diff --git "a/data/dm_maths/full_data_1/10409_11255.jsonl" "b/data/dm_maths/full_data_1/10409_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10409_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is ((-52)\/6)\/2 - 18798\/(-4446)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c**4 + 16*c**3 + 100*c**2 - 64*c - 336 = 0 for c.\nAnswer: -3, -2, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 58403 to the nearest integer?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 AM and 11:24 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000185563642 rounded to seven dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 3382*b**2 - 34*b + 5. What is the units digit of q(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/7)\/o**(-8)*(o**3)**(-21\/5))**15 assuming o is positive.\nAnswer: o**(-453\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-26 + 12 + 79)*(-129*k**3 + 8*k**4 + 129*k**3) as o*k**2 + n*k**4 + g*k + b*k**3 + x and give n.\nAnswer: 520","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 + -3 + 232160\/16 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1245807131 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/3016 and 103\/88?\nAnswer: 33176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = x - 2*q, 780*q - 778*q = 4 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -46, 2, 3 in decreasing order.\nAnswer: 3, 2, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x. Let m be i(1). Find the common denominator of (-4)\/10 + (-1281)\/(-90) and (4\/72)\/(m\/(-232)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 227*x**3*y**2 - 245*y**2 + 2 wrt x.\nAnswer: 681*x**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3916*-1.7.\nAnswer: -6657.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9 and 5531829?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 18529700 divided by 20\nAnswer: 926485","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -e10c - 1?\nAnswer: -e10d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -709*w**4 + 256*w**2 wrt w.\nAnswer: -17016*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*w + 31*w = -2*d + 11, 17 = 4*d - w for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -261896\/3795 + 286\/345. Let w = a + 68. Let m = 60 + -416\/7. What is the closest to 0.1 in m, w, 5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 387*i = -7746 - 3477 for i.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3844\/(-462) - (-288)\/36. Let s = 20\/33 + g. Let l = 1.4 + 0.6. Put l, s, -5 in increasing order.\nAnswer: -5, s, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2659418 is divided by 3709.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 76 and 38874.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 10, m: 2, p: 3}. Give prob of picking 1 m and 1 h.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of -2*o**4\/3 + o**3\/2 + o**2. Let p be (66\/99)\/(2\/(-6)). List the prime factors of m(p).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 3*g - 4*g - 15 - 6*g**2 + 11. Let x(m) = -7*m**2 - m - 5. Calculate -6*b(a) + 5*x(a).\nAnswer: a**2 + a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/591193 bigger than 31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v + 5. Let y(s) = -2*s + 11. Give 10*m(w) - 4*y(w).\nAnswer: -2*w + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sccsfsfffcucr. Give prob of sequence ufcr.\nAnswer: 2\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 1 + 4. Let c = w - -5. Let v(i) = i**3 - 2*i**2 - 3*i + 1. List the prime factors of v(c).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27447.6 - -27447. Sort h, -5, 29, -1 in decreasing order.\nAnswer: 29, h, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 15*g**2 + 12*g + 12 + 0 + 25 + 3 - g**3. What is the hundreds digit of l(12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 200 = v - 4*j, -3*v + 154 = -2*j. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.22757 rounded to one decimal place?\nAnswer: -8.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/21118648 and -83\/40.\nAnswer: 105593240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 47 - 53. Calculate the lowest common multiple of 60 and l.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 8*a - 27. Let z be 3\/15 - 5\/((-125)\/120). Let f(r) = 16*r - 55. Let j(x) = z*m(x) - 3*f(x). What is the hundreds digit of j(-20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 42 = 2*u. Suppose -u*s + 162 = -11*s. Is 22 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12745428997 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.4716 + -178.6416. What is w rounded to 0 dps?\nAnswer: -178","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 929b (base 12) to base 10\nAnswer: 15959","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 + 7. Suppose 3*j + i + 0 = 34, 58 = 5*j + 2*i. What is the smallest common multiple of o and j?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(-1\/5))\/o**8)**(-3\/10)\/(((o*o**(-1\/5))\/o**(-1))\/((o\/(o**4*o)*o)\/(o*o\/(o*o**(1\/5))))) assuming o is positive.\nAnswer: o**(-89\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 356 divided by -4\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 + 9*d**2 - 9*d + 13. Let k be n(-10). Suppose -f - 3*y = -21, 7*f + k*y = 3*f + 93. Is 24 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41503?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-7))**(-2\/5)\/(w\/w**(-14)*w\/w**4) assuming w is positive.\nAnswer: w**(-46\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -32\/53, -7334, 0.3 in descending order.\nAnswer: 0.3, -32\/53, -9, -7334","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 2 = -2*q - 5*d, 2*q - 1 = 5*d. Let c be (1 + 4 + -3)*q. Solve -5*b + 5 = 0, 0*r - b = r - c for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -135*z**2 - 3*z + 1. Let n(h) = 139*h**2 + 4*h - 2. What is 3*n(d) + 4*x(d)?\nAnswer: -123*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/10543?\nAnswer: -2\/10543","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4110852 to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 61120 divided by -3820?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 645 or 7101\/11?\nAnswer: 645","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000268 rounded to 6 dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 110 - 65. Suppose -i = 5*t - 20. Which is greater: t or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -58.07 and 1955080.\nAnswer: 1955021.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*g + 2*g - 100. Let o(k) = k**2 - 9*k - 11. Let f be o(-8). What is the greatest common divisor of f and g?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, f: 2}. What is prob of sequence ff?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -f + 2, -12 = c + 5*f - 0*f. Let z = -65\/2 + 33. What is the second smallest value in z, c, 5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + 24 - 120. Let i(v) = 139*v - 4295. What is the remainder when q is divided by i(31)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31a (base 14) to base 3.\nAnswer: 211200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1122 - -300330102?\nAnswer: 300331230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 3*a - 19. Let s(v) = 3*v - 3 + 4 - a*v - 2. Let i(q) = 9*q - q + 1 - 9*q. Calculate i(y) + s(y).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 504600311 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3319, 0, -4 in descending order.\nAnswer: 0, -0.3319, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 542908 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*x + 22*x = 17*x - 18*x - 1820 for x.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 154487 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -209 + 143 = -22*r. Solve v - 11 = -r*p - 4*v, 4*v = -3*p + 7 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*-10328*2\/(-22). Let g = n - 941. What is the common denominator of g and 37\/14?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 74, 154, 236, 320?\n\"Answer: n**2 + 77*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1, 3\/7, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.112 + -40.988. Let m = f - -41. What is the smallest value in -11, m, -3\/5?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4213 - 1354 + 349234*p - 349230*p.\nAnswer: 4*p + 2859","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -4 (c) -0.0343 (d) 1395\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -33. Let p(b) = -1826*b - 1656. Let g(a) = p(a) + 2*x(a). What is the first derivative of g(v) wrt v?\nAnswer: -1826","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2102023331 + -101?\nAnswer: -2102030032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 177151330?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 4.730566nm?\nAnswer: 0.0000004730566","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 + 2*o - 8. Let i be w(4). Suppose x - i = 5*x. Let l = -5 + 8. Which is the smallest value? (a) -5 (b) l (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 60, 120, 178, 234?\nAnswer: 288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 PM and 10:44 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 16*w + 23. Give h(3).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n + 4 - 4 + (-2 - 4 + 4)*(-12 - 6*n + 12) + n - 3*n + 0*n + (-8*n - 23*n - 32*n)*(-5 - 7 + 5) to h*n + s and give h.\nAnswer: 449","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 568?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6048?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a kilogram in grams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of g**5\/20 + g**4\/6 - g**2\/2 + g. Let u be k(1). What is the first derivative of 0 - 2*f**2 + 4*f**2 - 3 + f**u wrt f?\nAnswer: 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a + 9*a - 7*a + 2*a - 9*a.\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6097 - 6075. Solve -k - 5*v = 14, -5*v = -12 + l for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9445 - -9446. Let a = 3.1 + 1.9. What is the nearest to -0.1 in a, -14, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 4*y + 6*y = 4, -a - 13 = 5*y. Suppose 0 = a*d - 3 - 13. What is the highest common factor of 40 and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 153, 326, 499?\n\"Answer: 173*a - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7290?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 428 a factor of 6206000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 474 + -471. What is the highest common factor of 123 and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, q: 3, z: 2, r: 9}. Give prob of sequence zrq.\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10484*q**5 + 3815*q**5 - 5380*q**5 - 2*q + 2*q + (3*q - 3*q + 2*q**2)*(0*q**3 - q**3 + 2*q**3).\nAnswer: -12047*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 289117 and 17947.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 - 9*d - 16. Let k be w(-6). Let x be 2 + (-6)\/k + 16 - 1. Let i = 19 - x. Does 2 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-55 + 3 - (-11 + 13)) + -7 + 5 + 6.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((18\/12)\/(210\/(-80)))\/(198\/11)?\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -5 - 21*z**2 - 14*z + 4*z + z**3 + 0*z**3 + 27. What is the units digit of d(22)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 5*h = 8345, 6*f - 5*f - 1677 = -h. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**(2\/9)*b*b*(b**(6\/11)*b)\/b)\/(b\/(b*b**(-2\/5)\/b)*(((b\/(b**(-2\/5)\/b))\/b*b)\/b*b)\/b))**(-7))**50 assuming b is positive.\nAnswer: b**(-33530\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-a - a - a)*(8 - 5 - 10)*(-2 - 3 + 3) + 0*a + 5*a - 4*a to q + f*a and give f.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 - (34 + -2 + -17 + -1) - -19?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 2 = -3*f. Suppose f*q - 3*d - 118 = -2*q, 3*d = -3*q + 78. What is the units digit of ((63\/q)\/3)\/((-1)\/(-100))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003050195425 to five dps.\nAnswer: 0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - -2) + -2 + 1. Suppose u*t + 12 = 4*k, -6 = 2*t - 2*k - 0*k. Suppose t = -3*m - 2*h + 16, -3*m = m + h - 18. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in seven quarters of a second?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, -5, 2\/13, 0.5, -3.\nAnswer: -24, -5, -3, 2\/13, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*j + 1 - 8)*(5*j - 2*j - 4*j) + (-5*j + 2*j + 4*j)*(0 + 3*j + 0).\nAnswer: 5*j**2 + 5*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*619\nAnswer: -247.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7536585 + 4*c**2 - 7536585.\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6109292?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160 is divided by 25.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 3*p = 695, 6*l - 7*l = -2*p - 697. Is l 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 {o: 9, p: 3, a: 4}. What is prob of picking 1 o, 1 p, and 1 a?\nAnswer: 27\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14733 - 14731. Solve -8 = -5*l + r, 2*l - 10 = i*r - 2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kua when three letters picked without replacement from {o: 1, r: 2, k: 4, u: 4, a: 1, z: 3}?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 610 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, u: 1, t: 3, g: 2, y: 6}. Give prob of picking 1 g and 1 t.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 9*w**3 - 776*w**2 + 171*w - 4. What is t(86)?\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 1 + 3)*(3 + 3 - 3)*(8 + 6*j - 8) - 1 - j + 1.\nAnswer: -55*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/11? (a) -0.2 (b) -18 (c) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w - 8*w - 8 = 0. Find the third derivative of 3*k**4 + 4*k**w + k**2 + 5*k**2 wrt k.\nAnswer: 168*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1\/4 of a kilometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 25 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 26897176 to the power of 1\/3, to the nearest integer?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 14 + (-4 + 3)*3. Let f = 5 + x. Is 17 >= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1505 - 1928. Is d at most as big as -421?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 47\/4 in -5, 40, 3, 0.1, 1.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 AM and 9:06 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23008 = -42*c - 11453 + 27295. What is the remainder when c is divided by 187?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 418 + 6 + -11 + 11. Let r = y - 132. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -28 - -37. Suppose 5 = 7*v - a. Suppose 22 = v*z - z + f, -2*f - 94 = -4*z. What are the prime factors of z?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -6, -3, 117 in descending order.\nAnswer: 117, 1, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 - 1. Let s be (2 - 1)*(8 + -7). Determine c(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 103 - 101. Put -3, 25, t in descending order.\nAnswer: 25, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1826.999992697 + -1827. What is b rounded to seven dps?\nAnswer: -0.0000073","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 606, 1214, 1824, 2436?\n\"Answer: x**2 + 605*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000101011110 - -1111?\nAnswer: -1000101001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 88\/12144345 and 31\/668819?\nAnswer: 230742555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135872 is divided by 11322?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 271*i = 276*i - 4*o - 159636, 127684 = 4*i + 3*o. What are the prime factors of i?\nAnswer: 2, 23, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -35618468 and -5.\nAnswer: 178092340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - 0)\/(1\/2). Suppose 0 = -2*f + 5*w + 31, v*f - 6*f + 7 = w. Solve -4*t + f = -t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -7 (b) -12 (c) -2\/19 (d) -2 (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is 6.614088 centuries in millennia?\nAnswer: 0.6614088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13126 is divided by 4374.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 597.7194 + -602.6894831. Let q = -4.97 - r. Round q to five dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9835 by 33.\nAnswer: -9835\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16346338?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 - 32*r + 53. What is f(10)?\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -27822791, -27822794, -27822799, -27822806?\n\"Answer: -z**2 - 27822790","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 12 = -4*d. Differentiate 10*t**d + 18 + 2*t**3 - 5*t**3 - 8*t**3 wrt t.\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7\/21 - -8*(-1)\/(-3). Let g(c) = 2*c**2 + 4*c - 12. Let t be g(n). Suppose -13*i + 515 = -t*i. What is i rounded to the nearest 10?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, l: 1, m: 1, j: 2}. Give prob of sequence jlu.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2\/22 + (-1748)\/(-44)*26?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -53.58 rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1346670315.\nAnswer: 3, 5, 19, 37, 42569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 360947 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -2*l**5\/13 + 20*l**4\/13 + 526*l**3\/13 - 4536*l**2\/13 - 17640*l\/13 = 0.\nAnswer: -15, -3, 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*9\/(-3))\/(109\/763)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/(((z\/(z\/z**(-6)))\/z)\/z)*z*z))\/(z**(-4)*z))\/(z**0)**(-4\/37)*(z**(4\/7)\/z**5)**(-7\/3) assuming z is positive.\nAnswer: z**(10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 343, 10, 22, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 2*p - 15 = 2*x, -5*x + 2*p = -29. Suppose -6382 - 5595 = -x*i. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46 = -4*u - 62 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 1\/4 (c) -3 (d) 12 (e) 6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 13*o**3 + 16*o**2 + 6*o. Let c = 271 - 273. Let b(k) = -4*k**3 - 5*k**2 - 2*k. Let q = -31 - -24. What is c*a(x) + q*b(x)?\nAnswer: 2*x**3 + 3*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (6 + (2 - (3 + -2)))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*0.107.\nAnswer: 0.0214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.0964 + 0.0736. Let l = -0.5 + 0.37. Let y = l - o. Sort 4, y, -2\/11.\nAnswer: y, -2\/11, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -4*r - 2. Let s = -7 + r. Let f(b) = b**3 + 5*b**2 + 4*b + 1. What is the units digit of f(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of 1\/42*g**7 - 19\/6*g**6 - 17825\/6*g**4 - 29791\/2*g**2 + 6 + g + 62465\/6*g**3 + 307\/2*g**5. Solve j(l) = 0 for l.\nAnswer: 1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of o**3*z + o**2*z - o**2 - 2*o*z - 5*z - 1298 wrt o?\nAnswer: 3*o**2*z + 2*o*z - 2*o - 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 136\/(-20) + 1\/(8*13\/1040)?\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75 = 597*h - 647*h - 1375 for h.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 267, 1119, 2545, 4545?\n\"Answer: 287*b**2 - 9*b - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 301 - 21330?\nAnswer: -21023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/r**(-2\/11)*r\/r**(-5))**37)**5)**(-33\/5) assuming r is positive.\nAnswer: r**(-8769)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10535724 (base 10) to base 9.\nAnswer: 21737260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (81 - (-6 - -1 - -2)) + 19 + -14 + -6?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22256.\nAnswer: 2, 13, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w\/(w*w**(1\/6)*w)))\/w)\/((((w**(-2\/13)*w)\/w*w)\/w)\/w)*(w\/(w**(-2)*w))\/w*w**5)**(-7) assuming w is positive.\nAnswer: w**(-4543\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 433981\/21891050 + 130\/11833. Calculate the common denominator of k and 49\/4810.\nAnswer: 24050","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 240433 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -112*m**2 - 2*m + 4. Let s be v(3). Round s to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 13*w**2 + 3*w + 1. Let u be a(3). Suppose -3*b - u = 5*k, -19 = 4*b - 2*k + 107. Let i = -30 - b. Put i, 5, -14 in ascending order.\nAnswer: -14, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10200 + 2?\nAnswer: 10202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1426 - 1383) + -1 + -60.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 (base 15) in base 3?\nAnswer: 12021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.3 - 6.3. Which is the second biggest value? (a) 0 (b) v (c) -2\/5 (d) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2*s**2 + 10*s + 11. Calculate r(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*m + 1228 - 1228.\nAnswer: -26*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*p + 9 + 10 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, w: 2, u: 1, v: 2, e: 2}. Give prob of sequence wv.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b + 2. Let u(g) = -g**3 + 3*g**2 - 4*g + 3. Let p be u(1). Let o(r) = 4*r**2 + 3*r - 1. Let w be o(p). Calculate h(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 PM and 3:46 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (-235)\/(-470) - 293001\/(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 393 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 3:39 PM?\nAnswer: 4:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 8 + 1 + 9*b - 8*b. Let g be y(7). Solve 3*v - 19 = 6*v - 4*s, 3*v = s - g for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {u: 2, q: 3, t: 7}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 251 - 220. Suppose x = -t + 35. Solve -t*g - 6 = -2 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2 + 8610*x - 25821.\nAnswer: -(x - 8607)*(x - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(1872) + -3 + 2 + -1)**2 + -2.\nAnswer: -24*sqrt(13) + 1871","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.2289 rounded to two decimal places?\nAnswer: -4.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2636 (base 9) to base 14.\nAnswer: a13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -56, -62, -62, -50, -20?\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -457 and 0.1?\nAnswer: -45.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 5 - 7 - (8 + -4)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.5 from 163169470.06.\nAnswer: 163169470.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18 - -13. Suppose 328*w - 157 + 482 = -331. Which is smaller: i or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -38182*n**2*z - 3*z + 847 wrt n?\nAnswer: -76364*n*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -218262415 + -17.044?\nAnswer: -218262432.044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -725*n - 1059 + 17734 = 0 for n.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -206, -4, -1972.\nAnswer: -1972, -206, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 1 + (-646)\/171.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9684834 < 29054500\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-124)\/(((-2)\/6*-3)\/(-1)) is divided by 47?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-33)*-2*6*36\/216?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21 - -13. Let k = 6 + h. What is the closest to 1\/3 in k, -2\/11, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16752, -66980, -150752, -268116, -419120, -603812, -822240?\nAnswer: -1074452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 AM and 3:18 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 145 - 150 - (6 + 31).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + 26\/(-30) + (-365288)\/(-840). What is the highest common factor of i and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 25*g. Let o(t) = -3*t**2 + 359352. What is l(o(m))?\nAnswer: -75*m**2 + 8983800","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -2 + -2*(-4 + 0 + sqrt(2299) + 0) + -5)**2.\nAnswer: 88*sqrt(19) + 9200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1358394 is divided by 419.\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2*z - z**2 + z**2 + 2*z**2 - 2. Let v be (-5 + 6)\/(2\/4). Determine i(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 175542 + 76*a - 175542 in the form o*a + x and give o.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 - 7*n**2 + 8*n - 5. Let c = 212 - 199. Suppose 14*s - 83 = -c. Determine i(s).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 + 8*h + 1. Let f(y) = -y**2 + 9*y + 1. Let o(n) = -3*f(n) + 4*k(n). Let m be o(4). Let r(d) = -d**3 + 5*d**2 + d. What is r(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + t + 140 = 0, -3*b - b = 5*t - 140. What is the remainder when 11 is divided by 10\/b - 19\/(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-3\/4))**(-13) assuming f is positive.\nAnswer: f**(39\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 152 and 2584?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -48 - -53. Put j, 3, -3, 0 in ascending order.\nAnswer: -3, 0, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38478564 divided by 6.\nAnswer: 6413094","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1834702 = 4*f - 3*r + 245286, -r - 2600004 = 5*f. What is f rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31753530 minus 113570?\nAnswer: -31867100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from babjjajbabab. Give prob of sequence aj.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 + 4*h**2 + 6*h - 3. Suppose 3*w - 20 = -5*y, 0 = -3*y + 5*w - 14 - 8. Let o be (3 - (y + 12))\/(-2). Give r(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-54)\/45*350\/21 - -9.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -40503\/2 - -20252. Which is the closest to 0.05? (a) -38 (b) 1\/9 (c) -2 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -471, -513, -555, -597?\nAnswer: -639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = 8*b + d, 4*b - 51*d - 2 = -35*d - 14 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-20 - -16 - (-1 + -9)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -17*l**2 - 69*l + 5. Let c(z) = -15*z**2 - 68*z + 4. Calculate -5*c(m) + 4*h(m).\nAnswer: 7*m**2 + 64*m","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (2 + 5 - (2 + -2)) + -4?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 PM and 2:23 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, h: 2, i: 4, b: 1, z: 6, o: 3}. What is prob of sequence izzf?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 - 3*j + 1. Let y be o(-3). Suppose -13 = -3*i - y. Solve -2*w = -3*w - i for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 953670630 to the nearest integer?\nAnswer: 984","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 202150284 divided by -1142092?\nAnswer: -177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3559*f + 2512 = 3560*f. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 90*a**2 - 3*a + 7. What are the prime factors of y(3)?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (-1 + 0))*(-33)\/(-88)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-3) - (-303)\/9. What is the highest common divisor of 11 and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/179 (b) -32 (c) -38 (d) -0.3 (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*v**2 + 4*v**3 - v**2 - v - 3 - v**3 - 2*v**2 in the form t*v**2 + k*v**3 + a + o*v and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + 3 + (-33)\/1. Suppose 0 = -q + 3*q + 40. Let v be (-17)\/f + 8\/q. What is the third smallest value in -4, v, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + 3. Suppose a*l = 5*b - 1 - 4, 4*b = -3*l - 24. Let j(u) = -u**3 - 5*u**2 - 5*u + 2. What is j(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17703 - 35414 + 17709 - 141*u.\nAnswer: -141*u - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 10*v. Let h(n) = n. Let x(i) = -c(i) + 8*h(i). Let m(u) = 9*u**2 + 71*u - 18*u - 53*u. Give x(m(b)).\nAnswer: -18*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*k**2*n*z - k**2*n + 102*k**2 + 3*k*n*z + 5*n*z - 2*n wrt k.\nAnswer: -8*n*z - 2*n + 204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 7*g. Let i = -3 - -3. Let a(m) = i - 1 + 2*m + 1. Give d(a(b)).\nAnswer: 14*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -66.99999957 - -67. Round p to seven dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2122476 (base 9) to base 7.\nAnswer: -12443406","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2*j**3 - j**2 + 2*j - 1. Let g be l(1). Let w(d) = -178*d - 694. Let i be w(-4). Solve -4*s = -g*u + u - 10, -5*u - i = -4*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1901 + -1077. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59721 is divided by 19818?\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5046303?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -145*g + 13049. Let l be p(90). Let h(y) = 4*y**2 - 3*y + 1. Let m(c) = -c**2 - c + 1. What is l*h(o) + m(o)?\nAnswer: -5*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ybskykyys. Give prob of sequence kys.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 104400860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, d: 3}. What is prob of sequence kkd?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2015, -0.1, 0.06, -0.3.\nAnswer: -0.3, -0.1, 0.06, 2015","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*t + 697 - 193. Let l = 44 + t. Solve f + 4*k = -l, k = 3*f - k + 6 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 3:57 PM?\nAnswer: 5:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 - 24*z + 29. Let f be w(25). What is the highest common factor of f and 135?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -1293218, -3.\nAnswer: -1293218, -3, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*j + 64*j**2 - 4*j - 81*j**2.\nAnswer: -17*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2724 by 2.\nAnswer: -1362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, 69, 172, 335, 570?\nAnswer: 889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6 + 14 - 14*s - 6 - 3*s**2 + (-1 + 1 + s)*(3*s + 3*s + 8*s).\nAnswer: 11*s**2 - 14*s + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -657 = 14*o - 741 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -149*b**4 + 149*b**4 + 14*b**3 + 2*b**5 - 2*b + (4*b**3 - 6*b**3 + b**3)*(-3*b**2 - b**2 + 3*b**2).\nAnswer: 3*b**5 + 14*b**3 - 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*t + 1459 = -59*t + 5229 for t.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 24252298?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 less than 558897210169?\nAnswer: 558897210136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 34 divided by 17\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83117 is divided by 27666?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 + -1 + 0)\/7. Let a be 2 + 5\/((-50)\/16). What is the closest to a in -1\/9, 2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, -5, 517.\nAnswer: -5, -3, 2, 517","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 117 and 22373?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0283449 and -1.\nAnswer: 0.0283449","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -70, 7\/5, -1, -18\/7 in increasing order.\nAnswer: -70, -18\/7, -1, 7\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 338.719 - 0?\nAnswer: 338.719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 43, -19, -101, -209, -349, -527?\n\"Answer: -n**3 - 4*n**2 - 43*n + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1077*s = 1087*s - 40 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -772*u + 755*u = 119 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 489351 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-18) - 117001\/(-9). What is j rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 + 5*l**2 + 8*l - 1. Let j be v(6). Suppose j*d + 16*d = 9045. Does 8 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -86 - -83. Let f = o - -3.00141. Round f to 4 decimal places.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -213223322 (base 4) to base 9\nAnswer: -266875","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 57125?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42262, 84434, 126606, 168778, 210950?\nAnswer: 253122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -587 - -587. Differentiate 8 + 15 + h**2 + 19 + x*h**2 - 51*h - 12*h with respect to h.\nAnswer: 2*h - 63","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 33126\nAnswer: 3312.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 82646115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1231523 to the nearest integer?\nAnswer: 1110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 2:49 AM?\nAnswer: 3:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 2*w. Let j(z) be the second derivative of 37*z**3\/6 + 2*z - 12. Give i(j(k)).\nAnswer: 74*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 3*b + 1. What is k(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 112141 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -20*(1 + 14\/(-4)). Suppose -g = 5*j + 40. What is the units digit of (2 + -2 - j) + -1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 AM and 12:44 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1811931050 to the nearest integer?\nAnswer: 42567","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.423 - -1.3479. What is g rounded to 2 dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of i**7\/840 - i**6\/120 - i**4\/24 + i**2. Let d(p) be the second derivative of x(p). Factor d(k).\nAnswer: 3*k*(k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5669 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v**5 + 946191*v**4 - 74605977585*v**3 - 74614493319*v**2 + 596844036096*v + 895283085636 = 0. What is v?\nAnswer: -2, 3, 157699","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 255307\/1903 < 133?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + -10. Suppose -3*b + 2 - 5 = i. Let w(l) = -6*l**3 + l**2. Let y be w(b). Calculate the greatest common divisor of y and 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39639 divided by -73?\nAnswer: 543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**10)**(11\/3)*(s\/(s\/s**(-6))*s)**17 assuming s is positive.\nAnswer: s**(-118)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 784 and 1078?\nAnswer: 8624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/5652 and -17\/65940?\nAnswer: 197820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 2*d - d - 56, 0 = 2*t - 4*d - 56. Suppose -g - 2*o = o - t, 3*g = 3*o. Solve g*c - v = -23, -4*v + v = 6 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, -101, -5?\nAnswer: -101","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*o**3 - 26*o**3 - 41*o**3.\nAnswer: -78*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47, 51, 43, 17, -33?\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of 0 + 0*q + 1\/24*q**4 - 1\/30*q**5 + 14*q**2 + 1\/3*q**3. Give z(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 - 661*c - 8764. What is o(-13)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 256 is divided by 34.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -71886.3452 rounded to the nearest integer?\nAnswer: -71886","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -196*t + 201*t = 3*z - 14, 3*t + 15 = 4*z for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17588 - -17590. Solve 4*f = 5*z - 0*z - 1, -3*f = k*z - 5 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - -1. Let q = 0 + b. Suppose -q*x = -5*w + 14, 2*x + 2*w - 10 = w. Solve m = -4*d, x*d + 3*m - 17 = -2*m for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 33196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 10525, 10533, 10543, 10555, 10569?\n\"Answer: n**2 + 5*n + 10519","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -125\/7908 and 70\/58869.\nAnswer: 155178684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 109, -23, 8 in increasing order.\nAnswer: -23, 8, 109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - 25)\/26 + 10\/4. What is the fourth smallest value in 3, -27, 49, t?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 12 - 75*j - 9 to the form r*j + k and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 33 + -32.885. Let u = f - 0.135. Which is the nearest to 0? (a) 0.1 (b) -3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-37)\/(-8) - (-12)\/32. Solve -z*b = w - 29, 4 = w - 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -132 or 15?\nAnswer: -132","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 196, 12, 2, -248, -1 in ascending order.\nAnswer: -248, -1, 2, 4, 12, 196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k - 49 = 4*k - d, -3*k = 10*d - 65 for k.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/9)\/p*p)**(1\/26)*(p\/((p*p**(5\/3)*p)\/p))\/((p\/(p*p**0))\/p) assuming p is positive.\nAnswer: p**(-79\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3598*s**3 - 2102 with respect to s.\nAnswer: -10794*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*y + 15*y - 22*y**2 - 1 + 20*y**2 + 3*y**4 as g*y**4 + u*y**3 + n + p*y**2 + c*y and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0285 rounded to 2 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(1\/4))**36\/((h*h*h\/h**4)\/(h**1*h)))**5 assuming h is positive.\nAnswer: h**240","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 98735 + -0.021481\nAnswer: 98734.978519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 981, 977, 973, 969?\nAnswer: 965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 184*n = 181*n - 3*v + 3, -5*v + 19 = -2*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 (base 14) in base 3?\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -32.3 + 31. Let i = 7.3 + t. Let k = i - 10. Which is the smallest value? (a) -5 (b) k (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 7.29, 0.02, -4, 2?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.241 + -0.241. Let u be 6\/10 + 98\/(-105). Which is the nearest to 2\/3? (a) u (b) v (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 396 = 3*o - 24. Suppose 0 = 6*p - 2*p - o. Is 19 a factor of (-2)\/(-7) + 865\/p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -4. Suppose 3*b + 3 = 4*k, b + 3 = u*k - 0*b. Suppose k*n + n - 64 = 0. Calculate the remainder when n is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 528 and 207504.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 8 = -2*u - 3*d, 5*u = -4*d + 18. Let j = u + 0. Suppose -25 - 50 = -5*a. Solve -j*m = m + a for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4057975 a multiple of 205?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of -2\/3*o**3 + 0*o + 0 - 1\/24*o**4 - o**2. Give q(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-22))**(-18)*r*r**32*(r**(-3\/2)\/r)\/r assuming r is positive.\nAnswer: r**(851\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 950245 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/((-100)\/(-8))*20 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.8, -4\/7, -1\/2, 4.\nAnswer: -0.8, -4\/7, -1\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 7, x: 3, h: 9}. Give prob of sequence cx.\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uttf when four letters picked without replacement from fbkbfubusttufktb?\nAnswer: 9\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -4*p**2 - 1448*p - 7138. Give c(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.405 (b) -3 (c) -4 (d) 2\/213\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(18\/11)\/s**1)**(-3\/16))**(-1\/32) assuming s is positive.\nAnswer: s**(21\/5632)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 4*i - 21 + 9 = 0, 0 = -5*c - 4*i + 15. Suppose -4*n - 2*h - 36 = h, -c*n - 27 = 5*h. Sort 1, 0, n in decreasing order.\nAnswer: 1, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (48 + 66 - 15 + (0 - 5 + 4)*(-1 - 1 + 1) - 4 + 7 + 1)*(9*g - 6*g + 3 - g).\nAnswer: 208*g + 312","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 9 = 6*u - u, 16 = -4*p. Let q be ((-690)\/45)\/((-3)\/((-171)\/2)). Let w = 439 + q. Is w at least as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(9\/5)*o*o\/(o\/((o\/(o*o\/(o**(-8\/9)\/o)))\/o)))\/(((o\/(o\/o**(4\/7))*o)\/o)\/o**(2\/9)) assuming o is positive.\nAnswer: o**(-151\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.84 + -0.16. What is the fourth biggest value in r, 1\/7, 0.4, 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9173?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 94928881?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24999\/16 - -1563. Find the common denominator of -9\/22 and f.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001108238186 rounded to seven dps?\nAnswer: -0.0001108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 30 + -1a52?\nAnswer: -1a22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 91*z. Let s(w) = w. What is s(b(u))?\nAnswer: 91*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, g: 2, a: 1, c: 1, h: 2}. What is prob of picking 1 c and 1 h?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of -2*p**3\/3 - 21. Let h be 2\/6 + (-4)\/(-6). Let n(r) = -23*r - 1 + h + 0. Calculate n(t(a)).\nAnswer: 46*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 10110100101010 (base 2) in base 16?\nAnswer: 2d2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 346?\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -89.21 - -1\nAnswer: -88.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -4*r**3 + 6*r**2 - 7*r + 20. Let x(i) = -3*i**3 + 7*i**2 - 8*i + 21. Let q(l) = 4*v(l) - 5*x(l). List the prime factors of q(-13).\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hughgzhhhhhhuh. What is prob of picking 1 z and 2 g?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + s - 1309381 = -5*c, -1309397 = -5*c + 3*s. Suppose -2*f + 342149 + 134097 = 0. Let n = f + c. What is n rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 2. Let h(t) be the first derivative of 7*t**4\/4 + t**3 - 3*t**2 + 6*t + 752. List the prime factors of h(g).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, -3\/2, 26, -0.2, 53.7, 2\/11?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -4*q - 54, -4*d - 198 = -5*q - 45. What are the prime factors of (7\/(d\/88))\/(2\/(-60))?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 - -6. Let x(l) = -l**3 - 2*l**2 - 2*l + 4. Let h be x(u). Suppose -h - 14 = -o. Does 11 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70) + -4*(sqrt(70) + 1*sqrt(70)) - 6*(sqrt(70) + sqrt(70)*5 - sqrt(70)))\/(-6*sqrt(160)*-1 + (2*sqrt(160) - sqrt(160))*-5).\nAnswer: -37*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 229*c**4 + 3*c**3 - 69*c**2 + 53*c + 67060194 wrt c.\nAnswer: 916*c**3 + 9*c**2 - 138*c + 53","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 5*a**3 - 25*a**2 + 6*a - 669. What is the hundreds digit of r(20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j = -10*j. Suppose 2*q + y - 64 = 4*y, -3*q - 5*y + 115 = j. What is the remainder when q is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 16*t**2 - 248*t + 532. Calculate j(13).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-78)*(2 - 231\/111). Let y = t - -2393\/2886. Calculate the common denominator of y and 27\/128.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 271602109*b**3 - 289341*b**2 - 329.\nAnswer: 1629612654","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 - 8*q**2 - 26*q - 15. Let x be w(11). Factor 66*f**3 + 2*f**5 + x*f - 62*f + 72*f**2 + 20*f**4.\nAnswer: 2*f**2*(f + 3)**2*(f + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -614946 and -404.\nAnswer: 248438184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 49, -5\/7, 0.2?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/((65\/10)\/13). Determine d, given that -3*d**2 - 4 - 12*d + f - 9*d + 20 = 0.\nAnswer: -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 1280*h**3 - 641*h**3 - 626*h**3.\nAnswer: 13*h**3 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16\/5 + 12*z + 38\/5*z**2 + 6\/5*z**3.\nAnswer: 2*(z + 2)*(z + 4)*(3*z + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -2*g + 1. Let z be ((-6)\/(-4))\/(-3)*10. Let u(s) = 3*s - 1. Let m(y) = 3*y + 36. Let x be m(-13). Give x*u(c) + z*v(c).\nAnswer: c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 + 2. Suppose 5*d - 4*d = 0. Let s = 2 - d. Suppose 0 = z - s*z + 5. Let j(p) = 3*p**3 + 4. Calculate z*g(n) - 2*j(n).\nAnswer: -n**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, -428, 3, 9.\nAnswer: -428, 3, 9, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 l when two letters picked without replacement from lrlosovroovvorvoovvr?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-612)\/(-34))\/((2\/(-3))\/((-37)\/(-222))).\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(2\/5)\/g)\/g)\/g)\/(g*((g**0\/g*g)\/g)\/g)*(g*g**1\/g*g)**1*(g\/(g*g*g**(1\/3)\/g)*g**6)**(1\/9) assuming g is positive.\nAnswer: g**(139\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i\/(i**(-1\/27)*i)))\/(i\/(i*i**(-13\/3))))\/(i**(-2\/39)\/i*i\/(i*i**(2\/17))) assuming i is positive.\nAnswer: i**(-13136\/5967)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -12610 divided by 485\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = -n - 20, 9*w - 56*n = -54*n - 45 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28978.177256 - 28978. Round w to three decimal places.\nAnswer: 0.177","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-45298)\/660 + 65 + 14\/5\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -752*h + 761*h + 45. Let k(v) = v**3 + 5*v**2 - 5*v - 7. Let l be k(-5). Sort h, -2, l, 4.\nAnswer: h, -2, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5.95 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*y**2 + 0*y**4 - 2*y**3 - 4*y**2 - 2*y**4 + 1 as z*y**4 + x*y**2 + n + o*y + b*y**3 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -57740, -108340, -158940, -209540, -260140?\n\"Answer: -50600*r - 7140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - -6*((-78)\/18 - -3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1361?\nAnswer: 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -4*r**2 + 11*r + 161. Calculate u(8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -852 = 354*k - 283*k for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s**3 + 4*s**3 + 2*s**3)*(-46 + 46 + s) + (-3*s + s + 7*s)*(-3*s**3 + 4*s**3 - 3*s**3).\nAnswer: -8*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2*z**3 + 6*z**2 + 37*z - 16. Let t be v(9). Calculate the greatest common divisor of t and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 4 - 2)*(-4*i + 0*i + 3*i) + 5 - 5 + 4*i + (9*i + i - i)*(-20 - 13 + 2) in the form d + a*i and give a.\nAnswer: -276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 104270 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 - 2 + 2)*(-3*g**2 - 2*g**2 + 4*g**2)*(-19*g**2 + 0*g**2 + 4*g**2) to the form r*g + u + d*g**3 + o*g**2 + z*g**4 and give z.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 22 = -4*t, 4*t - 22 = -3*q + 3*t. Suppose -2558 - 742 = -q*g. What is the hundreds digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than 134\/12193?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11 and 70636214?\nAnswer: 70636214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2*m. Let v(u) = -u + 1. Suppose 5 + 7 = -3*c. Let s be -1 - (1 + c) - 8. Let h(l) = 7*l - 6. Let w(b) = s*v(b) - h(b). Calculate q(w(p)).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d - d + d + (-9 - 7682*d - 7645*d + 15182*d)*(0 + 1 - 2).\nAnswer: 147*d + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyojeekj. What is prob of sequence jje?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum -300.4 and 219039524586.\nAnswer: 219039524285.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 2*o**4\/11 - 1196*o**3\/11 - 22142*o**2\/11 - 1904*o = 0.\nAnswer: -17, -1, 0, 616","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 662030682 to the nearest integer?\nAnswer: 872","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*n + 2336098 = -3*n. List the prime factors of n.\nAnswer: 2, 31, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -242\/7 - 44\/7*v - 2\/7*v**2 = 0.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 11:00 AM?\nAnswer: 10:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -10*f - 5. Let w be y(-3). Suppose -5*t - w = -65. Calculate the remainder when 13 is divided by t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -21959*p + 15*p**2 + 21959*p + 63*p**3 + 19*p**3 as q*p**3 + x + w*p + i*p**2 and give q.\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 50 + -33. Let g = i + -21. Let j = -20.01 - -20. What is the smallest value in j, 0.1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(1\/7)*x\/(x**5\/x) assuming x is positive.\nAnswer: x**(-20\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -1\/59 (b) 0.5 (c) -31021 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59066 is divided by 139.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = b, 4*a - 4*b = -8*b + 28. Solve -j - a*u + 6 = 0, 4*u = -5*j - 5 + 2 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -11*r - 1. Let j be 3\/(9\/1)*33. Let f be 2\/j - (-52)\/(-44). Is 5 a factor of t(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -7*n - 39. Let p be z(8). Let s = p + 93. Which is the third smallest value? (a) s (b) 7\/6 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28.7 + -29. Which is bigger: q or -14\/3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 198381?\nAnswer: 3, 89, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 + 9*b**2 - 9*b + 13. Let q be l(8). Suppose 2*x = -n + q, -x = x + 3*n - 11. Suppose x = -f - 0. Put f, -2, -12 in descending order.\nAnswer: f, -2, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -6*q**2 + 2*q + 18. Let t(d) = -9*d**2 - 7*d**2 + 3*d**2 + 5*d + 37. Let k(o) = 5*r(o) - 2*t(o). Find y, given that k(y) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence en when two letters picked without replacement from eeonnoneenonn?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*d = 3*d + 6 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41843.\nAnswer: 41843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5\/(-15))\/((-4)\/672). Suppose 0 = 3*g, 2*k + 8*g - a = 6*g. List the prime factors of k.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1618.9 and 0.08.\nAnswer: 1618.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + 1. What is the smallest common multiple of 16\/2 + (3 - 1) and a + 0 - (0 - 13)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.7 (b) 6 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -6*p**3 - 27*p**2 - 168*p - 3. Is 53 a factor of z(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/15)\/(3\/15*-3)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 17900026 and 2619516.\nAnswer: 107400156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 69, -2, 179\/11 in increasing order.\nAnswer: -2, 179\/11, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2451331 (base 6) in base 15?\nAnswer: 28d44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38 (base 11) to base 15.\nAnswer: 2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/(-76))\/((-159)\/4558) - (1 + 12\/2)?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6032900?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -62*q + 16. Let u(m) = -1. Suppose 4*n + 32 = 4*v, -5*v = -0*v - 2*n - 46. Let i(z) = v*u(z) + a(z). What is the hundreds digit of i(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2879902 greater than or equal to -2879904?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 59 - 52. Calculate the remainder when 48 is divided by n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2739*d + 6554 = 865*d - 1403*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*w + 4*w = -75 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 3*v + 2*v = 30, j + 4*v - 25 = 0. Suppose 3*y + w = -0*y + 44, 5*y + j*w - 80 = 0. Calculate the highest common factor of y and 112.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.492 minus -0.20803?\nAnswer: -4.28397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 3 = -1. Suppose -3*k - 3*d + 21 = -6*d, 3*k - j*d = 18. Solve -2*f + 36 = -5*c + 8, -4*f = k*c for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19114?\nAnswer: 2, 19, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3065.5*-13.5.\nAnswer: 41384.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/6*(-19888)\/1582*(-3)\/(-2).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, 2\/7, 14\/3 in increasing order.\nAnswer: -2, 2\/7, 3, 14\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2703 and 3876?\nAnswer: 205428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*w = -8*w - 275 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 + 7. Let h = -0.1 - 0. Let x = 3.4 + -3. Sort x, c, h in increasing order.\nAnswer: h, c, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60) + sqrt(2940) + 2*sqrt(2940) + sqrt(2940) - (sqrt(60) + (-2*sqrt(600))\/sqrt(10)))\/(6*-2*sqrt(180)*1).\nAnswer: -5*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2303867 (b) -2\/7 (c) -21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 292127\/60 + -4869. Calculate the common denominator of 29\/96 and z.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6963624427 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2334 - 9157\/4. Let r = t + -45. Let u be (4\/(-16) + 14\/(-8))\/(-1). Which is the second smallest value? (a) 3 (b) u (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 293324.\nAnswer: 2, 73331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/3169656 and -127\/667296.\nAnswer: 12678624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48321 and 194526540?\nAnswer: 6903","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 + 21*x**2 - 257*x + 23. Let d be k(9). Solve -14*t - 224 = -d for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 - 14*m**2 - 11*m + 9. Let u be o(-13). Is u less than -14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4900691.\nAnswer: 701, 6991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (7\/((-441)\/(-28)))\/(4\/6)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 0 + 5)*(680*b + 231*b + 334*b + (-6*b + b + 4*b)*(2 + 0 - 3) + 2*b - b + b - 2*b + 4*b - 3*b + 5*b - 6*b + 3*b) to the form c + t*b and give t.\nAnswer: 4996","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3556 + 4825. What is the highest common factor of 54 and g?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.4 + 24.4. Let f = k - -2.6. Let o = -23 + f. Round o to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6174913?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 3*j + 14. Let m(w) = 3*w**2. Calculate m(s(v)).\nAnswer: 27*v**2 + 252*v + 588","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -73 (base 13) in base 5?\nAnswer: -334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qltoi. Give prob of sequence tio.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 84, 1\/4, -5, -7, 1.22?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**4\/3 + 144512*d**3\/3 + 48172*d**2 - 144512*d\/3 - 144514\/3 = 0. Calculate d.\nAnswer: -1, 1, 72257","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 687*i - 1295*i - 8*i**2 + 694*i.\nAnswer: -8*i**2 + 86*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z**3 - 5*z - 3. Let t be n(-5). Is (t\/3)\/((-4)\/2) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of -5 - 5*v - 2\/3*v**3 + 0*v**2. Differentiate m(z) with respect to z.\nAnswer: -4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -69054*q + 345268. What is l(5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 AM and 3:33 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -99570, -199179, -298828, -398517?\nAnswer: -498246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eegeleeele. What is prob of picking 2 l and 1 g?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 40 - 24. Suppose -3*u = 13 - b. Solve -9 = 2*q - u for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(80)\/((-4*sqrt(20))\/sqrt(5)))\/(sqrt(20)\/sqrt(5)*1 - 5*sqrt(20)\/sqrt(5)).\nAnswer: sqrt(5)\/16 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of -t**2 + 2*t + 54. Let r(i) = -i + 1. Determine -l(k) + 3*r(k).\nAnswer: -k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 134712, 134702, 134688, 134670, 134648, 134622, 134592?\nAnswer: 134558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 5*t - 4*t + 250, 0 = -5*t + 20. Suppose -5*z + 193 = -a. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 + 105*b + 1267. Give u(-11).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 - 2*i + 10. Let m(r) = -r + 5. Give 2*l(w) - 5*m(w).\nAnswer: -2*w**2 + w - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-9 + 2170\/126)\/((-90)\/405)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 + 6. Let c(z) = -2*z**2 - z - 11. What is -6*c(a) - 11*d(a)?\nAnswer: a**2 + 6*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 17096*o + 2 - 2.\nAnswer: -17096*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.37 times 0.06\nAnswer: -0.0222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -86 + 86. Determine b so that -4\/7*b**5 + 0 + w*b + 4\/7*b**3 + 4\/7*b**4 - 4\/7*b**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26010121 - 12.02.\nAnswer: -26010133.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 476657609?\nAnswer: 5171, 92179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10357865?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of -7*j**2\/2 + 65*j + 1. Suppose -2*m + 11*m - 94 = -256. List the prime factors of f(m).\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*k - 12*k + 4*k - 4*k + 42*k - 14*k.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x + 10. Let s be i(8). Let k be -3 + s + -1 + 3. Let o(a) = -a - k - 3 + 1 + 1. Give o(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7.99 - 7.89. Let g(t) = -t**3 - 4*t**2 + 6*t + 4. Let l be g(-5). Which is the fourth smallest value? (a) h (b) l (c) 0 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - 0. Let w(z) = -3*z - 10. Let r(k) = -5*k - 15. Let c(h) = 5*r(h) - 8*w(h). Give c(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -47*a**2 + 15*a**4 - 4626*a + 2311*a + 25*a**6 + 2316*a wrt a.\nAnswer: 3000*a**3 + 360*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 616170230, 616170231, 616170232, 616170233?\nAnswer: 616170234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2827567510?\nAnswer: 2, 5, 9007, 31393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 + 20*m**2 - 20*m + 18. Let w be z(19). Is (((-1761)\/(-6))\/w)\/((-12)\/24) 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 339526, 679045, 1018558, 1358065, 1697566?\nAnswer: 2037061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of z**4\/4 - 2*z**2 + 4*z. Let u(o) = 2*o**2 - 3. Let n(c) = 3*q(c) - 4*u(c). Let f(i) = -7*i**2. Calculate n(f(t)).\nAnswer: 49*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2021, -4043, -6065?\nAnswer: -8087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3013 (base 4) in base 2?\nAnswer: -11000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3082067563?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 - -15. Suppose 2*a - 2 = g. Suppose 0 = -2*w + 4*w + 2*o - 42, 0 = -5*w + a*o + 65. Calculate the greatest common divisor of 16 and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**6\/(n\/((((n\/(n*n**(4\/11)))\/n)\/n)\/n)*n))**31 assuming n is positive.\nAnswer: n**(217\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7013574.\nAnswer: 2, 3, 23, 5647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 167343 to the power of 1\/2, to the nearest integer?\nAnswer: 409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.42 and -17.\nAnswer: -7.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -14365?\nAnswer: -7182.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20691 divided by 3.\nAnswer: 6897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 49 - 45. Suppose 0 = 4*b + 2*h - 18, 7*b + t*h = 4*b + 26. Solve 5*u - 4*q = -28, -4*u - u - b*q - 16 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -37, 3, -1, -2\/3 in decreasing order.\nAnswer: 3, 2, -2\/3, -1, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 6*y = 504. Let c = y - 52. Suppose -3*h + 3*t + 44 = -2*h, -5*h + t = -290. Calculate the remainder when h is divided by c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0024 - -47.47\nAnswer: 47.4676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*a**2*u**3 + a**2*u**2 - 47*a**2*u - 23*a*u**3 - 11*u**3 - 3*u wrt u?\nAnswer: -12*a**2 - 138*a - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 57.898 + -83.141. Let y = 6.247 - j. Let w = y + -29.5. Round w to one decimal place.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 43 - 41. Let r = 39 - 39. Suppose r - 3 = -c + 3*l, m*l = 0. Solve 2*s + 7 = c for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 272 + 51 - 32*n**3 - 45.\nAnswer: -32*n**3 + 264","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*(-1 - -1)\/3. Suppose o - 4*l = 4*o - 4535, v = -5*o + 2*l + 7567. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*h - 36*h = -f - 8, 2*f - 4*h = 16 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 474 - 283. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 8*k**2 + k - 8. Let l(o) = -7*o**2 - o + 7. Let x(b) = 5*h(b) + 6*l(b). Let p(t) = -t + 7. Let w be p(9). Calculate x(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*m + 2*m + 3 - 7*m + 4*m to the form t + h*m and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 826*n + 16321 - 19023 - 14645 = 17345 for n.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 38 and 5833.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -147*z**3 - 138*z**3 + 273*z**3 - 13 - 1 to the form d*z**3 + w + l*z + y*z**2 and give d.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1689*-0.4\nAnswer: 675.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 2*m + 5, -j = -4*m - 5*j - 20. Let a be 642\/22 - m\/(-22). List the prime factors of a\/9 + (-2)\/9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12004829 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 19450?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3345 - -1736766?\nAnswer: 1742333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -511 = 5*c - 611. Is 2 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 AM and 8:09 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-240)\/25)\/(-6))\/((-2)\/5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1766 - 1353. List the prime factors of b.\nAnswer: 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -10*q + 21. Let n be p(8). Let x = n + 62. Determine d so that -6*d**2 + d**4 + 2*d**2 + d - x*d + d**2 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*s**4 - s**3 + 2*s**2 + 57.\nAnswer: -192*s - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 29 - 16)*(2 - 2 + 2*o**2) + (5*o - 5*o + 4*o)*(0 - 2 + 1)*(2 - 2 + o).\nAnswer: 38*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 146, 367, 602, 857, 1138, 1451, 1802?\nAnswer: 2197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -45*w + 2. Let d(s) = 13965*s - 1290. Let n(f) = -735*f + 67. Let j(x) = 6*d(x) + 117*n(x). Calculate 2*j(i) - 99*l(i).\nAnswer: 45*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 2) in base 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 155.5863207 rounded to the nearest 10?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -104 + 72. Let z = 30 + i. Let s = -0.5 - 0. What is the nearest to 1 in s, z, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 + 4*p + 2. Let q be u(-3). Let j(z) = -z. Let t be j(0). Let r be ((-5)\/(-210))\/((-1)\/4). What is the nearest to 1 in t, q, r?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k**3 + 2*k**2 + 3*k + 13. Let z(s) = 2*s**3 + 3*s**2 + 4*s + 12. Let d(n) = 3*p(n) - 4*z(n). Does 20 divide d(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -22*g**3 - g**2 + 2*g - 1. Let o(d) = d**2 + 4*d - 29. Let f be o(5). Let j = f + -15. What is r(j)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 1. Let f(n) = -2*n**2 + 6*n - 8. Let q(o) = -o**2 - o. Let t(p) = -f(p) + 3*q(p). Is t(b) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + -1)\/((36\/42)\/3).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17463, -17735, -18007, -18279?\nAnswer: -18551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2012 - 2021. What is the closest to 1 in 1\/3, -2\/13, d, 5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - k + 5*v = 380, 510 = 4*k + 5*v. Does 12 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12704)\/(-6352))\/(((-1)\/(3\/21))\/(1\/1))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 71329119 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(110)*5)\/sqrt(10) + 3)**2.\nAnswer: 50*sqrt(11) + 300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + w**2 + 6 - 3*w**2 in the form c*w + x + h*w**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 629\/8 - 79. Which is the nearest to d? (a) 2\/9 (b) -1\/7 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 62235*d**4*n + 3*d**3*n - 2*d**2*n - d - 125*n + 13 wrt d?\nAnswer: 1493640*d*n + 18*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (82\/(-41))\/(-2 + (0\/3)\/3). Which is the smallest value? (a) 16\/79 (b) 0.02 (c) 4 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -273 - -265. Let i = z - -113. What is the highest common factor of i and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -8*y + 18. Solve 0 = -5*q - y - 1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 172, 660, 1474, 2614?\nAnswer: 4080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -107519 by 791.\nAnswer: -107519\/791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (5 - (-12 - 0 - -13))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1092*n**3 + 2592*n**3 + 3186*n**2 + 392*n**3 wrt n?\nAnswer: 11352","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 715169059 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3981294 (base 10) to base 14.\nAnswer: 758ca2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 27828 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -279*x**2 + 101*x**2 + 106*x**2 - 4837*x**4 - 910*x**4 - 6214*x + 74*x**2 wrt x?\nAnswer: -68964*x**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1806895\/568 not equal to -3181?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -624985 divided by 124997?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33145\/(-19887)*(-366)\/(-10).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*a - 15*a - 15*a + 60 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -206*z - 44058 = -227*z. List the prime factors of z.\nAnswer: 2, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5432351 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-6\/19)*z**(-21)\/z)\/(z\/(z\/(z\/(z\/z**(3\/14)*z)))*z)**(2\/53))**(2\/19) assuming z is positive.\nAnswer: z**(-314722\/133931)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 2343452?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b + 2. Let w(d) be the first derivative of -d**2\/2 - 4113. Give f(o) + 2*w(o).\nAnswer: -3*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 34668?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4*l**3 + 0*l**3 + 6*l**3)*(-2 + 2 - 4*l).\nAnswer: -8*l**4 - 4*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 1:18 PM?\nAnswer: 12:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 422 = 626. Is f a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 704790?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1183\/6, -3\/4, -1, 5, 3\/4 in decreasing order.\nAnswer: 1183\/6, 5, 3\/4, -3\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -34, -16, 22, 80, 158, 256, 374?\n\"Answer: 10*m**2 - 12*m - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o - 4. Suppose 84*g - 81*g = 9. What is j(g)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7 - (740\/5 - 6). What is the common denominator of (-5)\/5 - (5 + z\/35) and 41\/70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*r + 13*r + 184 = 3*s, 2*r + 64*s - 67*s + 176 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -141\/2030 and 73\/94?\nAnswer: 95410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 4*c + 6, 2*c = -2 - 4. What is the third biggest value in -2\/7, -0.7, 5, b?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07048 rounded to 3 decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1352 is divided by 1352?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 89690879455 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**5*y)\/((y\/y**2)\/y)*(y\/(y*(y*y*(y\/y**(-2\/9))\/y*y)\/y))\/((y**(-1)*y)\/y) assuming y is positive.\nAnswer: y**(61\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 111\/20 and (-55)\/(-5) - 12\/16?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18311039 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 93*t**2 + 0*t + 0*t - 335*t**2 + 1564*t**5 - 399*t**2 wrt t?\nAnswer: 93840*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 132, 1050, 3542, 8394, 16392, 28322?\n\"Answer: 131*h**3 + h**2 - 2*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 + 2 + -4)*1. Suppose u = -10*j + 745 + 155. Is 15 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - -31. Let n = 16 + -38. Let w = -13 - n. Calculate the remainder when d is divided by w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 + 8*d + 9. Let m be c(8). Let v(z) = -z**3 + 8*z**2 + 8*z + 12. Let a be v(m). Find the first derivative of o**3 - 2*o**a - o**3 - 2 wrt o.\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 PM and 8:43 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zv when two letters picked without replacement from {u: 5, v: 1, m: 3, p: 1, e: 2, z: 8}?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(-27)*-781874 - 2\/54*-6. Round n to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 + -4)\/(-3*3\/(-54)*(-18732)\/(-65116))?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -62 <= -103?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -63370260 divided by 15842565?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, c: 4, a: 3, n: 4, z: 1}. What is prob of sequence nca?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(156) - 5*(2*sqrt(156) - sqrt(156) - sqrt(156)))\/(sqrt(12) + sqrt(96)\/(3*sqrt(8)))*2)**2 + 3.\nAnswer: 597\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -9*s - 2. Let n(m) = -37*m - 8. Let v(h) = h. Let w(p) = -n(p) - 2*v(p). What is 9*g(a) + 2*w(a)?\nAnswer: -11*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.14 (b) -5 (c) -2\/1639 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 543\/7*q**3 - 52\/7*q - 464\/7*q**2 - 676\/7*q**5 + 8749\/7*q**4 = 0. What is q?\nAnswer: -2\/13, 0, 1\/4, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20281 + 34147. Is 21 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 181 - 211. Let g be (-16)\/(-6)*(d\/12 + 4). Solve 23 = -4*t + m, -g*t = -2*m + 21 + 5 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.25 (b) 0.5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -15, 7, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -263*j - 1788. Give c(-7).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 + 9*y**2 + 12*y - 2. Let t be n(-9). Let q be (-6)\/(-6)*(-1 - t). Let d = -64 + q. Calculate the remainder when d is divided by 17.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -3. Let u(m) = 4*m**3 - 3*m**2 + 2*m - 3. Suppose 2*y - 2 = 2. Let a(f) = f**2 + 1. Let c(j) = y*a(j) + u(j). Calculate c(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -634779 and 0.08.\nAnswer: -50782.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -4.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 21\/18 - 1\/4. Let z(d) be the second derivative of g*d**4 - 10*d + 0 + 0*d**3 + 0*d**2 + 0*d**5 - 2\/15*d**6. What is the third derivative of z(b) wrt b?\nAnswer: -96*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14\/43 - 214\/129. Let w = 12 + -38\/3. Put w, j, -0.4 in ascending order.\nAnswer: j, w, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*(2 - (-43)\/2). Let l = t + -25. Suppose d - 4*d = -6, l = 2*f + 4*d. Is 5 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(539))**2*6*1 + -2.\nAnswer: 84*sqrt(11) + 3238","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3696, 3767, 3838, 3909, 3980?\n\"Answer: 71*n + 3625","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29961*z + 234 = 30000*z for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -62, -75, -104, -155, -234, -347?\n\"Answer: -s**3 - 2*s**2 - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3985, 7973, 11981, 16015, 20081, 24185, 28333?\nAnswer: 32531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19 + -9. Let f(z) = z**3 + 10*z**2 - 2*z + 11. Let y be f(-10). Suppose 0 = -3*m - b + y. What are the prime factors of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 10*n**2 + 8*n - 20. Let k(y) = -y**3 - 1. Let q(o) = k(o) - x(o). Let b be q(-9). Let z(j) = 17*j + 21. Is z(b) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 83.6 - 71. What is f rounded to zero dps?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -2*g**2 - 3*g + 11. Let u = -21 - -16. Let a(y) = 3*y**2 + 5*y - 16. Let x(o) = u*a(o) - 7*s(o). What is x(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + w = 2, 2*n + 179*w - 183*w + 10 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 5*c**3 - 4*c**2 - c + 2. Let t be w(1). Let y be 14 + (-2)\/(-3)*-3. Solve -22 = 5*r + j, t*r - 4*j = -10 - y for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + 3*v - 3 + v + 3*v - 3*v + (1 + 2 - 5)*(-v + 0*v + 0*v) + (2 - 2 + 3)*(3*v - 2*v + 2*v) + 4*v - 6*v + v.\nAnswer: 14*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkjpk. Give prob of picking 1 p, 2 k, and 1 j.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 243 - 243 + 5*p**3 - 48*p**2 + 48*p**2 + 6*p**3 + (0 + 0 - 2*p**2)*(-p - p + p) to the form w*p**2 + o*p + g + t*p**3 and give t.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/5 or 0.2588?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.51 - 0.49. Let n = -2 - p. What is the nearest to -1\/5 in -3, -2, n?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 2*j = x - 18, 0 = -4*j. Suppose -14 = 4*f + x. Is -4 at most f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*r + 11*r + 12. Solve h + 10 = 5*s - h, -r*s + 4*h = -20 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -811700 rounded to the nearest 10000?\nAnswer: -810000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -5*z + 15, -15 = -v - 2*z - 2*z. What is the hundreds digit of (v\/((-14)\/(-21)))\/((-1)\/94)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238597575 to the power of 1\/5, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 21 - 3*n + 273*n**3 + 252*n**3 - 524*n**3 - 6*n**2. What is q(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 - -15.99934. What is v rounded to four decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x**2. Let t(m) = -121*m**2 - 67*m**2 + 0*m**2 + 45 + 45*m + 58*m**2. Let k(b) = -12*b**2 + 4*b + 4. Let n(d) = -45*k(d) + 4*t(d). Give l(n(g)).\nAnswer: -800*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 2*v + 336 = 4*i, 5*i + v = 438. Find the first derivative of 18*t**2 - 34*t**2 + 29*t**2 - i - t**4 wrt t.\nAnswer: -4*t**3 + 26*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + 20 + -10 + -1 + 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -4, -4.54?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4019103\/36129730 + -10\/39703. Find the common denominator of 41\/520 and a.\nAnswer: 3640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 4 - (-2 + 0 + 3).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9804817 millilitres in litres?\nAnswer: 0.0009804817","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + (-44)\/(-36) + (-350)\/(-126). Suppose 16 = -5*d + 4*j, r*j - 9 = -5*d + 3. Solve d = v + v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*y - 7*y + 7905. Is 17 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, 39, 21, 0, -2, 5, 18 in decreasing order.\nAnswer: 39, 22, 21, 18, 5, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2789054 is divided by 464837.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 - (-4)\/6 - 2. Let t = 3 - 6. Which is the nearest to h? (a) -0.5 (b) t (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38933663 to the power of 1\/4, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 265949 or 3457348\/13?\nAnswer: 265949","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -818.05773 to one dp.\nAnswer: -818.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1298986 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 30.54289?\nAnswer: 30.54289","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6414613 is divided by 2138200?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/1813 (b) 0.1 (c) -2 (d) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1470\/11*d + 228\/11*d**3 + 3612\/11*d**2 - 51450\/11 - 6*d**4 - 6\/11*d**5 = 0.\nAnswer: -7, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.6 + -3. Let t = a + 0.2. Let y = t - 0. Is y >= -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**11*h*h*h**(-2)\/h)**(-45)\/((h\/(h\/(h**(-1)*h)))**(-2\/11)\/((h*h**6*h*h*h)\/h**(-6))) assuming h is positive.\nAnswer: h**(-434)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -47*f**2 + 140*f + 4. Let y be j(3). Solve -3*s = 2*v - 4, 3*s + 3*v = 4 - y for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -754*p**4 + 80*p**2.\nAnswer: -18096*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of -763*p**6\/120 - p**5\/30 + 157*p**4\/24 + p**3\/3 + 2*p**2 + 145*p. Find the second derivative of h(j) wrt j.\nAnswer: -4578*j - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64 = 4*c - 52 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c - 4. Let p = -333 + 330. Let d(s) = 1. Determine p*d(z) - v(z).\nAnswer: -2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -23716, -47616, -71584, -95620?\n\"Answer: -34*l**2 - 23798*l + 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 4*q + 2*k, 4*k - 3650 + 3654 = -2*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 103 - 1337\/13. What is the nearest to -1\/4 in 1\/3, r, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z = 7*z - 3. Suppose -3*y - z*h + 12 = 0, -2*y + 0*h + 2*h = -4. Suppose 0 = 4*x - y*x - 6. Solve -c = -4*l - 0*c + 2, -3*c = -x for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - 3*f - 1855, -2314 = 5*l - 0*f - f. Let i = l - -1188. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 1:54 AM?\nAnswer: 4:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 185?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -120 - 26*h + 120 - 55 - 122 - 120. Calculate y(-11).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-76*b - 59*b + 66*b)*(-2 - 3 + 2) + 3*b - b + 4*b)*(4 - 4 - 2).\nAnswer: -426*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*l + 2*l - 9*l)*(-1 - 5*l + 1).\nAnswer: -40*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1117028 divided by 11?\nAnswer: 101548","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 146*s - 146*s - 1456286*s**3 + 1456291*s**3.\nAnswer: 5*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*((-64)\/20)\/(37\/(-74)).\nAnswer: -32\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 + 4*c + 2. Let r be y(-2). Let t be (-25)\/10 + 1\/r. What is the units digit of (-10)\/t + 2\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1318, -1\/38, 16?\nAnswer: -1318","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8007955 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 62*f**2 + 75*f**2 - 56*f**2 + 70*f**4 wrt f?\nAnswer: 1680*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 462 and 21637.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 375*n - 439. List the prime factors of y(27).\nAnswer: 2, 29, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -7\/27245076 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 3*b**2 + 2 - 2*b**2 + 2*b**2 - 2*b**2 - 4*b. What is r(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 5*i + 24. What is d(4)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 - 30*h - 171. Calculate b(-18).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -69459688.7 rounded to the nearest one million?\nAnswer: -69000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2 - 1 + 2)*(-1 + 2*t + 1) - t + t - t)*(8*t - 7*t + 13*t) in the form u + p*t + q*t**2 and give q.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 564 = -2*r. Suppose j - 56 = -c - 0*j, 5*j + r = 4*c. Calculate the highest common factor of 26 and c.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s - 1. Let m be j(-5). Let g(i) = -2*i - 6. Let h be g(m). What is the greatest common divisor of h and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102 (base 3) to base 14.\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 200 = -80. Let j be (4\/(-5))\/(12\/d). Is j less than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*y**4 - 2 + y**3 - 2*y**2 - 2 + 1 - y in the form d*y**4 + j*y**3 + b*y + a*y**2 + k and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/23 or -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 113 + -172. Let y = u - -70. What is the remainder when 41 is divided by y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g**3 - g**2 - 18*g + 43. Calculate the remainder when i(5) is divided by 45.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -56.5401 - -46\nAnswer: -10.5401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -19247239 at most as big as 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -18b939 (base 12) in base 4?\nAnswer: -1222031331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92820.\nAnswer: 2, 3, 5, 7, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 390\/(-2925) + (1221\/720 - 1)?\nAnswer: 9\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7159 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a58 + -25?\nAnswer: a33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 702, -1, 61, -4, 1, 5 in descending order.\nAnswer: 702, 61, 5, 1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/114312 and 1\/18186?\nAnswer: 800184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39496?\nAnswer: 2, 4937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -1.1. Let r = -43.78 + 39.78. What is the nearest to 1 in d, r, 5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 317596593?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 64*q**2 - 43.\nAnswer: 128*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28 by -19.\nAnswer: -28\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -340 times 0.6914?\nAnswer: -235.076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = -3*j - 55, -20 + 94 = 6*y + 4*j for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 39144?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-83 + 224\/4)*(-2)\/(-12)?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 874256226 to the nearest integer?\nAnswer: 29568","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5323, -6, -3, -2, -14 in decreasing order.\nAnswer: -2, -3, -6, -14, -5323","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2299) - (sqrt(2299)*-1 + sqrt(2299) + -5))**2 + -1.\nAnswer: 110*sqrt(19) + 2323","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/16 - (-31)\/8. Solve k*y = 5*m - 27, 3*y - 4*y = m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 5 = j. Suppose 20 = -j*v + v, a - 5*v = 28. Suppose -12 = 2*p - 5*p - a*m, -5 = -3*p + 4*m. Solve -p*t = -3 - 3 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -44? (a) -59 (b) 0 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 691 a factor of 387591574?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-30 - 9 + 2)*(2*m**2 - 3*m**2 - m**2) - 2*m**2 - m**2 + m**2 + 3*m**2 - m**2 - 4*m**2 to a*m**2 + p*m + z and give a.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4794, 9008, 16028, 25854?\n\"Answer: 1403*f**2 + 5*f + 3386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xgmmxmnixmggfii. What is prob of sequence gx?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 40\/(40\/220*-11)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/517 and -13\/141069748.\nAnswer: 1551767228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -15012 (base 7) to base 6\nAnswer: -31033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25928, -51604, -77280?\nAnswer: -102956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3071 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 - a + 2. Let r be m(0). Let f be r\/8 - 30\/(-8). Solve 3*u - 2*j + 3*j = 9, -15 = -5*u + f*j for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-95)\/304*4)\/(1620\/8).\nAnswer: -1\/162","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8485714030?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -578, -1155, -1732, -2309?\n\"Answer: -577*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (33\/((-18018)\/(-52)))\/(5\/(35\/3))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -26 (b) -442 (c) -3 (d) -1 (e) -0.6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13 * -2.046.\nAnswer: -26.598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 + 4*b**2 + 5*b + 2. Let y be k(-2). Let l(r) be the first derivative of 7\/2*r**2 + y*r + 9. Let p(t) = -3*t. Give l(p(n)).\nAnswer: -21*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 3159 = -12*f. Let k be (-1 - -3)\/(18\/f). Let y = 50 + k. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 133189978.\nAnswer: 2, 66594989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -13*f**3 - 9*f**2 + 38*f - 22. Determine s(3).\nAnswer: -340","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -130600 divided by 4499.\nAnswer: -130600\/4499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1106 is divided by 366?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a gram in milligrams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -5*t + 231, -4*w + 102 = 2*t - 0*w. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 6 = 16. Suppose -z = 2*w - j, -1 + 0 = w - j. Let v(d) = -4*d**2 + 3. Let k(i) = 5*i**2 - 4. Give w*v(t) - 3*k(t).\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -36, -20, 10, 60, 136, 244?\n\"Answer: q**3 + q**2 + 6*q - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*k - k. Suppose -1 = k*z - 3*j, -5*j - 9 = 2*z - 0*z. What are the prime factors of (0\/z + 1)*24?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -7*q + 14*q - 4*q. Let y(v) = 5*v**2. Give s(y(o)).\nAnswer: 15*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/(-28))\/(-4*(-40)\/384)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -8. Find the third derivative of -2*d**2 + 15*d**2 - 3*d**2 + d**f + 3*d**5 wrt d.\nAnswer: 240*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4.4433167 and 24877.\nAnswer: 24881.4433167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*o**2*w**2 + 117*o**2*w + 46*o*w**2 wrt o.\nAnswer: -4*w**2 + 234*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**4\/4 + 420271*s**3\/4 + 44157138495*s**2\/4 + 44156718225*s\/4.\nAnswer: s*(s + 1)*(s + 210135)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 12:06 PM?\nAnswer: 3:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -278350, -278371, -278392, -278413, -278434?\n\"Answer: -21*a - 278329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 2*h = 34, 2*h - 30 = -3*v - v. Suppose 149 - 429 = v*b. Let j = b + 83. Is j a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 - 8*m**2 + 2*m + 29. What is l(-8)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 92.6? (a) -4 (b) -1 (c) -2 (d) 1.7 (e) -2\/23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 214?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 + 5*a - 1. Give d(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -57809559*p**2 - p - 35092916.\nAnswer: -115619118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are 743\/69 and 10 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*l + 10*l + 43*l - 13*l - 19*l.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 4:23 PM?\nAnswer: 11:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 - 35*m + 484. Is k(19) a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -38*x - 21*x + 14*x + 4 - x - 4 + (0 + x + 0)*(0 + 3 - 5) + 0*x + x - 2*x + x + 12*x + 8*x.\nAnswer: -28*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*h**3*t + 14*h**3 - 6696*h*t - 46792*t - 1 wrt h.\nAnswer: 6*h**2*t + 42*h**2 - 6696*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -15 (b) 2\/251 (c) -0.42\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 64 - 76. Let l = 1 - m. Which is bigger: -5\/2 or l?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2506059531?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133)*-4*5)\/(sqrt(7) + (sqrt(847) - sqrt(847)*4)))**2*-4.\nAnswer: -475\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 122495 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/8 and -19\/149194.\nAnswer: 596776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 52186, 48518, 44846, 41170, 37490, 33806, 30118?\n\"Answer: -2*o**2 - 3662*o + 55850","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y - 7. Let v be k(4). Let h be v - -1*(-6)\/(-2). Find the first derivative of -3*c - 5 + 0*c + h*c + 9 wrt c.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 + 6*o + 4. Suppose 4*f = 4*d - 12, 0 = -0*d - 2*d + 4*f. List the prime factors of r(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001191 rounded to 4 dps?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 612107 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1333278?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.3 from -92.\nAnswer: -93.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5149 + -1 + (-15 - -14) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119982 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1218170689 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000101001 (base 3) to base 5.\nAnswer: -1114304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 smaller than 428\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 22 = 2*s, 40*m - 37*m = 3*s + 30. Solve -15*x = m*x + 22 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 57\/20, -0.576, 10?\nAnswer: 57\/20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -94247391 * 1.\nAnswer: -94247391","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 g when three letters picked without replacement from {y: 3, g: 15}?\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/837 and -133\/558.\nAnswer: 1674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**4 - 993492*g**3 + 11922012*g**2 - 35766144*g = 0. What is g?\nAnswer: -993504, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 + j**2 + 2*j + 1. Let i(r) = 56*r**4 - 2*r**3 - 2*r**2 - 6*r - 25. Let f(u) = i(u) + 2*m(u). Find the second derivative of f(q) wrt q.\nAnswer: 672*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 855860.\nAnswer: 2, 5, 42793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 4*t)*(2*t + 176*t**2 - 170*t**2 - 245*t**2).\nAnswer: 956*t**3 - 8*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 76741507 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**5\/2 + 53*l**4\/2 + 547*l**3\/2 - 8809*l**2\/2 - 46552*l + 389344.\nAnswer: (l - 8)**2*(l + 23)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {u: 8, c: 1, p: 10}?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 771668?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 5*q. Let x(s) be the first derivative of -3*s**2 - 11. Calculate x(l(c)).\nAnswer: -30*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of -z**4\/28 - 5*z**3\/7 - 75*z**2\/14 - 125*z\/7 - 27. Factor o(s).\nAnswer: -(s + 5)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50424000 rounded to the nearest 100000?\nAnswer: 50400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dlxlxlxdlldldnn. What is prob of sequence nnx?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-9 + (6 - -4) - -7) - -14 - -135.\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -158\/17 greater than -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 - -16. Let w(g) = g**2 + 4*g + 6. Let u be w(-4). Suppose 4*n + u = 22, d - 19 = -2*n. What is the smallest common multiple of d and c?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 148 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129355 is divided by 44?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2220138894 to the power of 1\/6, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -31332400 - -4?\nAnswer: -31332341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 2*g + 2 = 0, 3*v - 2*g = -5*g. Suppose -9 = -5*w + v*w. Put 5, w, -2\/13 in descending order.\nAnswer: 5, w, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of -c**3\/3 + c**2\/2 - 4*c + 1. Let v(a) = -7*a + 59. Let q be v(8). What is t(q)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 34330311 - 2?\nAnswer: 34330304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = 2*c - 28, -3*c + 4*s - 1760 + 3502 = 1730 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 + 111*v**2 - 94*v + 100. Give n(110).\nAnswer: 1860","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**11)\/((k\/k**(-12))\/k))\/(k**(-1\/3)\/k**(-17)) assuming k is positive.\nAnswer: k**(-50\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7528, 14849, 22238, 29695, 37220, 44813?\nAnswer: 52474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 441787 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 6 = -8*k + 3*k, 4*k + 2*l = 6 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -232.3 + 231.7. Let f = -0.03 - -2.03. Which is the second biggest value? (a) -3 (b) f (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 562.802 + -562. What is w rounded to one decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*f**2 - 2*f**2 - 39 + 11.\nAnswer: 3*f**2 - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-225)*20\/4.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 214001+-1055171\nAnswer: -841170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2884853 (base 9) to base 12.\nAnswer: 648b26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/2 - 4965897*g - 24660133014609\/2.\nAnswer: -(g + 4965897)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d7 + e?\nAnswer: e5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/3)\/(-1 + (-15)\/(-21)). Suppose o + 3 = -10*v. Let m be (-4 - -8)*2\/(-4). Which is the third smallest value? (a) m (b) -0.5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*m + 4 = 27*m + 2*o, o = -2*m - 8. Put m, 2, -119 in descending order.\nAnswer: 2, m, -119","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18840635, -75362527, -169565677, -301450085, -471015751?\nAnswer: -678262675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**4 + 2*l**4 + 0*l**4 + (-2*l + 6*l - 2*l)*(-35*l**3 - 42*l**3 + 90*l**3) - 2*l**4 + l**4 - l**4 - 3*l**3 - 3*l**4 + 3*l**3.\nAnswer: 25*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -4*v + 23. Let y(p) = -63*p + 387. Let w be y(6). What is t(w)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -278 = -5*i + 352. Suppose 4*q + 86 - i = 0. Solve 0 = -4*l + q*l - 30 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 7, -17 in decreasing order.\nAnswer: 7, 0, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*z + 3*n + 13 = -15*z, -26 = 3*z + 4*n for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -436134, -436135, -436136, -436137?\nAnswer: -436138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -84ac (base 13) to base 10\nAnswer: -18394","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -n - 3*v, 19*v - 16*v + 22 = 4*n. Let k(r) be the second derivative of 0*r**2 - 1\/4*r**n + r**3 + 0 - 4*r. Factor k(j).\nAnswer: -3*j*(j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c - 5. Let u be y(-7). Let k = 1783 - 1779. Solve 4*t = u*n + 8*t, 2*n = k*t - 8 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98.75082kg to micrograms.\nAnswer: 98750820000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -20\/27261 and -67\/2808?\nAnswer: 654264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -210 divided by 7.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -210.9065055 to the nearest integer.\nAnswer: -211","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -2*c + 4. Let s(x) = 6*x - 1. Let k(w) = 17*w - 4. Let d(o) = 4*k(o) - 11*s(o). What is 3*d(m) + 4*h(m)?\nAnswer: -2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-1*(1 + (sqrt(153) + sqrt(153)*-1)*3 + 4)*6)**2 + 1.\nAnswer: 22501","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 4*p + 9*g + 5, 3*p - 5*g = 5. Let n(x) be the third derivative of p + 0*x + 3*x**2 + 0*x**3 + 1\/12*x**4. Let k(l) = l**2. What is k(n(i))?\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + f = -i + 20, -32 = -2*i + 2*f. Let h(g) = -g**3 + 17*g**2 + 17*g + 20. Let v be h(i). Suppose -y = -v + 9. Is y smaller than -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r = 199 + 65. Let n be 9\/24 - (-5271)\/r. Find the common denominator of 99\/8 and (n\/72)\/((-2)\/(-6)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3681439 is divided by 380?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence npqn when four letters picked without replacement from npqnnnpqn?\nAnswer: 5\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, -27, -37, -51, -69?\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -8\/9, 2\/5, 5 in increasing order.\nAnswer: -8\/9, 2\/5, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 AM and 12:07 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2712 - 50*r + 50*r - 2*r**2 + 540 to the form k*r + a + y*r**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 47762881?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1\/4*q**2 - 9\/2 + 17\/4*q = 0. What is q?\nAnswer: -18, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00511657 to 2 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.75 - -1.8. Let i = v - -1.47. Let l = i + 1.75. Round l to one decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-24 - -22) + -11 + 236. Calculate the highest common divisor of 4683 and t.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, c: 1, p: 4}. What is prob of picking 2 s?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -4*g + 3. Let s be v(5). Let w(c) = 15*c**3 - 3*c**2 - 3*c + 3. Let h(x) = 5*x**3 - x**2 - x + 1. Let a(j) = s*h(j) + 6*w(j). Calculate a(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10599563 less than -176676?\nAnswer: -10776239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-y + y + y)*(2*y + 2*y - 3*y) - 3*y + 3*y + 14*y**2)*(-1 - 5 + 5) in the form k*y**2 + g*y + q and give k.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000166535818 rounded to 5 dps?\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 46317936 a multiple of 987?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 29691 a multiple of 87?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 11513250 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 15 + 12 - 11*k**2 + 18*k - k**3 - 2. Let z be y(-11). Let d = 273 + z. Is d a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 490225271?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 9) in base 11?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k + 0*k + 10*k**2 + 5*k**2. Let f = -3 - -4. Let r be o(f). Solve 5*g - 3 = b + 5, 0 = -3*b + 5*g - r for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 63526 (b) -0.4 (c) 0.2 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (-37 + -40 - -30).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4674?\nAnswer: 2, 3, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((a\/(a**(-6\/7)*a))\/a*a)\/a**(-6))\/(a**4)**(-2\/11))**(1\/5))**(6\/7) assuming a is positive.\nAnswer: a**(3504\/2695)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -t + 7*t + 8*t - 3*t as a + z*t and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000083212588 to 7 dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 3*b + 3. Let u be m(-8). Let a = -16 - u. Calculate the greatest common factor of a and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((3 + -3)\/36)\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 22194 = 2*o, 16*o - 44380 = -4*w + 20*o. What are the prime factors of w?\nAnswer: 2, 19, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 559 divided by -13\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence htg when three letters picked without replacement from ghhghgttgtgthtttgttt.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/1106 and -52\/35.\nAnswer: 5530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -492.454 to 0 dps.\nAnswer: -492","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4252822?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 3*u. Let a(g) = 2*g. Let b(o) = 5*a(o) - 3*d(o). Let y = 129 + -46. Let k(n) = -41 - 42 + y + 2*n. Determine b(k(h)).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tdtt. Give prob of picking 1 d and 2 t.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/4 and 31\/1664?\nAnswer: 1664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1083 and 4358714.\nAnswer: 13076142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 187177*z**2 - 46779*z**2 - 46784*z**2 - 46782*z**2 - 46780*z**2.\nAnswer: 52*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 2*y = -f - 1, -f + 4 = 0. Suppose 3*p = -5*v + 59, -2*p + 3*p = y*v + 53. Suppose 7*t - p = 3*t. Is 7 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4111 + -4112. Sort -4, 5, g, 2, 176 in descending order.\nAnswer: 176, 5, 2, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 87153942 by 6.\nAnswer: 14525657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 2) to base 15.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 23180356 to the power of 1\/2, to the nearest integer?\nAnswer: 4815","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10538*t**2 + 24727.\nAnswer: -21076*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11638?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 288 and 14592.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/5*60\/(-24). Put -25, f, -2, 0 in ascending order.\nAnswer: -25, -2, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/9 (b) 16 (c) 0.72 (d) -0.9 (e) -2 (f) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + 0. Suppose 3*a + 4 = -a + 4*j, 2*a = -j - 2. What is the closest to a in -0.1, l, 1\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of -1\/42*f**4 + 0 + 0*f**3 - 1\/210*f**5 + 3*f**2 + 0*f. Factor n(m).\nAnswer: -2*m*(m + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -2693.\nAnswer: 3\/2693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 3*p - 136 = -q, -4*q - 3*p = -107. List the prime factors of q.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2414746 (base 8) to base 13\nAnswer: -1a2414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**1*p)*p)**(-1\/13)\/(p**(1\/6)*p\/(p*p**(-1\/3))) assuming p is positive.\nAnswer: 1\/sqrt(p)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -207*b**2 - 46*b**2 - 48*b**2.\nAnswer: -301*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1337527 is divided by 445814.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1532*o + 1531*o - 44*o**2 - 3063*o.\nAnswer: -44*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 82 - 40. Suppose -y + w = -d, d - 6*d + 240 = 5*y. Let s = y - 31. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 55 = 4*d, 0 = 5*d + 5*u - 46 + 121. Let j = d + 5. Which is the third biggest value? (a) -0.2 (b) 1 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5236 and 1680008.\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 64523847?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 443342?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9*(-4)\/(-150))\/((-12)\/(-150)*5).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 275 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5\/(-2)*(-2 + -631988). Suppose 2*a = -2*n + 5*n + 1580015, -2*a - 5*n = -b. What is a rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (8\/6)\/((-4)\/(-12)). Let g be 1 - (-2 - -3) - -5. Solve t*s = -s - g for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8.16106 - 8.17. Round h to 3 decimal places.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18554.784414 + -1884\nAnswer: 16670.784414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8695 and 20350?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -7 - 2*o - 11 + 9. Calculate d(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 444 + 36. Suppose h = 6*h - l. Suppose 0 = -4*z + 308 - h. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 389*a**2. Let g(b) = 16*b. Give i(g(w)).\nAnswer: 99584*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 17145716 to the power of 1\/2, to the nearest integer?\nAnswer: 4141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*o - 193 + 193 - 7*o.\nAnswer: -15*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (173 - 77) + -78 - (68 + 0).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6206?\nAnswer: 2, 29, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*l - 280 + 90 = 0. Let u(w) be the first derivative of 2*w**3\/3 - 2*w**2 - 17*w + 1. Let a be u(l). Solve -2 = -i + 2*c, 5*i - c + a = i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(34)*-2)\/sqrt(2)*-6)**2 + sqrt(119)\/(sqrt(700)*-2).\nAnswer: -sqrt(17)\/20 + 2448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -671.543 to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 29553 (b) 5 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of 26005*k**3 - 7*k**2\/2 + 16. Let t be g(5). Suppose 949660 = l - t. Round l to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 264 is divided by 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/7 in -0.1, -1\/2, 0.5, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -31*b - 2916. Give f(-71).\nAnswer: -715","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 8*l**2 + 8*l + 8. Calculate j(-3).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(5) + -1) + sqrt(245) + 1)**2.\nAnswer: 30*sqrt(5) + 70","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3478100 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -12, 4*v = 3*z - 6*z + 7. What is the closest to 0.2 in -0.9, -1, v?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -476312 rounded to the nearest 1000?\nAnswer: -476000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-512)\/(-640) + (-21)\/70)*-104\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - 11001111011101010?\nAnswer: -11001111011101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -94 - -90. Let f(o) = -115*o + 56*o**2 - 28*o**2 + 112*o - 29*o**2 + 2. What is f(s)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 388 * -3637.8.\nAnswer: -1411466.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*y**4 - y**4 + y**4 + (-2*y**3 - 2*y**2 + 2*y**2)*(0*y + y + y) + y**4 - 3*y + 3*y.\nAnswer: -6*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + -111111001100?\nAnswer: -111111001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.05, -4, 30323?\nAnswer: 30323","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 4 = 5*r + c, -1 = 3*r - 2*c. Calculate the least common multiple of ((540\/(-9))\/3)\/(r*2) and 7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27 - 15. Let n = -438 - -449.972. Let r = c - n. Round r to 2 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -2*w + 9. Let g(c) = -c**2 + 8*c + 6. Let j be g(9). Let t be p(j). Let q = t + -13. Solve 0 = q*r + 3*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 2712312123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 16, 10, 0, -0.4, -17, -0.3, 357?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11259 - 11024. Calculate the remainder when r is divided by 29.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -329*n + 70191 = 1798*n for n.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80) + sqrt(5))**2 + sqrt(5) + -5 + -4 + 5 - (sqrt(960)*1)\/((sqrt(162) - sqrt(18))\/sqrt(6)).\nAnswer: -3*sqrt(5) + 121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18*(15\/(-18))\/(40\/72*-3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7242 divided by -4\nAnswer: -3621\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22890754 to the nearest integer?\nAnswer: 4784","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -742*n**3 - 553*n**3 - 3*n**2 + 3*n**2 + 1290*n**3.\nAnswer: -5*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 + 18*o - 4817. Calculate y(61).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**2 - 188904*z + 1322524.\nAnswer: -4*(z - 7)*(z + 47233)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1809.772042 plus 0?\nAnswer: -1809.772042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 152 a factor of 3248489736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s**2 + s**2 - s**2 + (0*s - 2*s - s)*(4*s + s - 2*s).\nAnswer: -11*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -223 - 10441211?\nAnswer: -10441434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 at most 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 38 and -0.0706?\nAnswer: 38.0706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 + 3 = -13*y. Let v be 0 + (1049 - (1 + 3 + y)). Suppose -3*x + v = -503. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-15)\/(-18) - 254814\/(-36) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*b**2*g*q**2 - b**2*g + b**2*q + 3*b**2 + 14*g*q - 20*q**2 wrt g?\nAnswer: 2*b**2*q**2 - b**2 + 14*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10*(-21)\/(-18))\/(289\/867).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2010578?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(3*(-7)\/(-21))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 142 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffwfwff. Give prob of sequence wwff.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express k + 3*k**2 + 3*k**2 + 3*k**4 - k**4 - k**3 + 5 + 3*k**3 - 4*k**2 in the form l*k**2 + q*k + y*k**3 + r + i*k**4 and give r.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 2*i**2 - i + 1. Suppose -2*s - 5*c = -93 + 90, 0 = -s - 8*c + 7. Let d(u) = -1. What is s*g(y) + d(y)?\nAnswer: -2*y**2 + y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 539503956?\nAnswer: 2, 3, 37, 79, 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24839 is divided by 273?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41911 - 1176833031.\nAnswer: -1176791120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -324 + -2233143221?\nAnswer: -2233144100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*o - o - o - o + 2*o - 3*o + (-3*o - 4*o + 0*o)*(-2 + 1 - 1))*(0 - 1 + 0).\nAnswer: -15*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -292036760 to the nearest 1000000.\nAnswer: -292000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -h - 3*c - c, -8 = h - 2*c. Let v(g) be the third derivative of 0 - 1\/6*g**3 + 0*g + 1\/8*g**4 + 3*g**h. Differentiate v(m) with respect to m.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqzqqqqqz. Give prob of sequence qqzz.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zetj when four letters picked without replacement from jtejetjttazettzjajtt?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 PM and 5:49 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 691631.\nAnswer: 4\/691631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2e838 (base 16) in base 8?\nAnswer: 564070","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**3)**11\/((((n*n**9*n)\/n)\/n)\/n)**(-13\/7) assuming n is positive.\nAnswer: n**(-50\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**3 - 4*v**3 + 2*v**3)*(-7 + 2 - 1) + 6*v**2 + 17*v - 2*v**3 - 17*v.\nAnswer: 10*v**3 + 6*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2497 and 13166.\nAnswer: 144826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 + f**2 + 4. Let b = 62 - 48. Suppose 4*t + 89 = 5*i + 19, -i + t + b = 0. What is the remainder when i is divided by y(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/35210 and -43\/63378.\nAnswer: 316890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*i - 13*i - 5*h - 34988 = 0, 3*i - 2*h - 105068 = 0. What is the thousands digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of a**3*p**2 - 9*a**3 + 12*a*p**2 + 4*p**2 wrt a.\nAnswer: 6*a*p**2 - 54*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t**5 - t**5 + 12*t**5 + (15 - 15 - 4*t)*(0*t**2 + 0*t**2 - 2*t**2)*(-2 + 2 - t**2).\nAnswer: 3*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 3*g - 2. Let c be s(1). Let w be c*8*(-4)\/(-4). Suppose w*h = 3*h + 15. Solve -5*r = -2*i + 10, -h*i + 2 = r + 4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 295414571 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 4*p + 0*p + 105 - 100. Let s(o) = 3*o + 8. Let b(y) = 6*f(y) - 4*s(y). Let t(a) = -a - 5. Let u be t(-7). What is b(u)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 170 a factor of 66162640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -139062.5725 to the nearest integer.\nAnswer: -139063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tmtm when four letters picked without replacement from {t: 4, v: 7, m: 2}?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -22311.44 rounded to the nearest ten?\nAnswer: -22310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 675*k**2 + 33085*k + 490.\nAnswer: 5*(k + 49)*(135*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 5*k + 42. Let m be v(-8). Suppose -2*n = m*r - 38, -8*r = -12*r + 2*n + 106. What is the least common multiple of 21 and r?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2975 and 105.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 20\/(-8)*2*-1. Let x be 235\/4 + b\/20. Let h = -67 + x. What is the third biggest value in -4, -2, h, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-1*(sqrt(468) + -1))**2 - (sqrt(104) + -1*sqrt(104))\/(sqrt(8)*-2).\nAnswer: -12*sqrt(13) + 468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -2. Let j = -1.9956 + -0.0344. Let o = j + 0.03. What is the closest to -0.1 in 0, o, u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 - 9*u + 10. Let g(l) = -2*l**2 - 5*l + 6. Let j be g(-6). Let o = 26 + j. Let y be q(o). Which is greater: y or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3668 is divided by 1829?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.65 - -0.65. Let n = -0.2 - -0.24. Let h = 2.04 - n. Which is the second smallest value? (a) -0.5 (b) h (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 5 - ((3 - 0) + -5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -31.123 (c) -65\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -5078602.\nAnswer: 1\/2539301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(288) - sqrt(288)*-5)**2 + sqrt(288) - -5*(sqrt(2) + -1)) + -2.\nAnswer: 17*sqrt(2) + 10361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2*h + 37. Let z(a) = -77*a + 475*a - 423*a. Determine z(p(x)).\nAnswer: -50*x - 925","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 141*d**3 - 261*d**2 wrt d?\nAnswer: 846","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 18668335?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32 - 31. What is the nearest to g in 4, 5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*l - 19 + 4 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09 - -1882481075?\nAnswer: 1882481074.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 186368\nAnswer: -3\/186368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 379457.3 centuries to millennia.\nAnswer: 37945.73","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2274.341 years to decades.\nAnswer: 227.4341","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11963, -11851, -11673, -11435, -11143?\nAnswer: -10803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 + 4*d - 3. Let r be u(4). Let f(m) = -2*m**3 - m**2 - 2. Does 22 divide f(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 39 - 5. Let q = b + -33.978. Let l = q + 0.978. What is the second smallest value in -0.5, l, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/((m\/(m*m**11))\/m)*m\/(m*m**(-1\/7)*m)*(m*m**(-7\/5))\/((m\/(m\/(m*((m*m**(-7\/3))\/m)\/m*m*m*m*m)*m*m))\/m) assuming m is positive.\nAnswer: m**(1373\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 246 is divided by 66.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -43*q + 97*q - 53*q - 8 - 4 - 5. Let c(g) = 3*g**2 - 14*g + 9. Let l be c(5). Calculate b(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 - -18. Suppose 4*i = a + 49. Suppose -15 = 5*p, 5*j - p + 3*p = i. Solve 0 = -g - j*g - 20 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44\/198 - 316\/18\nAnswer: -52\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**8\/a**8*(a\/(a\/a**(-1\/2)))**(-4\/9)*(a\/(a\/a**6)*(a*a\/a**(1\/2))\/a)\/((a*a*a**(-4))\/a**(-5)) assuming a is positive.\nAnswer: a**(67\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14716223 to the nearest integer?\nAnswer: 3836","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 253*y**4 - 252*y**4 - 50*y**2 + 16*y**2 + 2*y + 226*y**2 to j + d*y**3 + g*y**4 + o*y**2 + b*y and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20311 - 212203?\nAnswer: -233120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2\/15, 0.2, -1\/5, -1 in descending order.\nAnswer: 3, 0.2, -2\/15, -1\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.2 + -2. Let v = -0.3 + h. Sort -0.5, v, -1 in ascending order.\nAnswer: -1, -0.5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 - -9. Let h = -7 - -5. Let j = h - -2.1. Which is smaller: m or j?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3*44\/12)\/1. Suppose 9*d - t*d = 18. Which is smaller: d or -8?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 4:01 PM?\nAnswer: 4:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together -615 and 2373.\nAnswer: 1758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i**2 + 65*i + 394. Let p be j(-8). Solve 7*y - p*y = 25, 2*l = 2*y - 6 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -5*l + 43. Let p be t(10). Let k(d) = 7 - 4 - d**2 - 3 - 6*d - 3. What is k(p)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54756 = -2*y + 2*n, 743*y - 2*n = 744*y - 27396. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*t**3 + 22 - 4 + 40*t**3 + 3*t**2 - 22*t**3 as k*t**2 + u*t + q + n*t**3 and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(198) + -2*(sqrt(198) - (sqrt(198)*-1 - sqrt(198))) + (sqrt(198)*-1*4 - sqrt(198)))\/(sqrt(22)\/(sqrt(32)*2)*2))**2 + -5.\nAnswer: 28795","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 10*d - 2. Let t be q(2). Suppose 4*f - t = 14. Does 3 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*o**2 - 6 - 6 - 3 + 4 as s + k*o**2 + c*o and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -4, -283, 403, -30, 5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -36826*w + 73641. Calculate q(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 229034496?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 87047797?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -6*x + 30. What is i(7)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 + 5*d**2 - 5*d + 4. Let b(u) = u**2 - u. Let o(w) = -a(w) + 4*b(w). Let q be o(0). Let y be -4 - (q\/(-1) + -8). Solve -3*s = -y*s - 12 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20876 and 514.\nAnswer: 5365132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(63)\/(sqrt(9) - sqrt(81)) + 4.\nAnswer: -sqrt(7)\/2 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2765 - 1079. What is the least common multiple of z and 18?\nAnswer: 5058","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5745\/4306 or 0?\nAnswer: 5745\/4306","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 59a9 - 9d?\nAnswer: 590c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -882, -677, -484, -309, -158, -37?\n\"Answer: -d**3 + 212*d - 1093","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 8*x**2 + x - 11. Let q(t) = -t**2 - 3. Let z(l) = -b(l) + 4*q(l). Give z(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28 - -42. Suppose -4*w + 82 + y = 0. Suppose w = 5*l - 1. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2514745 to the power of 1\/3, to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 17. Let q = f - -14. Suppose 0 = 3*v - q. Do v and 2\/7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*(-9)\/((-18)\/(-176)). Let o be 6*(w\/(-14))\/(45\/105). Calculate the highest common factor of 24 and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - 244c2?\nAnswer: -244c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 161934 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of -2\/7*g - 2 - 16\/21*g**3 - 8\/7*g**4 + g**2. Factor o(b).\nAnswer: -2*(b + 1)*(4*b - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/((-2)\/(27 + -1)). Let v be 6\/(-39) + 108\/l. Suppose 396189 = v*d - 391811. Round d to the nearest ten thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1772440148.\nAnswer: 2, 443110037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-12) - 94\/(-12). What is the highest common factor of 40 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8649520?\nAnswer: 2, 5, 11, 9829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1100 and 10755668.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*c - 2*c**2 - c**3 + 2*c**2 - c**2 + 0*c**2 in the form j*c + h*c**2 + i + z*c**3 and give j.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(-4)*(-8)\/9. Suppose 0*c = 2*p + 2*c, 0 = 2*p - 2*c + 16. Let m = 3 + p. Is k at most as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236.370366 rounded to 1 decimal place?\nAnswer: 236.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(245\/1400)*(28\/20)\/((-8)\/60).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -54, -198, -438, -774, -1206, -1734?\nAnswer: -2358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2994954239 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 p when four letters picked without replacement from {p: 7, e: 6}?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11794040.\nAnswer: 2, 5, 43, 6857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in 1\/389, 2\/13, -2, -1?\nAnswer: 1\/389","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 3*y**2. Let q(a) = 3481 - 1650 - 1831 - 6130*a. Calculate q(z(w)).\nAnswer: -18390*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 + ((10 - -19) + -18 - (17 + -8))?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of 3 + 6 - 18 + 10*r**2. Does 5 divide i(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 310*q**3 + 3 - 317*q**3.\nAnswer: -7*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3*1\/3*5. Let q(x) = -57*x**3 + 4*x**2 + 4*x + 5. Let p be q(l). Round p to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhah when four letters picked without replacement from {z: 1, x: 2, e: 6, a: 1, h: 8}?\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1 (b) 14 (c) 4 (d) 25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-45)\/39 - 8\/(-52). Let x(c) = 148*c - 2. Let m be x(w). Let j be m\/189 - 6\/(-27). What is the smallest value in 11\/2, -0.4, j, 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -3322\nAnswer: -1\/1661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 3*t - 67 = 5*i, 4*t = -5*i - 57. Let m be 0 - (-1)\/(-22)*(-9 - i). Which is the smallest value? (a) 4 (b) 6 (c) -3\/8 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 3*j - 1. Let x(b) = 5*b - 4. Let r(h) = h - 1. Let v(a) = -4*r(a) + x(a). Let s(u) = o(u) - 2*v(u). Determine s(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -266*r + 148 = -192*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 187*t**3 - 18664*t**3 - 28781*t**3.\nAnswer: -47258*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*h + 9828 = 29*h. Is h a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/(-36))\/((-2)\/4). Let n(m) be the third derivative of a*m**3 + m**2 + 0*m + 1\/60*m**5 + 0 + 0*m**4. What is the first derivative of n(l) wrt l?\nAnswer: 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - (0 + 14\/1 - 13)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -11082945 - -3?\nAnswer: -11082942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-2\/3)\/s*s**2*(s**(1\/5))**(-21) assuming s is positive.\nAnswer: s**(-58\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -37898594.2 to the nearest 1000000.\nAnswer: -38000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 54.047 + -54. Let i = 9141 - 100549\/11. What is the third smallest value in x, -1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - 0) + (-14 - -18). Suppose -p = i - 8. Suppose 2*r = p*r. Solve -3*y = 4*d + 19, r*d - 5*d - 3*y = 20 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14532)\/(-1616) + -9)\/(456\/(-1216))?\nAnswer: 2\/101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16217 is divided by 123?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 561 - 1699 + 570 - 100*m**2 + 566 to a*m + g*m**2 + s and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -12 and -0.249.\nAnswer: 2.988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47681 (base 9) to base 4.\nAnswer: 13302202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(2 + sqrt(1573)*-2 - (-5*-1*sqrt(1573) - sqrt(1573)))*-5)**2.\nAnswer: -165000*sqrt(13) + 35395000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 12, h: 1, p: 1, q: 5}. Give prob of sequence mhmm.\nAnswer: 55\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -3*l**2\/2 + 1769637*l\/2 - 42467832 = 0?\nAnswer: 48, 589831","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0 (b) 4 (c) 2\/77 (d) -1 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -19939a5 - -5?\nAnswer: -19939a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((8\/6)\/1)\/(23\/(-276)). Let z be 0 + -5 + 8 - o\/(-5). Which is the smallest value? (a) -3\/7 (b) 4\/9 (c) z (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/l**(-7)))\/(l\/(l**(-22)\/l))*l**(-8\/5)\/l*l**(7\/3)\/l assuming l is positive.\nAnswer: l**(-484\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (199*v**2 + 177*v**2 - 448*v**2)*(0 - 1 - 2)*(3 - 1 - 1) as t*v + q + u*v**2 and give u.\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 302.592 decades?\nAnswer: 3.02592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d**2\/3 - 61*d\/3 - 114742 = 0. What is d?\nAnswer: -557, 618","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-4*(sqrt(144)*4 + sqrt(144)))\/(-3*sqrt(8)*3) + -3.\nAnswer: -1 + 20*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.35731 + 0.4?\nAnswer: -3.95731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**3 - 1408*s**2 + 469*s.\nAnswer: s*(s - 469)*(3*s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-348)\/(-96) - 2\/(-4)) + 6\/8 and -73\/366?\nAnswer: 1464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.7 and -14?\nAnswer: -9.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5813025 is divided by 1937651?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6312830 = 20*k + 14687170. Round k to the nearest one hundred thousand.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 165*k + 320 = 133*k for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 + 27*t + 33. What is a(-10)?\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 AM and 3:21 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97*g = 73*g. Solve g*i - 4*w = -4*i + 8, 0 = -3*i - 5*w + 22 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-10) - (792\/(-55) + 8). Put -4, -3, a, 2 in increasing order.\nAnswer: -4, -3, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30221 divided by 643\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-15)\/(-5) + 0)\/(3 - 2). What is the third derivative of -6*p**3 + 2180 - 2180 - g*p**3 - 83*p**2 + 12*p**5 wrt p?\nAnswer: 720*p**2 - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -833*j - 84*j - 5055 + 5053 + 141*j to w + t*j and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 6. Let m(a) = -3*a**2 + w*a**2 + 0 + 5*a + 2. Let i be m(-5). What is the closest to 0.1 in i, -5, 4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 1 - 1)*(-4 + 2 + 4)*(2*y - 4*y + 0*y + (0*y - y + 2*y)*(4 - 4 - 2) + 2*y + 0*y + 0*y) in the form d + z*y and give z.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 0*k = -a - 14, -4*a - 3*k - 5 = 0. Let x(c) = 3*c - 11. Let o be x(5). Suppose -2 = 3*p + o. Put 6, a, p in ascending order.\nAnswer: p, a, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 6452 and 6449 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + 3. Let l(w) = -w**2 + w + 3. Let r be l(v). Let h = r - -39. Solve 2*x + h = 4 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6084?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 34 + 6 = -4*w, 4*l - 4*w - 28 = 0. Suppose 0 = l*v - 73 - 319. Let m be (-16)\/v + (-144)\/(-14). Solve 2*z + m = 2 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67966 (base 11) to base 13.\nAnswer: 359a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 15 - d6e5c5?\nAnswer: -d6e5b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - 1\/2)*(-24)\/(-12). Let l = m - -1. Let y(z) = z**2 - 8*z**3 - 1 + z - 12*z**l + 11*z**2. Give y(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 48045*s**3 - s - 9*s - 48322*s**3 - 7*s - 6*s**2 wrt s?\nAnswer: -1662","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1668751 and 220?\nAnswer: 367125220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*c - 72*c + 115*c - 1119 = -965 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 12 = -10*p. What are the prime factors of 7\/((-352)\/363 + 0 + p)?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 6*r - 3. Let u be d(2). Let p = 5345 - 5320. Solve 4*g = u*g + p for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (12 + 14 - 5)*(f**2 - 4*f**3 - f**2) in the form p*f**3 + i*f + c + m*f**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8981918 and 4972?\nAnswer: 2486","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 66165 (base 7) in base 8?\nAnswer: 40260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 5*v - 16, -2*y + 4*v + 0*v + 16 = 0. Solve 3*l = -3*s + y + 7, 4*s + 2*l - 18 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 PM and 3:39 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 - 3*v + 7. Let c be w(3). Suppose -5*k - c - 8 = 0. Sort k, 0, -2 in decreasing order.\nAnswer: 0, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 + 7. Let s(k) = k**2 + 8*k + 12. Let n be s(q). What is the third derivative of 32 - n + 51*z**5 - 7*z**5 - z**2 wrt z?\nAnswer: 2640*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 37331865?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qdvodovm. Give prob of picking 1 v and 1 m.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 + 6 = 3*f. Let n = -5958 - -5959. Calculate the lowest common multiple of f and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**3\/3 + 38*i**2\/3 - 32*i - 1920 = 0. What is i?\nAnswer: -10, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 356575 is divided by 444?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1093 is divided by 44.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -4*v**5\/5 - 772*v**4\/5 + 3976*v**3\/5 + 2992*v**2\/5 - 34656*v\/5 + 38016\/5 = 0.\nAnswer: -198, -3, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 + -6 - 36\/(-21). Which is the nearest to m? (a) -10 (b) 2\/19 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -2*f**2 - 20*f + 116. Calculate z(-14).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of -b**2 - 3\/8*b**3 - 7\/240*b**5 + 5\/32*b**4 + 0*b + 6 + 1\/480*b**6. Suppose d(u) = 0. What is u?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 471?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 894 - 794. Calculate the least common multiple of t and 90.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 10:33 PM?\nAnswer: 11:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*b + 15*b + 1. Let x = 1 - b. What is the lowest common multiple of 14 and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -5*q + 6. Let v be z(-1). Suppose 10*x = v*x - 2. Factor m**x - 2\/5 + 4\/5*m**3 - 7\/5*m.\nAnswer: (m - 1)*(m + 2)*(4*m + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4142590 rounded to the nearest one hundred thousand?\nAnswer: 4100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1845369*j**5 - 4077918*j**2 wrt j.\nAnswer: -110722140*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-6 + (-44)\/(-11))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 38 and 135579953?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -1860679?\nAnswer: -1860679","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 50*v**2 + v + 1. Calculate the smallest common multiple of h(1) and 40.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(2\/9))**(-44)*(v\/((v\/(v*v**1))\/v))**(-2\/15) assuming v is positive.\nAnswer: v**(-2438\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -2*((2 + -5*sqrt(468))*6)**2 + 1.\nAnswer: -842688 + 8640*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-8)*(-184)\/23.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.06? (a) -1 (b) 114.7 (c) -0.1 (d) -6\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -2*g**3\/5 + 18*g**2 - 624*g\/5 - 9464\/5 = 0.\nAnswer: -7, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -4, 3\/5, 16?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 - 6*y**2 + 5*y + 2. Let u be n(-5). Let a = u + 102. Calculate the greatest common factor of a and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 7. Suppose -4*v + t + 77 = 0, z*t - 64 = -3*v + 2*t. Let n be ((-16)\/2 - -20)*2\/(-8) + 147. Calculate the highest common factor of n and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q - 0*a + a + 2, 0 = -2*q - 2*a - 4. Solve q = 2*w - 4 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1048 a factor of 283280448?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -3 - 8. Let s = 17 - a. What is the smallest common multiple of 12 and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2915 and 2253825?\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-12)*(-6282)\/(-26175)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -28\/65 (b) 0.5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q**2 + 6*q**2 - q**2 + (4*q - q - q)*(34*q + 42 - 42).\nAnswer: 73*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -5*i + 9. Let z(g) = -51 - 7*g - g**3 + 20 - 6*g**i + 27. Calculate z(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of t**9\/2016 - t**8\/280 + 3*t**7\/560 - t**3\/3 + 17*t**2\/2 + 106*t. Let u(q) be the second derivative of i(q). Factor u(a).\nAnswer: 3*a**3*(a - 3)*(a - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/99612992 and 13\/62258120.\nAnswer: 498064960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = w + 28, w + 0*v = -5*v - 32. Does 8 divide 12\/(-3) - (w + 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 54*p - 18. Let m(g) = -g. Let a(d) = -3*m(d) + n(d). Let l = 198 - 195. What are the prime factors of a(l)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + -106364?\nAnswer: -106365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5567455781 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 453 - 611 = -2*x, 5*g = -20. Round x to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5 (b) 3404 (c) -57 (d) -0.2 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2*0.75\nAnswer: -1.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 432 and 270.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 + 15. Let i = l + -4. Suppose -8 = 4*y, i = -5*b - 5*y + 19 + 16. What is the remainder when 34 is divided by b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.029 - 0.165223\nAnswer: -0.194223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 2 b when four letters picked without replacement from rrbbtbb?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29724, 44394, 59064?\nAnswer: 73734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 801990233 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-1))\/3*((-66)\/48)\/(-11).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1571, -100, -4.\nAnswer: -100, -4, 1571","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, y: 1, q: 2, u: 7}. Give prob of picking 1 y and 2 u.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/12 and (-59)\/(-12) - 4\/(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, 0, 4645 in decreasing order.\nAnswer: 4645, 5, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 112*j + 1570*j - 27692 = 0, 0*u - j - 38 = -5*u + 5*u - 3*j for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 1584*w - 3192. What is the tens digit of n(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 544279 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = -3*t - 1, 8*t = -2*z + 4*t + 8 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 504835533?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00849 rounded to four dps?\nAnswer: 0.0085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -1178*s**3 - 91*s**2 + 177*s - 91. Let g(q) = 590*q**3 + 44*q**2 - 89*q + 42. Let y(r) = 6*b(r) + 13*g(r). Find the third derivative of y(w) wrt w.\nAnswer: 3612","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 775836.5l in millilitres?\nAnswer: 775836500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/1030 and -69\/53885.\nAnswer: 11100310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/(-4))\/(-4)*(-8)\/(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (72 - 72 + 802*u - 279*u)*(7 + 1 + 0)*(0 + 0 + 1) to w*u + c and give w.\nAnswer: 4184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1)\/((-1)\/2) + (41 - 3)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (73 - 73 - 14*v**2)*(263*v**2 - 263*v**2 - 24*v**3).\nAnswer: 336*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 + 22. Let l = 24 - h. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 - y**2 - 2*y. Let q(o) = 60*o**3 - 3*o**2 - 2*o. Determine -q(i) + w(i).\nAnswer: -59*i**3 + 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6626.\nAnswer: 2, 3313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2457 + -12329\/5. What is the common denominator of c and 109\/112?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2\/15 - 114364*d\/15 - 3418928.\nAnswer: -2*(d + 452)*(d + 56730)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 57 = -2*c, 2*i - 24 = -c + 5*i. Let f = c - 13. What are the prime factors of f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9127 - 9128. Put u, 161, 0, 3, 4 in descending order.\nAnswer: 161, 4, 3, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + 0. Let j = y + -2. Let f(m) = m - 1. Let v be f(j). Put v, 7, -4 in descending order.\nAnswer: 7, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 6844109?\nAnswer: 61596981","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 23709 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13*b**3*l**3 + 17*b**3 + 8*b**2*l**3 + 39*b**2 wrt l.\nAnswer: -39*b**3*l**2 + 24*b**2*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 91*h**3 - 23*h + 5448 wrt h?\nAnswer: 273*h**2 - 23","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seven halves of a week?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*w + 2823 = 465. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 842206 and 0.4.\nAnswer: 842206.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -28*j**3 + 16*j**2. Let n(p) = 9*p**3 - 5*p**2. Let q(b) = -7*n(b) - 2*x(b). Find the third derivative of q(u) wrt u.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3068380 divided by -767095\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12049 = 471*h + 317*h + 748*h + 53999 for h.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 - 11*z**2 + 18*z + 12. Let w be a(9). Solve -6*o + 0 = -w for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p + 9*p - 298 = -2*g, -p + 605 - 1171 = -2*g - 608 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/((r*r**(1\/2))\/r)*r)\/r*r*r*r**(-4)*(r\/r**(1\/3))**21 assuming r is positive.\nAnswer: r**(25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5\/2*(1 + -3). What is the remainder when 1*-50*(t + 4) is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -37, -62, -87?\n\"Answer: -25*h - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44358.\nAnswer: 2, 3, 7393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iwcicyvvvcv. Give prob of picking 1 i and 1 w.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - 0. Let j be (h\/5)\/((-4)\/(-290)). Let y = j + 106. Calculate the greatest common divisor of y and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -27*h**5\/7 - 573*h**4\/7 + 387*h**3 + 4005*h**2\/7 + 750*h\/7 = 0. What is h?\nAnswer: -25, -1, -2\/9, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q**5 + 24845*q**4 - 30676520*q**3 - 465754800*q**2 = 0.\nAnswer: -15, 0, 2492","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 7475377+23278054\nAnswer: 30753431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 211.3 - 191. Let o = f + -20.30254. What is o rounded to 3 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(3\/7)\/u**0)\/(u\/(u**(1\/2)*u))**(-41)*((((u*u**(-8)*u*u)\/u)\/u)\/u**2)**(-1\/25) assuming u is positive.\nAnswer: u**(-6899\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 3:10 AM?\nAnswer: 1:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 times -0.11?\nAnswer: -10.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 + 8*k**2 + 3*k + 156. Determine w(10).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + (0 - (-26)\/1). Let f be 84\/9 - (-20)\/30. Calculate the greatest common factor of z and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16.266644 + -24.26678. Let d = -0.01 - -8.01. Let g = d + k. Round g to five decimal places.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v = -11*v + 16. Suppose 2*q = 5*o - 70, 0*q - v*q = 0. What is the remainder when o is divided by (-1)\/(8 + (-164)\/20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26931, -53843, -80759, -107679, -134603, -161531?\nAnswer: -188463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 271636*r**3 - 94*r**2 + 2*r - 63 wrt r?\nAnswer: 1629816","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, -4, -732, -1 in ascending order.\nAnswer: -732, -4, -2, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -258*j*o**3*y**2 - 2*j*o**2 + 2*j*o*y**2 + 11*j - 3516*o**3*y**2 - 654*o*y**2 + 22*y**2 + 3 wrt o.\nAnswer: -1548*j*y**2 - 21096*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01131112937 rounded to four dps?\nAnswer: -0.0113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(36)\/(2*sqrt(48)\/sqrt(4))*-4)**2*2.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b + -17390?\nAnswer: -17382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(-6)*(-2 - -2). Suppose -5*s + 6*s - 40 = w. Does 13 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -615 - -916. List the prime factors of t.\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2059 and -4.084.\nAnswer: -0.8408956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13.01 + -13. Round r to 2 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 49033181?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 37917*w**2 + w - 2 - 37919*w**2 - 3*w**4 - 2*w**3 in the form q*w**4 + k + o*w + s*w**2 + f*w**3 and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/4 (b) 5 (c) -1\/2 (d) 2 (e) 2\/7 (f) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 523007 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (34\/(-170))\/(-6*(-2)\/36).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11989 - 11992. What is the closest to 3 in -5, z, 48, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 4*n. Suppose 0 = 2*s - n*s + 12. Let r(w) = w**2 + 3*w + 6. Does 12 divide r(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -24006, -48101, -72280, -96549, -120914, -145381?\n\"Answer: -k**3 - 36*k**2 - 23980*k + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 421771 is divided by 105271.\nAnswer: 687","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*p**2 + 83*p**5 - 12*p - 23*p**2 + 27*p**4 - 32*p**5 - 39*p**5 + 24*p**4 = 0. What is p?\nAnswer: -4, -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 207 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1857937 is divided by 3409.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 11 + 20?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2261 divided by 5306.\nAnswer: -323\/758","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + -3. Suppose 0 = 4*p - 3*c - 7, -5*p + 10*p - 5 = 5*c. Put f, 13, p in descending order.\nAnswer: 13, p, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -79\/7 (b) 4 (c) 2\/3 (d) -1\/3 (e) -14 (f) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24826806?\nAnswer: 2, 3, 19, 229, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 110783 - 49305. List the prime factors of r.\nAnswer: 2, 59, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*d + 352 = 66*d. Solve -d*l = -11*l - 6 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 65.31 + -3.7. Let n = -62 + c. Let v = 0.49 + n. What is the nearest to v in 5, -1, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = -4*a, 0*a - 15 = 3*a for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/13304 and 127\/90.\nAnswer: 598680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/25)\/(14\/5).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34393?\nAnswer: 163, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - 4*z + 2112, -12*h + 10*h + 4*z = -1368. Calculate the remainder when h is divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 290091507?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2400.393 centuries to months.\nAnswer: 2880471.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -28, 0.3, 0.7, 3\/8?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106*l - 33*l + 19*l = 1830340. What are the prime factors of l?\nAnswer: 5, 23, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.1, -4, -7, -4\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15428 and 749360?\nAnswer: 5245520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*j**3 + 0*j**3 + 6 - 3*j + j**3 - 3*j**3 - 6*j**2 = 0. Calculate j.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1776, -1803, -1830, -1857, -1884?\nAnswer: -1911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10271929643 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96069111?\nAnswer: 3, 19, 1685423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 3*v = 0. Let h be -3 - -4 - -2 - v. Suppose -69 = -h*q - 0*q. Is q a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29632?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (1 + -1) - 2) + 5 + (-169 - -188)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 12970729.8 minutes?\nAnswer: 1286.77875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -23506*b**3 + 22*b - 11618904.\nAnswer: -70518*b**2 + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 2*g + 15 = -2*g, 5*g = -10. What is the greatest common factor of o and 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 315 + 202215?\nAnswer: 202534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 295 + 1452. What is the thousands digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 92\/45 and 97\/165.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 - 12*d**2 - 85*d + 10. Determine h(17).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 843 + -841. Solve v*z = -z + 3 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + 1000000?\nAnswer: 111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of -o**5\/20 + 40*o**2. Let l(q) = -18*q**2. What is k(l(i))?\nAnswer: -972*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 13910 = b, 73*r - 13898 = 71*r + 3*b. Does 92 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -76 * -151\nAnswer: 11476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16718?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/22*(-152)\/(-380).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 38, -29 in ascending order.\nAnswer: -29, 3, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 r when four letters picked without replacement from kkkkrkrrrrrk.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, k: 1, x: 1, w: 1}. What is prob of sequence kgxw?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -331*i - 221*i + 152*i - 725*i + 1523*i**4 wrt i?\nAnswer: 18276*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41423582?\nAnswer: 2, 20711791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 517 - 2550. Let d = v - -2039.015. Let x = -6 + d. Round x to 2 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 174?\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/4))**(11\/3)\/(l\/(l\/(l**(-2\/15)*l))*l**(-7)*l)*l**(1\/3)*l*l*l*l\/(l*l**(3\/8)*l)*l**2\/l*l**(2\/19) assuming l is positive.\nAnswer: l**(5533\/760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l**(-2\/23)\/l))\/l*l*l)\/l*l**(-6\/7)*(l\/(l**(-1\/3)*l))**(3\/2))\/(((l*l*l**(-1))\/l)**(1\/32)\/(l**(-1)*l)**43) assuming l is positive.\nAnswer: l**(557\/322)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 29 + 5. Suppose 3*w - c = 3. Is 2 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 9179, 9173, 9167, 9161, 9155?\n\"Answer: -6*y + 9185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 4*u**2 + 34*u + 10. Suppose -4*v + 41 = -5*i, 0 = -3*i - 4*v - 50 + 19. Calculate the least common multiple of 18 and z(i).\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 3*c + 51, 0 = 4*y - c - 3*c + 84. Let u(v) = -v**3 - 14*v**2 + 41*v - 17. What are the prime factors of u(y)?\nAnswer: 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u**(1\/10))*u**8)\/(u**(-9))**(-25) assuming u is positive.\nAnswer: u**(-2171\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*i - 31*i = 662 + 898 for i.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -19.505 times 0.3\nAnswer: -5.8515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 21842579 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - -6) + -5 + 1 + 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 12. Let i = l - 13. Which is the closest to 1\/3? (a) 2 (b) 3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -635712*f**4 + 2*f**2 + 389417*f + 2.\nAnswer: -15257088*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 - 6*w**2 - 3*w - 6. Suppose 0 = 5*h + 3*f + 11 + 9, -4*h + 11 = -3*f. Let u(o) = -o**3 + o**2 + o + 1. Calculate h*a(i) - 3*u(i).\nAnswer: 2*i**3 + 3*i**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5425 + 4?\nAnswer: -5421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7629741?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23 - -27. What is the least common multiple of i and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - -2. Suppose p = -y*p + 25. What is the smallest common multiple of 5 and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 169 (b) -3 (c) -2.414 (d) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Convert 21032213 (base 4) to base 14.\nAnswer: dabd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-3\/7)*t)**(2\/9) assuming t is positive.\nAnswer: t**(8\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + x = -13, 19*u - 16*u + 2*x - 34 = 0. Let h(q) = 10*q**2 - 4. Calculate the smallest common multiple of h(2) and u.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 451065188?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 150950 and 4437930.\nAnswer: 22189650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 42\/4 + (9\/(-2) - -3). Suppose -j*z + 4*z = -10. Suppose 6*v - 17 = 7. Solve -v = -z*l + 3*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**5\/u)\/u**18)\/(u**(1\/11)*(((u\/u**(-9\/4)*u)\/u*u)\/u)\/u) assuming u is positive.\nAnswer: u**(-675\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(4\/3)*h)\/h)**(-46)*h**(-26)*h\/((h**(-5\/2)\/h*h)\/h*h) assuming h is positive.\nAnswer: h**(-503\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 62 + 40 - 96*t + 96*t + t**2 - 20 as b*t**2 + o*t + y and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 52800421 to the power of 1\/3, to the nearest integer?\nAnswer: 375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.06 + -2.06. Put t, 0.06, -2\/15 in ascending order.\nAnswer: -2\/15, 0.06, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5412)\/297)\/(-82)*(-36)\/(-10)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -752, -735, -692, -611, -480?\n\"Answer: 2*d**3 + d**2 - 755","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -10*v + 1365. Determine p(138).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, -4, 3, -3, 17695, 2\/11, -11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 808\/20 + 6\/(-15). Suppose 5*p = p + q. Let a(n) = 4*n - 10. List the prime factors of a(p).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5238 + 5233. Which is the fourth biggest value? (a) 1 (b) -2 (c) z (d) -0.1 (e) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -352360.4 and -2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 61*w**3 + 9*w + 101 - 201*w**3 - 102 + w**4 to a*w**4 + z*w**3 + f + l*w**2 + c*w and give c.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 2*d - 5772, q + 4*d - d - 2880 = 0. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158989 is divided by 983?\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33 (base 8) to base 4.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 265 = -7*q. What are the prime factors of q?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11643532 - 2?\nAnswer: -11643534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 9*n + 4. Let j(a) = -5*a - 10*a - 2 + 5*a - 3. Calculate 5*j(g) + 6*y(g).\nAnswer: 4*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of g**3\/6 - 21*g**2\/2 + 41*g\/2 + 349. Factor l(u).\nAnswer: (u - 41)*(u - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3904 = -9*j + j. List the prime factors of j.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4890)\/(-1793))\/(8\/(-88)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + (6*(-1)\/(-2) - 3). Suppose -1 - c = -3*n. Is n at least 5\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.6 - -4. Let h be (-12 + (-819)\/(-66))\/(7\/((-77)\/(-6))). Which is the smallest value? (a) u (b) -2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-15 + 20)\/((-4)\/(-56)). Calculate the highest common factor of z and 190.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/(-70)*(-3024)\/(-144).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -46 + 48. Solve -6 + 0 = -m*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r = -31 - 79. Suppose 25*z - 20*z = r. Factor 307*s**z + 4*s**3 + 2*s**4 - 305*s**2 + 0*s**4.\nAnswer: 2*s**2*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - 1. Let n(h) = 3*h**2 + 2*h - 1. Let t be n(2). Suppose 3*w = t - 3. Let z(l) = l**3 + 4*l. Let b(g) = 2*g**3 + 9*g. Determine p*z(r) + w*b(r).\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -318357, -636715, -955073, -1273431, -1591789, -1910147?\n\"Answer: -318358*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 12, 1\/2, 3\/4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-4*(sqrt(2) - sqrt(8))**2 - ((sqrt(18)*-3)**2 + 0).\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and 21?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -1\/5*n**2 + 1\/5*n**3 - 2\/5*n + 0 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 16 = -2*b, 4*x + b = 26 - 14 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*d**2 + 3455*d - 3455*d.\nAnswer: 7*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/156 and -76\/9.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/82173 and 79\/392679.\nAnswer: 1536552927","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -4, 2477, -154, -3\/5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42, 83, 124, 165, 206?\nAnswer: 247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.067 in 4, -1, -2, -9, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 0*n**3 + n**3 - 7 - 2*n**3 with respect to n.\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 20 - 6. Suppose -4*q - 4*r + 108 = 0, -3*q + 2*r - o*r + 91 = 0. Let j = -326 + 339. Calculate the remainder when q is divided by j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 864731, 864448, 864165, 863882, 863599, 863316?\nAnswer: 863033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + (-1001)\/(-65) + 189\/15 + -2.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -957404 (base 12) to base 11\nAnswer: -1369a87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(6\/(-9)))\/((-42)\/(-8))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -4 + (-2 - (-5 - 3)) + 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = d - 4*d - 372, 2*m = -4*d - 482. Let l = -80 - d. Calculate the greatest common divisor of 28 and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4539 + -4425. Suppose 28 - 188 = -4*v. Calculate the remainder when t is divided by v.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**5 + 11900*v**4 + 35414398*v**3 + 70793100*v**2 + 35390601*v.\nAnswer: v*(v + 1)**2*(v + 5949)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -29 or 71036?\nAnswer: 71036","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -7055613533 rounded to the nearest one million?\nAnswer: -7056000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/4 - 3\/8*u - 1\/8*u**2.\nAnswer: -(u + 1)*(u + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 2*l - 9 = 0. Let y(d) = d**2 + 12*d - 18. Let x(i) = -2*i**2 - 36*i + 54. Let m(q) = l*x(q) + 8*y(q). Factor m(z).\nAnswer: 2*(z - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -493 - -535. Suppose 21 = 6*b - 5*b. What is the highest common factor of b and r?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*d = -27*d - 4*x - 24, -3*d - 3*x - 18 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-14)\/4 - (-4)\/8. Let q = 13 + z. Calculate the smallest common multiple of 2*(-3)\/(-12)*6 and q.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuoloudououuuuaud. What is prob of picking 1 a and 1 d?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = q - 12. Suppose -47 = q*y - 17. Which is the third smallest value? (a) -14 (b) y (c) -3\/8 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 7 - 25 = 0. Suppose y*g + 105 = 11*g. Suppose 0 = -2*o + g - 37. Let b(l) = l**3 + 7*l**2 - 8*l - 3. What is b(o)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 4650*g. Let s(n) = 5*n**2 - 3*n - 3. Let c(m) = 4*m**2 - 2*m - 2. Let p(v) = 3*c(v) - 2*s(v). Determine p(k(j)).\nAnswer: 43245000*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.258 and 79898.9.\nAnswer: -20613.9162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 33045\/7 - (20\/(-35))\/2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -45613\/25 - -1825. Which is smaller: -0.13 or d?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-60)\/3*((-39)\/(-270))\/(-13)*2907\/646?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 27*q = -29*q + 230, 462 = 2*w + 3*q. Let p = -234 + w. What is the second smallest value in p, 4, -2\/75?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-2))\/((2\/(-12))\/1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 3*o - 14. What is u(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -6564891700 to the nearest 1000000.\nAnswer: -6565000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from qziqiizitzpqqzip.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s = -134 - 55. Does 28 divide 193\/7 - s\/(-49)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l - 4*l + 2*l - 10 - 2*l. Suppose 0 = -3*v + v - 18. Is z(v) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 284637, 569330, 854021, 1138710?\nAnswer: 1423397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -17*l**3 + 13*l**2 - 13*l + 5. Let n(a) = -8*a**3 + 6*a**2 - 6*a + 2. Calculate -13*n(z) + 6*s(z).\nAnswer: 2*z**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/5)*t)\/t**(5\/2) assuming t is positive.\nAnswer: t**(-19\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*r + 12, -43*n - 8 - 83 = 2*r - 46 + 119 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101001011101 - 1010010?\nAnswer: -101010101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.9 - 0.1. Let z = 7 - 10. What is the closest to k in 0.5, 2\/3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -r - 48. Suppose -4*f - 3*u = 28, -3*u = -f + 3 + 5. Let t = f - r. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 31548512 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p - 11. Let b be (-6)\/(-4 + 95\/20). Let l be a(b). What is the closest to -0.1 in -10, -1, l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(1*5\/(-10)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -100475, -401936, -904375, -1607792?\nAnswer: -2512187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -364725 divided by -107.\nAnswer: 364725\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7\/128013 - 1036137299\/1408143. Which is smaller: -737 or n?\nAnswer: -737","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 4*c - 5 = c, -2*c = -2*i + 10. Solve -i*f = 3*f - 5*j - 20, 5 = 2*f + j for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 13, -96.3, -25\/3, 0, 0.3, -2?\nAnswer: -96.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 19558209 rounded to the nearest one million?\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 337593008 to the power of 1\/2, to the nearest integer?\nAnswer: 18374","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -6 - 2. Suppose -5 = -x*h - 9*j + 4*j, -17 = h - 4*j. Is -3 - 5\/(h\/194) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 52\/14 - (-6)\/21. Let j be 33\/12 + -2 - 0. Let x be 15\/18*(-4)\/10. What is the closest to x in i, -4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373463 to the power of 1\/3, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 - 10*o**2 - 22*o + 8. Let g be a(-6). Let w be (14\/12)\/(g\/(-24)). Suppose c + w*c = 2584. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 34 - 46. Let x = 11.7 + i. Let r = 3 - 0. Which is the third biggest value? (a) -4 (b) x (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1580405 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: Suppose 4*p = j - 22, 3*j = -p + 4*p + 21. Suppose 0 = 3*n + 4*d + j + 8, 3*n + 8 = -2*d. Put -3, -1, n in decreasing order.\nAnswer: -1, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 209784825*t**4 - 2*t**3 - 381614197 wrt t?\nAnswer: 839139300*t**3 - 6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 AM and 2:09 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*s - 235 + 247. Suppose -o + 3*x = -20, -2*o - s*x + 16 = -0*x. Solve o + 12 = -4*v - 3*g, 3*v = -3*g - 18 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1e6a3e (base 16) to base 13.\nAnswer: 54a371","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -14005 (base 7) in base 16?\nAnswer: -ec2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -64 + 61. Let d be (((-36)\/(-15))\/3)\/(p\/(-15)). Solve 10 = v + d*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a kilometer in meters?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 25*b = -100 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, v: 2}. Give prob of sequence cvcv.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11.4 - 10.25. Let m = 1.15001328 - j. Round m to 6 decimal places.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/5*(-355)\/(-142).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of -409*o**3\/3 + 677*o**2\/2 - o - 20. Find the second derivative of a(w) wrt w.\nAnswer: -818","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.052, -0.2, -2\/89, 5?\nAnswer: -2\/89","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.4 and 69814705639.\nAnswer: 69814705639.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -3 + (151 - 154) + 1 + 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -34 + -15531?\nAnswer: -20005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 155328 and 96?\nAnswer: 155328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/13 - 53989362*i\/13 + 4153028.\nAnswer: -2*(i - 1)*(i + 26994682)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -11*m**2 - 1477*m - 4301. Calculate b(-3).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -161577\/10 < -16159?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -2. Let y = 2.1 - 2.52. Let i = y - 0.08. Which is the nearest to -2\/3? (a) -0.2 (b) i (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 - 2*r**3 + 18 - 12 - 3*r**2 + 3*r. Let t be s(-4). What is the highest common factor of 10 and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 9:03 AM?\nAnswer: 2:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, a: 2, e: 1, o: 1}. Give prob of sequence arao.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1788264 by -204.\nAnswer: -8766","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -458 - -482. Solve -5*i + 3 = -4*b, 3*i + b = -4*b + k for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/944 and 19\/1062.\nAnswer: 8496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 23 = 4*z. Let u = 3 - -15. Let d = u + z. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x + 1. Let m(i) = 2*i. Let o(v) = m(v) + 3*y(v). Let t be o(3). Sort t, 3, 4 in increasing order.\nAnswer: t, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -7*c**2 - 3*c + 4. Let p be (-2)\/(3\/15*2). Let m(j) = -11*j**2 - 5*j + 6. Let t(w) = p*m(w) + 8*h(w). Suppose t(x) = 0. Calculate x.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001000110111000111 (base 2) in base 12?\nAnswer: -12485b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -9. Suppose r = k + 18 + 132. Let w = k + 851. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -599997 (base 11) in base 5?\nAnswer: -220401243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, 3, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 3*k - 19. Let o be i(12). Calculate the greatest common factor of 119 and o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57 = -19*o + 10*o - 10*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72923 divided by 11.\nAnswer: -72923\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/(-336)*28\/21*36\/((-96)\/8).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of 19*r**2\/2 - 21*r - 95. What is the first derivative of i(g) wrt g?\nAnswer: 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -493907 by 53.\nAnswer: -9319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) 7\/26 (c) 3 (d) -0.2 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -359043 or 1?\nAnswer: -359043","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44 is divided by 5\/((-5)\/(-4)) - 16\/(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -131436 divided by 4?\nAnswer: -32859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 73.1 - 73.489. Let i = -0.189 - r. Which is the fourth biggest value? (a) -13 (b) i (c) -1 (d) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42524?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2680 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 - 5*a**2 + 7*a + 29. What is y(-3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 295644955?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -253 - -265. Let t be 4\/((b\/(-13))\/(-6)). Calculate the highest common divisor of 1274 and t.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(162) + 5*sqrt(162)))\/((sqrt(150) + sqrt(150) + sqrt(150) + sqrt(150) + sqrt(150)*4 + sqrt(150))*1).\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qmmmmmmqmmmq. Give prob of picking 2 m and 2 q.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25152546*p*u**4 + 1281*p*u**2 - 6374*p wrt u.\nAnswer: -603661104*p*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -45.6 and -14942.3853.\nAnswer: -14987.9853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 13*d - 50 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 - r. Let y(j) = 8*j + 5. Let a(t) = -3*s(t) - y(t). Let z be a(5). Suppose 0 = -k - 2*k + z. List the prime factors of k.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 502303 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (29 - -16 - -9) + -2 + (-1 - 5) - 5.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -208 times -1?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13553?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115778?\nAnswer: 2, 13, 61, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28 and 399.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 4*k - 103214, 2*j + 0*k - 103220 = -3*k. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 + 57*v - 480. Determine o(9).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*v + v. Let r be 2\/(2\/1) + 3. Find t, given that -1\/2*t**r - 1\/2 - 2*t - v*t**3 - 3*t**2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 5*l**2 + 2*l - 4. Let a(x) = x**2 - 1. Let d be (-5)\/(75\/(-253)) + (-10)\/(-75). Suppose -14 + d = -j. Determine j*a(v) + i(v).\nAnswer: 2*v**2 + 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8362\/13*h - 3188\/13*h**3 + 154\/13*h**4 - 2\/13*h**5 + 8660\/13*h**2 + 2738\/13.\nAnswer: -2*(h - 37)**2*(h - 1)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*h - h. Calculate the remainder when 17 is divided by h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, 12, 26, 46?\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2448) + 1 + (sqrt(85) - sqrt(85)*-5)\/sqrt(5))**2.\nAnswer: 36*sqrt(17) + 5509","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 155264 (base 7) to base 16\nAnswer: 77cf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -1583?\nAnswer: -5\/1583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeemeememmmemmcmmm. Give prob of picking 1 e and 1 c.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20 + -130?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 34931? (a) -0.041 (b) 0.06 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 199 and 1.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 858 and 1430.\nAnswer: 4290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - 214079a?\nAnswer: -2140799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 505, 512, 531, 568, 629, 720, 847?\n\"Answer: c**3 + 504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 - -24. Let q = -9 + l. Which is the closest to q? (a) 0.1 (b) 1\/5 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 - -4. Let f = 15.27 - n. Let k = f + 0.13. What is the second biggest value in k, 0.3, 5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**4\/2 + 5*a**3 + a**2\/2 - 5*a.\nAnswer: -a*(a - 10)*(a - 1)*(a + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 1:00 PM?\nAnswer: 8:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 1 - ((-7 - -5) + 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0.94, 5, 2, -0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 9 (b) -1.6 (c) 6\/19 (d) -0.176\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 201135.\nAnswer: -1\/201135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*z**3 - 3*z**3 + 8*z**3 + 0*z**3 - 4*z**3 + 3*z**3 + (-2*z + 2*z + 2*z)*(z**2 - 10*z**2 + 2*z**2) - 3*z**3 - 3*z**3 + 5*z**3.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6424 - ((-340)\/(-55) + 18\/(-99)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 583140, 583214, 583328, 583476, 583652, 583850, 584064, 584288?\n\"Answer: -j**3 + 26*j**2 + 3*j + 583112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72 = -3*t + 3*g + 69, 0 = 4*t - g - 5 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (68\/(-85))\/(546\/65)\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 25*j**4 - 2*j**3 - 5*j**2 + 13*j - 1061791 wrt j.\nAnswer: 100*j**3 - 6*j**2 - 10*j + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 + w - 1. Let h(d) = -12*d**2 + d + 5. Let c(n) = -h(n) - 5*s(n). Let g(f) = -11*f**2 + 9*f. What is 8*c(t) + 5*g(t)?\nAnswer: t**2 - 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, 24, -31, -5, -4 in ascending order.\nAnswer: -31, -5, -4, -1, 1, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2204?\nAnswer: 2, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 - 24*v**2 + 10*v - 41. Let g be s(24). Suppose -n + 4*t + g = 0, 671 = 4*n + 3*t - 125. What is n rounded to the nearest 10?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 x when three letters picked without replacement from yzyxyxzyzyxzxx.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - 120\/((-8)\/(-2)))*-6. Suppose 7*x = -5*x + n. Solve 3*d + x = -3*h, -4*d + h = -2*h + 13 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, g: 1, h: 2, o: 1}. Give prob of sequence hom.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of 13565155 and -0.03.\nAnswer: 13565154.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 + 0)\/((-6)\/(-4)). Suppose d*p + 2*p = -4*t - 104, 2*p + 4 = 0. Is -24 < t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4283, 4290, 4301, 4316, 4335, 4358?\n\"Answer: 2*p**2 + p + 4280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 30\/(-4) + 56\/16\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -33 - -49. Put -1, h, 2 in decreasing order.\nAnswer: h, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/90 and 93\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1621 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(-3)\/36*2.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (35 - 2225 - 414)*(s**5 - s**5 - 3*s**5).\nAnswer: 7812*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-1*sqrt(96)*-5 + sqrt(96))\/(sqrt(192) - -5*sqrt(192)*-2))**2.\nAnswer: -10*sqrt(2)\/3 + 227\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 42 + 2. Suppose -5*c - 4 = 3*l - h, 4*c + l = 9. Sort 2, 1, c in increasing order.\nAnswer: 1, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 82*o**4 - 17*o + 13*o + 3 - 120*o**4 + 4*o**2 + o**3 to the form g*o**2 + w*o**4 + b*o**3 + j*o + d and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 257*d**2 - 5*d + 5. Let t(p) = -258*p**2 + 4*p - 4. Determine -4*h(v) - 5*t(v).\nAnswer: 262*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/5, 166.5, 2\/3, 3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 92597?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 16927?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 1 = k, -4*k - w = 4*w + 21. Let g(r) = -32*r + 47. Does 35 divide g(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32632 is divided by 305?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*b**3 - 5 + 18*b**2 + 0*b**4 - 18*b**2 + b - b**4 as q + h*b**4 + y*b + c*b**2 + n*b**3 and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 259855043 to the power of 1\/3, to the nearest integer?\nAnswer: 638","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.04 and 1.9.\nAnswer: -0.076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -2*r**2. Let p(j) = 1090*j**2. What is p(g(x))?\nAnswer: 4360*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 67 or -22?\nAnswer: 67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from otmemtttdmtot. What is prob of picking 2 t?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1040331413 (base 5) to base 16\nAnswer: 22bef4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.18, 0.021, -47, -0.0368?\nAnswer: -0.0368","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j + 1. Let t(s) = s + 1. Let b be (-1)\/(-1) + (-20)\/5. Determine b*m(i) + 2*t(i).\nAnswer: -i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(2*sqrt(18) + -1*sqrt(50)) + (2 + sqrt(6)\/(sqrt(75) + sqrt(3)))**2 + -3.\nAnswer: -16*sqrt(2)\/3 + 19\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -63*h + 1009. Let g be i(16). Let c(d) = d**2 + 1. Let x(b) = -16*b**3 - b**2 + 1. Determine g*c(w) + x(w).\nAnswer: -16*w**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26*p - 64*p + 6 + 34*p)*(-8*p + 0 + 0).\nAnswer: 32*p**2 - 48*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1893 - 1893 + 2*h**2.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 5 - 13 - -7 - 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -370 divided by 37.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 45, 170, 387, 702, 1121?\n\"Answer: i**3 + 40*i**2 - 2*i + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1891, -3, 4, 1, 0 in increasing order.\nAnswer: -1891, -4, -3, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.706 less than -1?\nAnswer: -1.706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 + 6*x**2 - 2*x - 4. Let m be t(-6). What is the greatest common factor of m and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 + 18*c**2 - 57*c - 56. List the prime factors of i(10).\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -8*f**2 + f + 1. Give o(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -48*a + a**3 + 23*a + 24*a - a**2 - a**4 to the form x*a**2 + m*a**3 + u*a + n + t*a**4 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17 - -21. Suppose 2*k - f = -1, f - m*f = 5*k - 25. Let n = 7 - 3. Solve 3*z - n = -z - 5*o, -4*z - k*o - 8 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by 73211.\nAnswer: -9\/73211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*x**2 + 2*x - 1 + 43*x**2 - 35*x**2 - 11.\nAnswer: 76*x**2 + 2*x - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 23b652 (base 13) to base 3\nAnswer: 1121100210202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v**2 + 2*v + 2. Let f be j(-1). Solve -3*l**4 + 0*l**f - l**2 + 0*l**2 + 4*l**2 = 0 for l.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 257?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111110 - 101?\nAnswer: -10000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -82 - 169 - 2*i**2 + 36*i + 89 = 0.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of 748 + 5*k**2 - 752 - 4*k**2. Let d(r) = -19*r. Calculate d(n(l)).\nAnswer: -38*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 31 - -3?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 2*z - 446, -3*z - 302 + 2545 = 5*l. Is l a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 - 202\/(-6))*(3 - -6). Suppose -269*n - 21 = -j*n. Solve -2*s = -n*t + 3 + 6, s + 8 = 5*t for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -115 + 198. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1985563 is divided by 992753?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**22*(j*j**15*j)\/j*j)**(2\/113))**3)**29 assuming j is positive.\nAnswer: j**(6786\/113)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 4. Suppose 2*r + 2*j = -y*j - 28, 5*r - 2*j = -70. Is 9 a factor of 21\/r - 42\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1423731199.\nAnswer: 11, 19, 103, 66137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 693985.1 nanoseconds?\nAnswer: 693.9851","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3835 = -5*y + 3*x - 8*x, -5*x + 1525 = 2*y. Suppose 0 = -l - 245 + y. Suppose 175 = 4*t - l. What are the prime factors of t?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1121? (a) -0.5 (b) 0.2 (c) 143 (d) -5\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - 0. Let h(l) = -l**2 + 7*l**2 + l**3 - s*l - l**2 - 4. Calculate h(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 - (2 + 8)) + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*t = 3286 - 16536. Is 29 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u**4 - 75*u**3 + 865*u**2 - 1365*u - 2300 = 0. What is u?\nAnswer: -23, -1, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 286 + 224. Let c = -56 + v. Does 7 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide (6\/4)\/((-273)\/(-78)) - (-5734)\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 160\/12*(-1 - 2). Let f = 186 - 260. Let b = l - f. List the prime factors of b.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 62698260?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 0 - 2 + (-2 - 1 + 1)*(2 + 1 - 2) - 6 + 1 + 3)*(3*w - 3*w + 5*w) + (-6 + 1 - 2)*(2 + 4*w - 2) to the form v*w + z and give v.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -6.9603 from 232.\nAnswer: 238.9603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.06 or 259?\nAnswer: 259","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-6) - 1\/(-3). Suppose -3*z + c = -m*z - 6, -4*c = 3*z + 9. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = -3*g + 5, -2*g - 37 = -4*f - 35 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 30*l**2 - 4*l - 26. Let a(b) = -136*b - 163*b + 300*b. Let p = -4 + 3. Let x(q) = p*y(q) - 4*a(q). Find the first derivative of x(i) wrt i.\nAnswer: -60*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -2 (c) 7 (d) 86.4 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43065615 is divided by 418112?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3\/119, -3, 1\/3, 8, 0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 7*t = -30. Let g(w) = -1 - 9*w + 7 + 7. Let k(q) = -5*q + 7. Calculate t*g(r) + 11*k(r).\nAnswer: -r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -6*(-3 - 20\/(-8)). Suppose 0 = -h*a + 5*a - 212. Let t = a + -36. What is the highest common divisor of 14 and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66 divided by -21?\nAnswer: -22\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 12*(25*((-36)\/15 - -2) - 126\/(-12))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 + p. Let x(u) = -342*u**3 + 6*u**2 + 37*u - 20. Let v(n) = 7*t(n) + x(n). What is the second derivative of v(f) wrt f?\nAnswer: -2052*f - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s*s\/s**(-6)*s)\/s*s\/(s**(1\/14)\/s*s)*(s*s\/(s*s**(2\/11)))\/s**1*(s**(-11)*s*s\/(s*s\/((s*s**7)\/s))*s)**(-14) assuming s is positive.\nAnswer: s**(8123\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 3*a = 52, 4*u + 47*a - 21*a = 696 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -232*m - 630. Let d(r) = -233*r. What is f(d(w))?\nAnswer: 54056*w - 630","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 106.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -68*k - 6*k**2 + 0*k**2 + 0*k**3 + 69*k - 35*k**2 + 2*k**3 - 3 in the form t*k**3 + w + u*k**2 + d*k and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -55*a - 58*a**2 + 55*a + (-2*a - 2 + 2)*(-a + a + a) + 4*a - 2*a**2 - 4*a - 2*a**2 - 2*a**2 + 3*a**2 + (-3*a + 2*a - 3*a)*(-3*a + 5*a + 1 - 3*a).\nAnswer: -59*a**2 - 4*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 5*i = l - 74, -l = -i - 19. Suppose 0 = 5*j + o + 2*o - 72, 4*j = 2*o + 40. Calculate the remainder when l is divided by j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22589735 and 245?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -24 - 4*t + 10 + 12 as h + m*t and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a. Let d be ((-3230)\/(-20))\/19*14. Let p = 100 + 19. Let j(c) = -p + d - 20*c. Give j(b(m)).\nAnswer: 40*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 PM and 4:25 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i = -6*i - 4. Suppose -1 + 1 = -i*o. Let d be (-1 - -7)*(2 + -1 - o). Let r(x) = x - 2. Give r(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 2 = -3*d - 3, 0 = 2*l - d - 3. Suppose 16 = l*p - 3*v, 11 = 2*p - 2*v - 5. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 + 4*n**2 + 2*n - 3. Calculate c(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 506 is divided by 129?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 68342403 to the power of 1\/3, to the nearest integer?\nAnswer: 409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -2*u**2 - 386*u + 386*u. Let h(i) = 7*i. What is y(h(r))?\nAnswer: -98*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000367331 to seven dps.\nAnswer: -0.0000367","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5614.811ml to litres.\nAnswer: 5.614811","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 838860.\nAnswer: 2, 3, 5, 11, 31, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81109456.\nAnswer: 2, 499, 10159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 156 + -92. Suppose -13*b = -15*b + n. Is 8 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 2*b**2 + 89*b - 216. Calculate t(18).\nAnswer: 2034","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 406 - 0?\nAnswer: 406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 - (-150397)\/(-4853)) + 37 + 9?\nAnswer: 2\/211","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31 + -25. Suppose -f*y + 21 = 3. Suppose -y*i + 0*i = -6. Is i != 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21365 + -21305. Calculate the lowest common multiple of i and (-4)\/3*18\/(-12).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -5. What is the nearest to g in -2\/5, 3, -0.01, 5?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of -z**5\/20 - 5*z**4\/12 - 5*z**3\/6 - z**2 - 7*z. Let v = -5 - -1. What is x(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -29*p**5 - 18*p**5 + p**5 - 5*p**4 + 5*p**4 - 5*p**5 + (2*p + 4*p - 4*p)*(3*p**4 - 2*p**4 - 3*p**4).\nAnswer: -55*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3901519 decades to centuries.\nAnswer: 0.03901519","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 3481907 to the nearest ten thousand.\nAnswer: 3480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 661813.2 litres?\nAnswer: 661813200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 4*x**2 + 150*x + 645. Let p be t(-34). Calculate the highest common divisor of 18083 and p.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29 - 17. What is the remainder when s is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*v + 19*v**3 + 5869*v**2 - 2264*v**2 + 33*v**4 - v**5 - 11*v + 57*v**4 wrt v.\nAnswer: -60*v**2 + 2160*v + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5 and 358.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23 - -27. Suppose o*b = 16*b - 120. Suppose 200 + b = s. Is s a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, 6, -121, 417 in decreasing order.\nAnswer: 417, 6, 1, -2, -121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/3, -2, -25, 1\/3, -9, -0.102?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 30572, 61145, 91720, 122297?\n\"Answer: n**2 + 30570*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 16311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23 - -22.9. What is the closest to 3 in f, -2, -0.5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19496 is divided by 1028.\nAnswer: 992","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -1258?\nAnswer: -6290","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.97 - -1.03. Which is the nearest to 13? (a) n (b) 4\/19 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 32822425?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -37*l**3 - 5*l**2 - 41*l**3 + 26 + 79*l**3 - 24. Calculate h(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -164*m**2 + 34*m**2 + 82*m**2 + 21*m**2.\nAnswer: -27*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 + 7*h - 12. Let d be x(-10). Suppose -s = 3*q - 981 - 34, -4*q + 1335 = 3*s. What is the highest common divisor of q and d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(35) + sqrt(105)\/sqrt(3)))\/(sqrt(5) + 6*(sqrt(5) - -2*sqrt(5))))**2.\nAnswer: 112\/361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooee when four letters picked without replacement from {e: 4, o: 14}.\nAnswer: 91\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/7623 and -5\/108537.\nAnswer: 2279277","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -61 - -194. Let t(l) = 2*l**3 + l**2 - 2*l + 3. Let y be t(2). Calculate the highest common divisor of p and y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-37)\/(-7) - (-4)\/(-14). Let q(p) = p**3 + 6*p**2 - 2*p - 6. Let v be q(-6). Suppose -w = 4 - v. Solve -5*s + w = -2*y, y - 2 + 3 = -k*s for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10218?\nAnswer: 2, 3, 13, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-30)\/(-35) + 16\/(-28). Let j(m) be the first derivative of -2\/21*m**3 - 3 - h*m**2 - 2\/7*m. Find o, given that j(o) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 - 5*k - 2. Let u be n(-4). Which is the third biggest value? (a) 2\/3 (b) -4 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -96*a**2*b - 11*a**2*x**3 - 116*a**2*x**2 + 8*a*b*x**3 + b*x**2 + x**2 wrt b?\nAnswer: -96*a**2 + 8*a*x**3 + x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14129, 56303, 126595, 225005, 351533, 506179?\nAnswer: 688943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -10142202 divided by 791\nAnswer: -12822","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= -35043?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5631.8 + -320335132.\nAnswer: -320340763.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -77.3 + -153824.\nAnswer: -153901.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -27*t + 22*t - 29*t + 92*t in the form y + m*t and give m.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lllrrlrl. What is prob of picking 3 r?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + -3*sqrt(612))*3)**2 - 1*(2 + sqrt(612))*-1.\nAnswer: 978*sqrt(17) + 49655","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1d + -133?\nAnswer: -151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 75951855?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -86*s - 4. Let y(j) = -80*j - 4. What is 4*y(x) - 3*z(x)?\nAnswer: -62*x - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 + 4*d. Let a be i(4). Suppose a = 8*b + 2*b + 390. What is the units digit of (-150)\/b + 14\/91?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -433, -435, -421, -373, -273, -103, 155, 519?\nAnswer: 1007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 28 = -2*z, 2*z = 35*w - 30*w - 8. Solve 2*r = -2*a - 11 + 1, w*r + 14 = -2*a for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.2 (b) 6\/13 (c) -20 (d) -57\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4907377168?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (-14 + (-4 - -13)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of 0 + u**2 + u - 1\/6*u**3. Let w be p(-8). What is the highest common divisor of 40 and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dk when two letters picked without replacement from {d: 1, x: 7, k: 2, e: 6, a: 2}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vlrvspsjr. Give prob of sequence vvlr.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -29*m - 4. Let y = -15411 + 15415. Let x(o) = 175*o + 25. What is y*x(z) + 25*h(z)?\nAnswer: -25*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) 724 (c) -4 (d) -1.157\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1152 and 495?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 3*r - 72. Let v = 60 + r. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 585458 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24586 and 1941?\nAnswer: 647","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90 = -15*a + 81206*q - 81211*q, 6 = 2*q for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate d*k**2 - 2*d*k - 21226*d - 160701*k**2 + 2*k + 3 with respect to d.\nAnswer: k**2 - 2*k - 21226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -46*s - 391. Give z(-9).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6 - 11)\/((-4)\/104*5). Suppose -n*w + 132 = -4*w. Let a(q) = q**2 + 2*q - 8. Let o be a(-6). Solve 0 = 2*x - w, 0 = -5*p - 3*x + x + o for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1551\/(-363) + (0 - 0 - -4).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -21*p - 4205. Let q be n(-205). What is the highest common factor of 2825 and q?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 2*f + f - 9 = 0, 7 = -p - 3*f. Put -5, 3, -1, p in decreasing order.\nAnswer: p, 3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3209695, 3, 15 in decreasing order.\nAnswer: 15, 3, 0, -3209695","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -294, -180, 14, 294, 666, 1136, 1710?\nAnswer: 2394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 454984518 is divided by 1001.\nAnswer: 989","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54906 is divided by 13699?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -81 + 113 - (5 + 24)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -5*b - 15. What is d(16)?\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107945 is divided by 2920?\nAnswer: 2825","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 588 - 587. Solve 3 - j = -b - 5*p, 0 = -4*p for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cec when three letters picked without replacement from {c: 8, t: 1, h: 1, w: 1, e: 2, u: 1}?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3354382?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13639, 13658, 13677?\nAnswer: 13696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-9) + 547\/15. Let i = g + -9026\/245. Let w = 137\/245 - i. Is w equal to 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8813237 a multiple of 1249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -103321598, -103321600, -103321602, -103321604, -103321606?\n\"Answer: -2*x - 103321596","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 AM and 2:01 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 7:37 PM?\nAnswer: 10:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 300791339 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2760073742 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-152)\/2244*((-117)\/(-26) + -6) and -101\/102.\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**2 + 5 - 5 - r**2 + 3*r**2 - r**2 + (-11*r + 3 - 3)*(-2*r + 4*r - r) + 0 + 0 + 2*r**2)*(2*r - 5*r + 2*r).\nAnswer: 7*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -x - 17, 3 + 10 = i - 2*x. What are the prime factors of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -28*m**5\/5 + 25410216*m**4\/5 - 5764861077864*m**3\/5 - 59297694399488*m**2\/5 - 32119931591916*m - 8235889203240 = 0. Calculate m.\nAnswer: -5, -2\/7, 453759","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6483342.\nAnswer: 2, 3, 1080557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -2. Let c be (-15)\/9 - -4 - (-4)\/6. Suppose 0 = -2*z - 0*z - 2, -4*d - c*z = -5. Solve 0 = d*h - 1 - t for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 541 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 1 - 2. Let l = g - -36. What is the remainder when l is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 - 4*v + 5. Let p be u(-4). Suppose 3*c - 1130 = 2*q - 99, 0 = -p*c - 4*q + 1755. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -241*v - 1967. Calculate n(-9).\nAnswer: 202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60115275.\nAnswer: 3, 5, 11, 107, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/11, 2\/3, 2.5, 1\/2, -0.3 in descending order.\nAnswer: 2.5, 2\/3, 1\/2, -3\/11, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = -626*l + 622*l - 58, -242 = l - 17*c for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**5\/2 + 256*q**4 - 62401*q**3\/2 - 400101*q**2 - 1530342*q - 1853388 = 0. What is q?\nAnswer: -6, -3, 262","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -44*x**3 - 5*x**2 + 7. Is 4 a factor of c(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrcr when four letters picked without replacement from rrcwwwwrrcc.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -3*z - 111, -d + 17 = -z - 4*d. Let k = -67 - z. What is the tens digit of (10\/k - 926\/(-7)) + -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2.9, 84\/23, 9, 0.3, -5?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 2429402.4 months?\nAnswer: 202450.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 69.1548 less than 464.17?\nAnswer: 395.0152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -17787 less than -6?\nAnswer: 17781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -383 + 383.3. Put 866, h, 0.1 in descending order.\nAnswer: 866, h, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/688701 or -1?\nAnswer: -4\/688701","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of t**6\/10 + 13*t**5\/15 + 13*t**4\/6 + 2*t**3 - 2*t**2 - 94. Find c, given that d(c) = 0.\nAnswer: -3, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100151 (base 6) to base 2.\nAnswer: -1111010100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a second in microseconds?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of -14*g**6\/135 - 5*g**5\/9 + 32*g**4\/27 - 5*g - 138. Find v such that b(v) = 0.\nAnswer: -32\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -2*sqrt(57)\/(sqrt(144)\/sqrt(12)) + 0)**2.\nAnswer: -8*sqrt(19) + 35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -150252 - 1.65853.\nAnswer: -150253.65853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**2 - 188880120*g - 4459462466401800 = 0. Calculate g.\nAnswer: -47220030","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1633*p - 54653 + 70415 = -75686 for p.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of t**7\/1120 - t**6\/240 + t**5\/160 + t**3\/2 + 5*t. Let x(f) be the second derivative of o(f). Factor x(n).\nAnswer: 3*n*(n - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s**2 + 6*s. Let r(t) = t. Let l(v) = -6*r(v) + z(v). Let w(n) = 18*n**2. What is w(l(m))?\nAnswer: 72*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 8 = 4*o, 3*o + 5*l = 7*o + 40. Let k(g) = 3*g + 12. Let h be k(o). Let w be h + (-1 - 6999997) + 1. What is w rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*g + 0 + 0*g**2 + 0*g**3 + 3\/2*g**4.\nAnswer: 3*g**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*3*(sqrt(13) + sqrt(13) + -1 + 2 - (3*sqrt(832))**2).\nAnswer: -112305 + 30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1406267 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0035043 to four decimal places.\nAnswer: 0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1610.4 less than -86.8?\nAnswer: -1697.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(684) + -1 + (sqrt(684) - (2*sqrt(684) + 0)) - (2 + sqrt(684) + -1*sqrt(684) - sqrt(684))*-3)*-2)**2 + -1.\nAnswer: -1008*sqrt(19) + 24819","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -240*t**2 + 828*t**2 - 374*t**2.\nAnswer: 214*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 45*q + 72. Let o be z(-12). Let x = 3293\/7 + o. Find the common denominator of 69\/218 and x.\nAnswer: 1526","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from mmmmmbmbmbmbmmbmmb?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 PM and 12:21 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 78 divided by -78?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 26 + (-2)\/(0 - 2). Let m = h - 25. Let l(r) = 4*r**2 - 2*r**2 - r**2 + 9*r**m + r. Calculate l(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 52 and 31468372.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -21*v. Let c(d) = -17*d - 6. Let x(z) = -77*z - 1. Let h(n) = -c(n) + 6*x(n). Calculate h(w(j)).\nAnswer: 9345*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 2*m + 7, w + 16 = 3*w + 5*m. Solve w*f - 4*f + 11 = -2*u, -4*f - 21 = 5*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 243?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a + 7487?\nAnswer: 747a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 5915*g - 1956*g - 1959*g - 29*g**2 + 48 - 1974*g + g**3. Determine z(28).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -8. Solve 3*p = r*p - 8 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 325952 or 325964?\nAnswer: 325964","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -1450*u - 100052. Give g(-69).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15 and 296135?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -13801400 to the nearest 1000000.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*(w*w**(-18))\/w)**(-6\/5)\/(w\/((w*w\/(w\/w**(-6)))\/w)*w\/w**(-1\/18)) assuming w is positive.\nAnswer: w**(1111\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 918396 and 72?\nAnswer: 1836792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence epzp when four letters picked without replacement from pzppezrpzqzzpzprzz.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, u: 8, x: 1, g: 2}. What is prob of picking 1 u and 2 g?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -0.053771.\nAnswer: -0.053771","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*k**3 - 21*k**3 - 14*k**3 + 75*k**3.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-57)\/(-2))\/(1\/2). Which is smaller: 58 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 AM and 8:29 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 91 - 36. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 30318 to the nearest 100.\nAnswer: 30300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a - 5. Let j be g(7). Suppose 3*o = 3*v - 2*o + 9, -2*v + 16 = 4*o. Suppose -1 = 3*i + 8, 0 = x + v*i. Solve -j - x = -4*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -797801 = -17*v + 464075 + 1658214. What is v rounded to the nearest one thousand?\nAnswer: 172000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.437164 days in seconds?\nAnswer: 815370.9696","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 10478803 and 225.22385.\nAnswer: 10479028.22385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 2 w when four letters picked without replacement from wwwiwiwwiwiwwwiw?\nAnswer: 55\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*i - 341 = 44*i. Let p = i - 1. Is p a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24 + 931*b - 931*b + 2*b**2.\nAnswer: 2*b**2 + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 8 - 20 = 0. Solve 2*i + 6 = 2*k, 0 = -r*k + 3*i - 2 + 11 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -47 in 2\/11, -3, -0.3, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 8, p: 2}. What is prob of picking 2 s?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 564.04809 + -564. Round b to 2 decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 230.98 - 227. Let s = m - -0.02. Let y be (-8)\/36 + 11\/9. Which is the nearest to y? (a) -1\/4 (b) 0.2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 - 0*(-3)\/(-9). Suppose 2*k = -0*k + 4. Suppose 4*r**3 - 6 - r - r**3 - t*r + 6*r**k = 0. What is r?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/131250 and -77\/162.\nAnswer: 3543750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10680, 10685, 10690, 10695, 10700?\nAnswer: 10705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -200*m**2*w**2 + m**2*w + 4*m**2 - 3*w**2 - 2*w + 25 wrt w.\nAnswer: -400*m**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -102631.7 to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q. Let a(h) = 49998073*h**2. Calculate a(r(n)).\nAnswer: 49998073*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -4099*j. Let n(b) = 37*b. Determine n(i(d)).\nAnswer: -151663*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/5)\/((-2)\/1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o**2 - 5 + o - 3*o**2 + 0*o. Calculate b(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 + 1\/1 + 3776 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 + o**2. Let s be r(1). Suppose 5*h - 14 - 171 = s. Let f = h - 30. What is the remainder when 18 is divided by f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 2*z = -3*f + 18, 4*z - 30 = -5*f. Suppose 0 = -4*y - x, 0 = 2*x - f*x. Let h(t) = 1 - t - 6 + y. What is h(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 2*w**3\/7 + 50*w**2\/7 - 2*w\/7 - 50\/7 = 0.\nAnswer: -25, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 182*w**3*y + 31*w**2*y - y wrt w?\nAnswer: 1092*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 1*-5*1*(1 + sqrt(1700)) + -3)**2.\nAnswer: 500*sqrt(17) + 42525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5212, 51, -1, 3, -4, 2 in decreasing order.\nAnswer: 51, 3, 2, -1, -3, -4, -5212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9050, -9039, -9036, -9053, -9102, -9195, -9344?\nAnswer: -9561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/(-2))\/(2\/(-16)). Suppose 2*n + 8 = -2*n. Let t = n + y. Solve -5*m + 45 = 3*o + 15, 4*o - t*m = 14 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3773572521.\nAnswer: 3, 1257857507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 361 is divided by 69?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/18 - 12400\/(-279). What is the second derivative of -s*n**2 - 178*n - 174*n + 345*n wrt n?\nAnswer: -88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59 divided by 36.\nAnswer: -59\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/3*8 + 12470\/(-1595)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 99800 and 3100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/70066 and -33\/3934.\nAnswer: 137819822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -170 - 837 + 4018 + n**2 + 3166.\nAnswer: n**2 + 6177","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 15*b**3 - b**2 + b. Suppose 5*j + 3*m = 5*m + 208, -3*j + 3*m = -123. What is the remainder when j is divided by w(1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-18)\/21*28\/(-3). Let o be (0 - m\/(-10)) + (-606)\/720. Which is smaller: -9 or o?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 125374*h**3 - h + 6*h - 8*h + 102265*h**3.\nAnswer: 227639*h**3 - 3*h - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21431 - 21025. Solve 0 = 51*c - 2 - s for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -24*(-2 - 5\/(-4)) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 3850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = z - 5*z + 24, 4*z = -3*r + 8 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 25 = 3. Calculate the remainder when 30 is divided by o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from mkmkk?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 234 and 390.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86080495?\nAnswer: 5, 853, 20183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24 - (3 + 18)) + 13?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 7*g**3 - g - 2. Let z be d(2). Let r be 11\/z - 2\/(-8). Let i be (5 - 1) + (10 - 14). Are i and r nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, -1, -13, -23, -31, -37, -41?\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2*r**3 - 6*r**2 + 3*r - 1. Let u be j(-5). Let x = -70 + u. Suppose -5*h - x = -79. Calculate the remainder when 24 is divided by h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -7 - 13, 5*m + 74 = 3*f. Suppose -5*d = f*d - 92. What is the greatest common divisor of 28 and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 3 = 5*n. Let c be (-56)\/(-66) + (-4)\/6. Which is smaller: n or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-1 - 6) + 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -6692.5+0.187\nAnswer: -6692.313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 PM and 2:57 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j**2\/4 + 123875255*j\/4 + 30968814 = 0 for j.\nAnswer: -1, 123875256","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 48509359 a multiple of 2887?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (9 + -2)*(-3 - -8). What is the greatest common divisor of r and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 11\/(-4) + (-21)\/(-28). Let c be 444*(h - 57\/2). Is (-4)\/14 - c\/14 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 413432, 413422, 413400, 413360, 413296, 413202?\nAnswer: 413072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/5*(-40)\/(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ctqttcqcqctqqqqq. What is prob of picking 1 q and 1 t?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3711258 is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**27\/n)**(-33)\/((n*n*n**(16\/7)*n*n)\/n**28) assuming n is positive.\nAnswer: n**(-6085\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25 + -20. Let b be (-3 + 4 + -6)\/(-1). Let w = l - b. Solve -t = -w*t - 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 + (-1)\/(7\/(-56)). Suppose 16 = -a + 1. Let i = a - -21. Solve -g - 2 = -p*g + r, -3*r - i = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 168*v**2 + 5647 - 5647 to x + f*v + c*v**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2675904 divided by 112\nAnswer: 23892","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.075 and -6.\nAnswer: 0.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.55 + 0.25. Put u, 3\/5, 17 in increasing order.\nAnswer: u, 3\/5, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -262 + 305 - (-4 - -10 - 39).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + c = -38*c - 420. Let m(k) = -k - 20. What is m(c)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4066\/13, -4, -9.8, -0.1 in ascending order.\nAnswer: -4066\/13, -9.8, -4, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 115218947 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 + 7\/(-1))*6\/9. Which is the closest to -1\/2? (a) 0.4 (b) -3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, v: 1, p: 2, z: 3, k: 1, f: 1}. Give prob of sequence vzk.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6 - q + 9*q - 3*q with respect to q.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -5809\/299581 and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of u**5\/60 + 45*u**3\/2 + 12*u**2. Let o be f(0). Suppose 3*r - 28 - 17 = 0. What is the highest common factor of r and o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/(-2)*(-3)\/(-3). Solve y + 4*p - q = 0, 5*y + 2*p - 3*p = -22 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1512 a factor of 5957434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 4*y - 20. Suppose y = -0*w + 5*w. Suppose 2*m - w*z - 9 = z, -2*m - z = -15. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 352142, 704393, 1056750, 1409213, 1761782, 2114457, 2467238?\nAnswer: 2820125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*m + 1)*(-3*m + 3*m - 3*m) + (m - 4*m + m)*(7 + 4 - 3)*(-m + 3*m - 4*m).\nAnswer: 26*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 514310816 divided by -128577704?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, v: 3, p: 6, s: 1, t: 1, d: 1}. What is prob of sequence dv?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/34 or -4\/21?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 - 12*v**2 - v - 5. Let q be x(-12). What is the smallest value in q, 1\/2, 3\/4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 21 = 8. Let d = r - -48. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 + 11*c - 4. What are the prime factors of o(5)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/2)*r)\/((r**(-8)*r)\/r)*(r\/(r**10\/r)*r*r*r)**(30\/13) assuming r is positive.\nAnswer: r**(-79\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 23*l + 19 = 0, 59*j + l = 63*j + 110 for j.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 194 - 179. Is 1662 + t*5\/(-15) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 2*y. Suppose 3*n = -y*n + 24. Suppose 20 = 3*a + n. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 5379, 19275, 42413, 74775, 116343, 167099, 227025, 296103?\n\"Answer: -3*q**3 + 4639*q**2 + 743","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrfrfnrnrrffn. What is prob of picking 2 f, 1 n, and 1 r?\nAnswer: 108\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 4681090.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10065232?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 888\/91 >= 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 AM and 9:27 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uzzk when four letters picked without replacement from kazkkkkuazkazuakk?\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -11*w + 6. Suppose 76*y - 72*y = 4*l - 28, 2*y + 29 = 5*l. Suppose -5*d - z = 2 - 30, 5*z + 40 = l*d. Let k(x) = 10*x - 5. Give d*k(h) + 5*p(h).\nAnswer: 5*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(272)*-1 + -1 + -1))**2 - 4*(-5 + 4 + sqrt(272)*2).\nAnswer: 32*sqrt(17) + 1108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 37095.00062976 - 37095. Round f to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4807 and 51293749.\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 - v. Let w be ((-15)\/10)\/((-6)\/8). Suppose p - 3*g = 3*p - 10, -5*p = -4*g - w. Calculate the remainder when p is divided by a(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*x + 2*x**3 + 2 + 8*x**3 - 9*x**3 + 20*x**2 - 16*x**2 in the form w*x**2 + l*x**3 + p + c*x and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/18 and 19\/14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 4*x, 3*s + 12*x - 11*x + 4 = 0. Suppose 70*f - 81*f + 44 = s. Solve f*w + w = t - 1, 3*w - 17 = 5*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(-27)\/(-216)*68*(-2)\/1.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-8)\/(-6))\/((-2)\/42))\/((-38)\/19)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19 - 19. Solve 0 = -4*r - q + 15, -2*q - 3 = -b*r - 3*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 6:38 PM?\nAnswer: 8:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - -8. Calculate the remainder when 38 is divided by t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-10))\/((-1848)\/(-880)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1012548 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 27 - 71 + 18 - 3590*l + 26 in the form v*l + j and give v.\nAnswer: -3590","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -4 (b) 0.3 (c) 1\/13 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 115254 and 1296?\nAnswer: 8298288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p + 5*d - 60, 4*d + 12 = -3*p + 56. Let x(n) = -4*n - 9 - p + 9. Let t be x(-9). Solve 4*q + t = 4*i, 4*i - 7 + 19 = -3*q for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/12*21\/(-1890)*-15.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.764845m in kilometers?\nAnswer: 0.004764845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 155936 and 256?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -175*u + 80845 = 16*u + 54*u + 458*u for u.\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((-1)\/((-3)\/2)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a kilogram in grams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 3:08 PM?\nAnswer: 3:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 13074 divided by -4358?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4569976 is divided by 245.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 3*c**2 + 4*c - 4. Let u(f) = -3*f**2 - 5*f + 5. Let o(m) = 5*b(m) + 4*u(m). Let g(t) = t. Calculate g(o(l)).\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1114c0 (base 14) to base 10.\nAnswer: -579936","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1253 - 1075.8. Let i = x - 177. Which is the third smallest value? (a) -4 (b) -0.49 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 0.5 (b) 2\/11 (c) 71\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96 = 60*o - 44*o for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.5, 1\/47, -489, -1, -1\/2, 0.1 in descending order.\nAnswer: 1.5, 0.1, 1\/47, -1\/2, -1, -489","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21 - 25. Sort f, -6, 4 in ascending order.\nAnswer: -6, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 179623 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = 3*o + 27, 3692 = 4*w - 4*o + 3712 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 788369.\nAnswer: 788369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1357297151 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1\/173 + 355\/1557. Which is the nearest to -2\/5? (a) -0.35 (b) k (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.25345138 to four dps.\nAnswer: 0.2535","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1137 take away -0.5?\nAnswer: -1136.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*i + 85*i + 3*b = 14, -5*i + 2*b - 2 = 0. Solve j + 7*r - 10*r + 8 = 0, i*r = -5*j - 6 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**3 + 32*m**2 + 140*m - 1176.\nAnswer: -4*(m - 7)**2*(m + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 45 and 115?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*g - 127 = -49 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 - 3*b**2 + 2*b + 2. Let v be y(2). Suppose 4*i = 0, -2*i = -3*h - h - 16. Sort v, -2, h in ascending order.\nAnswer: h, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 + 2*b**2 - 5*b. Suppose -11 - 7 = -6*r. Suppose 5*q - 18 = -5*j + r*j, 0 = -4*j - 4. What is the tens digit of x(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 60*m**3 + 3122*m**2 + 101*m - 158. What is n(-52)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 17 (b) 2.8 (c) 83.46\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -27607 + 27642. Sort j, -15, 3 in increasing order.\nAnswer: -15, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 66 = -2*s. Round s to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7157084?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 41 = -5*w, 2*v + 4*w - 7 = 39. Let c be (-951)\/(-4) - v\/44. Is (-2)\/((-480)\/c + 2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3 (b) 0.08 (c) -317 (d) -0.3 (e) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -6*j - 16. Let o be w(-3). Solve t + 0*i - o*i = -9, 2*t + 3*i - 10 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 55*a*b**3*g**3 + a*b**2*g - b**3*g**3 + b**2*g + 3*b**2 + 14*g**3 wrt b.\nAnswer: 330*a*g**3 - 6*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -81.042 + 0.042. Let a = -78.6 - w. Put a, -0.4, -1\/4, 5 in increasing order.\nAnswer: -0.4, -1\/4, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 - 4*i**2 - 2747*i + 19775. Calculate s(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v - 21*v + 0*v)*(0 + 3 - 2).\nAnswer: -18*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jh when two letters picked without replacement from ieejhjjehyjyihij?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -2*l. Let h(i) = -6*i**2 + 89*i + 17. Let s be h(15). Let n(m) = 7*m + 6*m**s - 9*m + 2*m. Give u(n(p)).\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*f - 404 = -152. Let x(z) be the first derivative of -14\/3*z**f + 11 + 0*z**2 - 16\/5*z**5 + 0*z + 0*z**4. Find the third derivative of x(u) wrt u.\nAnswer: -384*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 608*o - 12716. Calculate the remainder when c(23) is divided by 299.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 3*m + 12 = 0, -2*m = 49*x - 44*x + 8. Solve x = -5*w - 8 - 2 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l - 9. Let n = -40 + 45. Suppose 3*d + 0 = f - 3, 4*f - n*d = 5. What is w(f)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 - 12 = -3*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5630655 to the power of 1\/2, to the nearest integer?\nAnswer: 2373","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -362719 and 0.5?\nAnswer: 362719.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6 - (-1 - -3))*1. Suppose -r*v - 15 = v. Let y(t) = 4*t - 4*t**2 + 1 + 2*t + 5*t**2. Calculate y(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 499.126 and -5.8?\nAnswer: -2894.9308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 2 = -2. Let c = 37 - 103. Let u = c + 94. What is the greatest common factor of u and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-56)*-10*1)\/(-37*3\/111)?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u + 69. Suppose -35 = -3*w - 3*v + 10, -4*w + 44 = -4*v. Let d be t(w). What is the highest common factor of d and 205?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 35*m - 9. Let x(j) = -17*j + 5. Give 6*u(v) + 11*x(v).\nAnswer: 23*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2218332 and -1.4.\nAnswer: -3105664.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 318474283?\nAnswer: 318474283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a milligram in micrograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence viw when three letters picked without replacement from {w: 3, v: 2, i: 3}.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -7*i**3 - 370*i**2 - 664*i - 83. Determine d(-51).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4727 is divided by 27?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.43 - 0.57. Let d = 0 + 3. Let f = -3 + -2. What is the biggest value in f, j, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*2*sqrt(68) - sqrt(68) - sqrt(68))**2 + (sqrt(68) - sqrt(68)*-1)*-5.\nAnswer: -20*sqrt(17) + 6800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -5*w**2 + w**3 - 19 + 21*w - 10*w + 0*w**2 - 2*w**2. What is the units digit of a(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -15*(-4 - 104\/(-20)). Let g be (-7)\/(3\/42*-2). Let f = g + p. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + -1. Let d = c - 2. Let s(x) = 0 + 4*x - d + x**2 + 0*x - 1. Give s(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 147698 or 0.0863?\nAnswer: 0.0863","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -h - 5. Let y(d) = -d**3 - 5*d**2 + 5*d - 5. Suppose -4 = -4*w - 0*w. Calculate the least common multiple of y(h) and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 7*u - 77. Calculate g(-8).\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1257*s**2*w**3 - 3*s**2*w**2 - 4*s**2 - 698*s*w**3 + 42*s*w - s - 19*w**2 wrt w.\nAnswer: 7542*s**2 - 4188*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cggwr. Give prob of sequence cgg.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -59862891.98 to the nearest 1000000.\nAnswer: -60000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 685*d**3*s**5 - 51396*d**3*s**2 - 635*d**3*s + 9*d**2 - 2*d + 50*s wrt s.\nAnswer: 13700*d**3*s**3 - 102792*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 65556402 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 181743 is divided by 1553?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 3 = -2*d. Suppose -5*k - 2*n + 7*n = -95, 0 = -d*k + 2*n + 86. Suppose -3*q = -4*q + k. What is the greatest common divisor of 4 and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-42)\/84*(72\/610)\/(-1). Let u = 4654\/305 - f. Factor -64\/5*t - 128\/5*t**2 + 0 + u*t**3 - 2*t**4.\nAnswer: -2*t*(t - 4)**2*(5*t + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -75, -532, -1769, -4176, -8143, -14060, -22317?\nAnswer: -33304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/25*(-400)\/(-3120)?\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1590?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + -6. Let h be 1\/((-26)\/4 + 1). Let x = h + -16\/33. Which is bigger: x or n?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 - 6*x**2 + x - 6. Let f be c(6). What is the remainder when 6 is divided by 1 + 0 + f + 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 4:18 PM?\nAnswer: 2:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 2. Put 3, v, 2 in increasing order.\nAnswer: v, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(57)\/((sqrt(24) + 2*sqrt(24))\/sqrt(8)) - (-6*(-1 + 2 + sqrt(19)))**2.\nAnswer: -720 - 215*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k**3 - k**3 + 3*k**3 + 3*k**2.\nAnswer: 3*k**3 + 3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7810 - 35\/(15\/(-3)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 563 - 175 - 183 - 188 + 5*d.\nAnswer: 5*d + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 12:12 AM?\nAnswer: 1:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 6. Find the first derivative of -4 + 4 - x + 0*n - n wrt n.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of -5612*t**7\/105 + 37*t**5\/15 + t**4\/6 - 525*t**2 - 4. Find the third derivative of f(g) wrt g.\nAnswer: -269376*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - -3 - (-152 - -167).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 180 and 1332?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5451109 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, s: 1, b: 1, r: 2, v: 1, f: 1}. Give prob of sequence rcv.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -619*t**3 + 1136.\nAnswer: -1857*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(4\/13))**(-16) assuming d is positive.\nAnswer: d**(-64\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -4*w + 6317, 6*w + 3*b = 10*w - 6341. List the prime factors of w.\nAnswer: 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -5\/6 (c) -0.1 (d) -35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -0.23, 4228, 2\/11, -2 in decreasing order.\nAnswer: 4228, 2, 2\/11, -0.23, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 11:46 PM?\nAnswer: 2:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 71 + -35. Calculate the greatest common factor of 48 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v + 4. Let z(m) = -2*m + 8. Let b(l) = -5*l + 17. Let q(f) = -3*b(f) + 7*z(f). Give 6*c(p) - 5*q(p).\nAnswer: p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -389575 - -1a?\nAnswer: -389557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 3*u + 2*z = 28, -u = -z - 7. What is the greatest common divisor of u and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 19056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 525 a factor of 33723437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 157, 158, 159, 160?\n\"Answer: g + 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*s**2 + 2*s**2 - 8 + 10 - 6 as k*s**2 + c + f*s and give k.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -15, 0.1, 2\/55, -0.2, -0.1, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18480 and 1078770.\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 31301 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/7))**(-18)\/(r**2)**0*(r**(1\/3))**(-47)\/(r\/(r\/((r**(1\/3)\/r)\/r)*r)*r)**(-8\/13) assuming r is positive.\nAnswer: r**(-1051\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 27437*m**3 + 199920*m.\nAnswer: 164622*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 144 and 522?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -4771 smaller than -4770?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/754298 and 79\/26023281.\nAnswer: 52046562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 0 (b) -0.2 (c) 0.157\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.8 - -1. Let i be ((-4)\/11)\/(1 - -1). What is the biggest value in b, 1, i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - -10142?\nAnswer: 10200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p + 2. Let d be r(-2). Suppose -5*o - 2*k + 18 = 0, -d*o + 12 = k + 3*k. Let u(m) = -1 - m + 2 + 4. Calculate u(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -32\/53 and 26\/396871?\nAnswer: 21034163","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - g + 49576, -2*g - 8871 - 15937 = -2*h. Is 49 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -5) + 1 + 9 + -8.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 525342397 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 + 75*s**2 - 4*s - 137. Give g(-75).\nAnswer: 163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, 4, -2, -3355 in ascending order.\nAnswer: -3355, -28, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0396 and 6?\nAnswer: -0.2376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -10812000 to the nearest 1000000.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*y = v - 85, 29 = -2*y + 2*v + 19 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 - 6*w**2 + 6*w - 6. Let l be f(-7). Let t(q) be the first derivative of 20*q**3\/3 - q + 4. Is t(l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in 2\/19, 3, 0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, 42, 79, 132, 201?\nAnswer: 286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 5*l + 3*p + 21, 29 = -5*l + 4*p. Sort 2, 1, l in decreasing order.\nAnswer: 2, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1837\/44 - (-3)\/(-4). Suppose -4*r - 2 = -166. Is r bigger than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - 3*y + 180, 5*g - 260 = 65*y - 60*y. Calculate the remainder when 1285 is divided by g.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 167*z = 152*z + 300. Solve -z = 5*b - 10*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -2*y + 6. Let l be 1\/((y\/(-40))\/3). Suppose 5*f = -0*f + l. Solve f*o - 3*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of -v**5\/20 - 5*v**4\/12 + 5*v**3\/6 + v**2 + 9*v. Let f(t) = t**3 + 6*t**2 - 6*t - 2. Give 5*f(n) + 6*x(n).\nAnswer: -n**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1515*z + 1476 = -1509*z. What are the prime factors of z?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -3*p**2 - 98. Let h(r) = -17*r**2. Determine q(h(g)).\nAnswer: -867*g**4 - 98","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -377*l**4 + 5*l + 20 wrt l.\nAnswer: -4524*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/8200 and -111\/820.\nAnswer: 8200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 387*r**3 + r**2 + 334*r wrt r?\nAnswer: 2322","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -317, -404, -645, -1040, -1589?\nAnswer: -2292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2787940?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 2*r = -1204, -5*a = 3*r + 63 - 1546. Let u be 110\/38 + (-8)\/(-76) - -20. What is the greatest common divisor of a and u?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 110111100110111001 (base 2) to base 9\nAnswer: 376386","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 5 + 0)*(1793*f + 83*f**2 - 1793*f) in the form g*f**2 + q*f + b and give g.\nAnswer: -166","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 4*u = 16. Suppose -u*t + 12 = -t. Suppose t*h + 1726184 = -673816. What is h rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 126*63\/675*1020\/(-612).\nAnswer: -98\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 15 = 4*q. Suppose -5*a + 30 = 5*o, 3*a = q*o - 2*o + 2. Suppose -a*s = -0 + 4. Which is greater: -10\/7 or s?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.02929, 3\/7, -3\/5, -61, -3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + v - 7 + 13 = 0, 4*l + 3*v = -18. Solve -197 = -2*p + 2*f - 179, f + 5 = l for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-33))**(-7\/8))**(26\/3) assuming f is positive.\nAnswer: f**(1001\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/q**(-2\/5))**18*(q*q**(18\/5)\/q)\/q**(6\/19) assuming q is positive.\nAnswer: q**(4416\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16976.\nAnswer: 2, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 - 65. Let v = d - -68. Does 7 divide (10 - -1)\/(((-15)\/v)\/(-3))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*n - 13*n - 25*n - 18*n to the form w + c*n and give c.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -3 (b) 3476 (c) -5\/2 (d) -1\/24 (e) 1\/5 (f) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 1 + 2*h - 1. Let y(k) = 755*k**2 - 1505*k**2 + 749*k**2. Determine y(l(o)).\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 81, 3\/2, -3, -0.153675 in decreasing order.\nAnswer: 81, 3\/2, -0.153675, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x**2 + 38*x + 24. Let d(q) = 24*q - 2682. Let k be d(111). Determine i(k).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 0, 3*u - 3*m + 0*m = -3. Let c be -3 + (3 - u*12). Solve -1 = 5*a - 4*a + 2*b, -4*b - c = 4*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15.5 - -16. Let j = 0.2 + -0.1. What is the closest to j in -4, w, -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 36 = -4*p, 3751*p = -3*w + 3720*p - 168 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*t - 12*t + 15*t = -11*t + 28*t. Determine p so that 2\/9*p**4 - 16\/9*p**3 + 0*p + 14\/9*p**2 + t = 0.\nAnswer: 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 130587 and 1621080.\nAnswer: 47011320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 37631399167 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + 26 + -93 + 56 + (-1 - -17).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - 0)\/(8\/16). Let p be u\/(-14)*((-25)\/(-20) - 3). What is the closest to 1 in p, 3, -0.3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 283 = -115*k + 545*k - 577. Solve k*y + 3*m - 21 = 0, 13*y - 16*y + 24 = 3*m for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 14) in base 13?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000005753 rounded to seven dps?\nAnswer: 0.0000058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 481 is divided by 41?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 847 is divided by 122.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 50*g**2. Let v(i) be the third derivative of -i**4\/4 + 4*i**2 - 8*i. Give v(t(s)).\nAnswer: -300*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of -4*l**3 + 75*l**2 + 15*l**3 + 4*l**3 - l - 8 + 0*l**3. Find the first derivative of k(t) wrt t.\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*r - 4108 = -137*r - 1253 + 4975 for r.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of -2*t**3\/3 - 15*t**2\/2 + 509*t. Determine w(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -42*s - 25*s - 25*s. Let i(d) be the first derivative of -3*d**2\/2 + 17058. What is i(x(k))?\nAnswer: 276*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*z**3 + 41*z**3 - 130*z**3.\nAnswer: -20*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6\/11 (b) 1.06 (c) -2\/9 (d) 0.2 (e) -1\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.488688 centuries in millennia?\nAnswer: 0.6488688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1420 and 4298.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 PM and 9:28 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 12:13 AM?\nAnswer: 6:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 13 = -l, 5*h - 835*l + 836*l - 7 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7406 is divided by 1245?\nAnswer: 1181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y - y + 4*y)*(y**2 - 25*y**2 + 7*y**2)*(-20*y**2 + 2*y**2 - 30*y**2).\nAnswer: 1632*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149 is divided by 56.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.8 + 1. Let a = 367 + -367.1. What is the nearest to -0.1 in b, a, 0?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -29854*u**2. Let x(q) = -22*q**2 + 6. Give x(m(v)).\nAnswer: -19607748952*v**4 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.0258839 times -0.4\nAnswer: -0.01035356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2451098187 is divided by 49.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 4*c - 9 = 0, 5*z = -6*c + c - 20. Let l = 1 - z. Solve -l - 1 = 3*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 - 194*d**2 - 6955*d + 12241. Give y(-50).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of -l**4\/6 + 25*l**3\/6 - 9*l**2 + 32*l. Let c be u(10). Let a = -29 + c. Sort a, -3, 7.\nAnswer: -3, a, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0040153348 rounded to five dps?\nAnswer: 0.00402","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**2 - 95646215*a.\nAnswer: -5*a*(a + 19129243)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -86*a**2 + 24*a - 46. Let b be u(2). Let l = 546 + b. What is the greatest common divisor of 36 and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*w + 3*q, -2*w - w + 6 = -2*q. Suppose -2*p + 100 = 96. Let l(o) = 2*o - 8. Let a(r) = -r + 4. Let m(v) = p*l(v) + 5*a(v). Give m(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 3*m - 90. Suppose 3*k - 6*k + m = 0. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -190 divided by -95?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - w = 23, -11*o + 14*o + 101 = 5*w. Is 10 smaller than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38181 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 + 17*k**2 - 11*k - 16. Let w be m(14). Let x = w + -25. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*c + 64*c = -286308. Is 25 a factor of (c\/(-90) - 1\/5) + -1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 880042345 to the power of 1\/3, to the nearest integer?\nAnswer: 958","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -571 times -469176?\nAnswer: 267899496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 112*y - 1451. Give u(13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -10*m - 9. Let r be 6\/3 - 8\/1. Is i(r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38 + (11 + 4 - 19) + -23\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91876.\nAnswer: 2, 103, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 3*z - 24, 2*g + 5*z + 30 = 7*g. What is the units digit of g - -1 - 13247\/(-13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -5*w**2 + 8*w + 7. Let v(p) = p**2 + 2*p. Give i(f) - 4*v(f).\nAnswer: -9*f**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 6131 = -4*f - 4*q, -1535 = -f + q. Does 19 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 40 - (1 + -1 - -1). Let n(v) = -v**2 - 14*v + 29. Let s be n(-17). Let z = s + g. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(175) + sqrt(175)*2*-5 + sqrt(175) + 4*sqrt(175) + -2 + 4 + 2)*-1)**2.\nAnswer: -160*sqrt(7) + 2816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18577939 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -0.01, -1, 0.1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106 - 65 = -3*t. Let r = 12 + -10. Suppose -r*o + 41 = -t. Is 8 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 25706 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of j**4\/24 + 7*j**3\/6 - 5*j**2. Let f = 16 + -3. Let i(u) = -12*u + f*u + 9 - 1. Give -6*i(h) + 7*s(h).\nAnswer: h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1 (b) 0.05 (c) -2\/45 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-2)*1)\/((-41 - -4)\/(-703))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2105154113 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -4*m**2. Let d = -30 + 32. Let h(a) = -12976*a + 12976*a + 3*a**d. Calculate h(c(o)).\nAnswer: 48*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 6*t + 8. Let m(o) = -o - 1. Let d(i) = 8*m(i) + y(i). Let k(l) = 6*l + 2*l - 7*l + 0*l. Determine k(d(r)).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -94 - -98. Factor -2*i**2 - i**5 + 0*i**2 - 3*i**2 + i**u + 3*i**3 + 2*i.\nAnswer: -i*(i - 1)**3*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, 5, -8, -3 in increasing order.\nAnswer: -8, -3, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o + o + 2*o**2 + (-o + 2*o + 4*o)*(2*o - 5*o + o) - o**2 + 2*o**2 + o**2 to z + k*o**2 + p*o and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 27*v. Let g(o) = 11*o. Let j(z) = 2*c(z) - 5*g(z). Calculate j(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 2*d + d. Suppose 2*q - d = 18. Let w = q - -4. Is w a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90 - 14*r**2 + 0*r - 35 + 0*r.\nAnswer: -14*r**2 - 125","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51ac (base 13) to base 7.\nAnswer: 44635","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand z**4 + 3*z**4 - 3*z**4 + (-4*z + 2 - 2)*(40*z + 2*z**3 - 7*z - 478*z**2 + 477*z**2) + (3*z - 6*z + z)*(-z**3 - z**3 + 0*z**3) + 5 - 5 + 9*z**4.\nAnswer: 6*z**4 + 4*z**3 - 132*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.22 + -120.22. Let r = -119.49 - v. Round r to 1 decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 11:17 AM?\nAnswer: 6:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in twenty-one halves of a micrometer?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 68315 and 17030.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1010 - -1039. Calculate the remainder when -2*(1 + (-85)\/2) is divided by z.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1408 and 341792?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.47 - -18.03. Let f = w - 21.883. Round f to one dp.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of -w**8\/336 - 9*w**7\/70 + w**4\/8 + w**3\/2 - 68*w**2. Find the second derivative of f(u) wrt u.\nAnswer: -20*u**3 - 324*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of q**3\/3 + 3. Let y(a) = -2*a + 0*a - 3*a. Calculate n(y(t)).\nAnswer: 25*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00310032 to 5 dps.\nAnswer: -0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + 9. Suppose 5*j = -5*l - 25, -l - 25 = 2*l + 5*j. Let h = 899\/45 + -101\/5. Sort h, l, a in descending order.\nAnswer: a, l, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 52 + -25. Let g = c - 2. What is the greatest common divisor of g and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 17578, 17554, 17514, 17452, 17362, 17238, 17074, 16864?\n\"Answer: -i**3 - 2*i**2 - 11*i + 17592","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*g - 296501 = -296629. Solve -24\/11*p - 18\/11*p**g + 6\/11*p**3 + 0 = 0.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f - 6. Let b = 49 - 54. Let v be (-1 - (b + 3)) + -1. Determine q(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 29 = 69*q + 70*q - 145*q, -3*x + 87 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - 14 + 18. Let r(i) = 3*i**2 - i. Let o be r(b). Let f(h) = h - 7. Let d(x) = -1. What is o*f(w) - 14*d(w)?\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 3:56 PM?\nAnswer: 3:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/((-3)\/3) + -8. Let b = 128 - 130. Sort 4, b, -1, v in decreasing order.\nAnswer: 4, -1, b, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of -j**6\/360 - 7*j**5\/120 - j**4\/6 - j**3\/2 - j**2. Let r(p) be the first derivative of n(p). What is the units digit of r(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 1 = -4*d. What is the second smallest value in 0.07, d, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i + 0*i + 2*i + (-2 - 1 + 4)*(-3 + 4*i + 3) - 2*i + 2*i + i - 2.\nAnswer: 7*i - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 25 = -4*d, 3 = -3*r + 3*d - 0*d. Let m = 8 + 3. Suppose h - 2*h - 7 = -4*o, 0 = -5*o - h + m. Solve o*q - 1 = r for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 0. Let s = 232227\/5 + -46271. Let b = -174 + s. Sort b, 2, q.\nAnswer: q, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6193.5 + 6193. Which is the fourth smallest value? (a) p (b) -2 (c) 4 (d) -2.72 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -0.3 (b) 0.2 (c) 17627 (d) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 33 and 192.\nAnswer: 2112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 30.8 + -28.8. Let l = -0.3 + 0.1. Let p be (8\/14)\/(2\/(-7)) + 2. What is the closest to -1 in q, p, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 divided by 611?\nAnswer: 28\/611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28876998?\nAnswer: 2, 3, 19, 253307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 19c3e (base 16) to base 7\nAnswer: 616452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 7, -7, -69, -203, -433, -783, -1277?\n\"Answer: -4*v**3 + 14*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -1095*q - q**2 + 2 + 1094*q - 3. Let y(x) = x**2 - 2*x. Determine t(h) - y(h).\nAnswer: -2*h**2 + h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of s**3 - 3*s**2\/2 - 5*s + 2. Suppose -4*n - 21 = -1. Is v(n) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of u**5\/5 - u**3\/3 + 5*u. Find the second derivative of o(l) wrt l.\nAnswer: 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/7, -7, -20, 0.085 in ascending order.\nAnswer: -20, -7, 0.085, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -51*l - 93*l - 45*l - 1 + 27*l - 2 as b + x*l and give x.\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is sixteen ninths of a hour in seconds?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 AM and 2:16 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/(-12))\/(105\/(-18)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, 5, 4, 560.\nAnswer: -4, -3, 4, 5, 560","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11278650 is divided by 3759522.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = -5*b - 7. Let c be (2 + -6)*2\/b. Let f be -1*(3 - 12\/c). What is the greatest common factor of f and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -5*g**2 - 2*g - 3. Let n(m) = -4*m**2 - 2*m - 2. Let i(l) = 6*n(l) - 5*p(l). Let y(x) = x**2 - 3*x + 4. Give 3*i(b) - 2*y(b).\nAnswer: b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 163.146 rounded to zero dps?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -16*c. Let m(t) = t. Let q(x) = -x**2 - 5*x. Let k(l) = 5*m(l) + q(l). Give y(k(p)).\nAnswer: 16*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.5 greater than -1.981?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2160 - 2141. Suppose -2*g = 3*g - 10, -225 = -3*m - 3*g. What is the remainder when m is divided by n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 21*((-14)\/6 + 2). Let p(y) = y**3 + 6*y**2 - y + 11. Let k be p(c). Let v = k - -36. Solve -8 - 12 = v*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) -89 (c) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 38 in 0.5, -0.5, -1\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 - 6*z + 5. Let m = 5 + -10. Let c be n(m). Suppose -2*r = 4*b - c, 4*b + 5*r = -0 + 1. Solve -b = 5*p + 1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 477 - 476.9. Let j = h + -1.7. Put 3, 0, j, -1\/3 in increasing order.\nAnswer: j, -1\/3, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*b + 55*b - 56 = 3*w, 0 = 5*w + 4*b + 81 for w.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 4752 divide 256783353?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 divided by 253?\nAnswer: 42\/253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -14050 rounded to the nearest one thousand?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 597 and 2211487?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/3, -1\/37376, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.24603 rounded to one dp?\nAnswer: 16.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 155 divide 1338270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3665173?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -192 - -202. Let c(n) = p*n**2 + 20*n**2 - 31*n**2 + 4*n - 3. Suppose 3*z + 14 = 5*z. Give c(z).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 - 8*v**2 - 7*v - 3. Let z be a(9). Let i = -5 + z. What is the least common multiple of i and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13171 = 3*r - 2*s, -18*r + 2*s = -21*r + 13199. List the prime factors of r.\nAnswer: 3, 5, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 133 and 15.\nAnswer: 1995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((5*sqrt(76)*-1)\/(sqrt(64)*-1))**2.\nAnswer: 427\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d**2 - d. Let h be r(-5). Let c = 92 - h. Suppose -4*y + c = 5*s, -3*s + 4*s + 2*y - 5 = 0. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28416.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of g**6\/160 + g**5\/40 + g**4\/32 - 2*g**2 - 4. Let j(f) be the second derivative of s(f). Find d such that j(d) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*f - 16*f - 16*f)*(f - f - 2*f) - 2*f + f**2 + 2*f)*(-8*f**2 - f**2 - 2*f**2).\nAnswer: -715*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11.059 + -0.141. What is y rounded to zero decimal places?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*c**3 - 613 - 5*c**2 + 6*c**2 + c**2 + 17*c**3 + 603 as v*c**2 + h*c + k + m*c**3 and give k.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t + 7. Let z = 4 + 1. Suppose -d + 3*y + 6 = 0, -6*d + z*y + 10 = -d. Is b(d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -7*v**3 + 8*v**2 - 9*v + 14. Let u(f) = 3*f**3 - 4*f**2 + 4*f - 6. Let k(a) = -2*h(a) - 5*u(a). What is k(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21 - -27. Solve 4*n = 2*n + s for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -112, -4666, -17014, -41050, -80668, -139762, -222226?\n\"Answer: -649*u**3 - 3*u**2 - 2*u + 542","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.008448834049 rounded to 7 dps?\nAnswer: -0.0084488","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 414092191 - -47769?\nAnswer: 414139960","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -397*a**2 - 174*a + 95806 wrt a?\nAnswer: -794*a - 174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 424 and 186612.\nAnswer: 19780872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 - (-3232011)\/(-1)*(-140)\/60. Let u = 55458640 + t. What is u rounded to the nearest one million?\nAnswer: 63000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 6 = -c + 4, 0 = -3*c - 2*a - 4 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (44\/77)\/(2\/1). Let v(w) = -w + 15. Let g be v(13). Suppose -4*h - 6 - 4 = -g*m, 10 = -m - h. Which is smaller: m or l?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10216010339 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 176396 + -119675\nAnswer: 56721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 4 - 6*c**2 + 6 + 5*c**2 - 9 + 2*c. Let x be (4\/42)\/((-14)\/(-84))*7. Give l(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16614 or -16612?\nAnswer: -16614","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -4*d**3 - 2*d - 3. Let l be p(-1). Find m, given that 356*m**2 + 6*m**3 + 18*m**3 - 4*m**l + 5*m**4 - 461*m**2 = 0.\nAnswer: -7, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 28473118*a**3 + 2*a - 4126951 wrt a.\nAnswer: 170838708*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -2\/213?\nAnswer: -2\/213","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87 is divided by 77?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-16)\/6*465\/(-10). Suppose -7*l - g = -89. Which is smaller: -17 or l?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of -a**5\/330 + a**4\/66 + 3*a**2\/2 - 3*a. Let k(r) be the first derivative of o(r). Determine h, given that k(h) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 + 1 + -3 + 3. Let p be ((-2)\/(-3))\/(2\/15). Suppose -p*f + 4*a - 56 - 29 = 0, -3*f - y*a - 14 = 0. Which is smaller: -14 or f?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 248 (b) -5 (c) -0.4 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 68 + -67. Let f be (-8)\/(-6)*(-18)\/(-4). Let o(c) = -c**2 + 5*c + 7. Calculate the remainder when d is divided by o(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -37.504634 to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 14 + 430. Calculate the remainder when m is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 3*u + 6. Let p(y) = 206*y - 18. What is 4*n(f) + p(f)?\nAnswer: 218*f + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i - i + 4*i + (i + 0*i - 5*i)*(0 - 2 + 0))*(0*i + i + 3*i).\nAnswer: 36*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, 52, 2 in decreasing order.\nAnswer: 52, 2, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 3*o - 10. Let i(x) = x**2 + x - 1. Let l be i(2). Let m be y(l). Let t = -2 + m. Solve 4*w + 26 = -t*z, 5*z - 10 = 2*w + 2*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 13, -0.83, 9?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + 122\/(-13) + 4 + -5 + -1 + -5.\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + 3\/6*68. Let u = r + -22. List the prime factors of u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - u = 33, -5*f + u = 2*u - 37. Let b = f - 2. What is the third derivative of -4*x**5 + 4*x**2 - 2*x**2 + 5*x**b + 0*x**2 wrt x?\nAnswer: 60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - r + 12. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 1 + 1 + -10 + 7?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -917 - -1790. Suppose 1183 = 5*p + 2*z, 4*p = 3*z + 55 + k. What is the units digit of (-2)\/5 - p\/(-25)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 5*t**2 + 3*t - 5. Let n(x) = -x**2 - 32*x + 100. Let h be n(3). Let w(m) = -6*m**2 - 4*m + 6. Give h*y(g) - 4*w(g).\nAnswer: -g**2 + g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - a + 2*a**4)*(-2*a - a + a) + 3*a**5 + 0*a**5 - a**5 + (5 - a - 5)*(25*a + 10*a + 6*a)*(6*a**3 - 3*a**3 - a + 0*a).\nAnswer: -125*a**5 + 41*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -5*x**3 + x**2 - 2*x + 1. Let w be b(1). Let j = 1431 + -1429. Put j, w, 1 in decreasing order.\nAnswer: j, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1671d10 + 4?\nAnswer: 1671d14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 5 + 17 = 0. Let z = -1 + 1. Put t, -4, z in decreasing order.\nAnswer: t, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -240, -238, -236?\n\"Answer: 2*x - 242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 105440*d + 32974 wrt d?\nAnswer: 105440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.89748185 rounded to three decimal places?\nAnswer: 0.897","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 24.868 times 3\nAnswer: 74.604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 2*f + 4 - 8, -2*f = 3*o - 6. Which is the third smallest value? (a) o (b) -1\/2 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -72.3093 - -0.0084.\nAnswer: -72.3009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -40*z**2 - 1445*z - 315. Let q(u) = 7*u**2 + 255*u + 56. Let d(x) = 8*g(x) + 45*q(x). Factor d(r).\nAnswer: -5*r*(r + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*t - 5. Let f(s) = s**2 - 4. Let a be f(t). Solve a*p + 12 = 2*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 14 + 19. Let r = d - 8. Let c(j) = -2*j - 3 + r. Let o(i) = 4*i. Give c(o(f)).\nAnswer: -8*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 366424 and 9529272?\nAnswer: 2248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/15*42\/(-44) - 84\/462?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*u + 2*u**2 + 9*u**4 + 8*u - 10*u - u**3 in the form k*u**4 + r*u**3 + s + l*u**2 + m*u and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -63 - -70. Let -o*u + 8 - 4*u - 4*u**2 - u + 12*u**3 - 14*u**4 + 10*u**4 = 0. Calculate u.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 967011689.\nAnswer: 7, 103, 1341209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 444 and 69276?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 8, c: 2, k: 7, r: 1}. What is prob of sequence rck?\nAnswer: 7\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2028 and 346909173?\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9978817 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/220 and 157\/23626086?\nAnswer: 236260860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -3*h**2 - 36*h + 795. What is o(18)?\nAnswer: -825","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 14*k - 17. Let b(f) = -f. Let v be b(-7). Let o be y(v). What is the highest common factor of o and 54?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17728, -35422, -53100, -70762, -88408?\nAnswer: -106038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.06149218 to 2 dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1838 - -1895 - (0 - (-2 - -14))\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -20174*x**3 + 539*x**2 - 539*x - 539. Let m(f) = -75*f**3 + 2*f**2 - 2*f - 2. Calculate -2*c(p) + 539*m(p).\nAnswer: -77*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7367, 7370, 7377, 7388, 7403?\nAnswer: 7422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 112760 and 14372.\nAnswer: 405146680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.13 + -1.313\nAnswer: -1.443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9031 rounded to two decimal places?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/4)\/z)**(-2\/47) assuming z is positive.\nAnswer: z**(5\/94)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + (-24 - -5 - (15 - 17)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 498 a factor of 14421084?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4, -33, -86, -163, -264, -389, -538?\n\"Answer: -12*m**2 + 7*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 PM and 12:06 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11001100000100000 - -1000?\nAnswer: 11001100000101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 11, u: 2}. Give prob of sequence us.\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 7, 0.08, -6\/5, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 - 289*x - 2646. Let i be w(-10). Sort i, -12, 5 in descending order.\nAnswer: i, 5, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2454227 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 83345 - 2260. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = i - 2*o, -2*o = 102*i - 142 - 227 - 341 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 8486, 8488, 8500, 8528, 8578, 8656?\n\"Answer: x**3 - x**2 - 2*x + 8488","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 178130 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-377425)\/12175*(-1)\/1.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s - 23. Determine k(-11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(16\/21))\/(12 - ((-28620)\/(-48))\/53).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22573 + -22558. Let j = -68 + 95. Calculate the remainder when j is divided by k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 2\/15, 3, 1, 2.01, -3\/4, 76?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of -v**5\/5 + v**4\/6 - 17*v**3\/6 - 14*v**2. Let b(c) be the first derivative of u(c). What is the units digit of b(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11869\/12 - -1957\/2. Suppose 4 + 0 = 2*c. What is the common denominator of (-51)\/6*(-1)\/c and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (17 - (-4 - 0)) + -5 + 2. List the prime factors of (-506)\/(-7) - v\/63.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 (base 7) in base 9?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4361 and 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*c + 10*c + 41*c - 337*c + 120*c.\nAnswer: -142*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = 4*v - 10, -2*a + a = 3*v - 13 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 102 + -48. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 - 9. Suppose -3*i = i + 12, -3*i = k*w - 139. Suppose w + 147 = 4*j. What is the remainder when j is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -0.1 (b) -2 (c) -1 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3150, -12466, -27958, -49626?\n\"Answer: -3088*y**2 - 52*y - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15941 is divided by 759?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of 17*f**5\/5 - 28*f**4\/3 - f + 62. Find the third derivative of n(t) wrt t.\nAnswer: 408","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-904)\/(-14916)*(-6)\/1?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 200 - 140. Let h(y) = -y**3 - 22*y**2 - 107*y + 30. Let g be h(-15). Do g and x have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 - 3513*v + 24657. What is q(7)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 6) to base 14.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/72 and 1147\/(-198) + (-72)\/(-396).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 28*j**2 - 9*j - 73. Let x(l) = 10*l**2 - 3*l - 26. What is 6*r(z) - 17*x(z)?\nAnswer: -2*z**2 - 3*z + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of -9\/2*u**2 + 0 - u**3 - 5*u - 1\/12*u**4. What is y in k(y) = 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**11\/c)**(1\/34)\/((c*c**3\/c*c)\/(c**(1\/3)*c)))**(-8\/3) assuming c is positive.\nAnswer: c**(968\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 26? (a) -4 (b) 2\/7 (c) 0.17 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 7 - ((67 + -77 - (-46 - -1)) + 1 + 9)\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3621*r = -1191*r + 423456 for r.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25917 is divided by 80?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7847563?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-33)\/(-44)*(-132)\/11.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of g**4\/4 + 8*g**3\/3 - g**2 - 11*g - 3. What is the units digit of l(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, 2\/65, -1\/3, 4\/5, 4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/26266 and 58\/69?\nAnswer: 78798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 90.7 - 91. Let m(f) = -f + 1. Let j be m(3). Sort -0.5, j, d in increasing order.\nAnswer: j, -0.5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 - 12*k - 1938. Give i(44).\nAnswer: -530","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25 - 17. Let o = -4 + d. Solve -o*f = -5*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 1\/10*w**2 - 1\/2*w + 2\/5 = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 - 35 = -15*o. Suppose -o*h = 234 - 254. Solve 0 = -h*q + 6 + 2 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of -t**3\/3 - 2. Let b(j) be the third derivative of 5*j**2 + 0*j**3 + 7\/4*j**4 + 0*j + 0. Calculate b(w(k)).\nAnswer: -42*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6128450.73 rounded to the nearest 100?\nAnswer: 6128500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = -18*l + 135*y + 615, 0*y + 20 - 12 = -2*y for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1314444355 + 4*s**2 - 1314444355.\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 2 = 5*i - 4, -1 = 5*i - 2*z. Let r = 6 + -3. Calculate the lowest common multiple of i and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -3.5 (c) -3\/8 (d) 1 (e) -2\/11 (f) -1\/151\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(18)\/(sqrt(36)*-5 + sqrt(9)) + (sqrt(198)\/(-2*sqrt(11)))\/sqrt(9) - ((3*sqrt(24)\/sqrt(4))\/sqrt(3) + -3)**2*-4).\nAnswer: -1307*sqrt(2)\/18 + 113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 15*w - 11. Let m(r) = 23*r - 17. Let a(h) = 5*m(h) - 8*o(h). Let n be a(6). Let q = n - -43. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 898846.\nAnswer: 2, 13, 181, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a - 2 + 5*a**3 - 17*a**2 - a + 76*a**2 - 29*a**2 - 33*a**2 to the form i + l*a**3 + z*a**2 + c*a and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5\/6 (b) 1 (c) -0.06 (d) -0.88 (e) 11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 11*w - 17*w + 0*w + 5*w. Let t(i) be the second derivative of -i**4\/6 - i. What is t(c(d))?\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -157\/1279386 and 97\/345780.\nAnswer: 12793860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 125*n**2 - 3 + 28*n**3 + 33*n**2 - 161*n**2 to the form p*n**3 + f*n + b*n**2 + i and give p.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(405) + 0))**2 + 5.\nAnswer: 14585","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 673610029 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, p: 3, x: 2}. Give prob of picking 2 q.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*a - 0. Let s = 64 - 63. Sort a, s, 3, 11 in decreasing order.\nAnswer: 11, 3, s, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 16, -2*j - 20 = -3*h - 0*h. Let t be 11 + 3 + 3 + -4. Suppose n = 5*z - h - t, -4*n = -5*z - 7. 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 the next term in -1063, -1048, -1025, -994?\nAnswer: -955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -77, -49 in increasing order.\nAnswer: -77, -49, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 - 618\/(2 + -5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -87.1744043 + 87.17. What is t rounded to 5 decimal places?\nAnswer: -0.0044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10\/219 - 607\/1095. Which is the closest to 3\/5? (a) 0.4 (b) 0.3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 7. Let g(a) = -a + 1. Let h be g(n). Sort -2\/11, h, -3 in increasing order.\nAnswer: -3, -2\/11, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 - 1 - (-59 - -86)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.04 + -0.96. Let a = l + 0.2. Let h = -0.4 - a. What is the biggest value in 0.3, h, -5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 - (-1 - (43 + -7)) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(3\/4)*o)**47\/((o\/((o\/(o**(5\/4)\/o))\/o)*o)\/o**10) assuming o is positive.\nAnswer: o**90","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(153) + (-1*sqrt(153) - sqrt(153)) + 4)*-1 - (((2 + sqrt(153))*1 - (0 + (sqrt(153) - -2*sqrt(153)))) + -1))**2.\nAnswer: -108*sqrt(17) + 1413","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 5*g + 26 - 68, 0 = -3*s + 5*g + 106. Let f be 6\/s*(-20)\/(-30). Let t(m) = m**3 - 3*m**2 + m - 3. Let u be t(3). Which is smaller: u or f?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2554 is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2852525379759 take away -2?\nAnswer: 2852525379761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 379191?\nAnswer: 3, 126397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 151307?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -124 + 180. Let o = -146 - -92. Let h = o + m. Solve -h*u = -3 + 13 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 i when two letters picked without replacement from {z: 1, i: 12, x: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 670207?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 324716476?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -8b (base 13) to base 8\nAnswer: -163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 1:33 PM?\nAnswer: 7:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -7) + -5 - (0 - 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-140)\/16 - -6) + (6 - 2). Let k = 6.4 - -1.6. What is the second biggest value in k, 5, y?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 59 = -1803*l + 1805*l, 5*h = 2*l - 77 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 p, and 1 e when three letters picked without replacement from {q: 4, d: 2, e: 1, p: 4, i: 1, a: 3}.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 2:42 PM?\nAnswer: 1:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(945\/(-20))*6\/(-4)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 68*j**2 - 2*j + 2792 wrt j.\nAnswer: 136*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 117389 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0*3\/(-6) - 3. Let g be a + (2 - 2) + -387. Round g to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -164 divided by -41?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -8*m**2 + 9. Let v(l) = -3*l. Give v(y(j)).\nAnswer: 24*j**2 - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 4*v + 5 = 0. Suppose -23 = -2*x + v. Let c = 1032 + -964. Calculate the remainder when c is divided by x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -42244*u**2. Let d(k) = 2*k. Determine y(d(q)).\nAnswer: -168976*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3211100323 (base 4) to base 6.\nAnswer: -32043311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -4 - 10*r - 3*r + 0 + 1. Is o(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 27 = f, -3*y + 49 = 2*y - 3*f. Calculate the greatest common factor of 2 and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*w - 24*w = 43*w + 36*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -8, -27, -58, -107, -180, -283?\n\"Answer: -c**3 - 12*c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 396285 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pw when two letters picked without replacement from {w: 4, u: 6, p: 1}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.9859 rounded to 2 decimal places?\nAnswer: 1.99","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 + -11. Let b be (t + -1)*(4 + 0). Suppose -b*c + o = -1048, 3*c + c = -o + 1056. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 - 23*k + 132. Let t be x(13). Let a(l) = -16*l + 18. Let o(q) = q - 1. Give t*a(u) + 36*o(u).\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (23\/(207\/(-594)))\/(-2 - 720\/(-363)) a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19 + 40. Calculate the remainder when 14\/d - 112\/(-3) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 + (-1 - (-3 + 1)). Suppose -2*u + 2*c + 2 + 22 = 0, o*u = -c + 84. What is the first derivative of u*p**4 + 0*p + 2*p - 12 - 2*p wrt p?\nAnswer: 64*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -405006115 - 0\nAnswer: -405006115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 + 9*q**2 + 7*q + 5. Let r(u) = -u - 30. Let s be r(-25). Let d be k(s). Let m = d - 65. Solve 5*w + 2*p = -0*p - 25, 0 = m*p for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 + 17*c**2 - 103*c + 46. Determine s(-22).\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 + -24. Let y be (-7)\/21 + 82\/r. Let x = y - -19. Solve d = 3 - x for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44201, 44199, 44197, 44195, 44193?\nAnswer: 44191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 79859017 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) -2\/15 (c) 36.3 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 PM and 2:19 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 50738423 rounded to the nearest one hundred thousand?\nAnswer: 50700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 437669 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(144) - -2*sqrt(144))*2)\/(sqrt(84)\/(sqrt(28)\/sqrt(4))).\nAnswer: 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 5*w = -3*x + 33, -w + 2*x = -17. Solve w + 7 = -4*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of -l**6\/6 + 13*l**5\/5 - 29*l**4\/2 + 106*l**3\/3 - 85*l**2\/2 + 25*l + 53. Determine n so that b(n) = 0.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*u - 8*u + u)*(2*u**3 - u + u) + 115 - 115 + 3*u**4 - u**4 + 0 + 0 in the form g*u**2 + o*u**4 + i + d*u**3 + z*u and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 88.73 from 0.\nAnswer: -88.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7\/2 of a meter?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.88 + -2. Let v = s + -7.88. Let l = v - -4. Which is the biggest value? (a) 1 (b) l (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -68082144*s. Let q(o) = -5*o**2. What is q(a(k))?\nAnswer: -23175891658183680*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.974472 decades to years.\nAnswer: 89.74472","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.06 and 1858.\nAnswer: 1858.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3240)\/(-300) + -13 + 2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(204)\/(sqrt(48)\/sqrt(4)) + (-3 + sqrt(34)\/sqrt(2) + sqrt(17))**2 + sqrt(51)\/(sqrt(75) - (sqrt(75) + (sqrt(75)*-1 - sqrt(75)) + sqrt(75))).\nAnswer: -54*sqrt(17)\/5 + 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-26)\/169 + (-5817)\/(-39). Let o = b + -146. Solve -5*k - 2 = 4*f + o, -4*k + 3*f + 27 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(468) + sqrt(468)*1 - sqrt(468))*-4*-5 + 5 - (sqrt(468)*4*1 - -1*sqrt(468)*-1))**2.\nAnswer: 1020*sqrt(13) + 135277","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z**(-5\/4)*z))**33\/(z**(-21)*z**(-5\/8)))**(-2\/13) assuming z is positive.\nAnswer: z**(-503\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of n**8\/168 - n**6\/60 - 191*n**5\/60 - 71*n**2. Find the third derivative of b(l) wrt l.\nAnswer: 120*l**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y + 3*y + 1407 = 2*z, y + 2*z = 283. Calculate the lowest common multiple of y and 4.\nAnswer: 1124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*w = -28*w + 5. Let c be (-6)\/15 - (-3)\/(-5). Let b = -2 - 1. Put b, c, w in decreasing order.\nAnswer: w, c, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6080*n = -6182*n - 2346 for n.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 33 - 44. Is o less than or equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8270*t**2 + 2744*t**2 + 2752*t**2 + 1943*t**3 + 2774*t**2.\nAnswer: 1943*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 3:26 PM?\nAnswer: 11:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 + 5. Let d = -6 - q. Let w = 4 + d. Which is the biggest value? (a) -4 (b) -3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (25 - 37) + (8 - -16) + 11?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10 * 40752245.\nAnswer: -407522450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m*m**(1\/26)*m*m)**(2\/69)\/(m\/(((m\/((m\/m**34)\/m))\/m)\/m*m)*m**17) assuming m is positive.\nAnswer: m**(14483\/897)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73285?\nAnswer: 5, 14657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.6953713m?\nAnswer: 695371300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*h*k**3*x + 20*h*k**3 + 12*h*x**2 - 8*k**3*x**2 + 40*k*x**2 + 50*k*x wrt k?\nAnswer: 18*h*k*x + 120*h*k - 48*k*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 73? (a) -1\/9 (b) 5 (c) 2\/5 (d) 9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 0.42?\nAnswer: -0.126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 567, 569, 571?\n\"Answer: 2*o + 565","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -13 (b) -8.9 (c) 8 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 6:32 PM?\nAnswer: 9:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 5 - 2)*(4*v - 2*v - 3*v)*(-16 + 7 - 30) as s + z*v and give z.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11239 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 502441 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -804, -1619, -2434, -3249, -4064, -4879?\nAnswer: -5694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24 - 22. Let y = -24 + 42. Suppose 4*t = m*c + 2*t - y, 44 = 5*c - 4*t. Solve 0*i + 2*i + c = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a - 11*a + 58 = -4*w, 3*w = 3*a - 84. Suppose a*m = 5*s + 24*m - 7, 0 = 2*s + 3*m - 7. Factor -8\/5*v**s - v**3 - 1\/5*v**4 + 0 - 4\/5*v.\nAnswer: -v*(v + 1)*(v + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 210521?\nAnswer: 31, 6791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4658292?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -61926*v**4 + 2172*v - 9?\nAnswer: -743112*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -223*i - 3. Let p(r) = -38*r. Determine p(f(q)).\nAnswer: 8474*q + 114","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 271186541 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.5 and -2031679.\nAnswer: -2031679.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.502 + -763.998. Let m = 1027 + x. Round m to the nearest ten.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -64*p - 9262. Let m(s) = 2*s. Determine k(m(n)).\nAnswer: -128*n - 9262","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(1700) + 0 + sqrt(1700) + sqrt(17)*1*-2)*-3 - (sqrt(204) + (sqrt(204)*-2 + sqrt(204))*5 - sqrt(204))\/(-5*sqrt(48))).\nAnswer: -109*sqrt(17)\/2 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1\/3, 11 in increasing order.\nAnswer: -1\/3, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 - 0. List the prime factors of z\/12 - (-62)\/4.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 34*v + 2. Let s = 46607 + -46607. Let l(g) be the third derivative of 39*g**2 + 0*g**3 + s*g - 1\/12*g**4 + 0. Calculate l(y(f)).\nAnswer: -68*f - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*u**2*x**3 - u**2*x**2 + 2*u**2*x - 682*u**2 + 4*u*x**3 - 167*x**3 - 238*x wrt u?\nAnswer: -6*x**3 - 2*x**2 + 4*x - 1364","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 63837450?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 10 - 31*s + 5*s**2 + 30 - 14*s = 0. Calculate s.\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -j**2\/3 - 110*j - 26264\/3 = 0. What is j?\nAnswer: -196, -134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -4183 divided by 36420?\nAnswer: -4183\/36420","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, w: 8, v: 3, a: 1, o: 1, q: 2}. What is prob of picking 1 p, 1 q, and 1 w?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 17698723 and 2257?\nAnswer: 654852751","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 + -30 + (3 + -3 - 3).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-43850148)\/(-15))\/(6\/(-45)). Let n be (2 + 1702236\/(-9))*-237. Let t = n + s. What is t rounded to the nearest one million?\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -x, -z + 5 - 3 = 2*x. Let w be z\/(-24) - (-6)\/24. Let i = -2\/75 - 221\/150. What is the second smallest value in i, w, 3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1212111211131 + -12?\nAnswer: 1212111211113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*o**2*x**5 + 10*o**2*x - 3*o**2 - 3131*o*x**5 - 2*o*x - 18*o wrt x.\nAnswer: -40*o**2*x**3 - 62620*o*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4 - (4 - (-96)\/(-20))\/(12\/9510). Calculate the highest common factor of i and 336.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 214065193 is divided by 16.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -249176, -497364, -745552, -993740, -1241928?\n\"Answer: -248188*w - 988","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 5) to base 11\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/4))**(3\/38)\/(v**(-2\/5))**(-1\/7)*(v\/v**(1\/3)*v**(-9))**(-30) assuming v is positive.\nAnswer: v**(1329591\/5320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -8*y + 67. Give d(9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 5021559 = -5*x - 85902764, 0 = 2*x + 5*f + 32352488. Let u = x + 6851239. What is u rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 49 and 45797752?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (336\/12 + -31)\/(0 - 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-170))\/((-14010)\/31756)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 21045 - 177426466.\nAnswer: -177405421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-12 + 3) - (11 - 4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20*c*k**2*u**2*w - 2*c*k**2*w + 2*c*k*u*w - 30*c*u**2*w + 2*c*w + 2*k**2*u*w + 406*k**2*u - 2*k**2*w + 9*k*u**2*w wrt u?\nAnswer: -40*c*k**2*w - 60*c*w + 18*k*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 403870, 403895, 403926, 403963?\nAnswer: 404006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of d**4\/18 + 6*d**3 + 80*d**2\/9 - 9887. Solve j(l) = 0 for l.\nAnswer: -80, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6304.2 to the nearest ten.\nAnswer: -6300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.342 + -6.502. Let a = x + 1.06. Let c = 5.0904 + a. Round c to three dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2093836*i**4 - 2395200 wrt i.\nAnswer: 8375344*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1311871, 2623741, 3935613, 5247487, 6559363, 7871241, 9183121?\nAnswer: 10495003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7678787 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*b = 71*b + 2*f - 5, 2*f = 5*b - 7. Solve 2*i + 6*l - 9*l = -10, -i = -b*l + 5 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q + 30 - 30 - 12*q**2. Let o(z) = -z**2. Let h be (-2)\/7 - (-312)\/14. Let k(a) = h*o(a) - 2*s(a). What is the second derivative of k(b) wrt b?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0013171 rounded to 4 dps?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2186 + 2049.2186. Let r = -2048.95997 + g. What is r rounded to three dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 - 9)\/(2 - 4). Let c = -6 + 9. Suppose c*r - x - 16 = -2*x, 0 = 3*r - 4*x + 4. Is r smaller than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.269 + 0.019. Which is the closest to 1? (a) 9 (b) 1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3185000 to the nearest 100000.\nAnswer: -3200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddfdddddddffdffdd. Give prob of sequence ffd.\nAnswer: 65\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 7, 1, -5?\n\"Answer: -6*i + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22 + -18. Let l(m) be the first derivative of 6 - 2*m**2 + 2*m**j + 0*m**3 - 2\/3*m**6 + 0*m + 0*m**5. Solve l(x) = 0 for x.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 + -2 + (-689)\/39. Let i = -23 - b. Let u = -2 + 1. Is i at least as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xr when two letters picked without replacement from rooovooraffofroxxrro?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -6 - -10 - (2 - -6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 379\/((-12)\/(-8 + -4)) is divided by 91.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*i**4*p + 251*i**3*p**3 - i*p**2 - 3*i - p**3 - 2*p**2 wrt i?\nAnswer: 144*i**2*p + 1506*i*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-3) - 11\/(-3). Let r be ((-88)\/825)\/(2265\/175 + -13). Is r at least as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 + 13*u + 5. Let c(m) = 2*m**2 - 25*m - 9. Let l(f) = 6*c(f) + 11*d(f). Let j be -24*1\/((-28)\/7). Give l(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t - 6*t - t.\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of -n**4\/12 + 15*n**2\/2 - 2*n. What are the prime factors of f(0)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1172.5*0.1.\nAnswer: -117.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5*3203)\/(2 + -3). Let b be ((-448226)\/(-6))\/(((-1862)\/(-21))\/(-19)). Let g = b + z. What is the common denominator of g and 89\/8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10344581.\nAnswer: 13, 795737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -33*i + 55. Let d(g) = -4*g**2 - 2*g - 1. Let k be d(-1). Is t(k) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-3)*y*y*y**(-4)*y)\/((y**3\/y*y)\/y**(3\/2))*(y\/y**(2\/5)*y*y**(-5\/4))**8 assuming y is positive.\nAnswer: y**(-27\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11082, 11084, 11086?\nAnswer: 11088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -5910.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - i - 306, -2*k + 4*k - 5*i = 104. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a4 - -229?\nAnswer: 2cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 97*z - 13 = -102*z, -r + 4 = -4*z. What is the second biggest value in 216, r, 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 17 - 1\/(-2)*2. Suppose -4*t + j - 33 = 0, -b - 12 = 3*t + j. Let p be (-953998)\/(-9) + (-2)\/t. Round p to the nearest ten thousand.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 - ((-19 - 32) + 23).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4601142 (base 7) to base 2.\nAnswer: -10001011100111010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w + 2*w + 0*w)*(5 - 1 - 2)*(-w**2 + 5*w**2 + 2*w**2).\nAnswer: 24*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(1\/2)\/g**(2\/11)*((g\/((g\/(g*g**5))\/g)*g)\/g)\/g**7 assuming g is positive.\nAnswer: g**(7\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + k)*(3 - 3 - 2*k**2) + (k - k - 2*k)*(28*k**2 - 10*k**2 - 14*k**2).\nAnswer: -10*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1202697*-0.1\nAnswer: 120269.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wbbw when four letters picked without replacement from wbwbbwb?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 174*j - 36 - 74 - 107 + 16 + 4. Is b(19) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -4*z. Suppose z = 4*r - 35 - 37. Let o be 176\/r - 2\/(-9). What is the greatest common factor of 40 and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyyy when four letters picked without replacement from yyycyyyyyyyyy.\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -14*p - 3. Suppose 234 = -9*j + 15*j. Let f(l) = -6 + 1 - j*l + 24*l + 1. Give 5*f(g) - 6*m(g).\nAnswer: 9*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -49 times -20.81292\nAnswer: 1019.83308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 55452553 (base 6) in base 10?\nAnswer: 1671189","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -2312*r**5\/21 + 10815808*r**4\/21 - 12693236498*r**3\/21 + 102540984542*r**2\/21 - 249510613990*r\/21 + 159652052450\/21 = 0. Calculate r.\nAnswer: 1, 121\/34, 2335","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1327673 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 394*r**4 + 9*r**3 - 2*r + 931.\nAnswer: 4728*r**2 + 54*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 PM and 11:46 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6071, 0.3, -1, -1\/4, 0.4 in descending order.\nAnswer: 6071, 0.4, 0.3, -1\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 284 - 56 = -19*m for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10267570301 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -206, -0.3 in descending order.\nAnswer: 5, -0.3, -206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53059.\nAnswer: 97, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/10*-5*(-1)\/((-3)\/(-27)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 13 + 4 - (1 - -2). Suppose g + g = d. What are the prime factors of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 245724.2 litres?\nAnswer: 245724200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -4\/20154421?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -995858, -997391, -998924, -1000457, -1001990, -1003523?\n\"Answer: -1533*l - 994325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1328 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 342632619 and 126?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 124 + -48 + (18 - (-20 - -18)).\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 44 - 41. Let q = u + -3.5. What is the nearest to -0.1 in 1, q, 3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1617 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1077883, 2155800, 3233717, 4311634, 5389551?\nAnswer: 6467468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8643 + 8643 + 880*y - 5702*y - 2961*y to m + p*y and give p.\nAnswer: -7783","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2382 + -2387. Sort 8, m, 2 in increasing order.\nAnswer: m, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (((-8)\/(-12))\/(-1))\/(10\/(-2015595)). Let c(x) = -134373*x + v*x - 2*x**2. Let q(n) = 2*n**2 - 16*n. Give c(q(p)).\nAnswer: -8*p**4 + 128*p**3 - 512*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 PM and 3:29 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*u**2 + 0*u**2 + 0*u**2 + (u - 6*u + u)*(0 - 2*u + 0) + 1 - 3*u**2 - 1 - 2 + 4 - u**2 - 3 as l + k*u**2 + a*u and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 423*b - 425*b + 650 = 0. Let a be -1 - 0 - b\/(-175). Factor a - 2\/7*o**2 - 4\/7*o.\nAnswer: -2*(o - 1)*(o + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1742834, 1742892, 1742988, 1743122?\nAnswer: 1743294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-1\/9))**(7\/2) assuming w is positive.\nAnswer: w**(28\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 AM and 7:12 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1392417 times -2\nAnswer: -2784834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18\/(-9) - (-215)\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 9 = 5*y, 2*y + 16 - 74 = -3*c. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 + (-63)\/15 + (-91)\/(-5). Suppose -2*k = -6*k + 72. Calculate the greatest common divisor of k and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -4.86 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of m**5\/30 - 7*m**4\/12 + 5*m**3\/6 + m**2. Suppose 0 = -4*q + 2*g + 28, q - 62*g - 8 = -61*g. Give h(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2482 = 216*l - 7018 for l.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 2*n = 1 + 1, 4 = -3*l - 5*n. Let h(t) = -2 + t**l + 5 - 6*t - 2 + 5. Let i = 88 - 83. Give h(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51144.89 micrograms to milligrams.\nAnswer: 51.14489","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventeen quarters of a year?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9354?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 + 3)\/(-1)*-4. Suppose a - x*a = 2*z + 9, -11 = z - 5*a. Put 1, 25, z in descending order.\nAnswer: 25, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c, 1 m, and 1 p when four letters picked without replacement from {m: 6, p: 2, c: 7}?\nAnswer: 12\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 61555 * 0.05.\nAnswer: 3077.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26\/9 + 139\/45. Suppose -t + 4*o - 4 = 9*o, 0 = -5*t - 3*o + 2. Which is the fourth biggest value? (a) 5 (b) 24\/7 (c) t (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzcwwwcccc. Give prob of sequence wwwz.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of -x**4\/24 + x**3\/3 - 1586*x**2. Let s(h) = -h - 3. Let q be s(0). Give m(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3612a (base 15) to base 12\nAnswer: 8391a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6545\/(-14))\/17*(28\/77)\/((-2)\/11).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 57245 + -12024. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0810441mg in kilograms?\nAnswer: 0.0000000810441","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11*27\/(-495)*-1.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1660*(731\/(-85) - 10) a multiple of 145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -123*p + 1639. Give i(7).\nAnswer: 778","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/2 + -15*(-2)\/18. What is the smallest value in -0.01, t, 1\/4?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1e6 - 135208?\nAnswer: -135012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 468847 is divided by 233673.\nAnswer: 1501","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -233 - -497. What is the greatest common factor of h and 88?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 5*z**2 + 38*z - 109. Let t be r(9). What is the greatest common factor of t and 464?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 10:19 AM?\nAnswer: 1:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 161 + -237. Let u = 103 + y. What is the second smallest value in -0.3, -2\/11, -1, u?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hfhhghhhgheehhhhhhh. What is prob of picking 1 e, 2 h, and 1 f?\nAnswer: 91\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 118*n - 6076. Is 4 a factor of x(129)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 7, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3699)\/(-1242) + 6\/(-4)*2)\/(-1)?\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24098.15 minus 15177?\nAnswer: -39275.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 11 - 3 = 0, 5*k - 4*f = 26. Suppose p = -4*d + 16, 11 = -4*p - 3*d + k*d. Is (-1 + 11)*(-2)\/p a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 0 - 13)*(-111*s - 13*s + 7*s).\nAnswer: 819*s","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of -47 - (3 - ((35 - 1) + -15))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/2)\/((-11)\/55*-5)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -20 in 6, 1, -29, -3, 0.2?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -35 + 7*l**2 + 83\/3*l + 1\/3*l**3.\nAnswer: (l - 1)*(l + 7)*(l + 15)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 + 7*p - 7. Let l be r(8). Let n = l + 5. Calculate the smallest common multiple of 8 and (n - -11)\/(1\/8).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98279 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + a = 4*a + 38, -4*u - 25 = -3*a. Let k be (-1)\/(-2)*-7*(-896)\/(-1568). Let h(y) = y + 1. Let z(b) = -4*b - 4. Give k*z(x) + u*h(x).\nAnswer: x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1470 and 8037715.\nAnswer: 48226290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (8 - (3 - -1)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1313 - 184065?\nAnswer: -182752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of 0*b**4 + 1\/5*b**5 + 0*b + 0 + 0*b**3 - 13*b**2 + 1\/3*b**6. Find the third derivative of j(x) wrt x.\nAnswer: 240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)*3 + 0 + -1*(sqrt(17) + -1) + sqrt(17) + -1 + 2*sqrt(17) + sqrt(17) + sqrt(17))**2*4 + 0.\nAnswer: 11492","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 - 23*n + 62. Determine k(19).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19 - (-1 - -15) - 18) + 21.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1097 + 1099. Let r = 3 + 3. Suppose 2*t + z = 2*z + r, 0 = -v*t + 4*z + 12. Solve -h = t*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 89.40076 litres?\nAnswer: 89400.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-194 - -203) + 3 + -35 + -1 + 2?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 390 and 30.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3518.3 - -3518. Sort 0.057, y, -0.1, -4.\nAnswer: -4, y, -0.1, 0.057","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2*p. Let s(w) = 11*w + 11*w - 15*w. Determine j(s(t)).\nAnswer: 14*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4261 - -8094. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (1 - 3) - (-19 - -23).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5667 - -1993. What is the remainder when r is divided by 219?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nineteen quarters of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - 2)*16\/3. Let p be 10\/((20\/35)\/(2\/7)). Let o = 680 - 679.9. Sort -4\/7, y, o, p.\nAnswer: y, -4\/7, o, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of -p**3\/3 - p**2\/2 + 2*p. Let b(i) = 8*i + 4. Let c be 3\/(-9) + (-13)\/(-3). Let w = -6 + c. Calculate w*b(k) - 9*r(k).\nAnswer: 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000011011100111 - -1?\nAnswer: 10000011011101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -o**5\/2 - 11*o**4 - 37*o**3\/2 + 464*o**2 - 826*o + 392 = 0.\nAnswer: -14, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 21*a - 202. Calculate the remainder when 181 is divided by q(14).\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + (12 - 11) - -12.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-2\/5)*f*f\/(f**(-2\/7)*f)*f)**(7\/3))**14)**41 assuming f is positive.\nAnswer: f**(12628\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-7)\/l)\/(l**9\/l))**(-24) assuming l is positive.\nAnswer: l**384","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -8\/7, 2 in descending order.\nAnswer: 2, -8\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 18*l. Let w(p) = -34*p**2. Determine m(w(t)).\nAnswer: -612*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 769 + 191 = 6*i. Suppose -3*g + 12 = 0, -u = 10*g - 8*g - 18. What is the greatest common factor of i and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 + 26. Find the third derivative of -28*g**6 - 65*g**3 + j*g**2 + 65*g**3 wrt g.\nAnswer: -3360*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.07 + -0.07. Which is the nearest to l? (a) 1\/23 (b) 0.5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 + 19334?\nAnswer: 19333.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 AM and 12:40 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11644627*n - 11644983*n + 23289609*n.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.03? (a) -3 (b) 2\/7 (c) -7 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/((sqrt(70) + (sqrt(70) - (sqrt(70) + (sqrt(70) - sqrt(70)*-1))))\/sqrt(7)) + (sqrt(900) + sqrt(900)*2 - sqrt(36))\/sqrt(12))**2 + 1.\nAnswer: 508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 396 = 5*r - 2*r. Solve -2*t - r = -24*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12325*o - 12320*o + 235980 = 1502845. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -118 smaller than -115?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -2*c. Let p be 11 - (-6)\/(-3 - c). Let h(m) = 17*m**2 + 1. Let v be h(-1). Calculate the greatest common divisor of p and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (26 - -11) + -57 - -36.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -2*i**2 - 2*i - 1. Let v(y) = -y**3 - y**2 + 19*y - 23. Let b be v(3). Let l(q) = 8*q**2 - 5*q - 2 - 12*q**2 + 3 - 4. Calculate b*l(s) + 5*u(s).\nAnswer: -2*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5190 and 468900.\nAnswer: 81119700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1388*a - 35*a**3 - 1388*a)*(2 + 7*a**2 - 2).\nAnswer: -245*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/7304278 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = -5*f - 22, 0 = -3*b + 3 + 6 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27*(-74)\/(-2997))\/(3*(-2)\/(-9)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-1260)\/(-21)*(-19)\/(-380)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 55.4 rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 0.01 (c) -596 (d) 5 (e) 6 (f) 0.06 (g) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 168411558?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -73\/3 - 19\/6. Let t = 4136 + -24893\/6. What is the common denominator of t and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 + 4*h**2 + 3*h - 10. Let p be y(3). Suppose 3*s = p*s - 925. Let f = 449 + s. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -455\/3434 + 3\/202. Let m be ((-8)\/(-20))\/(-3 + 9\/5). What is the third biggest value in -1, j, m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 9 + -5 - 14.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -31*f. Let p(c) = 565*c**2. What is p(h(q))?\nAnswer: 542965*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 43*w**2 + 1 - 4*w + 2*w + 28*w**3 - 42*w**2. Let i be a(1). What is the second derivative of 9*l**4 - 30*l + 4*l**4 + i*l wrt l?\nAnswer: 156*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29224631 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -57 - -53. What is the closest to -2\/11 in q, 1\/4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -141, -508, -1101, -1920?\nAnswer: -2965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9076451 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-10)*(-375)\/(-50).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(112)*1 + 4)**2 - (1*-4*(sqrt(112) + 0))**2) + 0 + -3)*-2.\nAnswer: -320*sqrt(7) + 2310","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y**4 - 5*y**3 + 1040*y**2 - 5440*y = 0.\nAnswer: -17, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 197916 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -163\/12, -2\/9, -5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 + 5*j - 2. Give v(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 + -4. Let q = -0.58 + 0.38. Which is the nearest to q? (a) 2 (b) t (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -16*p - 7. Let o be v(-1). Suppose -o*q = 175 - 832. Let z = q - -33. What are the prime factors of z?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -66, -53, -34, -9, 22, 59, 102?\nAnswer: 151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 17*d - 36 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i**(-2\/9)\/i)\/i)**21)**(5\/7))**(1\/26) assuming i is positive.\nAnswer: i**(-50\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u**2 + 3*u - 8. List the prime factors of q(4).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.145 minus -34.72?\nAnswer: 45.865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5779787935 to the power of 1\/2, to the nearest integer?\nAnswer: 76025","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1113320413 (base 5) in base 16?\nAnswer: 25d57b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 0.1. Suppose 0 = 2*l + 4 + 2, 5*l = 3*m - 24. Let o be (-4)\/(-18) - -51*(-1)\/108. Put o, m, b in ascending order.\nAnswer: o, b, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*(6\/(-8))\/(-3). Let v = 1431097\/52 - 110085\/4. Which is the closest to 11\/4? (a) y (b) v (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wee when three letters picked without replacement from {w: 1, e: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 10 + 8)*(0 - 2*i**2 + 0).\nAnswer: 18*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/3? (a) 4 (b) -237 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_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 4*z = -0*z - 44. Let l = 15 + z. Let q be ((-25)\/(-2))\/((-1)\/(-2)). Solve q = l*y + y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 + 5*f**2 + 6*f. Let d be u(5). Let s = -89 + 49. Let q be ((-135)\/10)\/9*s. Calculate the highest common factor of d and q.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35809976*-3\nAnswer: 107429928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 - 9*i**2 - 9*i - 9. Let s be x(10). Suppose 40 = 2*k - 4*q, 2*k - 26 - 11 = 5*q. Let f(h) = -k*h + h**2 + 26*h + 0*h**2. What is f(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1298 and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 - 322*v + 30. Determine j(0).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2.7, -0.4, 2\/181, 1\/6, -11, 10.5?\nAnswer: 2\/181","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12532689 is divided by 190?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 3. Let l = -2.77 - -26.57. Let s = -24 + l. What is the smallest value in 1\/6, s, k?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/11 (b) 2\/7 (c) 14 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1041581591, 1041581590, 1041581589, 1041581588, 1041581587, 1041581586?\nAnswer: 1041581585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - 13231?\nAnswer: -13241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 13434 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 234 (base 9) to base 6.\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 33 = -48. Solve -20 = 3*o - w for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20418015 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 6*a - 12 = 0. Sort -0.1, 3, a.\nAnswer: a, -0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19 + 93 - 29)*(g + 0*g + 0*g).\nAnswer: 83*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*(f*f**0)\/f)**(-27)*(f\/f**0)**12 assuming f is positive.\nAnswer: f**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 3*i - 200 = -2*i, -3*y = 4*i - 635. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 + 5*z - 5. Let y be m(1). Let t = -45.7 + 46. Which is the closest to y? (a) -4 (b) 4\/3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-12) - (12165\/(-36036) - 0). Let m = -210\/143 + v. Calculate the common denominator of m and -7\/10.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43, 0, -5875, -2\/11 in descending order.\nAnswer: 43, 0, -2\/11, -5875","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 732091 and 0.61092?\nAnswer: 732090.38908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 3*v + 12 = 0. Suppose 2*u = -4*n - v, 5*u + 2*n = 15 - 1. Suppose 844 = u*j - 0*j. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -16 - (-668 - -656) - 17.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) 3\/5 (c) -0.2 (d) 44.5 (e) -25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2*(288 + 3)*(-15)\/((-285)\/76). Which is greater: -6980\/3 or g?\nAnswer: -6980\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 169 + 3*x**2 - 33*x + 5*x**2 - 139 - 5*x**2 = 0.\nAnswer: 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*d**3 + 3*d**3 - 3*d**3 - d**3.\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00006604 to 5 decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-95) + (-13120)\/(-52972)?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2755*z - 5259. Give v(-2).\nAnswer: 251","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -495529, -991062, -1486609, -1982176, -2477769?\nAnswer: -2973394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8297 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = -2*a + 5, 12 = 5*a - 5*u - 3 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1758626 times -0.3?\nAnswer: 527587.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2081199, -4162398, -6243597, -8324796, -10405995, -12487194?\nAnswer: -14568393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 14) in base 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 AM and 4:19 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 AM and 1:00 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -113 * 9209.\nAnswer: -1040617","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3937 by -66.\nAnswer: -3937\/66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*d + 186*d + 194*d - 71*d.\nAnswer: 315*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1100 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 246 from 9643054.9.\nAnswer: 9642808.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*k, 5*m + k - 5*k - 17 = 0. Let g = 335 - 118. Suppose g = m*j - 68. Is 19 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**8\/t)\/(t\/(t**(-2\/53)\/t)))\/(t**20\/t*t**(-3\/8)\/t) assuming t is positive.\nAnswer: t**(-5369\/424)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 29*a - 29*a - 2*a**3 + (-4 + 1 + 0)*(1 + a**3 - 1).\nAnswer: -5*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 2*q - 1. Let x(l) = 59*l - 6. Calculate 3*j(u) - x(u).\nAnswer: -53*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -12) + (1385 - 1406) + (-1 - -12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 42\/3569 + 6969207\/89225. Let i = 78 - n. Calculate the common denominator of i and -59\/2.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 4*a - 2*q, -5*a + 11 = -3*q + 30 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13\/18 - -11\/18. Which is the third smallest value? (a) 1\/11 (b) -3 (c) -1 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + -3)*-2 - (2 - 1)\/((-130)\/(-390))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1545*z = -1539*z - 18 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -31.6256605 to three dps.\nAnswer: -31.626","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 4 - 0. Let a be (-2 - 20\/r) + (0 - 0). Suppose -a*k + k = -c - 79, -3*c + 214 = 5*k. Is k a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 284\/781 - 72\/77?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 3*i = -42, 0*a - 2*a - 3*i + 75 = 0. Suppose 74*q - 61*q = 0. Suppose 3*w - 5*t = -2*t + a, 4*w + 5*t - 26 = q. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 632917.7 kilometers in nanometers?\nAnswer: 632917700000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h + 17. Let g be m(-15). Suppose 3*x - s = -x + 36, g*s + 32 = 3*x. Solve -4*a + x = -4*j, -3*a = 2*j - j - 10 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6552887?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14b9 (base 14) to base 12.\nAnswer: 2177","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 82.48 + -80.48. What is the nearest to h in -2, 5, -0.2, 19?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 11*m - 2. Let r be t(4). Let j be (144\/28)\/(9\/r). What is the highest common factor of 24 and j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 - -5)*(-48)\/(-1). Let v be -10*5*(-2 + l\/75). Calculate the highest common divisor of v and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (4\/(-2))\/((-24)\/1020) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 974 - 1014 = 5*p, p - 20 = -3*s for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 0 + 8 + 6*p - 4.\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -5*j + 27. Let q = -1150 - -1148. Let t(z) = -z + 7. Determine q*c(w) + 9*t(w).\nAnswer: w + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 - 7*f**2 + 7*f - 9. Give v(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 + b + 1. Let h(u) = u**2 - 2*u - 2. Determine -3*h(d) - 4*s(d).\nAnswer: d**2 + 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41 + 64442*f**3 - 32228*f**3 - 41 - 32236*f**3.\nAnswer: -22*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l + 5. Let u be q(12). Let t be 2\/(-4)*6*1. Let c = t - u. Is 4 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32475 and 253650.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**3\/8 - 25089*z**2\/8 + 3043935*z\/2.\nAnswer: -3*z*(z - 460)*(z + 8823)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -24 - -40. Suppose 9 + 1 = 2*f. Suppose -3 - f = -2*q. What is the smallest common multiple of q and p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6209.906327 rounded to 0 dps?\nAnswer: 6210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 4)*(2 - 1 + 0)*(2*j - 3 + 3).\nAnswer: 10*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18 + 30. Let m be ((-1)\/n*-8)\/((-4)\/(-18)). Suppose -161 = -6*o - 59. Sort 5, 1, o, m in descending order.\nAnswer: o, 5, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 4*p = 0. Let y(x) = -2*x + 15. Is y(p) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-16512)\/(-552) - 4\/(-46). Calculate the highest common divisor of 330 and k.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/((z**(7\/3)*z)\/z))\/z*z\/(z*z**(2\/29))*z assuming z is positive.\nAnswer: z**(-122\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2*c**2 - 5*c + 3. Let d be v(-4). Let p(n) = 17*n**2 + 9*n - 9. Let i(u) = 4*u**2 + 2*u - 2. Give d*i(t) + 2*p(t).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (11\/(-4))\/((-12)\/240). Suppose -2*r + 3 - 9 = 0, -52 = -a - 2*r. Suppose -14 = 2*v - a. Calculate the greatest common factor of z and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 33 - -1187. Calculate the greatest common divisor of y and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, z: 3}. What is prob of picking 1 l and 1 z?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.9*-571.45\nAnswer: 514.305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3231321320 (base 4) to base 6.\nAnswer: -32515212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 10\/19 (b) 2\/3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 76079 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, -16, -1\/4, -5 in decreasing order.\nAnswer: -1\/4, -2\/3, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15390 and 104735106.\nAnswer: 3078","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 113863505 and 20.\nAnswer: 455454020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-1)*(-156)\/(-8736).\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2066, 2022, 1946, 1832, 1674, 1466, 1202?\nAnswer: 876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -27.65585 to 0 decimal places.\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in one quarter of a day?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -30003 (base 6) in base 7?\nAnswer: -14226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 + -8. Let r(j) = 8*j**2 - j + 8. Let f(g) = 2*g - 3. Let i be f(3). Suppose -8 = i*z + 10. Let m(u) = 7*u**2 - u + 7. What is v*r(h) + z*m(h)?\nAnswer: -2*h**2 + h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/541 and 41\/1535.\nAnswer: 830435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9 + -3?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -6. Let i be (-42)\/(-18) - w\/6. Suppose 4 = 2*m - i*n - 4, 0 = 2*n - 8. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11877 - -80230. Suppose 3*u - 541291 = 4*g, -g - 66981 = -3*u + r. Let p = g - -64119. What is p rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -5*b**3 + 435*b**2 - 6795*b + 6365 = 0?\nAnswer: 1, 19, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f + 411 = 1473. Is f at most 177?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - d)*(-3 - 2*d**2 + 3)*(1 - 7 + 4)*(-1 + 5*d + 1)*(-1 + 1 + 1)*(-15 + 3 + 29).\nAnswer: -340*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*b**3 + 63*b*t + 2*t - 610 wrt b.\nAnswer: -9*b**2 + 63*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (((-456820)\/280)\/251)\/(-2*2\/16)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 + -5)*2\/14. Let y = -1568.1 - -1568. Suppose 5*p + 2*o = -4, p - 4*o = -2*o - 8. Which is the closest to 1\/4? (a) d (b) y (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -6 - (-5 + 5 + -5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58 is divided by 25?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 29*v*w**4 + 2*v*w**3 - 1616*v - 3*w**2 wrt w.\nAnswer: 116*v*w**3 + 6*v*w**2 - 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c061 (base 14) to base 12.\nAnswer: -17131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -2*m - 25, 5*m + 28 - 3 = 0. Let s be -3*(-3)\/k - (7 + -5). Let d = 73\/2 - 38. Put d, -4, -7, s in descending order.\nAnswer: s, d, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -4*c - 2*c**2 + c**2 - 2*c**2 - 2317 + 2331 + c. Let g(i) = -i**2 - i + 5. What is 11*g(q) - 4*y(q)?\nAnswer: q**2 + q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 + 9*t**2 - 8*t - 9. Let i be y(9). Let v = -141 - i. Let h be 30*8\/v*-5. Solve 0 = -4*c - u + h, 4*c + 0*u - 12 = u for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -2*w**2 - 55*w + 142. What is b(-30)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, 2\/11, 1, -14, 31, -1\/20?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a millennium in centuries?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -46*w - 22. Is i(-4) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + (-6)\/((-30)\/25). Solve -3*s - q = -2*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20 + -213430040?\nAnswer: -213430020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 20\/30 + 40\/3. Suppose 2 + t = 4*k. Solve -8 = -d - k for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*c**4 + 13096586*c**3 - 3*c + 55206354 wrt c?\nAnswer: -8*c**3 + 39289758*c**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2027 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: Suppose -7 = l - 2*l. Suppose 3*f - 46 = -3*n - 7, -f + 4*n = l. Let t = 27 + f. Is t a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 3*l = -106 + 103, 4*l + 24 = 0. Let y = 0 - 0.1. Which is the nearest to y? (a) r (b) 4\/7 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 4*j + 61. Does 13 divide p(15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5 + (2 - 1))*-1. Let j = 23 + -20. Which is smaller: j or m?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 103910?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/1 + 207\/(-63) - 3480\/336*2.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/9 - (-76)\/6. Let w = 12 - t. Let c be 2\/(-8) - (-1)\/4. Solve w = -f - c*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18.0617 - -0.0217. Let l = -18 - t. Let p be (-8)\/10 + (-1276)\/(-870). What is the nearest to p in 0.4, l, -0.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -767\/3 + 261. Let a be ((-28)\/(-21))\/((-4)\/(-18)). Is a at least g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(304) - -2*sqrt(304)) + 1 - (-1*sqrt(19) + -1 - (sqrt(1216) + -1)))**2 + -4)*-2.\nAnswer: -16752 - 84*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*v + 37*v - 14*v.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1326121, -1326117, -1326113, -1326109, -1326105?\n\"Answer: 4*v - 1326125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 + -5. Let b(p) = -p - 34. Let r be b(0). Is 11 a factor of -3 + (-2)\/(s\/r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 23*g + 607. Calculate f(-28).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -5*p**3 - p**2 - p - 1. Let x be m(-1). What is k in -45*k**3 + 10 + 4*k**4 + 7*k**2 - 11*k**x + 3*k**2 - 13*k**4 + 45*k = 0?\nAnswer: -2, -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g = -3*g + 6. Let w be 400 + (-5 + 3 - g). Round w to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 277801*s - 421662 wrt s.\nAnswer: 277801","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 12*h + 119. Determine g(-9).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3539209 and 4?\nAnswer: 14156836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3.32135 and -7031.\nAnswer: -7034.32135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -47 - -32. Let t be r\/5 + 10\/3. Is 1 equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 0, -j = -3*j - 4*v + 358. Suppose -102 = 2*c - 3*i, -5*c - 5*i - j = 76. Let h be (-126)\/c - (-6)\/(-3). Is h at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158387 is divided by 1268?\nAnswer: 1155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 4*a = 10, -4*y + 2*a = -2*a - 20. Let o = 1075 - 973. What is the greatest common factor of o and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(153)*4 - sqrt(153))\/((sqrt(18) + -6*sqrt(18))\/sqrt(2)).\nAnswer: -11*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 19*h**2 - 17*h + 11. Let w(z) = -11*z**2 + 9*z - 6. Let g(m) = -4*u(m) - 7*w(m). Calculate g(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*r + 37*r - 10*r - 16*r.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1602 + 3740. Let a = u - 1213. What is the hundreds digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 + 1 + (2 - 5). Let w = -3 - h. Suppose 300 = 3*p + w*p. What is the highest common divisor of 24 and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 27 - -185. Is 27 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 - (1 + -8) - 4. Suppose d = -0*w + 4*w - 188. What are the prime factors of w?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10626887 and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*h + 16*h + 9 = v, 2*h + v - 3 = 0. Solve -9 = 3*r + h for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 - -17. Suppose -4 - 22 = -3*y + 2*i, -2*y = 2*i - v. Solve -14 - y = 4*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 8414662 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/4*w - 7\/4 + 7\/4*w**2 + 1\/4*w**3 = 0.\nAnswer: -7, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14017 is divided by 81?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1157*z - 17071 + 69136 = 0 for z.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, k: 1, c: 1}. What is prob of picking 1 k and 1 c?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.032, -5.\nAnswer: -5, 0.032, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-2)*(-5)\/2. Suppose -4*l - 4 = 4*a, -a + z*l - 5 + 34 = 0. Solve 3 - 20 = b - 4*j, -j = -a for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 2. Let p = b - -3. Suppose -2*w - m = -3*m + 6, w + p*m - 7 = 0. What is the second biggest value in -3, w, 1\/8?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81179069 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = m - 6, 0 = -5*c + 3*m + 34 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -281, -299, -331, -377, -437, -511, -599?\n\"Answer: -7*q**2 + 3*q - 277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 65017766939 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 180 and 96900.\nAnswer: 290700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6675 and 1405.\nAnswer: 1875675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by 9149.\nAnswer: -9\/9149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.8789206 rounded to 2 decimal places?\nAnswer: -2.88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 4:25 AM?\nAnswer: 4:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21765 and 44640.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -6*z**2 + 9*z - 32. Let i(j) = -5*j**2 + 9*j - 31. Let d(g) = 4*f(g) - 5*i(g). What is the units digit of d(16)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-16)*(-32)\/8.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2*(-1)\/(-4)*-10. Let g(n) = -2*n + 1. Give g(f).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(1\/3)*a*a)**(-38)*a**(-5)*a\/a**1 assuming a is positive.\nAnswer: a**(-319\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kzk when three letters picked without replacement from {k: 11, z: 5}?\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2 + 0 + 7 - 6*b - 7*b**2 - 1 + 371877*b**3. Let a be z(4). Round a to the nearest 1000000.\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21\/16 + -183\/80. Which is smaller: f or -3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 - ((0 - 0) + 0) - (3 - (328 - 178))\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2936 and 2730208?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -6*y + 1. Suppose -5*f = -3*m - 45, 0 = -2*f - 2*m - m + 39. Let u be f\/(-8)*2\/(-3). Determine z(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 210 - -101011102012?\nAnswer: 101011102222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 761 - 761.4. Let i be 2\/(-8) + 1\/12. What is the smallest value in 5, m, i, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 4) to base 11\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -5*s**2 - 50*s + 12. Let p be i(-10). Sort -8, 0, p, -4 in descending order.\nAnswer: p, 0, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7135 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 464502455239 minus 0.642?\nAnswer: 464502455238.358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9a163 (base 15) to base 3.\nAnswer: -220212201210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b**2 - 3*b**2 - 4*b - b**2 - 2*b + 2*b**2 + 2*b + (4 - 2*b - 4)*(0 - 2*b + 0) + b**2 - 2*b + 2*b + (5*b - 3*b - b)*(b + 0 + 0).\nAnswer: 6*b**2 - 4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*v - 7*v**2 + 18*v + 1374*v**3 - 1377*v**3 to l + x*v + i*v**2 + g*v**3 and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 5 - m - 5. Let p(z) = -8*z + 8*z + 0*z + 2*z. Determine p(f(j)).\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-20\/7)\/v)\/v*v)\/(v\/v**(-8)*v))\/(v**(-1\/21)*(v*v\/(v*v\/v**(5\/6)*v*v*v))\/v*v*v) assuming v is positive.\nAnswer: v**(-177\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8.96 + -9. What is the biggest value in 4, 5, h?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3740 - 48618\/13. What is the fourth smallest value in -0.5, 1, g, 6, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = 4*y + 24, 0*y + 11 = -y - 2*m for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*g**3 + 3*g**3 + 20693 + 4*g**3 - 20693.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of -3*o**5\/20 - 5*o**4\/6 - 7*o**3\/3 - o**2\/2 - 6*o - 6. What is the remainder when g(-5) is divided by 39?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.03 + 1.47. Let k = u - 1.1. Which is the smallest value? (a) k (b) -2 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k - 12 + 64*k**3 + 6 + 18.\nAnswer: 64*k**3 - k + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 352 and 51840?\nAnswer: 570240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -417 = -5*v + 838. Find the common denominator of v\/126 + (-8)\/(-28) and -11\/20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1121776 and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 19 = -0*c + 5*c, -1 = 5*c + 4*h. Let k be (-11)\/(c\/(-9) - 0). Calculate the highest common factor of 363 and k.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five quarters of a year?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 92, 37, -112, -403, -884, -1603?\nAnswer: -2608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 divided by 54?\nAnswer: -19\/54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 5*j**2 - 31*j - 17. Give i(7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 374 is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of -185*n**8\/56 + n**6\/30 + 5*n**4\/2 + 2*n**3\/3 - 105*n. What is the third derivative of u(h) wrt h?\nAnswer: -22200*h**3 + 24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 44 = -125. Let v(i) = 3*i**2 + 11*i + 69. Let r be v(-3). What is the greatest common divisor of k and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -z**5\/5 + 2984*z**4\/5 - 3571*z**3 - 7756*z**2 + 196476*z\/5 + 214416\/5 = 0.\nAnswer: -3, -1, 4, 6, 2978","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11050 and 10.\nAnswer: 11050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9405*s**2*t**2 - 34880484*s**2*t + 15*s*t**2 - 122*t**2 + t wrt t.\nAnswer: 18810*s**2 + 30*s - 244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 289*o**2 - 177*o + 7. What is the hundreds digit of q(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -197 * -3\nAnswer: 591","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -380583, -760466, -1140349, -1520232, -1900115, -2279998?\nAnswer: -2659881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 0, -99, -274, -531, -876, -1315, -1854, -2499?\n\"Answer: -z**3 - 32*z**2 + 4*z + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -7, -83, -157, -229, -299, -367?\n\"Answer: b**2 - 79*b + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 12*x + 304. Let v be i(-26). Let l = -3 - 1. Sort 3, l, 5, v in decreasing order.\nAnswer: 5, 3, l, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + k + 16682 = 0, -130*k = -3*v - 133*k + 16662. Is 51 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of -5*x**4\/12 + 5*x**3\/6 + 14*x. Find h such that l(h) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8433155113 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -823 - -1884. Suppose u - 253 = 4*v. Suppose -203 = -3*k + v. What is the highest common factor of 54 and k?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -28) + -2 - (-2143 + 2117)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 2*y**2\/9 + 1382396*y\/3 - 20735990\/9 = 0?\nAnswer: -2073599, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 8050 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 3*j - 29, -2*j + 0*l = 4*l + 10. Suppose -126 = -3*r - j*m, r - m = -4*m + 48. Does 17 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7228702 and 228?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 343123 (base 5) to base 7.\nAnswer: 50553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and 945.\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in 1\/6, 0, -1, 1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66359913.\nAnswer: 3, 19, 89, 103, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**12\/s)\/s)\/(s**30\/s)*(s**(-16)\/s)**(-3) assuming s is positive.\nAnswer: s**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - 16) + 988\/3900*(0 + 24)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 5 + 4 = -b, 5*b - 23 = a. Suppose -40 = -b*c - 0. Solve -r + 11 = 4*h - h, c = 4*r for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-26)\/t**(3\/7))\/((t*(t**(-2\/11)*t)\/t)\/t**25))**10 assuming t is positive.\nAnswer: t**(-1730\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21\/2 - -11. Let r = -20.1 + 17. Let t = -3 - r. Sort t, 1\/3, g in descending order.\nAnswer: g, 1\/3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 250376297*c + 51 = 250376294*c, s + c = 13 for s.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 728035*o**3 + 4118743*o**2.\nAnswer: 4368210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 AM and 7:01 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*6*2*(sqrt(180) + -1 + sqrt(180)))**2.\nAnswer: -124416*sqrt(5) + 3737664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197 is divided by 40.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {k: 2, m: 2, t: 3, p: 8}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 + (-117)\/(-6))*(-2)\/3.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + 0)\/(11\/22). Suppose 0 = 2*g - 3*r - o + 15, -2*r = g - 11. Let u be (g - -1)\/2*-1. Let w(s) = 6*s - 1. Give w(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 131.224 and -12.\nAnswer: 119.224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s. Let h(f) = 2*f. Suppose 0 = -5*n - 4*y - 21, 3*n - 10 = 2*y - 27. Suppose 0 = 5*v - 4*d + 40, d + 13 = -4*v + 2. Calculate n*p(c) + v*h(c).\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 15, 10, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-17)\/g*g)\/(g**(4\/7)*g))\/(g\/(g*g**(-2\/5)*g)*g)**(-2\/81) assuming g is positive.\nAnswer: g**(-52622\/2835)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4288 + 4293)*(-44)\/6?\nAnswer: -110\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -22235, -89022, -200335, -356174, -556539, -801430?\n\"Answer: -22263*a**2 + 2*a + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -18, -104, -1\/9, 18898, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17860485947 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -2208*d**2 + 2214*d**2 + 16*d + 11 - 6. Let a = 68 + -57. Let z(q) = -q**2 - 3*q - 1. Suppose -4*n + 3 = -5. What is a*z(h) + n*c(h)?\nAnswer: h**2 - h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 30343 and 0.031.\nAnswer: 940.633","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 612 = 5*j, 5*j + 459 = 3*b + 8*j. Is b equal to 153?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-102)\/(-1785))\/(18\/(-45)). Which is the closest to 0.9? (a) -5 (b) n (c) 0.2 (d) -1\/32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 3*s - 40. Solve -5*x = -1 + s for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*n**3 - 8 + 2*n**3 + 9 as q + u*n + r*n**2 + a*n**3 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 126 - 128. Sort -1, 34, 3, g in descending order.\nAnswer: 34, 3, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 11:07 AM?\nAnswer: 8:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1*(-1)\/128*(6 - 0) and -103\/12?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 64 - 47. Suppose 3 = z + 2*x - 10, -4*z = x - i. Suppose z*u = -0*u + 597. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 35 - 130. Let h(p) = 44*p + 15. Let j(i) = 90*i + 28. Let l(b) = 11*h(b) - 6*j(b). Is l(q) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -172784, -172973, -173162?\n\"Answer: -189*g - 172595","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 PM and 2:40 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 266 = 4*o - 322. Let h = -104 + o. List the prime factors of h.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of 0 - 1\/6*q**4 + 2*q + 0*q**3 + 0*q**2 - 1\/20*q**5. Find the third derivative of v(k) wrt k.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 60300 (base 8) to base 13\nAnswer: b373","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-4*(sqrt(68) + 0) - (3 + sqrt(68) + sqrt(68) + -4)**2*-5.\nAnswer: -88*sqrt(17) + 1365","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -83 and 878.\nAnswer: -72874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17\/10095 or 1?\nAnswer: 17\/10095","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(-4*2*sqrt(176) - sqrt(176) - sqrt(176)) - (sqrt(176)*2 + 4 - (-6*(sqrt(176) + -1) - sqrt(176)))) + 1 + 1)**2.\nAnswer: 1632*sqrt(11) + 457792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -22*k**2 + 11224*k - 2040.\nAnswer: -2*(k - 510)*(11*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, 16, 14, 2, -3, -33 in descending order.\nAnswer: 16, 14, 3, 2, 1, -3, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2219309 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 39*b**3 + 144*b - 144*b + (3 + 0 - 4)*(3*b**3 - 6*b**3 + 4*b**3) - b + b**3 + b.\nAnswer: 39*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, j: 2, u: 8}. Give prob of picking 2 u and 1 j.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -25871.07 to the nearest 1000.\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**4 + 42*i**3 - 178*i**2 - 42*i + 180 = 0.\nAnswer: -1, 1, 6, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -17 + 15 + (-3 - (2 + -17)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**0*b)**(-2)*b*b\/(b\/b**(-2\/5))*b**(-4))\/((b**(1\/4)*b)**(-2\/27)*(b**2\/b*b)\/((b\/b**(-4))\/b)) assuming b is positive.\nAnswer: b**(-893\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.31 and 102 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 165699900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.7 - -2.7. Let i = 0.001 + 33.999. Let q = i + -33.7. Which is the nearest to 0.2? (a) 2\/11 (b) m (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:48 AM and 3:13 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1889.\nAnswer: 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -82? (a) 2\/9 (b) -1\/12 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*p - 3*i, 0 = -5*p + 3*i + 29 - 1. Suppose p*t = 10, 3*t + 7 - 1 = 3*h. Let k be (1 + 8\/(-6))\/((-17)\/204). Is k != h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -6*z + 36. Let s be u(6). Suppose s = 8*o - 284 - 92. List the prime factors of o.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (8\/(-12))\/((-1)\/72).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, 7, -15, -124 in decreasing order.\nAnswer: 7, 4, -3, -15, -124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 25 (b) -1\/7 (c) 0.11 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -574, -1176, -1782, -2392, -3006, -3624, -4246?\nAnswer: -4872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 52554 and 456?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 + 7*a**2 + 8*a - 4. Let w be c(8). Let p(g) = -g**3 - 5*g**2 - 6*g - 2. Does 4 divide p(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -3*n + 7. Let t be o(5). Let k = 18 + t. What is the smallest common multiple of k and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 9134*u - 15*u**2 - 9134*u + 22.\nAnswer: -15*u**2 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-192969)\/(-1323) - 146 - ((-600)\/(-14) + -1).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -5.54055\nAnswer: 5.54055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.85, -4\/3, -4, -7, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3289916.\nAnswer: 2, 7, 117497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 5*q**5 + 225*q**4 - 4830*q**3 + 3410*q**2 + 22185*q + 13725 = 0.\nAnswer: -61, -1, 3, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -37 + 16. Let s = h + 16. Let o = -0.2 + 0.1. Which is the second biggest value? (a) o (b) 2\/13 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.1 - 3.8. Put -1\/6, l, 5\/3 in descending order.\nAnswer: 5\/3, l, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -111872 times 83\nAnswer: -9285376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 78649792?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 340 and 2227.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -5*y + 7, 3*f = -3*y + 5*f - 11. Let z = 2 - y. Solve -3*d + 13 = -5*c, 4*c + 13 = -z*d + 8*d for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -1686 (b) -2\/19 (c) 16\/7 (d) -3\/4 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 3) + -28 - ((21 - 3) + -36)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 5*v - 5. Let n(t) = -11*t + 11. Let b(y) = 2*y**2 - 47*y + 261. Let z be b(8). What is z*u(w) + 6*n(w)?\nAnswer: -w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a + 21. Suppose 21 = 3*n + 66. Let i be u(n). Let k = i + -2. Solve 0 = o + o - k for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/7, 2, 18, -953?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7246608 or -7246620?\nAnswer: -7246608","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -419701*1\nAnswer: -419701","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 72\/5 of a milligram in micrograms?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 13*p**3 - p**2 - 29*p + 1. Let a(u) = 38*u**3 - 3*u**2 - 87*u + 3. Determine -4*a(h) + 11*r(h).\nAnswer: -9*h**3 + h**2 + 29*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - -2301?\nAnswer: 2303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 18 = 2*s + 6*q, -3*q = -2*s + 8. Solve x + s*x = -x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(18)\/sqrt(6))**2 + -2 + sqrt(18)\/sqrt(6) - (-1*sqrt(36)*6)\/(sqrt(12) - (sqrt(48) - sqrt(768))\/sqrt(4)).\nAnswer: 5*sqrt(3)\/2 + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -42 (base 14) to base 10.\nAnswer: -58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from rwtpprppprppwwtprtrp?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 312 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + n = 5145, 0 = -t + 2*n + 360 + 2205. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 63687 and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.5, -0.012, 0.01, -152?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2745268*n**4*r**3 + n**2*r**2 - 3*n*r**2 - 67*n - 765*r**3 wrt n?\nAnswer: -65886432*n*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/44 (b) 2 (c) -0.5 (d) -0.19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-5)\/(p**(-7\/6)\/p*p))**(-2\/107) assuming p is positive.\nAnswer: p**(23\/321)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 481 and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -10a20 (base 12) to base 7\nAnswer: -121503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 1 = -3*w - 0*w, l - w - 3 = 0. Solve 0 = 3*v - v - l for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1042*f = -2356 - 2854 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 - 22.2. Let s = l - -3. Let p(n) = -n**3 + 17*n**2 - 28*n - 37. Let h be p(15). Which is the second biggest value? (a) s (b) h (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2380.99013 + 1184.23832. Let j = q - -0.05181. Let y = -1148 - j. What is y rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(((sqrt(300) - -2*sqrt(300)) + -2 + -2)**2 + sqrt(300) + (sqrt(300) + 0)**2 + -4 + (sqrt(300) + -1*sqrt(300) + -4)**2)*-2.\nAnswer: -920*sqrt(3) + 12112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 + y - 1. Let g(c) = 7*c**3 - 8*c**2 + 3*c - 3. Let a(s) = -g(s) + 3*r(s). Find the third derivative of a(o) wrt o.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 4*l - 6, -5*l - 5*p = -7*l - 6. Let g = 295321\/3073 + 18\/439. Let v = -95 + g. Is l equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 1763*g + 21164. Determine i(-12).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22432619?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1172 and -0.00536357.\nAnswer: -1172.00536357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 26591187983 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*i + 11343 - 45676 = 41567. Calculate the remainder when i is divided by 60.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(3\/4)*(y*y**(-3\/13))\/y*y**(2\/37)*y\/y**(-3\/4)*y)**(-5\/16) assuming y is positive.\nAnswer: y**(-15985\/15392)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 7690616 - 4181*c - 7690616 as h + q*c and give q.\nAnswer: -4181","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 32*o - 4364 + 4140 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2393.6 - -2395. Which is the biggest value? (a) 7 (b) z (c) -0.3 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 69\/4 in -0.4, 3\/4, -2.6, 0.04, -1\/2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m**3 + 45*m**2 - 31*m + 58. Let c be g(-23). Suppose 0 = -a - c + 293. Which is greater: a or 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-93*6\/(-36))\/((-2)\/(-4)). What is the third derivative of -1 - 40*z**2 - v*z**2 + 5*z**2 - 28*z**5 wrt z?\nAnswer: -1680*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z + 8. Let d(v) = v**2 + 9*v + 16. Let w be d(-5). Determine c(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7\/(-4 - 36\/(-8)). Let d be 3*((3 - 0) + -8). Let k = 139 - d. Calculate the greatest common factor of w and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -166, -4, 2\/7, -21, 0.5, -80?\nAnswer: -80","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 3062, -5, -2\/3 in ascending order.\nAnswer: -5, -2\/3, -0.4, 3062","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 174645?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 22, 410, 1, -702?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a hour in seconds?\nAnswer: 18720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2312 (base 11) in base 5?\nAnswer: 44123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000232113 to seven dps.\nAnswer: -0.0000232","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 AM and 7:20 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 222 and 1596282231?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6 - 3 - 42\/(-44). Let q = f + -9\/2. Let k = -93.9 + 94. What is the smallest value in k, q, -3\/5, 1?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*o - o - 199 + 121. Which is smaller: o or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 11353920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 47197680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*c - 80 = 30*c. What are the prime factors of c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16641 by 1169.\nAnswer: 16641\/1169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(1\/7)\/((m**(-10\/7)\/m)\/m)*m\/m**(-2\/7)*m**9 assuming m is positive.\nAnswer: m**(97\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18012 and 9519.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4103062?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 2*j + 8. What is j rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 610 and 612 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 + 6*r + 163. Let k be o(-10). Solve -k*n - 12*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 44\/93 and -32\/16953?\nAnswer: 525543","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2010 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162*t**2\/7 - 8858*t\/7 + 2860\/7 = 0. Calculate t.\nAnswer: -55, 26\/81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 4*h + 4. Let u be r(6). Let p = u + -19. Suppose -3*o + 6 = -p. Is o a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 30 = -12. Let i(c) = c**3 - 5*c**2 - 5*c - 4. Let u be i(q). What is the second biggest value in -7, -1\/8, u?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -207.0019 + 207. Round t to 4 dps.\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 5\/3, -2\/3679?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 3.443616 millennia?\nAnswer: 34.43616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 - 11. Does 24 divide 3 - 103\/(-2)*(0 + f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 AM and 10:15 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/4, 4\/3, -3, 50?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 27386*p*q**5 + 106685*p*q + 196*q**5 - 209*q**2 wrt q.\nAnswer: 1643160*p*q**2 + 11760*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 525 at least 524?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in thirteen quarters of a millennium?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 - 4*l**2 + 4*l + 4. Let t be w(-5). Suppose c - 5 - t = 0. Let g = 7 - 5. Calculate the highest common divisor of g and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2672.494 + -4.494. Let p = r - 2639.98. Let w = p - 28. Round w to one dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 26148103 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23 (base 6) to base 8.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (17 - ((-7 - 5) + 14 + -5)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 313352 (base 12) in base 10?\nAnswer: 772910","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25 - 36. Let h be (-2)\/z + 6\/(-33). Let v = -11 - -7. What is the biggest value in v, h, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, -0.31, -0.5, 5, -2\/5, 2\/13?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of 7*n**4\/12 - n**3\/2 - 2*n**2 - 4*n. Does 25 divide p(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 - 9*j + 3. Let v be (-8 - (-3 - 8))*1. Calculate t(v).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/5 - 1634\/(-190). Suppose -2*x + 7*x - 10 = 0. Solve 0 = 2*r + t - x for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6952 or 1316?\nAnswer: 6952","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -39 (c) -3 (d) 7 (e) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 9, b: 4, h: 3, m: 2, u: 1}. What is prob of sequence hu?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1007829*c**2 + c + 664599.\nAnswer: -2015658","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - 1. Let q = c + 1. Let b be (-70)\/(-20)*6\/70 - 96\/120. What is the nearest to b in 6, -4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 80 = 4*q, 0 = 2*q - 15*o + 12*o - 50. What is the highest common factor of q and 1606?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from knnknnnnnnn. What is prob of sequence knn?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -3*u - u + 33, -2*b = -3*u + 23. Suppose -9*r - 6 = -6. Suppose -u*o + 75 + 499 = r. Is o a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 596362766?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 52814 and 15109571?\nAnswer: 15056757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001010010120 (base 3) to base 14.\nAnswer: -105971","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 0.5 (c) 187288824 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -1408 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 7*u**2 - 919*u - 1006. Determine n(132).\nAnswer: -346","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -508*h**2*p**2 + 50*h**2 + 5*h*p**2 - h*p + 521*h + 2*p**2 - 1 wrt h.\nAnswer: -1016*p**2 + 100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63180 = -6*t + 11*t + 5*b, 0 = t - 4*b - 12636. Is 52 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -14*v**3 - 18*v**2 + v - 37. Let p(z) = -14*z**3 - 17*z**2 - 38. Let i(b) = 4*k(b) - 5*p(b). Is i(13) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*i - 14 = -18*i. Suppose -i - 98 = -n. Calculate the highest common divisor of n and 392.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 3) to base 10\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15110350 is divided by 379?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*(2 - 1 - 8). Suppose 0 = 4*r + v - 17, -2*r = -3*r + 5*v - 22. Suppose -k = -r*l - 5. Let t(g) = g**3 - 4*g**2 + 4*g - 4. Determine t(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*k - 108 = -21*k. Solve -2*m - 14 = -k for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/(-5))\/((-8)\/(-24)). Let m be 2\/(-8) - 1\/(-2). What is the closest to m in 1, z, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, v: 2, w: 2}. What is prob of picking 2 i?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 499 + 4*y - 499.\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5134 + -212?\nAnswer: 4522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 243212 and 142368?\nAnswer: 5837088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 7*h**3 + 8*h**2 + 4*h + 6. Let l be p(-5). Let o = l + -641. Round o to the nearest 100.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*j = 923 - 156. Let g = j + 158. What are the prime factors of g?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -858*w**5 - 133252*w**4 - 1883936*w**3 - 6326976*w**2 + 5155840*w - 716800 = 0?\nAnswer: -140, -8, 2\/11, 20\/39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-4))\/(55\/(-792)*24\/8).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2508*v + 3925*v = 2896*v + 26980 - 3316 for v.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -3*n - 12*n**2 - 7*n + n**3 - 11 - n - n. Is 2 a factor of j(13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6781?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14520 (base 13) to base 15.\nAnswer: -b4d0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (1 + -9 - 3).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/23, -10, 4, -1\/13, 0.38, -0.3, 3\/4?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 4*z - 96, 0 = -z - 12*r + 15*r + 36. Suppose 0 = 3*o - 0*o + 36. What is the tens digit of 404\/16 + z\/o + 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 1)*(-84 + 142 - 388)*(-2*a**3 + 3*a**3 - 4*a**3)*(-3 + 2*a + 3).\nAnswer: 1980*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -21 + (-13 - -32) - (-5 - -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s*(s*(s\/(s**2\/s))\/s*s*s*s*s)\/s)\/s)\/s*s**(-1\/9))\/(s*s**(-1))**39)\/((s\/s**(-3)*s*s)\/s**(-2\/23))**(-2\/83) assuming s is positive.\nAnswer: s**(34973\/17181)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111 is divided by (-2)\/2 - (10 + -31 + 1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 59 = -3*z, -4*a + 23350*z + 65 = 23353*z for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2*v**3 + v**2 - v + 6. Let d be q(2). List the prime factors of (-6 + 2)*398\/d.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8457987 is divided by 539?\nAnswer: 538","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r + 4*r + 9*r.\nAnswer: 10*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of q + 2\/3*q**3 - 1 - 2*q**2. What is u(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, -4, -3, -1, -41?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 878235 is divided by 7556.\nAnswer: 1739","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20 + -99. Let j = d - -53. Which is bigger: -25 or j?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + -bc5d?\nAnswer: -bc61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -905 and -0.1.\nAnswer: 90.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 + 25*x - 126. Let i be g(7). Suppose -43*r + 2674 + 18138 = i. Is 22 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11102 (base 6) to base 15.\nAnswer: -6d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 6*t**4 - 4*t**3 - 4*t**2 - 8*t + 4. Let u(n) = n**3 + n**2 + n - 1. Let b(z) = -g(z) - 4*u(z). Find the second derivative of b(a) wrt a.\nAnswer: -72*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2504 - -10065. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t - 3. Let k be s(5). Suppose 4*a + 52 = 4*b, 6*a - 14 = -k*b + 4*a. Put -3, b, 0 in increasing order.\nAnswer: -3, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 - 13*q**2 + 8*q + 7. Does 19 divide m(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5717 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - 0. Suppose -2160 = -a - j*a. Round a to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = -5, 9 = -364*q + 362*q + 3*a for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*j + 19*j + 298*j**2 - 3*j**4 - 164*j**2 + 352*j**5 - 145*j**2 - 4*j wrt j.\nAnswer: 21120*j**2 - 72*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 358 and 430?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2 + z + 16. Let r be d(0). Suppose -b + r = 3*b. What is the second derivative of 6*g**2 + g**2 - 3*g - b*g**2 wrt g?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -l, -1225*n + 1227*n - 6*l + 49 = -l for n.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uobooobbbooobooobboo. Give prob of sequence bub.\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 2 + 10 = 3*k, -k = m + 6 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -6*b**4\/5 - 3874*b**3\/5 - 6346*b**2\/5 + 60506*b\/5 - 3864 = 0?\nAnswer: -644, -5, 1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, i: 3, n: 1, b: 1, s: 1, x: 2}. What is prob of picking 1 m, 1 b, and 1 s?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13428 + 8031. Let i = 5396.999997417 + y. Round i to seven dps.\nAnswer: -0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8183 divided by -158\nAnswer: 8183\/158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3.68 in 17, -0.5, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 44 (b) -2\/7 (c) 3 (d) -31 (e) -3\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9537197 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of -13*h**6\/6 - 17*h**2\/2 - 13. Find the second derivative of x(b) wrt b.\nAnswer: -260*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11110011111110011000 (base 2) in base 4?\nAnswer: 3303332120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2730.23556 rounded to 1 decimal place?\nAnswer: -2730.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 0.08, 0.013?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 11*w**2. Let f(x) be the first derivative of 2*x**2 + 17. Give a(f(h)).\nAnswer: 176*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 - (42\/(-28) - 27\/(-5)). Let b be (-6 - 5)\/11*2\/(-10). Let -j*i + b - 1\/10*i**2 = 0. What is i?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 15*m**2 + 1229*m - 1253*m + m**3 + 6*m**2 - 39. Let i be v(-22). Solve -i*a - 8 = -7*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (112\/128)\/(649\/13483140260). Let c = -18178345 + o. Let t = -31\/118 + c. What is the common denominator of 27\/8 and t?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 65 = -2*c + 52, c + 62 + 52 = -100*v + 72 for c.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of -22*b + 1\/3*b**3 + 5*b**2 - 8. Let c be p(-13). Solve -c = 5*o + 2*l, -2*l + 4*l + 5 = -o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 408 + -245. Differentiate 62*o**3 + w - 11 + 208*o**3 wrt o.\nAnswer: 810*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 15399918 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 4*w**2 - 5*w - 4. Let p(l) = -5*l**2 + 6*l + 5. Let m = 11 - 6. Let v(d) = m*p(d) + 6*y(d). Let i(x) = 4*x**2 - 5. Determine -2*i(k) - 9*v(k).\nAnswer: k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*m**2\/7 + 11475*m + 40164\/7.\nAnswer: -3*(m - 13388)*(2*m + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 2338712148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -672\/17 (b) -2\/9 (c) 0.4 (d) -12.9 (e) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19031 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(130\/(-4)) + (-7830)\/702.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 350796?\nAnswer: 2, 3, 23, 31, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -3894*v - 140162. Calculate y(-36).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 AM and 8:24 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7 or 166971?\nAnswer: 166971","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 158252?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 134\/6 + (-3)\/9. What is the greatest common divisor of 11 and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -148 - -175. Calculate the remainder when r is divided by 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 10401?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 199 - 196. Suppose 5*l = -n*h - 9 + 49, 4*l = 2*h + 32. What is the greatest common divisor of 120 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 13012*n + 74. Let u be t(9). Suppose -7*d - u = -33*d. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 - y**3 - 8*y**2 + 2*y + 3*y + 10*y**2 - 3*y to f*y**2 + b + k*y**3 + o*y and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/12)\/(7\/(-21)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/144 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/36 and 5236\/88*((-4461)\/(-2226) + -2).\nAnswer: 1908","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m - 28*m = 700. Let a = 57 + m. Does 12 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-2 + 5 + (sqrt(891) - (3 + sqrt(891)))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*l - 124 + 1434 + 58 = 0. Solve 13*w - l = -45 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1040 - -1045. Solve 0 = -j*t - 0*m - 3*m - 31, 21 = -3*t - 3*m for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2510 = -36*u - 2438 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 27 = 12*y - 4*v, y + 4*v = -1 + 11 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 169526.0185 + -169652. Let x = 126 + w. Round x to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -53, -5, -0.11, -11, 3, -8, -1\/12?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -4*n + 136, 3*b - 3*n - 155 = -41. Suppose b = 2*f + 2*f. Suppose 2*p = 51 - f. What is the highest common divisor of p and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.36 + 0.64. Which is the closest to 6? (a) -0.1 (b) 0.2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 605933561.4 and -8.39.\nAnswer: 605933553.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -11*f. Let k(s) = 14231*s - 14. Determine k(d(u)).\nAnswer: -156541*u - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 - (41\/(-39) + 0). Let b = 101 - 99. Suppose 3*v - 1 = -b*x, 4*v - 3*x + 6 = -4. Is r less than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 19*y**2. Let r(g) be the second derivative of g**3\/2 + 27*g. What is b(r(s))?\nAnswer: 171*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, -2\/5, 1\/6, 12?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 12:53 AM?\nAnswer: 6:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*a + 0*a + 4*a)*(-a**2 + 2*a**2 - 2*a - 2*a**2).\nAnswer: 2*a**3 + 4*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (12 - 400\/30)*3\/14. Let h = -7 + 5. Let z = 5 + h. Which is the closest to -1\/2? (a) 4 (b) u (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -685.134 and 1.\nAnswer: -685.134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 67 + -66.9618. Round d to 3 dps.\nAnswer: 0.038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 602.5949ml in litres?\nAnswer: 0.6025949","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 6 = 3*w, 0*w = -w - 4*n + 18. Suppose 8 = w*r - 2. Let y(c) = c**3 - 2 - 4*c**2 + 0 + 1 - 5*c. Give y(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.6952 to 1 decimal place.\nAnswer: 14.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4232 a factor of 758878008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 0.1, 1.1, -2\/3 in decreasing order.\nAnswer: 1.1, 0.1, 0, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4231311 + -1?\nAnswer: 4231310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1022120 + 10000202?\nAnswer: 11100022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 5:23 PM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -815 + 819. Sort 2, 45, d, 3.\nAnswer: 2, 3, d, 45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -v + 4, -53*g + v = -49*g - 10. Let u(s) = -s**3 + 8*s**2 + 2*s + 4. Calculate the lowest common multiple of u(6) and g.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2*i. Let t(h) = 506109*h. Give t(s(z)).\nAnswer: -1012218*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + 35481256?\nAnswer: 35481255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = -11*s - 2*s. Let w(r) be the third derivative of 1\/6*r**4 - 4\/3*r**3 + s - 1\/120*r**5 + 0*r + 3*r**2. Solve w(v) = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-589 + 589 + 29*b)*((3*b - b + 0*b)*(-1 + 3 + 0) + 3*b + 0*b + 0*b).\nAnswer: 203*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -4. Let t = -3\/4 - j. Let v be (-48)\/36 + 22\/12. Which is bigger: v or t?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37420 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -10*a - 5. Let x(y) = 36*y + 51*y + 44*y - 132*y. Give z(x(n)).\nAnswer: 10*n - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -196, -1679, -5706, -13549, -26480, -45771?\nAnswer: -72694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 19848960 and 17230?\nAnswer: 19848960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 147 - 145. Let l(u) be the second derivative of -u**3\/6 + 7*u**2 - 11*u. Let h be l(11). Solve -k*v + h*v + 4 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, 0.2, 4, -4, 1\/3 in descending order.\nAnswer: 28, 4, 1\/3, 0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 PM and 12:01 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - 1796?\nAnswer: -1799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 26*n + 28*n + 29 = 0, -23*n = 5*o + 353 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 AM and 11:53 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7212?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 176668 is divided by 453.\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82 + 15499*o**2 - 91 + 9.\nAnswer: 15499*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/(2*3\/652) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4234*y**6 + 2*y**5 + 2*y**4 - 6*y**2 - 2628 wrt y.\nAnswer: 508080*y**3 + 120*y**2 + 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 987 and 13664028.\nAnswer: 13664028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -318 - -326. What is the tens digit of (-615)\/(-10) - 12\/z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -5210*o + 5218*o. Solve -o*u = -5*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of 5*m**2\/2 + 3*m - 440. Determine c(3).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ksc when three letters picked without replacement from ncbakbnkbkakskakbsa.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -161\/39936 and -121\/90168.\nAnswer: 11541504","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Add together 219078.084 and 171448.\nAnswer: 390526.084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7\/346 + -32849\/1038. Let u = 32 + z. Factor -1\/3*h**2 + 0 - 1\/3*h**5 + 1\/3*h**4 + 0*h + u*h**3.\nAnswer: -h**2*(h - 1)**2*(h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63446821 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g - 5. Suppose -3*s - 21 = -3*f, 6 = -0*f + 3*f. Let i be m(s). Which is the closest to i? (a) 3\/2 (b) -1 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-405)\/(-207))\/(-15) - 9853\/(-96347)?\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 57 - 37. Calculate the least common multiple of (-1)\/((-22)\/a + 1) and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -300689.\nAnswer: -1202756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -3*o - 5*g, 3*g - 24 = -4*o - 0*g. Calculate the remainder when 33 is divided by o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-160)\/896*-14*3\/((-540)\/(-8))?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-64)\/(-80))\/((-16)\/10 - -2). What is the third derivative of 3 + 1 - 4 + 12*v**w + 38*v**3 + 4 wrt v?\nAnswer: 228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5060255 to the nearest integer?\nAnswer: 2250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*v + 9*v + 2. Which is the fourth biggest value? (a) 0.4 (b) v (c) -5 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37, -47, -4, -2 in descending order.\nAnswer: 37, -2, -4, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - -1. What is the closest to 0.2 in q, -0.5, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7250266.\nAnswer: 2, 3625133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-10))\/(12\/40)*(-32)\/(-80)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10 * -0.364.\nAnswer: -3.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 48359282?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 27\/(-9)*-1)*1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5007314 or -5007347?\nAnswer: -5007314","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -9, 0.2, 2\/9, -0.2?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide (-598)\/(-8) - ((-39)\/12 + 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6 + (-204)\/8)\/((-1)\/(-14)). Let o = 355 + z. Calculate the remainder when o is divided by 29.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 2*w**2 + 1)*(-2 - w + 2) + 16690*w**2 - 149*w**3 - 16690*w**2)*(5*w - 4*w - 3 + 4).\nAnswer: -151*w**4 - 151*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 42*h**2 - 396*h - 12 + 22*h - 15*h**2 + 99*h**2.\nAnswer: 2*(h - 3)*(63*h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 16\/(-12) - 112\/(-12). Suppose -x + 30 = 11*i. Solve 9 = i*m + 1 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88985700 rounded to the nearest 1000000?\nAnswer: 89000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-3\/8))**(-21\/4)\/(t**(-8\/5))**1 assuming t is positive.\nAnswer: t**(571\/160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 95*b - 36. Let r be y(3). Let z = 254 - r. Solve q + 0*q + 17 = z*h, 3*q = h + 5 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13259386?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.84 - 0.06. Let g = 5.9 + d. Let j = 28 - 27.94. Sort 8, j, g.\nAnswer: j, g, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 998539050 rounded to the nearest 1000000?\nAnswer: 999000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -23*i**3 - 163*i**2 + 8*i + 121. Calculate h(-7).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 206018 and 1027461.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 274536710?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -5 - ((-116)\/28 + (-2)\/(-14)). What is the nearest to r in 5, 4, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l**3 - 4*l**3 + 83814684 + 14*l**3 - 83814692 - 9*l**3.\nAnswer: -l**3 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1679?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 8247, 37245, 85573, 153231, 240219, 346537?\n\"Answer: 9665*w**2 + 3*w - 1421","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 AM and 9:57 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 - 4*z**2 - 4*z - 7. Let m(p) = 3*p + 3. Let t(k) = -k. Let f(d) = -m(d) - 4*t(d). Let x be f(3). Suppose x*w + w - 5 = 0. What is h(w)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 46030 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.13 + 1.13. Which is the nearest to m? (a) 3\/2 (b) -0.4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1662956*i**3*z**2 - 2*i**2 + 194*i*z**2 - 1038*i - 2*z**2 wrt i.\nAnswer: 9977736*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(48)*1)**2 - (sqrt(24)*-3)\/sqrt(8)).\nAnswer: 6*sqrt(3) + 96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v + 2*v + 75703 - 3*v - 151400 + 75697.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(28) + sqrt(700) - sqrt(28))*6 + (sqrt(112) + sqrt(112)*-2 + sqrt(112))\/sqrt(4))\/(sqrt(1000)\/sqrt(10) + sqrt(700)\/sqrt(7)).\nAnswer: 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 5. Let f = 5 + -6. Let y = f + 0.8. Which is the nearest to 0.2? (a) j (b) y (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - g - 2)*(2 + g - 2) - 7*g**2 + 6*g**2 + 22*g**2 + (56 - 17*g - 56)*(2*g + 3*g - 4*g) to the form a*g**2 + r*g + t and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11410006?\nAnswer: 2, 293, 19471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 33553215 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -104 - -99. What is the nearest to 5 in 0, -1\/4, u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -847 <= -63517\/75?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 6054, 6046, 6038, 6030, 6022, 6014?\n\"Answer: -8*j + 6062","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/14 and -139\/8100.\nAnswer: 56700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/5 + 11304*u\/5 - 4520.\nAnswer: -2*(u - 5650)*(u - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/3)*b**(-4)\/b)\/(b**(-1))**(17\/4) assuming b is positive.\nAnswer: b**(-1\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1067*v + 6924 = -1646 - 4234 for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 + 2977.84144316?\nAnswer: 2978.24144316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of -p**6\/720 - p**5\/240 + p**4\/24 - 2*p**3\/3 - 6*p**2. Let w(j) be the first derivative of z(j). Determine q so that w(q) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/6)\/(2\/12). Let l be (8 - 11)*t\/6. Let a be 6\/(-22)*(l + 2). Which is smaller: 1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*d = -5*d + 33. Let w = -2.2 + 2. Let t = -1 + 0. Which is the nearest to w? (a) t (b) d (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22966 + -22966. Which is the second smallest value? (a) v (b) 4 (c) 17 (d) 0.5 (e) 5\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19 + 24. Find the first derivative of -7 - 5*s - a*s - s + 2*s wrt s.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8082, -8089, -8096?\nAnswer: -8103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7.9 - 31.9. Let m = 23.5 + s. Let h = 0.364 + -10.364. What is the biggest value in -0.1, 4\/5, m, h?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 + -8. Which is the third smallest value? (a) 5 (b) 4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*g + 5 = -36*g. Let h be 14\/4 + (-48)\/32. Solve 5*w = g*z - 35, 4*z = h*w + 14 + 8 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of u**7\/210 - u**6\/15 + 5*u**4\/24 - u**3\/6 + 21*u**2. What is the second derivative of n(k) wrt k?\nAnswer: 12*k**2 - 48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1304 is divided by 576?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2 + 32*a + 56.\nAnswer: 2*(a + 2)*(a + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/2068 and -19\/176.\nAnswer: 8272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 203266 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/(-4))\/((-15)\/(-100))*(167 + -164). Sort 1, 2, -2, -35, b.\nAnswer: -35, b, -2, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f - 7 - 4 - f**2 + 3. Let p(v) = 2*v**2 + v + 15. Suppose 2*c - c = 11. Let j(g) = c*b(g) + 6*p(g). Calculate j(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.206513041 to four dps.\nAnswer: -0.2065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, h: 13, o: 1}. Give prob of sequence khh.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*f**3 - 36*f**3 + 13*f**3 + 16*f**3.\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -124472, -124499, -124528, -124559, -124592, -124627?\nAnswer: -124664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 5*k**3 - k**2 + 6*k. Let y(a) = 11*a**3 - 2*a**2 + 13*a. Suppose 3*x - 2*x - 8 = 3*j, 0 = -5*j - 3*x - 4. Let t = j - -8. Determine t*y(z) - 13*h(z).\nAnswer: z**3 + z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1336*x**2 - 323.\nAnswer: -2672*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 279, 204, 73, -114, -357, -656?\n\"Answer: -28*m**2 + 9*m + 298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5\/(10\/4) + 3. What is the units digit of 1 - -1 - (-2 - c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 53 + -56. Let q be 0 - (-2 + (n - -4)). Let s be (4 + -1)*(-4)\/6. Which is the closest to s? (a) q (b) 5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -60 + 99. Suppose -8*i = -4*i + 2*p - 42, 4*p + 48 = 3*i. Suppose 4*r = 2*z + 72, 0*z - i = -3*z. Calculate the remainder when v is divided by r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 2305 = 7*y. Let z = y + 60. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3553 and 19.\nAnswer: 3553","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.8 + -0.2. Let i = x - 0. Let h = i + 0.9999989. Round h to six dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 67 - 199 = 0. Let b = -26 + s. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(1900) + (sqrt(1900) - (sqrt(1900)*2 - sqrt(1900)))**2 + sqrt(1900)) - (1 + 2*sqrt(1900) + sqrt(1900))**2) + -3.\nAnswer: -17104 - 140*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12130 (base 4) to base 16.\nAnswer: -19c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 10) in base 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 times -73332?\nAnswer: -43999.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.67 + -5.670008041. What is u rounded to six dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1406\/30932)\/((-2)\/16*-6)\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.09 and -0.0409.\nAnswer: 0.003681","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of 7*x**3 + 6*x**2 - 37. What is the second derivative of k(o) wrt o?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y. Let x(i) = 7*i - 4*i + 8*i. Let n(p) = -5*g(p) + x(p). Calculate n(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15.8+-22745804\nAnswer: -22745788.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vdzndzcdcvcdzddzn. Give prob of picking 1 v and 1 z.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-24 - (-1 - 2))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37204 is divided by 911.\nAnswer: 764","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -425 + 507. Let l = 1367 - s. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 + 512*v**2 - 46516*v + 9450. Calculate r(394).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 64, 62\/7, 9, -0.6?\nAnswer: 62\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 936 = 17*r + 22*r. What is the second derivative of -m - r*m**5 + 140*m**5 + 56535*m**2 - 56535*m**2 + 94 wrt m?\nAnswer: 2320*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -5*r + 24, 0 = -4*h + 3*h + 5*r + 6. Let o(w) = 79*w**2 + 5*w + 6. Let s be o(h). What is s rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 61765 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 208*c = -208*c - 141 - 691 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(152)*-1 - sqrt(152))\/sqrt(8) + (-4 + (1 + sqrt(19) + sqrt(19))**2)*-2.\nAnswer: -144 - 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 + -8. What is the second derivative of -m**5 - 4*m**5 + s*m**5 + 6*m**5 + 4*m wrt m?\nAnswer: 100*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1527 * -27.839\nAnswer: 4.2510153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -2*m - 3 - 4*m + 0. List the prime factors of w(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 4*a**2 + 41 - a + 3*a**2 - 45. Let w be n(3). Calculate the common denominator of 17\/5*(-100)\/w and 65\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 5*m = 24 - 69, -y + 3*m = 20 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*t - 2 + 2 + (0 + 4 + 0)*(-t - 5*t + 7*t) + 0*t - t + 4*t)*(1 + 2*t - 1) to s*t**2 + d*t + p and give s.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - 0. Let l(c) = -1 + 5 - g + 3 - c. Let h be (-10)\/25 - (-2)\/5. What is l(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 - 9*i**2 - 10*i - 12. Let t be n(-8). Let a be (-21)\/(-5) + t\/(-20). Suppose -c - c + 3*w = -36, -2*w = a. What are the prime factors of c?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 AM and 4:23 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of 1\/25*v**5 - 1\/20*v**4 + 1\/10*v**2 - 1\/5*v**3 + 2\/5*v - 8. Determine s so that a(s) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4777, -5612, -7003, -8950, -11453, -14512?\nAnswer: -18127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.21 - 313013585?\nAnswer: -313013574.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 2 t when four letters picked without replacement from zztiizitzziz?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 11:18 AM?\nAnswer: 3:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 5*m + 19, -11 = 3*p - 0*m - 2*m. Which is the nearest to 0? (a) -2 (b) 5 (c) p (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -57. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-1)*a)\/a*a)**(3\/17))**(-9)*a**(-5)*a*a*a*a**(5\/4)*(((a\/((a**(-4\/3)*a)\/a*a))\/a)\/a)\/a*(a\/(a**(-2)*a))\/a assuming a is positive.\nAnswer: a**(-17\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 4) to base 11\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/((n*n**(-6)*n)\/n)))\/n*n**(3\/2)*n*n**(-2\/15)*n**(-1\/5))\/((n**(1\/3))**(-12\/11)*n**2*n*n**3*n) assuming n is positive.\nAnswer: n**(-691\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -82 - 658. Does 10 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 - 8*y + 7. Let c be g(7). Suppose 8 = -c*z - 4*z. Let d = 1.98 - -0.02. Sort 0, d, z in decreasing order.\nAnswer: d, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = 14*h - 11*h - 18, -28 = -4*h + 5*g for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 2*w**2 + 60 + 3*w**2 - 420 - 365*w - 3*w**2 - 7*w**2 = 0.\nAnswer: -72, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 q when two letters picked without replacement from {n: 5, q: 9}?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o. Let x be h(-4). Let q be x + (-1)\/4 + -3. Let f = 55\/2 + -28. Which is the nearest to -0.1? (a) f (b) q (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -235413*h*r**4 - 2*h*r**3 + 12*h*r**2 + 415*r**2 wrt r?\nAnswer: -5649912*h*r - 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 (base 15) in base 6?\nAnswer: 11223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*a*c**3 - 5*a*c**2*d**3 - 16*a*c*d**3 + 13*c**3*d**3 + 4*c**2*d wrt c.\nAnswer: 30*a + 78*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 24 + 4. Suppose -o*w + 4*w = 0. Solve -4*u + 2*u - 10 = w for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(-198)\/54 + 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7960*f + 315984 + 97936 = 0 for f.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, -8, -10 in increasing order.\nAnswer: -10, -8, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 8*h**3 - 76*h**2 + 27*h + 88. Let z(f) = 3*f**2 - f. What is the remainder when m(9) is divided by z(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94686493?\nAnswer: 11, 31, 25243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(1*(-8)\/(-14)). Let r = -10.7 - 36.3. Let i = r - -46. Which is the nearest to 0? (a) i (b) -1\/4 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiaasaicaiwa. What is prob of sequence awsc?\nAnswer: 1\/2376","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20 + 18. Let j = 2 + t. Let q be 1\/(-4)*6*1. What is the biggest value in q, 3, j?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2020\/4343*(-129)\/(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -3*o**2 + 33*o + 40. Determine t(16).\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x**3 + 297*x**2 - 367*x - 10868. What is k(147)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 494 and 1144.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/2*6*3\/2. What is the highest common factor of 171 and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 286 - 285.881. What is o rounded to two decimal places?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 5*y - 10*y + 2007, j = 2*y - 801. What are the prime factors of y?\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 197, 203, 221, 257, 317, 407?\n\"Answer: y**3 - y + 197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 + 17*w**2 - 13*w + 11. Let j = -33 + 49. Let u be x(j). Suppose v = -i + u, 0*i + 4*i = -2*v + 234. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 9 = 21. Solve -5*q + 3 = 3*s, -l*s + 5*q - 29 = 2*q for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-12)\/2)\/3)\/(54\/45).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54758334317 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/9 + 18325288*x\/9 + 18325286\/9.\nAnswer: 2*(x + 1)*(x + 9162643)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -7\/5, 5, -3, -1016?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5753 - -5186.3. Round j to the nearest 10.\nAnswer: -570","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 + 4*b + 5. Let s be d(-4). Suppose -3*r + 133 = 28. What is the highest common factor of r and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/30 of a century?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.23? (a) 0.4 (b) -10\/7 (c) 4 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -289580085*d*w**3 - 401*d*w**2 + d*w - d + 37924*w**2 - 2 wrt w.\nAnswer: -1737480510*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*h - 24 = 5*a + 29, -5*h = -2*a + 7*a + 5 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 2. Suppose 0 = -t - z*k + 21 - 6, 15 = -5*t + 3*k. Suppose -d - 12 = 3*r, -d = -3*r - t*r - 12. Solve 2*u - u - 1 = d for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/10 - 80\/(-150). Which is the nearest to -1? (a) y (b) 0.4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 5*z**2. Let l(h) be the second derivative of -59*h**3\/6 + h**2 - 11*h - 48. What is a(l(g))?\nAnswer: 17405*g**2 - 1180*g + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 15*i**5\/2 - 10205*i**4\/2 - 488605*i**3\/6 - 481015*i**2\/2 - 133950*i - 20880 = 0.\nAnswer: -12, -3, -1\/3, 696","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 142349319 to the nearest integer?\nAnswer: 522","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -5*m**2 - m + 49. Let x(g) = -21*g**2 - 4*g + 192. Give -4*x(t) + 15*y(t).\nAnswer: 9*t**2 + t - 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 95812331 to the nearest integer?\nAnswer: 458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/2060 and -67\/48?\nAnswer: 24720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1310 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of z**6\/2 - z**2\/2 + 1. Find the second derivative of p(u) wrt u.\nAnswer: 60*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g - 1. Let c(h) be the third derivative of h**4\/24 - h**3\/3 - 15*h**2. Let k(w) = -5*c(w) + 6*p(w). Suppose 4*d = -4*d - 24. Determine k(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1975 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -9*k - 1. Let q be a(3). Let i be q\/(-1) + (0 - 1). Let p = i - 12. Does 6 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5\/2*w**4 + 15*w**2 - 10*w + 5\/2 - 10*w**3.\nAnswer: 5*(w - 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*f + 5*h - 15, 0 = 3*f + 5*h - 419 + 412 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-367236)\/(-2106) - (-2)\/(-13). Let k = -174 + b. Solve -k*s**2 + 4\/3*s - 2 = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 9.364946mg?\nAnswer: 0.009364946","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i, 1 f, and 1 e when four letters picked without replacement from {f: 1, e: 5, i: 4}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -2169.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -17c (base 14) to base 3\nAnswer: -102100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -37*y - 154. What is s(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(1\/1)*0. Suppose 0 = u + 4*u - 10. What is the nearest to o in u, -1, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 - 3*f. Let p(h) = 587*h**3 - 3522*h**2 - 10566*h. Give -3522*l(z) + p(z).\nAnswer: 587*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 57804054 divided by -21?\nAnswer: -2752574","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jygy when four letters picked without replacement from {j: 4, p: 3, g: 4, y: 4}?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1395, -9113, -30069, -70887, -138191?\nAnswer: -238605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 PM and 2:15 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -14420216 + -1?\nAnswer: -14420220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*r**3\/9 + 933130*r**2\/9 + 1866254*r\/9 + 311042\/3 = 0. What is r?\nAnswer: -466563, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 459371.004 rounded to the nearest 10000?\nAnswer: 460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 37015320 by -940.\nAnswer: -39378","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 45\/69838 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -68, 0.06, -5, -2\/3, 6?\nAnswer: -68","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 4*h + 14 - 78, -h - 1 = -4*a. Let c(s) = -s**3 + 14*s**2 + 14*s + 22. Let k be c(h). What is the highest common divisor of 91 and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.08? (a) -2\/17 (b) -10.23 (c) 8\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 - 3*q - 10. Let u(f) be the second derivative of -f**5\/20 - f**4 + 11*f**2\/2 + 7*f. Let g be u(-12). What is the tens digit of x(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*s**3 + 10*s**3 - 10*s**3 + 2*s + (-3*s + 2*s - s)*(s**2 + s**2 + s**2) as j + u*s**3 + l*s + d*s**2 and give u.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 69237?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4233970 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 3) to base 12\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (197*j**2 - 124 - 101*j**2 - 98*j**2)*(2 - 2*j - 2).\nAnswer: 4*j**3 + 248*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 462 and 336?\nAnswer: 3696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 683660.7 millilitres?\nAnswer: 683.6607","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18405?\nAnswer: 3, 5, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 17a302 (base 12) in base 16?\nAnswer: 64832","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (6 + -2) - (23 + 19 + 34 + -82).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1908 a multiple of 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*q + 69*q - 416. Let o(b) = b**2 - 3*b - 13. Determine o(q).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 29\/5992 or 0?\nAnswer: 29\/5992","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 821 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5912569 and 533.\nAnswer: 533","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 915561 by 2.\nAnswer: 915561\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.05799 + -1.05799. Let v = 0.6 + 0.1. Sort 0.1, v, r in increasing order.\nAnswer: r, 0.1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102 (base 5) to base 15.\nAnswer: 1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = -j - 23, 55 = -5*j - 40014*v + 40019*v for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7334.\nAnswer: 2, 19, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40544 and 154?\nAnswer: 445984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11846363 or -343544490\/29?\nAnswer: -343544490\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(5\/((-369)\/54 + 6)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 406247801 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 5*i + 70, j = 2*i + 2*i + 68. Let n be i - -16 - (1 - (-77 + 0)). Let g = n - -95. Calculate the greatest common divisor of g and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.007 + 0.107. Which is smaller: -3\/5 or z?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -65.9 - -72. Let s = 0.4 + t. Let i = s + -21.8. Round i to 0 decimal places.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -352 = -26*b + 985 + 2277. Calculate the remainder when 539 is divided by b.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (18\/(-12))\/(3\/(-16)). Let d be (-2 - (-12)\/r)*2. Does 13 divide (d + 40)*(2 - 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*j**2 - 8*j**2 - 18*j**2 + 2631*j - 2628*j - 23*j**2.\nAnswer: -73*j**2 + 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 e when two letters picked without replacement from {q: 1, j: 8, e: 1, s: 1, n: 1}.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 27189 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -126 + 4203?\nAnswer: 4044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 divided by 1?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -25, 5 in descending order.\nAnswer: 5, -4, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4685\/2 or 457?\nAnswer: 457","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14 and 146720.\nAnswer: 146720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -77985\/4 + 19483. Find the common denominator of (-18)\/4*(-34)\/(-21) and n.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/sqrt(2)*-3 + sqrt(30))\/(sqrt(160)*2 - sqrt(160) - sqrt(10))*-1.\nAnswer: 2*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 187 + 36. Which is greater: 1\/2 or y?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l + 11. Let j be t(8). Suppose -j*n + n - 4*y + 48 = 0, -4*n = -3*y - 74. Let s be 6\/15 - (-92)\/n. Solve -m - 15 = -v + 3*m, -v - m - s = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 146800 to the nearest ten thousand.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 174\/5*k**3 - 384\/5*k**2 + 3\/5*k**4 + 0 - 288*k = 0.\nAnswer: -60, -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 207409691 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -3.2. Let f = l + -0.1. Which is the closest to 0? (a) 2 (b) f (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20763 to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 424793381 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.932595 millimeters in centimeters?\nAnswer: 0.0932595","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 253*v + 3*u + u = 258*v + 31, u = 9*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-559)\/129*126\/273.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {h: 2, q: 4, a: 5}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.315 (b) -5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/6 + 1462*n**2\/3 + 2128645*n\/6 - 2146225.\nAnswer: (n - 6)*(n + 1465)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8594748 divided by 4.\nAnswer: -2148687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + (-40 - -51) - 69.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.6 + 1.2. Let y = 6.8 - o. Sort y, -3, 4 in increasing order.\nAnswer: -3, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 64151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 + 5 - -2) + 3 - -3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1504920356 to the nearest integer?\nAnswer: 1146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(4 + (-140)\/36). Let x = r - -1. Let d = -4 + 6. Solve 0 = d*f - x for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -522 by 3.\nAnswer: -174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -4*a - 30, 871 = 2*a - 2*x + 899. Let s = -98\/129 - -4\/43. What is the closest to s in 3\/5, a, -5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 5*h**2 + 28*h - 7. Let l be f(-6). Suppose -l*v - 339 = 86. Which is smaller: 1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28) - (3 + sqrt(3388))**2.\nAnswer: -3397 - 130*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 + -12. Suppose 0 = u*d + d. Let x(b) = -b**3 + b**2 - b + 8. What is x(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14)\/sqrt(112) - sqrt(50)*1) + -3 - (2 + (sqrt(1152) - (-6*(0 + sqrt(1152)) + sqrt(1152) - sqrt(1152)))).\nAnswer: -691*sqrt(2)\/4 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from {z: 2, w: 2, a: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-1))\/((-24)\/(-96)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27953 is divided by 76.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -199100 rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -149682*j*o + o + 530299 wrt j.\nAnswer: -149682*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - 2. Suppose 0 = 4*k + u*s - 51, 0*k + 33 = 2*k + 5*s. Suppose -5*q + 165 = l, -3*l + 19 = q - 0*l. What is the remainder when q is divided by k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -3*r. Let f(u) = 3*u. Let h(b) = -154*b - 459. Let t be h(-3). Give t*m(s) + 2*f(s).\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 20*(-13)\/(-312)*4*-6?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 1 - 3*p + (-5 - 20*p + 5)*(3 - 1 - 1) + p - 2*p + 3*p + p + 0*p + p to v + q*p and give q.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2538 divided by -846\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k + 31*k - 43758 = 0. List the prime factors of k.\nAnswer: 2, 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25 - -29. Solve -g - d*g = -20 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 309.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, d: 1, m: 1, r: 1}. Give prob of picking 1 v and 1 d.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -74 - p + 34 + 37. Give b(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - ((1 + 1 - 2) + 5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 614897?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 103409?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(66)*-1 - (sqrt(66) - sqrt(66)*1)*4)\/(sqrt(30)\/((sqrt(180)\/sqrt(4))\/sqrt(9))).\nAnswer: 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 + 98*c + 113866. Calculate b(-292).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.92031114 to 4 decimal places.\nAnswer: 0.9203","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of -i**6\/360 - 2*i**5\/45 - i**4\/6 + 12*i**2 - 2. What is n in q(n) = 0?\nAnswer: -6, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -7*a - 17. Let l be z(-15). Let f = 266\/3 - l. Is f at most 0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.03, -3\/88, 3, 4 in decreasing order.\nAnswer: 4, 3, 0.03, -3\/88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 3030 = 2*a - 5*a, 2*c - 2020 = -2*a. Round a to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((0 + sqrt(1872))**2*-4 - ((1 + sqrt(1872))**2 + 4)).\nAnswer: -9365 - 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -10028.54579 rounded to the nearest 10?\nAnswer: -10030","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 109, 160, 339, 724, 1393, 2424?\nAnswer: 3895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16218 and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 24*g**4 - 3*g**5 - 24*g**4 + (295 + 127 - 81)*(-2*g**5 + 2*g**5 - 2*g**5).\nAnswer: -685*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 PM and 8:50 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -235669620 by -20.\nAnswer: 11783481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 3079?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -215 (c) -1\/4 (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26\/221 + 118\/(-714))*7\/(-2)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4417, 36, -46 in increasing order.\nAnswer: -46, 36, 4417","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-75)\/10 - -9)*1346\/3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r + 6. Let l be c(8). Let f(i) = -4*i**2 + 5*i + 3. Let o be f(l). Let u = o - -18. Sort -3, u, -8 in ascending order.\nAnswer: -8, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3474?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 - -9. Suppose 4 = 3*m - p. Solve -m - 1 = -j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.30694526 - -80144.\nAnswer: 80148.30694526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -87 - -24. Let c = r + 62.99999967. Round c to 7 decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -107 and -5.8?\nAnswer: 620.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23122*t**2 + t - t + 8520*t**2.\nAnswer: -14602*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Divide 274 by 48.\nAnswer: 137\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (94\/20 - (7 - 2))\/(323\/1615)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -22020244 - 114213?\nAnswer: -22140012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 41122 greater than 41122?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/3)\/(2\/96). Suppose 3*g + 11 = q. Solve 2*w = 6*l - l + g, 4*w + 13 = l for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24095 - -27.2829.\nAnswer: -24067.7171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 0)*(-3 + 4 + 0)*(-28*g**2 + 11*g**2 + 9*g**2).\nAnswer: 16*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -2*d**5\/3 - 128*d**4\/3 - 814*d**3 - 2340*d**2 + 40896*d - 76032 = 0.\nAnswer: -24, -22, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mrr when three letters picked without replacement from {q: 3, p: 6, r: 2, m: 1, l: 3}.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4908011, 4908009, 4908007, 4908005, 4908003, 4908001?\n\"Answer: -2*u + 4908013","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = h, 3*h + 5 + 1 = -3*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -4, -0.27, 0.2, -26757 in ascending order.\nAnswer: -26757, -4, -0.27, 0.2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 36486561 to the power of 1\/2, to the nearest integer?\nAnswer: 6040","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1245312314 (base 6) to base 9.\nAnswer: -30780471","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of y**7\/2520 + y**6\/360 + y**5\/120 - y**4\/3 - 4*y. Let z(o) be the third derivative of s(o). Solve z(c) = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/5)\/(2\/(-5)). Suppose -c*o = -2*r - 208, 2*r - 27 - 395 = -4*o. Does 35 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 59, 66, 77, 92, 111?\n\"Answer: 2*x**2 + x + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 32*j**3 - 8*j**2 - 18*j + 62. Let c(h) = 3*h**3 - h + 3. Let i(y) = 20*c(y) - 2*g(y). Factor i(s).\nAnswer: -4*(s - 4)*(s - 2)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4.52 in -3.5, -2\/19, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/17? (a) 0.104 (b) -933 (c) -3 (d) -1 (e) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a8 + -670?\nAnswer: -748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 170 and 1097945.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 3:23 PM?\nAnswer: 3:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = l + 8, 3*l + 3 + 9 = 5*m. Suppose 4*h - 134 = m*g, 0 = -0*g - 4*g - 8. Calculate the greatest common factor of h and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 + 7*c + 2. Let n be k(-7). Suppose -n*a + 13 = -3. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8999 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 41876?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -1. Suppose i*m = 13 - 1. Suppose -5*b + 75 = 2*s, -m*b + 39 = -s + 2*s. Calculate the remainder when s is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/6 and (-2)\/(3 + (-868)\/300)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6065.474ml in litres?\nAnswer: 6.065474","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 38007 - 37972. Suppose -4*h + 7 + 21 = 0. Suppose c = -0*c + h. What is the highest common divisor of i and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 - 14. Let q = -41 + 283\/7. Which is the third biggest value? (a) u (b) -1\/4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence znin when four letters picked without replacement from nizininninn.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1285 - 448. Is k a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -v**4\/4 + 47*v**3\/2 + 150*v**2 = 0.\nAnswer: -6, 0, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1296414 or -1296400?\nAnswer: -1296414","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5103 and 4347?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -310 - -660. Let v = s - 443. Which is the third biggest value? (a) -1 (b) v (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -1\/4, 17, 31\/2, 3, 90?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of 11*h**4\/78 - 161*h**3\/39 + 150*h**2\/13 + 3045*h. Suppose t(a) = 0. What is a?\nAnswer: 1, 150\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40210 (base 10) in base 15?\nAnswer: -bdaa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 941016 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -5*u + 2*d - 610, -2*u - 263 = 3*d. What is u rounded to the nearest ten?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 y when two letters picked without replacement from {g: 3, l: 7, y: 4, j: 1, d: 1, s: 4}.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 435620 is divided by 1541.\nAnswer: 1058","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*(-2 + (-3 + -29)\/(-4)). Let a(u) = -3*u + 28. Let j(i) = 10*i - 2. What is the remainder when j(4) is divided by a(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, t: 9}. What is prob of picking 2 t?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 210586594?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*z + 32*z**2 + 131*z + 13*z**2 + 2*z**2 - 64*z.\nAnswer: 47*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95 = -14*z + 25 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*l - 7*l - 12*l + (2 + 5 - 4)*(-3*l + 2*l + 0*l).\nAnswer: -18*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of 2\/5*t**3 - 1\/5*t**2 + 2\/25*t**5 + 0*t - 3\/10*t**4 - 6. Factor m(l).\nAnswer: 2*l*(l - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -995952202 or -995952203?\nAnswer: -995952202","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v**2 + 93*v**3 - 595*v + 595*v + 0*v**2.\nAnswer: 93*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 113515 (base 6) to base 16\nAnswer: 26b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 - -14. Let w be 1*9\/(45\/125). What is the greatest common divisor of w and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(1 + (-2*sqrt(684)*3 - (sqrt(684) - (sqrt(684) + sqrt(684)*-2))*-6)))**2.\nAnswer: 648*sqrt(19) + 221625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - h - 60, -3*t + 3*h + 36 = h. Suppose -3*w - 95 = -107. Put w, t, 1 in decreasing order.\nAnswer: t, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of -3*r**2 + 0 + 1\/3*r**3 - 1\/30*r**5 + 0*r + 0*r**4. Find l such that u(l) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1816.\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/3 - (-1960)\/770 - (-10)\/(-6).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -368600 to the nearest ten thousand.\nAnswer: -370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 157 - 65 = 4*l. Suppose l*i - 5644 = 12572. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 198653 is divided by 1790?\nAnswer: 1753","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -12*h - 19. Let d be u(-2). Let n be 0 + d\/((-30)\/4). Let z = 0 - 0.1. Which is the nearest to 0.1? (a) 2\/13 (b) z (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*m**3 - 20*m + 2*m**2 + 16*m + 2*m**3 to t*m + v*m**3 + g + h*m**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 4*y = 3*v + 9, 2*y = -v - 7. Which is the closest to 0.1? (a) v (b) -3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k = -24*k + 92790. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 12) in base 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(0 + (-2)\/(8\/4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - -2) + 7\/(-4). Let l = -3.09 - 0.04. Let f = l - -2.63. Which is the smallest value? (a) w (b) f (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*m + 9 = -23*m + 169. Which is the closest to -2\/3? (a) m (b) -0.4 (c) -23\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, 1, -17, -7778 in descending order.\nAnswer: 1, 0, -2, -17, -7778","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 101100?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 2*s + 111 - 128 = 0, 3*s = -3. Solve 4*g = 0, -4*g + x*g + 4 = q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 304877495*r**6 + 2*r**2 - 141866887.\nAnswer: 36585299400*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38581, 38760, 39059, 39478, 40017?\nAnswer: 40676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -8 - 14?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -42*w**4 + 21*w**2 + 7*w**6 + 42*w**4 - 7*w**2 wrt w?\nAnswer: 840*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4456, -9171, -14144, -19375?\n\"Answer: -129*l**2 - 4328*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 46 and 6026.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of 39*w**4\/4 - 210*w**3 - 567*w**2\/2 + 102*w - 65. Factor j(p).\nAnswer: 3*(p - 17)*(p + 1)*(13*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6989.7 rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from inyidij. Give prob of picking 2 i, 1 d, and 1 j.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 - 153*k + 397. Determine b(136).\nAnswer: -1915","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2. Let v(u) = 6*u**2 + 14*u - 9. Let k(s) = 5*s**2 + 1 + 12*s - 2 - 9. Let n(d) = -7*k(d) + 6*v(d). Determine n(j(i)).\nAnswer: i**4 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28208628?\nAnswer: 2, 3, 7, 37313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -31519 + 50226. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 37*u**3 + 5*u**2 + 3*u. Let o(a) = 2*a + 4. Let s be o(4). Let v be 32\/s*(-6)\/4. Let z be w(v). Round z to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-133)\/114)\/((-1)\/(-6))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/630 and -2 - (153\/(-1870) + -3).\nAnswer: 6930","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 7 + 7 + -4 + -7 + 4?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 3*u. Suppose -2*n + 11 = 2*p - 9, -4*p + 45 = 5*n. Let m = 3 - n. Let s be (3\/m)\/((-3)\/(-4)). Calculate c(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.1 + 0.4. Let f = v - 3. Which is the nearest to -1? (a) f (b) -0.3 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17 - -28. Suppose 3*b - 4 = -n, -b + l = -3*n - 7. Solve b*g + 2*g = -10 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pbyyfgbgbppfbppbl. What is prob of picking 1 g, 2 p, and 1 b?\nAnswer: 5\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-75)\/(-6))\/((-106)\/((-39856)\/188))\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2120852800 divided by -4?\nAnswer: -530213200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 PM and 6:08 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5 - -1 - ((-46)\/(-66) - 3) and 151\/12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 - 6*d + 3. Let y be w(-6). Suppose -2*o + y*x + 31 = 0, 5*o = x + 87 + 10. Calculate the greatest common divisor of 4 and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 5 + (7 - 2 - 3).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -18*w**3 + 82143*w**2 + 1545036?\nAnswer: -54*w**2 + 164286*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 346194407?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 45189985 divided by 2?\nAnswer: 45189985\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4131 + 2153011?\nAnswer: 2201142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3637.752s in minutes?\nAnswer: 60.6292","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 - (2 + 1) - -8 - -8?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 6, -161 = -2*w + 3*l - 43. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30 + -27. Let h be ((-1)\/(-5))\/(8\/(-10)). Which is the closest to 1? (a) v (b) -4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -3452*y + 28714. Give s(8).\nAnswer: 1098","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l + 13 + 6*l - 17*l**2 - 50*l**2 + 18*l**3 - 9 - 20*l**3 to t + s*l + b*l**2 + m*l**3 and give b.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -4, 28, -2, 8.\nAnswer: -7, -4, -2, 8, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 3*p + 8 = 0. Suppose -2 = -3*m + 2*m - 4*d, p*m + 5*d + 3 = 0. Let j be 16\/90 - m\/(-5). What is the nearest to j in 0, -5, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 + 10 + -15 - -2.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -46 + 5 + -2 - -4\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5018.363 nanograms to grams.\nAnswer: 0.000005018363","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of m**5\/12 - m**4\/8 + 7*m**3\/3 + 3*m. Let c(w) be the second derivative of x(w). What is the tens digit of c(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12935*r - 12931*r = -4*b + 24, 36 = 3*b - 3*r for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 160 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (q**3 + q**3 + 0*q**3)*(1 + 3 - 3) + (290*q + 124*q - 79*q)*(3*q**2 - q**2 - q**2) + q**3 + q - q to v + g*q**3 + w*q + z*q**2 and give g.\nAnswer: 338","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of 11*z**5\/30 - 34*z**2. Let p be t(1). Let d = p + -14. Calculate the greatest common factor of d and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 7) to base 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of -19*o**4\/12 + 2*o**3\/3 + 2*o**2 + 174*o. Let q(r) = 95*r**2 - 19*r - 19. Calculate -4*q(g) - 19*z(g).\nAnswer: -19*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 32969.\nAnswer: 5\/32969","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 3825?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 9) to base 8\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 - 8*n**2 - 6*n + 10. Calculate l(-8).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*f - 4*i = 18*f - 8, 0*i + 5*i = -5*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2*p**2 + 4*p - 5. What are the prime factors of s(12)?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -125 - -89. Let i be (a\/(-63))\/(2\/21). Let z(v) = 10*v + 6. Let j(g) = g + 5. Let h be j(-4). Let k(m) = -m - 1. Determine h*z(t) + i*k(t).\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 3*q - 50, 8 = -2*q + 6*q. Is h a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6055, 12125, 18195, 24265?\nAnswer: 30335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*r - 520 + 502 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-7))\/(3\/21*-2).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1018?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 137*z + 129. Calculate m(9).\nAnswer: 1362","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 1047*j**2 - 16*j - 9. Let q be r(-20). Let g = q - -240889. Round g to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b**3 + 53*b**2 + 12*b**2 - 158*b - 12*b**2 + 17*b**2.\nAnswer: -b**3 + 70*b**2 - 158*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -9*g - 3. Let y be -12*((-200)\/(-30))\/(-20). Let b(v) = -12*v - 4 - v + 3*v. Calculate y*z(m) - 3*b(m).\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 7:00 PM?\nAnswer: 5:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 3*h - 29. Let y be w(11). Solve 0*k - 4 = -y*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -97*k + 12. What is the remainder when r(-2) is divided by (-19 - -14)*((-18)\/5 + -1)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 3*u - 64, -u + 70 = -o - 6*u. Let x be o*-2*(-1)\/(-2). Suppose -6*g + g = -x. List the prime factors of g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 26\/104 + -1 + 6\/8. Suppose 2*r - 49 + 9 = 2*y, i = r - 5*y - 8. Solve -r = -4*v - 3 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1)\/5)\/(4\/24))\/((-558)\/620).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minus 0.2543?\nAnswer: 3.7457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -49, -90, -135, -184, -237?\n\"Answer: -2*v**2 - 35*v - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b**2 - 15*b + 7*b + 8*b**2 + 8*b.\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12060\/37 - -29\/148. Let f = w + 328. Factor -f*g + 3\/4*g**2 + 0.\nAnswer: 3*g*(g - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 9 = -0*v + v, -4*o - 5*v = -41. Suppose -2*k - 46 = -3*f - 12, 2*f - 28 = -o*k. Which is smaller: 11 or f?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.8 - 0.2. Let k = 5 - 5.4. What is the nearest to v in -5\/4, 0.4, k?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - 4 - -1)\/1 - -5. Let h = 9 - 5. Factor q**3 + t*q**4 + q**3 + 4*q**3 - 3*q**5 + q**h.\nAnswer: -3*q**3*(q - 2)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssss when four letters picked without replacement from ffssffffffsfffssfff.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3053.078 millimeters to nanometers.\nAnswer: 3053078000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 95\/24 - 21\/8. What is the closest to 1 in 0.4, s, 0.3, 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 + -4)*(-21)\/(-6) + 5981. What is the greatest common divisor of d and 116?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.827 + 0.087. What is x rounded to 1 dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15052 - 64912 = -1662*j for j.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 17*p. Let v(b) = 95*b + 35. Let i(c) = -8*c - 3. Let x(k) = -35*i(k) - 3*v(k). Determine x(d(u)).\nAnswer: -85*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 122\/(-236) - 6\/(-12). Let i be (1\/(-85))\/((-191)\/1910). What is the second smallest value in -5, i, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 27b + -2?\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 12 = -4*k, 0 = 5*k - 2*b - 2. Suppose -5*a + 15*a**3 + 0*a**2 + 4*a**k + 10 - 24*a**2 = 0. Calculate a.\nAnswer: -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 12, v: 3}. What is prob of sequence vv?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1731 + -1726. Let k = -0.8 - 0.2. Which is the closest to -1? (a) k (b) 1 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 + -9. Suppose 0 = -i + 3*r + 14, b*i + 13 = 4*i - 2*r. What is the remainder when 31 is divided by i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (9 - 5\/5)\/((-4)\/(-2)). Solve 0 + t = -f, 15 = -n - 5*f for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 31 + -27. Let i(o) = -11*o. Let c be i(-6). Suppose 3*l - 2*l = 2*u - 38, 3*l = -y*u + c. Solve -2*q - u = 4*w, -4*w - 2*q - 14 = -4*q for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 313 is divided by 160.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 95470155, 190940311, 286410467, 381880623?\nAnswer: 477350779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2063.3217 months in millennia?\nAnswer: 0.171943475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17 - -15. Let b be ((-1 + 2)*w)\/(-2). Solve -2*t = -h - b, 9 + 0 = 3*h for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26 - 15. Let l = 11 - m. Suppose s - 5*s + 62800000 = l. Round s to the nearest one million.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10\/14*(-490)\/(-210). Let v(n) be the second derivative of 10\/3*n**3 - f*n**4 + 0 - 5\/2*n**2 - 16*n. Solve v(r) = 0 for r.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 8. Suppose q*c - 48 = -c. Suppose -3*x - x + c = 0. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r = 7*r - 6*r. Let h = 2\/401 + 397\/802. Which is the biggest value? (a) 2\/17 (b) r (c) h (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 12 = 6*c. Suppose -4*t - 191 = 4*n - 607, 3*n = -c. Suppose 0 = -2*z + 4*y + t, -74 = -0*z - z - 3*y. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -149.28 times 11?\nAnswer: -1642.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.9*-629601.39\nAnswer: 566641.251","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14669 - -14670. Let l(t) = -20*t**3 + 14*t**2 + 20. Let i(r) = 7*r**3 - 5*r**2 - 7. Let m(z) = -17*i(z) - 6*l(z). Give m(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.08, 6, -0.9, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126*x - 26*x - 38*x - 25*x - 26*x - 17*x.\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 464 = -2*p, 9*x - 4*x = 4*p + 774. Is 11 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99)*-2*-6)\/sqrt(9) + 5 - ((sqrt(88) - (sqrt(88) - (sqrt(88) + sqrt(88) + sqrt(88) + sqrt(88)*-2)))\/sqrt(8) + sqrt(11) + -2 + 2))**2.\nAnswer: 100*sqrt(11) + 1125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*y - 55 = -19*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 35 in 1, 1\/2, 31\/3?\nAnswer: 31\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -212 = 7*l - 205. Suppose 3*o = 2*s + 2 + 15, -22 = -2*o - 4*s. Let b = o - 9. Sort b, l, 2 in ascending order.\nAnswer: b, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**3 + 5148*n**2 + 28660*n - 12288.\nAnswer: (n + 6)*(n + 1024)*(5*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/23 (b) -1\/7 (c) 6 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-60)\/42)\/5 + (-306784)\/(-56)*1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(2\/(-16)*-2). Let r = 14 + u. Let z = 1.1 - -2.9. Which is the nearest to 1\/3? (a) z (b) -3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/16*((-66)\/(-8085))\/((-3)\/20).\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 + 3*t**2 - 3*t - 7. Let a be x(5). Let h = 66 + a. Let p(b) = -b**3 - 5*b**2 + 4*b - 4. What is p(h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 0*q + 110. Let o = -43\/2 - q. Let r = -0.3 - -0.4. Which is the smallest value? (a) o (b) r (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 26\/(-10) + (-4)\/10. Suppose 0 = -20*o + 18*o. Let x be o\/(0 - (-6)\/(-3)). Sort z, x, -2.\nAnswer: z, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15 and 129270?\nAnswer: 129270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99 = 3541*p - 3539*p - 3*v, 5*p - 3*v = 99 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2. Let m(r) = -3823*r. What is a(m(x))?\nAnswer: -14615329*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 409?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 4*k = -212, -19*y + 3*k = -18*y - 31. Solve -7*v + 17*v = -y for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5877\/(-152802))\/(2\/20).\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 + -5. Let b = 8 + -4. Is b greater than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 75088335?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.19911784 rounded to three decimal places?\nAnswer: -0.199","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 44 and 12232.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3042 + 3066. Solve m*v - 54*v = -33*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*r + 17*r - 4*l = 56, 4*l = -5*r + 154. What is the greatest common factor of r and 480?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87 - 88 = -248*x - 919. Let l = -0.27 - 18.73. Which is the second biggest value? (a) 1 (b) x (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t**(-1\/3)*t\/(t**(2\/5)\/t)*(t\/(t*t*t*(t*(t*t*t\/(t**5*t))\/t)\/t))\/(t**(-2)*t) assuming t is positive.\nAnswer: t**(79\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gippiqp. What is prob of sequence giq?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -31 + 5*j**2 + 8*j**2 - 24*j**2 + 10*j**2 in the form w + g*j**2 + i*j and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 - 1. Let h(k) = -7*k**2 - 6. Let z(n) = -n**3 - 6*n**2 + 7*n + 6. Let v be z(-7). Determine v*p(c) - h(c).\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31 - -116. What are the prime factors of q?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1237 + 1305. What is the remainder when 2785 is divided by c?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23076580?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -1059.\nAnswer: 1\/353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -16. Let r = -11 + c. Is (-564)\/(-48) - 3\/r a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/(i\/i**(2\/13))*i)\/(i\/i**(4\/17)) assuming i is positive.\nAnswer: i**(307\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -14.1 (b) 3 (c) 2 (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-5 + 2*(1 + 3 + sqrt(675) + sqrt(675))*2))**2.\nAnswer: 42240*sqrt(3) + 693136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of 13*j**4\/24 - j**3\/2 + 6*j**2 + 3. Let f(a) be the second derivative of y(a). Differentiate f(i) wrt i.\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -548166 or -4933498\/9?\nAnswer: -548166","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1228, -1185, -1082, -889, -576?\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 2*j - 84, g + 223 = 5*j - 0*g. Let d(u) = 11 + 81*u + 44*u**2 - 88*u - j*u**2. Suppose 0 = -5*f - 4*s - 61, -11 = f + 2*f - 4*s. Determine d(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxjjxjnnnnx. Give prob of sequence jjnn.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.7018243 days?\nAnswer: 60637619.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4386 or 134?\nAnswer: 134","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 2:17 PM?\nAnswer: 7:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of f**3\/36 - 59*f**2\/12 + 3481*f\/12 - 221. Let k(q) = 0. Calculate q.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3819 - 1577. List the prime factors of m.\nAnswer: 2, 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -334*f**2\/3 - 658*f\/15 + 4\/15.\nAnswer: -2*(5*f + 2)*(167*f - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1874016 and 11.\nAnswer: 20614176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -22798093900 rounded to the nearest 1000000?\nAnswer: -22798000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**2 + 31680656*o + 62728997786896.\nAnswer: 4*(o + 3960082)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Is 40487668 a multiple of 596?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -c35 (base 16) in base 11?\nAnswer: -2391","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1245511 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -3*m**3 + 28431*m**2 - 60361200*m - 33985770048 = 0.\nAnswer: -459, 4968","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 316939 and 133.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 27590 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - x + 5 = 0, 16 = 4*c - x - 3. Let h(y) = y + 2*y**3 - 3*y**3 + 2*y + 4*y**2. List the prime factors of h(c).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 272 = -41. Is m a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -17*n + 4. Let t(g) be the first derivative of -9*g**2\/2 + 2*g + 6. What is 3*k(i) - 5*t(i)?\nAnswer: -6*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3234 is divided by 71?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2321034 divided by -2?\nAnswer: 1160517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35420 = 2*r - 4*b, -2*r + 5*b + 12266 - 47691 = 0. Round r to the nearest 1000.\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (121\/6)\/((-153)\/54 - -3) is divided by 37.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/120)\/(3*(-4)\/108)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*m - 155 = 417 + 58 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(45)*-2)\/sqrt(9))**2 + (sqrt(200)\/sqrt(4))\/sqrt(10).\nAnswer: sqrt(5) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 86 - 48. Suppose s - 4*a - d = 0, 84 = 4*s + 2*a - 14. List the prime factors of s.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 17 + 23 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 195 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.943 + -24.943. Let w = -265\/7 - -38. Sort j, w, 0 in descending order.\nAnswer: w, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1617 is divided by 60.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*p + 52 - 70 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16312?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**4 - 13000*m**3 + 21189900*m**2 - 210925000*m + 526501250.\nAnswer: 2*(m - 3245)**2*(m - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 21330 - -1?\nAnswer: 21331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/36 and (-83)\/(-12) + (-5)\/1.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**2\/3 + 3532*p\/3 + 1061464.\nAnswer: -4*(p - 1437)*(p + 554)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23617930 divided by 10.\nAnswer: -2361793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7910135 is divided by 117.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 39 = -83*n + 85*n, 2*y - 3*n = 46 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-2*sqrt(108) - sqrt(108)) - sqrt(108))**2*-4 + 5.\nAnswer: -84667","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 198 and 891?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -29*k + 8*k**3 + 1 + 16*k + 14*k**2 - 16*k**3 + 3*k**3 + 4*k**3. What is w(13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 303022*m**3 + 82530*m**3 - 3076*m**3.\nAnswer: 382476*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 506876, 1013752, 1520628, 2027504?\nAnswer: 2534380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -260*((-420)\/14)\/(-150)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -98 in 1, 0, -0.4, 5\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-3))\/((-712)\/16554)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2\/3 + 82322*n\/3 + 1694227921\/3.\nAnswer: (n + 41161)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-20)\/(-8))\/5)\/((-2)\/4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + 1a?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*j**2 + j - 20*j + 19*j.\nAnswer: 5*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k*k**11))\/(k**(1\/4)*k*k))\/((k**(-22)\/k)\/(k\/k**(-8\/5))) assuming k is positive.\nAnswer: k**(227\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -112, -116, -120?\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10730 + 12123. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/(-4))\/((-1)\/(-1)). Let g = -4.88 + 0.88. Which is the closest to 1? (a) g (b) s (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(320) - (sqrt(320) - (sqrt(320) - (2*sqrt(320) + sqrt(320))))*-1)\/(sqrt(32)\/(-2*sqrt(4))))\/(sqrt(16)\/(sqrt(162) - sqrt(2)) - sqrt(160)\/sqrt(5)).\nAnswer: 64*sqrt(5)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52292 is divided by 255?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 123644 divided by 1.\nAnswer: 123644","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -122122221121 (base 3) to base 14\nAnswer: -909d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of -n**4\/6 + n**3 - n**2\/2 - 327*n - 2. Calculate m(7).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2. Let i(j) = 5*j**2 - 7*j - 2. Let n(o) = i(o) - 6*q(o). Let w be n(-6). Suppose -3*r + 10 = a, -a = 2*r + w*a - 24. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*p + 3*r = 64*p - 9, 2*p - 3*r = 9 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(8\/(-2)) + (-58)\/(-8). Suppose 0 = -0*z - 2*z - 5*r + 1238, 1242 = 2*z + 3*r. What is the third derivative of -3*j**3 + f*j**2 + 624 - z wrt j?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, -34, -82, -146, -226, -322, -434?\nAnswer: -562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 497, 480, 459, 434, 405, 372, 335?\nAnswer: 294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/21)\/8 - (17 + 22814\/357 - -17).\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 381*k**3*v**2 - 9*k**3*v - k**3 - 3*k + 150 wrt v?\nAnswer: 762*k**3*v - 9*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -181 - -275. Suppose -4*z + v + 170 = 0. What is the highest common divisor of 6 and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130)*-1 + sqrt(130))\/sqrt(10) - (sqrt(208) + -4)**2.\nAnswer: -224 + 32*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, j: 5, l: 1, k: 2}. Give prob of sequence jj.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - 2. Let g be -1*(h + 3 + -2). Suppose 44 = 4*a - g*a. Solve 2*v - a = -1 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10.623 + -13.623. Which is the second smallest value? (a) -1 (b) 21 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102744391 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 41771.\nAnswer: -41771","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -12\/41 (b) -4\/13 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppd when three letters picked without replacement from {d: 2, p: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -9, 1208 in decreasing order.\nAnswer: 1208, 3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add 3539995721 and -0.3.\nAnswer: 3539995720.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-3))\/(70\/12)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = -3*c - 9*i - 9, 4*c + 2*i + 11740 = 11858 for c.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12185 by -3862.\nAnswer: 12185\/3862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -101 - -376. What is the remainder when t is divided by 57?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1\/30 - -23\/90. What is the closest to 1 in -0.04, q, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccccucubbccchh. What is prob of picking 1 b, 1 c, and 1 u?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 3*q**2 + 5*q - 2. Let d = 2742 + -2720. Let j(y) = -16*y**2 - 26*y + 11. Calculate d*x(v) + 4*j(v).\nAnswer: 2*v**2 + 6*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*x**4 - 50*x**3 + 50*x**3)*((-3*x - 2*x + 2*x)*(3 + 3 - 5) - 2 + 2 + 4*x + 0*x - x - x + (-x + 2*x + x)*(-7 + 3 + 3) + 3 - x - 3).\nAnswer: 20*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 9550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -35 - -73. List the prime factors of b.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -99 + 99. Which is the closest to j? (a) -2\/15 (b) 1\/8 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 minus 5272037?\nAnswer: -5272034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 25446.2 to the nearest one thousand.\nAnswer: 25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/2 or -21\/30326?\nAnswer: -21\/30326","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -3*h + 6. Let a(u) be the second derivative of -u**3\/2 + 7*u**2\/2 + 3*u. Let y(f) = 5*a(f) - 6*p(f). Find the first derivative of y(i) wrt i.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from waljlw.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -99 - 139362.\nAnswer: -139461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 60.541479ns in days?\nAnswer: 0.0000000000007007115625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 8692?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 28 + -28. Suppose c = 3*p - 6*b + b - 1, -3*p + 7 = b. What is the greatest common factor of p and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25, 71, 343, 881, 1775?\nAnswer: 3115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooodosodordodoo. Give prob of picking 1 r and 3 d.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 174.66542 and -0.1.\nAnswer: -17.466542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5356.93 litres to millilitres.\nAnswer: 5356930","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6006?\nAnswer: 2, 3, 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 1 - 2 = 0. Suppose -u = -3*d + f*u + 54, 3*d + 2*u = 36. List the prime factors of d.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - 0 - (0 - -10)) + -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -44\/6139 and 3\/10384.\nAnswer: 63747376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 62447?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88336.\nAnswer: 2, 5521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/9636 and 113\/141840?\nAnswer: 113897520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -83 + 2*p**3 + 83 + (-p + 2*p - 2*p)*(-4*p**2 + p**2 + 0*p**2).\nAnswer: 5*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18 - 21. What is the units digit of ((-36)\/16)\/(p\/104)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 12 = r. Let l be -7 + 6 + r*1. Let p be (-4)\/48*6\/l. What is the biggest value in 0.4, 2\/7, p?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 0.01.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 3*y + 0*y = 12, 2*a + 8 = 2*y. Let i = 17 - 2. Suppose -i = -2*l - l. Sort l, -4, a in decreasing order.\nAnswer: l, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 2*u + 107 = 0, 5*u + 0*u = -10. Suppose 2*z - 43 - l = 0. Round z to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -242, -516, -814, -1142, -1506, -1912, -2366, -2874?\nAnswer: -3442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1\/7)\/(r**0*r)*r**10\/r*r**(2\/15)*r)**47)**(-4) assuming r is positive.\nAnswer: r**(-177472\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13\/(234\/24))\/(48\/1116*-1).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5792 and 3258?\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 111795 and 5397.\nAnswer: 782565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110001000 (base 2) to base 12.\nAnswer: -288","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 3*k = 921, 4*n = -338*k + 340*k + 1222. What is the remainder when n is divided by 292?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -68, -138, -208?\n\"Answer: -70*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -10*c - 17. Let i(w) = 3*w + 6. Let a(x) = 7*i(x) + 2*q(x). Let t be a(-6). Let z(b) be the third derivative of b**4\/12 - b**3\/6 - b**2. Give z(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -62*a*f**4 - 19*a*f**3 - a*f**2 + 353*a*f + 9*f**4 + 2*f**2 - 2*f wrt f.\nAnswer: -1488*a*f - 114*a + 216*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 0*a**3 + 3*a + 3*a**3 - 4 + 0 - 3*a**2 - 2*a**3. Let f be t(3). Suppose 3*x = -0*x + f*u + 85, 5*u - 5 = 0. Does 10 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21411 divided by 2379?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 10111 (base 4) to base 2\nAnswer: 100010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 112957 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum 9 and -2009.\nAnswer: -2000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13\/(-39) - (-76)\/12) + -12?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6)\/15)\/(1\/5). Let j be 31\/35 - p\/(-7). Which is the biggest value? (a) j (b) 2\/9 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hkehhkhhkehde. What is prob of picking 1 e and 2 h?\nAnswer: 45\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) -3 (b) 2\/21 (c) -0.14 (d) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + 10. What is the greatest common divisor of 9 and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-70)\/2 + 2\/1. Let x = l + 88. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -2*sqrt(1573) + 1 + sqrt(1573) + -2 + ((5 + sqrt(1573) - sqrt(1573)) + 0 - (sqrt(1573) - sqrt(1573)*-5*2)))**2.\nAnswer: 264*sqrt(13) + 226513","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3083 - -3083.0892. Which is the nearest to y? (a) 2 (b) -5 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 25383547?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -220332 + -10?\nAnswer: -221002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 38 - 32. Solve 6 = 5*v + 5*k - 9, 0 = -2*k + h for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 - c + 1. Let w(n) = -10*n**3 - 5*n + 2. Let f(o) = 5*r(o) - w(o). Find the first derivative of f(i) wrt i.\nAnswer: 15*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13822 = 42*r + 2104. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/5538 and 36\/408889.\nAnswer: 2453334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -18*h + 167. Let x be n(9). Solve -x*z + 5 = -2*u, 3*u + 2*u = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 395 - 457 = -2*u, 0 = u + 5*q + 125 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -30 + -311421?\nAnswer: -312001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 0.651444 (c) 21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i + 4 - 4)*(-2*i + 0*i + 7*i)*(0*i + 0*i - 2*i**2).\nAnswer: -30*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(21)\/(sqrt(28) + sqrt(84)\/sqrt(3) - sqrt(28)) + (-1 + sqrt(108))*6 + sqrt(108)*-3*-4)**2 + 5.\nAnswer: -2387*sqrt(3) + 141771\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 151 + -154. Let l be ((-57)\/4)\/(24 + -6). Let n = 9\/8 + l. Put a, n, 2\/35 in increasing order.\nAnswer: a, 2\/35, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -27, 8, 13 in ascending order.\nAnswer: -27, 3, 8, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + c + 84 = 5*o, 0 = 5*o - 2*c - 83. Let r be -2*(4 + 55\/(-10)) + 13. Let z = o - r. Calculate the greatest common factor of 1 and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 4:44 PM?\nAnswer: 6:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*y**2 + 4*y - 4*y + 0*y + 0*y - 2*y**2 + (-y + 2*y + 0*y)*(-y - 4*y + 3*y).\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.0042 + 0.014213. What is c rounded to 4 dps?\nAnswer: 0.0184","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.04 + 5.04. Let s(m) = 4*m + 13. Suppose -2*o - 9 = 3*f, 3*o - 2*f = 4*o + 5. Let v be s(o). Which is the nearest to 0.1? (a) -0.4 (b) v (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 156725849 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3698313.\nAnswer: 3, 1232771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13359 - 13219. List the prime factors of j.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 5, 2, -0.3, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -11657\nAnswer: -3\/11657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38797 = -16*v + 24739. Let x = v + -2694. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 19 + 3 = w, 0 = 5*w + 10. Put -4, -1, 1, i in increasing order.\nAnswer: -4, -1, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (2 - 0) - (-46 + 23 + 20).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -128*r**3 + 9*r**2 + 42884 - 42884 in the form p + q*r**3 + c*r + g*r**2 and give q.\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 0 + 2)*(-f - 2*f + f) + f + 2*f + 0*f + (-2*f + 3 - 3)*(-4 + 6 - 3))*(1 + 0 - 2)*(-f + 2*f + 0*f).\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -15 and -5.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 5 = 29. Suppose -6*l = -v*l - 20. Let u be (-36)\/l + 24\/60. Solve 7 = u*f - 5 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78336.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = -2*l - 14. Calculate the remainder when (l\/(-13))\/((-4)\/(-58)) is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.477 and 491987489.\nAnswer: 491987488.523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24 by -77.\nAnswer: 24\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 - 7*p + 15. Give h(-4).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -4*c - 1. Let t be 0\/((-1)\/c*2). Let o(z) = -z - 1. Let y(g) = -g - 1. Let m(q) = 5*o(q) - 6*y(q). Give m(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16\/11? (a) -3 (b) 4\/19 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002221076399 to 7 decimal places.\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1102 - 22100200220?\nAnswer: -22100202022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 377 and 22520615.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 216173540?\nAnswer: 2, 5, 11, 29, 31, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24527547?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(52) - (sqrt(52) + -1)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, y: 3, m: 2, q: 1, f: 1}. What is prob of sequence fqm?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3072.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -15 + 15 + 151*s**2 + 188*s**2. Let t(x) = -2*x**2. Calculate c(t(a)).\nAnswer: 1356*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3099777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 60 = 4*d. Let n = -25\/2 - d. Is 1 at most as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 - 3*y - 5. Let v(o) = -2*o**2 - 3688*o + 1859*o - 5 + 1825*o. Determine 3*v(m) - 4*w(m).\nAnswer: -2*m**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/10*-14*25\/10.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(1 + sqrt(320) - sqrt(320)) + (-1 + sqrt(45))*-5)**2*2*-5.\nAnswer: -11740 + 2100*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00167204188 to four dps.\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 132401 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 3 = -j. Let z = 4 - j. Let h be 0 + (-1)\/(-3 + -2). Which is the second smallest value? (a) h (b) -0.2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123181700 rounded to the nearest one million?\nAnswer: 123000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 12281219.986 rounded to the nearest one thousand?\nAnswer: 12281000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of 3*u + 8\/3*u**3 - 105 - 4*u**2 - 1\/4*u**4. Determine i(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26*v**3 - v**3 + 0*v**3)*(-v**2 + 3*v**2 + 0*v**2).\nAnswer: -54*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -a**2 - 140*a + 9*a**3 - 139*a + 231*a wrt a?\nAnswer: 54*a - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 + 1 - (-8)\/((-24)\/(-9)). Do y and 2\/27 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -39 + 60. Suppose 0*c = 3*c - 9. What is the greatest common factor of c and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 5*q - 18404, 0 = q + 7*h - 2*h - 3697. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*u - 8*u + u + 20*u.\nAnswer: 33*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, j: 2}. What is prob of picking 1 f and 1 j?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 10, -110, -230, -350?\n\"Answer: -120*h + 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2032.\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1265, 1277, 1303, 1349, 1421, 1525?\nAnswer: 1667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 38524870?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -837999 greater than or equal to -838001?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -372064, -745804, -1119544?\n\"Answer: -373740*q + 1676","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 5*l - 9, 0 = -2*k - 3*l + 6 + 2. Suppose -k = 3*s - 19. Suppose 0*b + s = b. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1693518, -1693189, -1692642, -1691877, -1690894?\nAnswer: -1689693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73.94278 kilograms to micrograms.\nAnswer: 73942780000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 f when two letters picked without replacement from {v: 6, f: 4, p: 5, g: 1, s: 4}?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 18*n + 49 - 89. What is the third biggest value in 3\/7, n, -0.45?\nAnswer: -0.45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 55 - -6. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(120)\/sqrt(2))\/sqrt(3) + (sqrt(1280) - ((-1 + sqrt(1280) - sqrt(1280)) + sqrt(1280)) - sqrt(1280)))**2*4.\nAnswer: -112*sqrt(5) + 3924","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z**2 + 3*z + 1924. Give m(-30).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1315 and 35.\nAnswer: 9205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*y**3 + 55*y**4 - 9*y**4 + 246*y - 7*y**3 - 489*y + 245*y in the form c + g*y**4 + j*y**3 + l*y + o*y**2 and give g.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 + 4*i**2 - 12*i + 3. Let c be x(-6). Let o(f) = -3*f + 7*f**c + 4 - 3*f - f. Let h(d) = 4 - 2 - 5*d + 4*d**3 + d. Determine -5*h(b) + 3*o(b).\nAnswer: b**3 - b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 135 - -3?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*o - j - 22, -5*o - 8*o + j - 191 = -273 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 17*b - 20. Let j(h) = 16*h - 20. Let f(n) = 4*j(n) - 3*l(n). Differentiate f(y) with respect to y.\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 41, 1, -320?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -118083 - -677503. Suppose -2*i - 208974 = -o. Let q = 374777 + i. What is q rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 7 - 1)*(0*m + 0*m + 2*m)*(5 - 2 - 4)*(-141*m**2 - 170*m**2 + 395*m**2).\nAnswer: 1344*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -126 - -128. Sort 0, w, 1, 3 in ascending order.\nAnswer: 0, 1, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 17795, -1489, -4 in increasing order.\nAnswer: -1489, -4, 17795","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w + 9 = -8*w. Solve -w = 5*x - 18 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0.22, -0.5, -2\/7, -4, 8708?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 2\/5, 0, 2.13, -12\/5, -1 in decreasing order.\nAnswer: 2.13, 2\/5, 0.2, 0, -1, -12\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 8449, 32942, 73779, 130960, 204485, 294354?\n\"Answer: 8172*k**2 - 23*k + 300","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -482 + -579. Let i = 1560 + a. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10261*p**6 + 35992*p**2 wrt p?\nAnswer: 1231320*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 - 484*h.\nAnswer: -484*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 11*t**2 + 3343*t + 1320. Let o(w) = -5*w**2 - 1670*w - 657. Let v(u) = -5*o(u) - 2*z(u). Differentiate v(s) wrt s.\nAnswer: 6*s + 1664","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 400659 divided by -19079?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -49*y**5 + 119*y**4 - 67*y**3 - 23*y**2 + 16*y + 4 = 0.\nAnswer: -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*w - 4*v, 3*w - w = 2*v + 2. Let l be (-15 + 2 + 0)\/w. Suppose -6*k + l*k = 399. What are the prime factors of k?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3.384 (b) 22 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -l**4 + 240*l**3 + 12*l**2 + 43*l wrt l?\nAnswer: -24*l + 1440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 59515596?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 666 and 18973563?\nAnswer: 113841378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eight fifteenths of a decade?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 3, -0.2, -2, 0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/((-16)\/28 - (-50)\/210). Suppose 0 = -3*c + 2*c + 5, -3*c = 5*m - 35. Suppose 12 = w - m*p, -2*p - x*p = 3*w - 53. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven halves of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2884.6 + -2885.6. Which is the nearest to 0.2? (a) x (b) 3 (c) -1\/6 (d) 6\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o**2 + 320*o - o**2 - 303*o.\nAnswer: -4*o**2 + 17*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**5\/11 - 490*q**4 + 18870*q**3 - 377370*q**2\/11 - 590328*q\/11 = 0. Calculate q.\nAnswer: -2733, -1, 0, 3, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 468741*i**5 - 27068*i - 4?\nAnswer: 9374820*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - -3) + 0 + -3 - -3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 874953688 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -29*y**2 - 107*y**4 - y**3 + 29*y**4 - 164 - 4*y**2 + 165 - 9*y**2 wrt y?\nAnswer: -1872*y - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -187 - -749\/4. Which is the second smallest value? (a) 5 (b) h (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z. Let l(p) = 34*p**2 - p - 2*p + 13*p**2 - 30*p**2. Give l(k(q)).\nAnswer: 68*q**2 - 6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15 and 1315.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 120002 (base 3) to base 5.\nAnswer: 3112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 7*k + 8 + 2 - k**2 - 7. Let i be f(4). What is the first derivative of 2 + 26*t - 26*t + i*t**4 wrt t?\nAnswer: 60*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of 6*l**2 - 23*l - 6. Is 7 a factor of r(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*(-2)\/16*4. Let s be -3*3\/(-3)*o. What is the smallest value in s, 0.2, -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 6*j - 15. Suppose j + 0 = f. Suppose -f*a + 2*y + 21 = 0, 2*y - 4*y = -a + 11. Solve a*x - 15 = 0, l - 4*l + 2*x = -9 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13.9 + 13.896097. Round j to five decimal places.\nAnswer: -0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 28.2877 to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/(-24))\/(49\/28*-1).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -15*u**3 - 3*u - 3. Let n(j) = -4*j + 2*j + 4*j + 1 - 3*j + 2*j. Determine h(r) + 3*n(r).\nAnswer: -15*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-23 + -23 + 49 - 10) + 18?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -48 - -193\/4. Which is the closest to -2\/7? (a) 2 (b) 3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/51786 or 1\/3?\nAnswer: 5\/51786","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/3 + 16\/(-18)*-3. Solve -8*r = -k*r + 15 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (12\/15)\/((-4)\/30). Calculate the common denominator of -23\/3 and (31\/(-14) + 2)*c.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -505054 - 4?\nAnswer: -505102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -35 - -32. Put 0, x, -2 in decreasing order.\nAnswer: 0, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-198 - -191) + (3 - 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u*u\/(u**12*u)*u))\/u)\/u**(-5))\/((u\/u**(-1\/4))\/(u\/((u**(-7)\/u)\/u))) assuming u is positive.\nAnswer: u**(95\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15598499 is divided by 6779.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1586 (base 16) to base 8.\nAnswer: -12606","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 2*a. Let k be 11*(-2)\/((-8)\/4). Let y(l) = 54*l + k*l - 18 + 18. Calculate h(y(v)).\nAnswer: 130*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zcqzqqczq. Give prob of sequence qzcz.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 0.5, 3, -1\/7, 22 in descending order.\nAnswer: 22, 3, 0.5, -1\/7, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v + 4. Let j(a) = -4*a - 8. Let l(u) = 4*j(u) + 9*n(u). Let w(k) = k + 3. Let m(d) = -3*l(d) + 4*w(d). Let q(z) = -2*z**2. What is q(m(s))?\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 q when two letters picked without replacement from hcccccqcqqhvcvqhq?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -63507 or -571562\/9?\nAnswer: -571562\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 11*n + 198. Let h be k(-17). Solve -l + 0*l + 2*o - h = 0, -4*o = -16 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 - 24*t + 5. Determine i(-22).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-3)\/(-4 - (-303)\/(-294) - -5) is divided by 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.66 - -0.67. Let a = h + 2.99. Are a and -5\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 34 - 36. Which is smaller: q or 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(2\/37)\/b)\/b)\/b**(-1) assuming b is positive.\nAnswer: b**(-35\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 + 20*z + 11. Let g be i(-20). Let t(w) = 51*w - 3. Let x be t(2). Calculate the highest common factor of x and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12015 - 6620268\/551. Is u > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -54365 rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*w + w - 79304 = 0. List the prime factors of w.\nAnswer: 2, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(153) - 2*sqrt(153)*-6))\/((sqrt(900) + 1*sqrt(900))*-3).\nAnswer: 13*sqrt(17)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + 8\/6 + 9653\/147. Let j = 54 - -14. Which is bigger: s or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v = 37 - 7. Suppose f = 4*r - 212, 0 = -r - f + 5 + 48. Let y = r - v. What is the remainder when y is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 69523, 69523, 69525, 69523, 69511, 69483?\n\"Answer: -x**3 + 7*x**2 - 14*x + 69531","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 2*f**2\/11 + 8*f - 490\/11 = 0.\nAnswer: -49, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 33227786 > 33227787?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of 5\/4*l**5 + 2*l + 0*l**3 + 0*l**4 - 27\/2*l**2 + 0. Find the first derivative of w(n) wrt n.\nAnswer: 75*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 3*r + 101. Give v(-34).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35\/(21\/(-3))*(-12)\/330*22?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 - 3)*(-2*t**5 + 3*t**5 + 0*t**5) - 6*t**5 + 4*t**5 + 3*t**5 - t**5 + 5*t**5 - t**5.\nAnswer: 2*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -903 + 1848?\nAnswer: a45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(60) - sqrt(8640)*1) + (sqrt(540) - (sqrt(540) - sqrt(540)*-3)) + sqrt(60))\/(-6*(-3*(sqrt(972) - 2*sqrt(972)) - sqrt(972))))**2.\nAnswer: 1805\/11664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 95412351 and -11356.\nAnswer: 95400995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 3*h**2 + 5*h + 3. Suppose -5*z = 2*l - 10, 7*z - 3*z = 0. Suppose -4*s = -8*s - 8. Let g(f) = f**2 + 2*f + 1. What is l*g(c) + s*r(c)?\nAnswer: -c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/3 (b) -8 (c) -1\/921 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-51)\/(-136))\/(6\/8). Factor -s - 1\/2*r**2 + r.\nAnswer: -(r - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24305 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1047924334 - 0.1253\nAnswer: -1047924334.1253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i = -3*i - 2100. Suppose 4*s = -3*s + i. List the prime factors of s.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*g**2\/5 - 47378*g\/5 + 10528\/5.\nAnswer: (g - 5264)*(9*g - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -19\/4. Let s = 5.488 + -0.088. Let o = 8.4 - s. What is the closest to 2 in o, q, 0.5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + 79. Let i = v + 168. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 + 11 + 16 - 3*a - 59 + 21 - 5.\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 15 = 4*l. Let t be l\/2 + 11\/(-22). Suppose -p = -4*w + 2*p - 35, -4*w - 5*p + 5 = 0. Sort w, -3, t in descending order.\nAnswer: t, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*b**3 + 112*b**2 + 117*b**2 - 229*b**2.\nAnswer: -26*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 5212.\nAnswer: 26060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 1:47 PM?\nAnswer: 1:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -21*o**2 + 225*o - 623. What is l(4)?\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -95408.897 rounded to the nearest 100?\nAnswer: -95400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 2008.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16 + 10. Let h(c) be the first derivative of 17*c**3\/3 - 3*c**2\/2 - 7*c + 2. Is h(a) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22985189 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 3 - 6*s**3 + 6*s**2 - 3 - s**2 - 1 - 2*s - 7*s**2. Let m be -1 + 3 - (1 - 1). Let d be (1\/m)\/(2\/(-4)). Calculate v(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**3 - 2*r**3 + 2*r**3)*(58*r + 62*r + 23*r).\nAnswer: -143*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*s - s. Let x(m) = m - 1. Let z(p) = 2*p - 10. Let l(u) = 3*x(u) - z(u). Let n be l(s). Which is the biggest value? (a) n (b) 0.2 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 232 and 168548.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 5*f**3 - f**2 - 7*f**4 + 9*f**4 + 2*f**2 to k*f**2 + o*f**3 + z*f**4 + p*f + g and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.3 + -1.3. Let f = -44794 - -44793.9. Let o(d) = -d**3 - 8*d**2 - 7*d + 1. Let w be o(-7). What is the closest to g in f, 2, w?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4400000 (base 6) to base 14\nAnswer: 594c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18572 + -18567. Let m(h) be the third derivative of -1\/108*h**6 - 1\/108*h**4 + 0 - 2\/27*h**3 + 0*h - 15*h**2 + 4\/135*h**t. Factor m(i).\nAnswer: -2*(i - 1)**2*(5*i + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fzvnffzfninzfzf. What is prob of picking 1 f and 2 n?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20442*l**3*u**4 - l**3 + 78*l**2*u - 2*l*u + l wrt u.\nAnswer: 245304*l**3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 325420 (base 11) to base 4\nAnswer: 1332312230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 685591 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 1 + 2*c + 2 - 3*c + 5*c - c - 2*c + 0*c + 4*c - c - 2 + 2 + (1 + 2 - 5)*(0*c - 2*c + c) + 2*c + 4*c - 2*c as d + a*c and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -100, 1, 5, -41, -1\/5 in descending order.\nAnswer: 5, 1, -1\/5, -41, -100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -111, -368, -863, -1674, -2879?\nAnswer: -4556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -4*d**2 + 1844*d - 1924. Let t(j) = 3*j**2 - 1226*j + 1283. Let f(h) = -5*b(h) - 7*t(h). Let f(v) = 0. What is v?\nAnswer: -639, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-27) + 435\/1485.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 131\/328?\nAnswer: 131\/328","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two sevenths of a week in days?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/16 and 5\/196?\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(-21)*7*3\/(-9)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 739612417 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 + 62*u - 229. Let i be z(58). Let k(j) = 2*j + 1. Let w(x) = 1. Let f(l) = -k(l) + w(l). What is f(i)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1)\/46)\/((-176)\/(-32)))\/((-24)\/132).\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + r = -5, 66 - 134 + 77 = -3*r for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of g**5 + 74021*g**4 - 2*g**3 - 1513599*g.\nAnswer: 20*g**3 + 888252*g**2 - 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 + 532*n. Let x(j) = 7*j**2 - 4. Determine b(x(g)).\nAnswer: 49*g**4 + 3668*g**2 - 2112","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -82325514 divided by -41162757?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-18))\/(((-3)\/(-1))\/18)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.334+-53\nAnswer: -52.666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-22) + 80\/44. Suppose w*o + 2*k - 2 = 0, -4*k + 2 = 6*o - 3*o. Is (-1 - -3)*(-1 + o - -45) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 119919 and 3378.\nAnswer: 239838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.4? (a) -4\/5 (b) 3 (c) 49\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 161 and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11164?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -73 - -41 - -15 - (-24)\/2. Let h(w) = 26*w**3 - 5*w**2 + 3*w - 5. Let d(g) = 13*g**3 - 2*g**2 + 2*g - 2. What is t*d(u) + 2*h(u)?\nAnswer: -13*u**3 - 4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 4\/(-22) - 215064\/(-319)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1540, 1387, 1228, 1063, 892, 715, 532?\n\"Answer: -3*d**2 - 144*d + 1687","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 9 (b) 2 (c) 0.4 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -5622 (base 8) to base 2\nAnswer: -101110010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -4*t + 28. Let f be n(6). Let r be (1 + 13\/(-5))*10\/f. Let i(z) be the second derivative of z**5\/20 + z**4\/3 + z**3\/2 - 2*z**2 - 7*z. Give i(r).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/20 of a milligram?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 157*z**2 + 67*z**2 - 63*z**2 in the form o*z**2 + b*z + i and give o.\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100498 + 406954 = 24*d. Does 12770 = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1243 divided by 65?\nAnswer: 1243\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 - -2. What is the smallest common multiple of 3 and d?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wtsqwstsqqwwswcw. What is prob of picking 1 c, 2 s, and 1 w?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2293, 785, -4 in decreasing order.\nAnswer: 785, 0.2293, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 397970.\nAnswer: 2, 5, 17, 2341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -8*p + 1. Let s(l) = -l + 28. Let d be s(0). Let f(m) = -4 - 11*m + d*m + 2. Give 13*c(j) + 6*f(j).\nAnswer: -2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -5*v**2 + 12*v - 7. Let a be l(1). Suppose 4*q + j - 29 = a, -23 = -4*q + 4*j + j. Solve -q*r - 32 + 11 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3\/10, -0.4, 5 in increasing order.\nAnswer: -1, -0.4, -3\/10, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 5842 = 9*y - 5*y, -3*y = 3*n - 8790. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.9 - -0.9. Let p = 19 - 21. Let j = s - p. Which is the nearest to 0? (a) j (b) 0.1 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-45)\/((-2250)\/(-104)) + 10\/125.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -0*j + 5. Is j != 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -2416.\nAnswer: 12080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -139935.879 to the nearest one thousand.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 78023, 78017, 78013, 78011, 78011, 78013?\n\"Answer: b**2 - 9*b + 78031","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -108, -490, -1140, -2064, -3268, -4758, -6540?\nAnswer: -8620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 103 + -518\/5. Let y = 0.02508 + 2.97492. Let t = -3.8 + 4. Which is the third smallest value? (a) t (b) 4 (c) y (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.3673 + 1.4173. What is the smallest value in s, 0.4, -0.1, -1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 32 - 69. Let b = 1874 - 1927. Let g = p - b. Is g a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0 (b) -265 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 895731?\nAnswer: 3, 127, 2351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j**4 - j**2 + j - 2. Let s(r) = 132*r**4 + r**3 + 5*r**2 - 1462*r + 8. Let a(t) = -s(t) - 4*u(t). What is the second derivative of a(x) wrt x?\nAnswer: -1680*x**2 - 6*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1547\/(-91))\/((90\/10)\/(-9)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 156 (base 9) to base 13\nAnswer: a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -5*y**3 - 3*y**2 + 2. Is l(-3) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/8 + 7\/2. Let a = -30 + 27. Sort q, a, -4.\nAnswer: -4, a, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1004320406 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, h: 2, e: 4, a: 2}. Give prob of picking 1 h and 2 c.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 19? (a) -3 (b) 15 (c) 799\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19.2 + -19.6. Which is the closest to -2? (a) d (b) -2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c**3 - 2*c**3 - 4*c**3 + 2*c**3.\nAnswer: -7*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = -3*a + 11, 5*h = a - 0*a + 9 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5 - 0)*1\/1. Let j be (-1612)\/l - 10\/25. Suppose 4*h - j = -2*w, -3*w + 476 = -2*h + h. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -5*p. Let x(z) = -14154*z**2 + 462*z - 231. Let b(d) = 123*d**2 - 4*d + 2. Let l(t) = -924*b(t) - 8*x(t). What is u(l(s))?\nAnswer: 2100*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 2:48 AM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -126490 rounded to the nearest 1000?\nAnswer: -126000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -2\/11, -41?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1239 divided by -77760.\nAnswer: 413\/25920","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 6, g: 2, x: 2, h: 3, w: 4, d: 1}. Give prob of sequence xxhg.\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 5*l + 5. Let h(r) = r**3 - 9*r**2 + 8*r + 2. Let s be h(l). Suppose s*f = 3*u + 14 + 46, 104 = 4*f + 2*u. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7e + 0?\nAnswer: -7e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -280 + 409. Let i = 1159\/9 - c. Which is bigger: -1\/4 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-188)\/(-705))\/(7\/(105\/(-24)))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 2*v = -0*v - 19, -v + 13 = 2*n. Suppose 5*u - n = 4*u. What is the derivative of 9 - 9 + u*z + 25 - z wrt z?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c - 3*c + 4*c - 6*c.\nAnswer: -7*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -16, -3, 19?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of -1\/120*m**6 - 1\/420*m**7 + 0 + 0*m**3 + 0*m + 0*m**4 - 1\/120*m**5 + m**2. Factor k(h).\nAnswer: -h**2*(h + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rur when three letters picked without replacement from uuurnsr.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-10))\/(((-7)\/105)\/((-256)\/(-640)))\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 0. Let f = t - -3. Let u = 331 - 282. Calculate the greatest common factor of f and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -19, -53 in ascending order.\nAnswer: -53, -19, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(75) + 0 - (sqrt(363) - (sqrt(363) + sqrt(363) + -3)) - (2*sqrt(2112))\/(sqrt(121)\/(sqrt(44)\/sqrt(4))))**2.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4996*c - 5963*c - 5469*c + 27485*c + (-1 - 2 + 2)*(6*c - 3*c - 5*c) + c - 5 + 5 to the form z + b*c and give b.\nAnswer: 11060","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1453 take away -4.5942?\nAnswer: 1457.5942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -135 divided by -15.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 + 5*c**2 - 2*c - 4. Let p be a(4). Let b(q) = q**2 + 3*q + 4. Let n be b(-2). Solve -8 = 2*d + 5*y, n*d + 4 = -4*y - p for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 29*u = 28*u + 12, 5*z + 4 = -4*u for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/1095735 or 0?\nAnswer: 2\/1095735","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*t**4 + 31822673*t**3 + 184366663*t**2?\nAnswer: -72*t + 190936038","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1309, 1284, 1279, 1300, 1353, 1444, 1579, 1764?\n\"Answer: h**3 + 4*h**2 - 44*h + 1348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 3*u - 9 = 5*h, -9 = 3*h - 2*u. List the prime factors of 2 + 0 - 0 - h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.41 in -4, -0.2, 12.9, 1\/2, 0.2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 961985?\nAnswer: 5, 421, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 - -17. Does 0 = u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - 0) + (36 + -126 - -79)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1957, -3402, -4847, -6292, -7737?\n\"Answer: -1445*i - 512","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1374925?\nAnswer: 5, 43, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -720, -1442, -2164, -2886, -3608, -4330?\nAnswer: -5052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11453?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2338 from 548.\nAnswer: -1790","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u**3 + 2*u - 4 + 9*u**3 - 6*u**3 + 2*u**2 + 0*u**3 to the form y*u + m*u**2 + c*u**3 + j and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o, 3*r + o + 8305849538 = 1052569592. Let f be (-4)\/(-46) - r\/207. Round f to the nearest one million.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of -9 + 0*d**3 + 1\/10*d**4 - 1\/5*d**2 + 0*d. Solve b(q) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - -112440143?\nAnswer: 112440201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -6*o**3 + 243*o**2 - 10*o + 5. Let y(k) = -9*k**3 + 365*k**2 - 14*k + 7. Determine 7*x(p) - 5*y(p).\nAnswer: 3*p**3 - 124*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24466 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 95940*x**2 - 263*x - 770. Is k(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + a - 2 = -18, 0 = -4*y - 4*a + 32. Let l = y - 0. Suppose l = -m + 3*j, -m + 3*m = 2*j. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*g - 483862 + 483862.\nAnswer: -28*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - -266?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ekqcskkevckqeseke. Give prob of sequence kcck.\nAnswer: 1\/1428","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 297*j*s**2 + 37*j*s - 190*j + 47870494*s**2 wrt j.\nAnswer: 297*s**2 + 37*s - 190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 668998 is divided by 5310?\nAnswer: 5248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 24604\nAnswer: -1\/6151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*s - 2*s**2 + 0 - s**2 + 7*s**2 + 25*s - 1 to the form c + y*s**2 + n*s and give n.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**3\/2 - 339*f**2\/2 + 3300*f.\nAnswer: 3*f*(f - 88)*(f - 25)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2010096 divided by -36?\nAnswer: -55836","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 12*t - 6*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1271*k**5 + 70*k**4*r + 128478*k*r + 7*k wrt k.\nAnswer: 25420*k**3 + 840*k**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 28187812 to the nearest integer?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do -843701 and 8 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 84 - 84. Suppose 5*j + 4*b + 747 = m, -5*b + 132 = 3*j - 4*j. Let q = j + 554. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s - 2. Suppose -11 = -a + h, -4*a - 4*h + 11 = -3*a. Let g(k) = -3*k + 9*k - a*k + 9. Let d be 58\/(-6) + 8\/12. Calculate d*b(l) - 2*g(l).\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 + 40*h + 621. Let t be s(-12). What is the closest to -1\/5 in t, -0.2, 0?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 + -3 + 2 + 0 - ((-189 - -98) + 82).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1057382*x**3 - 1602157*x**3 - 6169466*x**3.\nAnswer: -8829005*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssr when three letters picked without replacement from ssskkskkskssrskskkk.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 265*w - 3735 = 3950 for w.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x**2 - 2*x + 1. Let h be ((-4)\/3)\/((-4)\/6). Let z be i(h). Calculate the highest common factor of 45 and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 54 and 2376?\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6) + (sqrt(6) - sqrt(12)\/sqrt(2)))*3 - sqrt(6) - sqrt(6) - sqrt(6))\/(-5*sqrt(9)\/sqrt(3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -26*z**3 - 34*z**2 - 33*z + 7. Let g(p) = -19*p**3 - 24*p**2 - 25*p + 5. Calculate 11*g(j) - 8*w(j).\nAnswer: -j**3 + 8*j**2 - 11*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of 40.285495 and 0.7.\nAnswer: 40.985495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3935087 to the nearest integer?\nAnswer: 1984","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 - 37 = 37*z + 19 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 68293827 a multiple of 1359?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, r: 12, q: 2, v: 1}. Give prob of sequence svr.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Divide -214 by 4.\nAnswer: -107\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 c, and 1 r when three letters picked without replacement from {y: 2, r: 1, c: 4, h: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -c**2\/5 - 7947*c + 914434\/5 = 0. Calculate c.\nAnswer: -39758, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 98720498449 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 6552036?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -6136249, -6136242, -6136237, -6136234, -6136233?\n\"Answer: -s**2 + 10*s - 6136258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of -a**2\/2 + a + 2706. Let r(l) = 4. Calculate r(i) - 2*v(i).\nAnswer: 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 3*x**3 + 2*x**2 + 3*x + 4. Let n(m) = -m**2 - 12*m - 14. Let o be n(-11). Let q be h(o). Calculate the remainder when 503\/4 - 17\/q is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20794325 - s - 20794325.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0, -0.5, 0.03, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 634332.\nAnswer: 2, 3, 52861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 5*o + 221 + 263, 0 = -5*o + 3*n - 512. Let f be 2 + -6 - 1881\/33. Let j = f - o. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (10*(-4)\/(-35))\/(2\/7). Suppose -3*h + 1 = -2*h, -91 = -v*z + 5*h. What is the highest common factor of 60 and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2*q**2 - 36*q - 355. Give w(25).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 + 27. Let g(n) = 13*n**2 - 24*n - 6. Let p(m) = -570*m**2 + 1064*m + 266. Let q(z) = 266*g(z) + 6*p(z). What is q(v(w))?\nAnswer: 38*w**4 + 2052*w**2 + 27702","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + 78?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + 17b2343?\nAnswer: 17b2340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 0.933 (c) -1\/2 (d) -2 (e) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -4 + 7 + 1 + 4*g + 0 - 14*g**2 + 19*g**2. Let i(z) = -3 - z**2 - 2 - 5*z**2 - 5*z. Determine 5*c(q) + 4*i(q).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 22490557 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 - 0) + 3 + -3. Let b = 29 - 21. What is the least common multiple of (k\/3*1)\/(-1) and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (((sqrt(7623) - 6*(3 + sqrt(7623))) + sqrt(7623) - (-1 + sqrt(7623) + 2)) + 0)**2.\nAnswer: 6270*sqrt(7) + 190933","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 381\/(-7) + 44\/(-28) + 2. Let k = p + 58. Calculate the highest common factor of k and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -2*h**5 - 36*h**4 + 58*h**3 + 2652*h**2 + 2320*h - 4992 = 0.\nAnswer: -13, -12, -2, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 103022402 (base 5) to base 3\nAnswer: 211022100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -3*p**3 + 12*p**2 + 2*p + 2. Let s(i) = 569*i**3 + 2 + 12*i**2 + 3*i - 1143*i**3 + 570*i**3. Determine -4*s(t) + 5*y(t).\nAnswer: t**3 + 12*t**2 - 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 279906?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1\/2, 262, 5\/3, -0.5?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 15727604 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, a: 6, b: 4}. What is prob of sequence ba?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/10)\/((-3)\/(-15)). Let l(i) = 7*i**2 + i**3 - 5*i**2 - 1 + i**g + 2*i**2. Suppose q - 25 + 6 = 4*u, -3*u = 5*q + 20. Determine l(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-five quarters of a millennium?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 9. Calculate the remainder when ((-11)\/2*-2)\/1 is divided by z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 6, b: 2, t: 1, e: 1, m: 2}. Give prob of picking 1 r and 1 b.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from ggdfffdfg.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 472*t**2 + 2138*t**2 + 1016*t**2.\nAnswer: 3626*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 51.3 + -51.2. What is the closest to -1 in q, 0.3, 2.33?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of 4*g**4 - 5 + 4 + 2*g - 1 - 1. Find the first derivative of u(m) wrt m.\nAnswer: 48*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175)\/sqrt(5)*5)\/(sqrt(5) + sqrt(450)\/sqrt(10)).\nAnswer: 5*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(1377) + -5 + -2*sqrt(1377)*-6 + ((-1*sqrt(1377) - sqrt(1377))**2 + -3 + -1)*-6.\nAnswer: -33029 + 72*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - -33. Suppose -4*w + 137 = j. Does 13 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y - 828 = -15*y. Suppose -4*q + y + 63 = 3*r, 3*r - q - 175 = 0. What are the prime factors of r?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14570478 divided by -1618942?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -53, -153\/1129, -1\/6.\nAnswer: -53, -1\/6, -153\/1129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9 or -4105\/479?\nAnswer: -4105\/479","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of 5*w**2 + 13*w - 12. Differentiate q(h) with respect to h.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w + 73 = 3*j - 4*w, 112*j - 3867 - 190 = -80*j - 5*w for j.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of -q**6\/120 - 7*q**5\/60 - q**4\/12 - 3*q**3\/2 + 5*q**2. Let b be k(-7). Let t = b + 0. List the prime factors of t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 101270983?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-90)\/12)\/(-15)*(94 - -4). Let t(q) = 120*q - 1. Let k be t(2). Suppose -2*u + g + k = 0. Does 19 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/10)\/((-4)\/392*-7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 + 10*i - 11. Give h(-12).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 5:26 AM?\nAnswer: 12:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*w + 4*y = -52*w + 26, -3*y + 9 = -3*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -21424, -2\/7 in descending order.\nAnswer: 3, -2\/7, -21424","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 - 11*s**2 + 7*s + 4. Let t be z(10). Let w = t + 40. Find the first derivative of 6 - w*c**2 - 7 - 3 wrt c.\nAnswer: -28*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1 and 449?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve z**2\/9 - 48824*z\/9 + 32548\/3 = 0.\nAnswer: 2, 48822","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 37 divided by 1\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 81.8 to the nearest integer.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9234 - 45*x**2 + 12076 - 21310.\nAnswer: -45*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -d + 15. Let i = d + -9. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -28517*k**4 + 49*k**2 - 3*k + 47.\nAnswer: -684408*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39 + 54 + 50 - 143 - 9*p**3.\nAnswer: -9*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 35 - 48. Let v be (-20)\/(-130) + (-63)\/j. Suppose -o - 5*n + 9 = 0, -3*o + 4*o = -3*n + 7. Solve -5*u + 40 = v*t, -o*t - 3*u = t - 32 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3729, 7465, 11253, 15093, 18985, 22929, 26925?\n\"Answer: 26*u**2 + 3658*u + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 8 - 4. Suppose 19 = -s*w + 51. Suppose -2*c - 10 = -7*c. What is the highest common divisor of c and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -18, 2\/7, -4 in decreasing order.\nAnswer: 2\/7, 0.1, -4, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 148533774?\nAnswer: 2, 3, 67, 369487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2477, 2489, 2505, 2525?\nAnswer: 2549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 5 + 0 + 1066*p + 4 - 12 in the form d + s*p and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9227 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1611 - -1608. Which is the third smallest value? (a) f (b) -0.5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*m**4 + 6486*m**3 - 3231*m**3 - 3240*m**3 - 5*m**4 + 3*m**4 - 2*m**4 + (m + 3*m - 2*m)*(m**3 - 3*m**3 + m**3).\nAnswer: -9*m**4 + 15*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a day in seconds?\nAnswer: 32400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 209753 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 56 = 4*d, b = -4*b - d + 175. Let o = -322\/9 + b. Put 0, -0.3, o in descending order.\nAnswer: o, 0, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/(-5))\/((-2)\/5). Let r(o) = 5*o**2 + 3*o - 2. Let m be r(i). Suppose -2 = -m*l + 10. Let w(v) = 3*v + 2. What is w(l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/48858 and -11\/11496.\nAnswer: 195432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 53509 (base 11) to base 15\nAnswer: 180c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100011111110011000 + 10010110?\nAnswer: 100100000000101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1970416)\/(-63) + 68\/(-153)?\nAnswer: 2, 7, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 22. Let s = 270 - 286. Let g = d + s. Which is the second smallest value? (a) 2 (b) -2 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10768893 by -3589631.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20.997 + 0.003. Let a = v + -17. Sort 4\/5, 0.4, a.\nAnswer: 0.4, 4\/5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 5335.074 weeks?\nAnswer: 53777545.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) 133502 (b) 2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 152.1 + -152.099989665. Round w to 6 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of 0*j + 0*j**4 - 22\/3*j**3 - 14\/5*j**5 + 20 + 0*j**2. What is the third derivative of i(p) wrt p?\nAnswer: -336*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -2, 11.8, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z. Let a(s) = -8*s + 6. Let c = 5 + -11. Let k(l) = -1. Let n(w) = c*k(w) - a(w). Determine b(n(i)).\nAnswer: 16*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1836)*-1 + sqrt(1836))*-3 + sqrt(1836) + (1*sqrt(1836)*2 - sqrt(1836)))\/(sqrt(30)\/sqrt(490) + -3*sqrt(192)))**2.\nAnswer: 119952\/27889","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.1, -0.32, 43, -3?\nAnswer: -0.32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (5 + sqrt(80) + -1)**2 + -2.\nAnswer: 32*sqrt(5) + 90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 500153 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.05 * -128.6.\nAnswer: 6.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 46\/7 and 12\/54084863.\nAnswer: 54084863","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2336 (base 8) to base 4\nAnswer: 103132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 63217056 divided by 26166\nAnswer: 2416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of -y**3\/3 - 3*y**2\/2 - 7*y - 5. Calculate the common denominator of w(-6) and 7\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 536775929 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence og when two letters picked without replacement from {d: 5, o: 3, x: 2, g: 5, y: 1}.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11674 - -20201. What is the hundreds digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 1)*(-c**4 + 4*c**4 - 2*c**4) + (0*c + c - 3*c + c**2)*(0*c**2 + 2*c**2 + c**2).\nAnswer: c**4 - 6*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 918 = -10*r. Suppose 0 = t - 4*t - r. Let s = -51 - t. Do 4\/15 and s have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 32*j**3 + 5*j**2. Let i(s) = -15*s**3 - 2*s**2 - s + 1. Let f(l) = 5*i(l) + 2*w(l). Let n(q) = 6*q**3 + 3*q - 3. Give -3*f(k) - 5*n(k).\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 450 and 18300.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)\/(sqrt(12)\/sqrt(4)))\/(sqrt(98)*-2) - (1*(sqrt(243) - (-2 + sqrt(243) + 0 - sqrt(243))))**2.\nAnswer: -247 - 505*sqrt(3)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -5. Let q be -1 - (l + 5)\/(-1). Suppose 12 = 2*f + 2*s, 0 = -3*f + f - 5*s + 6. Solve -4*c + f = m, -q*c = -5*m - 0*c - 32 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 2*v**4 + 1826*v**3 - 26020*v**2 - 59328*v = 0.\nAnswer: -927, -2, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**18*r)\/r**(-24\/5))\/((r\/(r\/(r**8\/r)*r))\/r)**(5\/14) assuming r is positive.\nAnswer: r**(1541\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p + 4*p = 0. Suppose -5*z + p = -70. Let m be 90\/14 - (-8)\/z. Solve 4*x - m - 9 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23449 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t + 8, j - 112 = -2*j - 4*t. Calculate the remainder when (-1846)\/(-16) + (2646\/(-144) - -18) is divided by j.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 651 - 650.9. Which is bigger: 40 or q?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14970 is divided by 831.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -340950 or -340942?\nAnswer: -340950","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -s + 14, -s - 5 + 3 = 0. Solve 0 = 8*f - a*f + 8 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of -w**2\/2 - 5*w - 8. Let s be y(-8). Suppose -s*j + j = -200. Round j to the nearest ten.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11058 + 11058 - 2*f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of -3*d**4\/20 - 19*d**3\/3 + 587*d**2\/10 - 37*d - 3525. Factor h(f).\nAnswer: -(f - 5)*(f + 37)*(3*f - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2192*l**3 + 3052*l**3 - 11 + 8.\nAnswer: 5244*l**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1680128 and 10.\nAnswer: 8400640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -20, -46, -84, -134, -196, -270?\n\"Answer: -6*w**2 - 8*w - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10\/35 - 57\/(-21). Solve -t - t - 15 = -5*q, q - i = -2*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 233 - 11425331?\nAnswer: -11425054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 948*r**2 - 1900*r**2 + 945*r**2.\nAnswer: -7*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum 74432.113382 and -12.\nAnswer: 74420.113382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21 - 11?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3\/7 - 18*p**2\/7 - 50*p\/7 + 66\/7.\nAnswer: 2*(p - 11)*(p - 1)*(p + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/5 + (-9)\/(-15). Solve u - m = -0*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ebb when three letters picked without replacement from ebb?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-45)\/36)\/(13\/(-156)). Solve 0 = -10*c + 15*c + l for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 972023024 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 4*o = -d + 4, -8 = -2*d + 4*o. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 3, 13, -3 in decreasing order.\nAnswer: 13, 3, 0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**1)**47*((x*x*x*x*x*x**(-1)*x*x*x)\/x)**40 assuming x is positive.\nAnswer: x**287","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 8:37 AM?\nAnswer: 7:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = -8*y + 124, -793 = 5*y - 5*f - 853 for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2556 divided by 36\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-9))\/(8\/(-3))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -6011700.8185447 - -0.5\nAnswer: -6011700.3185447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31792 is divided by 7945?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0255 plus 4.1169?\nAnswer: 4.0914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 2 g, and 1 b when four letters picked without replacement from {q: 3, b: 3, j: 3, g: 3, r: 2}.\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9868, -19727, -29582, -39433, -49280?\nAnswer: -59123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = 17*n - 64 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -150 + -22?\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + m - 58 = -3*m, 3*a - 37 = 4*m. Let k = a - 14. Suppose -20 = k*f, 4*w + 4*f = -0*w + 84. Calculate the greatest common divisor of 175 and w.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26\/7 - -151\/35. Let q = 146 + -138. Suppose 5*d = -2*p - 11, 4*p - 1 = q*p + 3*d. Put 1, o, p, -4 in decreasing order.\nAnswer: p, 1, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.86 + -4358?\nAnswer: -4358.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -25428800 rounded to the nearest 1000000?\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*k**3 - 2*k**4 + 12*k**2 + 103*k + 54 + 61*k - 92*k.\nAnswer: -2*(k - 3)*(k + 1)*(k + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(((-1 - -3)*1)\/(-6)). Suppose 3*b = -s*x + 30, -5*x + 12 = -4*x + 3*b. Solve 3*l + x = 3 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -537 + 1588\/3. Let f = 8 + r. Factor 1\/3*i**3 + i**2 + i + f.\nAnswer: (i + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 551866?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2. Let w(o) be the third derivative of o**5\/12 - 1083*o**2. What is -11*d(u) - 2*w(u)?\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3472607, 3472605, 3472601, 3472595, 3472587, 3472577, 3472565?\nAnswer: 3472551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -60 and 89240.\nAnswer: 89180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -157 - -162. Let z = 6 + -6.3. Let n = -0.4 - z. Which is the nearest to 0.1? (a) 1 (b) n (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.05 + -4.05. Let s be 4\/(-16) + 1\/4. Let z = -0.9 + 1. What is the nearest to s in z, -2\/7, x?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 - 4*j + 34. Calculate c(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1671 to the power of 1\/2, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4292553 to the nearest integer?\nAnswer: 2072","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*a + 1319 - 521 = -792. Calculate the greatest common divisor of a and 690.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 2*y + 476 = 0, -y = 2*u - 0*y - 322. Suppose d = o + 45, 2*o - u = 4*d - 7*d. Let q = d - -3. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 - 11*b**2 - 15*b + 27. What is d(12)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6514*i + 1556*i - 43765 = -14830 + 10729 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 220 and 592240?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/4 - 2559\/(-12). Suppose -f + 81 = g + g, 5*g - f - r = 0. Calculate the greatest common factor of 14 and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 8 + 11. Let q = 4 + n. Suppose -q = -s + 18. List the prime factors of s.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -41*r**2 + 6*r - 29. Let c(z) = 14*z**2 - 2*z + 10. What is 17*c(g) + 6*m(g)?\nAnswer: -8*g**2 + 2*g - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -420 (base 12) to base 2.\nAnswer: -1001011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 306\/(-34)*(-14)\/(-147).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 124012 (base 5) in base 10?\nAnswer: 4882","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -39583\/4 - -9887. Put -4, 0.2, r, 7\/5 in increasing order.\nAnswer: r, -4, 0.2, 7\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) 0.029 (c) -12.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11.9 - -11. Let x = 674.1 - 680. Let g = q - x. Sort 19, 0, g in increasing order.\nAnswer: 0, g, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 + 12*h + 2. Let v be j(0). Which is the smallest value? (a) v (b) 1 (c) 3\/2 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (110\/5775)\/(1\/5*-1).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 3*f = 199, -2*n + 11*f - 93 = 6*f. Let i = 82 + n. Let y = 21 + -9. Calculate the remainder when i is divided by y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -4*i**2. Let d = 18 - 13. Suppose -y = -d*y + 16. Let m(q) = -4 - q + y. What is c(m(w))?\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9)\/(-27) + 101\/3. Solve 5*j = -f + 19 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - 144?\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*v - 15*v - 18 = 4*c, -v - 3 = 2*c for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101*m = 33365 - 32557 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is three sixteenths of a day in minutes?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 8327*h - h**3 - 4 - 27768*h + 6.\nAnswer: -h**3 - 19441*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -4*b**3 + 65*b**2 + 34*b + 12. Let m be u(15). What is the greatest common divisor of m and 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -p + 180, 4*u - 296 + 96 = 4*p. What is the highest common divisor of 345 and u?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(80) + 0) + sqrt(80) - sqrt(15)\/(sqrt(3) + (-2*sqrt(432) + sqrt(432) - sqrt(432))))**2.\nAnswer: 167445\/529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15449 + -15309. Let f(x) = 9*x - 10. Let g be f(10). Calculate the highest common factor of g and m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27679157 and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a kilometer in meters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + 19bc16?\nAnswer: 19bc1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25080?\nAnswer: 2, 3, 5, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 + 2*r - 2. Let g(t) be the second derivative of t**4\/4 - t**3 + 3*t**2 + 161*t. What is -3*g(c) - 8*v(c)?\nAnswer: -c**2 + 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 114, 11\/27, -1.\nAnswer: -1, 11\/27, 114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 2*f. Let i(a) = -a**3 - a + 6. Let q be i(f). Let b = -5 + q. Solve j - 4 = -j, 2*j = -n - b for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-240)\/(-18))\/(-10)*(-2)\/(-444)*-9\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - o = -0*i - 20, i = -5*o - 20. Let f = 57 + i. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1314, -1284, -1346, -1500?\nAnswer: -1746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 PM and 10:30 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3903, 7806, 11709?\nAnswer: 15612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*r**3 + 21*r - 165 wrt r?\nAnswer: -6*r**2 + 21","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 1107 = -5*c - 329, 0 = c + 2. Does 11 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a3 + 2a315?\nAnswer: 2a222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1135?\nAnswer: 5, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119 is divided by 50?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7629452?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 264 and 462?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*q + 58*q + 690 = 0. Solve -6 - q = -25*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 3*m + 66 = 0, -2*m + 20 = q + 9. Solve q*w = 19 - 4 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 0 + 12\/5*x**3 + 3*x**2 + 3\/5*x**4 + 6\/5*x = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, d: 7}. What is prob of picking 4 d?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 11*t**2 - 7*t - 8. Suppose 3*d - 45 = 12*d. Let k be h(d). Suppose -2025 = -13*o + k. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 52*n**2. Let m(u) = -4655*u**2 - 159*u. Calculate m(s(y)).\nAnswer: -12587120*y**4 - 8268*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3550*m**3 - 2*m - 1902 wrt m?\nAnswer: 10650*m**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 5*m = 3 - 2, -3*z = 4*m - 38. Sort 2, -5, 3, z.\nAnswer: -5, 2, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 41 + -41. Suppose -r + 59 = 3*m, h = 2*r - 2*m - m - 91. Is r a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14252 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 574 = 6*w - 604, 2*w + w - 15 = 4*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 8 (c) -2 (d) -5 (e) -95\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58083 is divided by 57972?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1541046?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 552 + -218. Let a = 334 - n. Which is bigger: -10 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -21841, -21982, -22269, -22702?\n\"Answer: -73*h**2 + 78*h - 21846","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 43*v**6 + v**3 - 13*v**2 + 2*v.\nAnswer: 5160*v**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 2*t + 857 = 0, -2*f + 0*f = t - 562. Let y = 537 - f. List the prime factors of y.\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l - 4*l + l)*(1311*l + 492*l - 811*l) - 2 - 2*l**2 + 2 + (0 + 0 - l**2)*(-2 + 6 - 3) - l**2 - 1 + 1.\nAnswer: -1988*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - p + 1 + 66 = 0, -5*j = p - 83. Solve 3*s - j = -1 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.08607 - -1.08607. Which is the nearest to -27? (a) -1\/5 (b) -21 (c) r (d) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o + 16. Let n be u(0). Let z(w) = 5*w - 68. Let q be z(22). Let b = q + -18. What is the greatest common factor of n and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of -r**3\/3 - r**2\/2 + r - 880. Let l(n) = n**2 + 6*n + 1. Let y be l(-6). Let j(p) = -p**2 - 4*p + 4. What is y*j(v) - 4*x(v)?\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 127 = 29. Suppose r = -0*r + 5. Solve -3*v - 10 = -5*i, i + r*v = -0*v - g for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that m**3\/2 + 43*m**2\/2 - 2*m - 86 = 0.\nAnswer: -43, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -b, -3*y + 3*b = -y - 25. Let i(f) = 2*f - 10. Let x(k) = 5*k - 29. Let r(t) = y*i(t) - 3*x(t). Let q be r(-5). Is q > 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 3*l = 25, 17*l = -40*j + 38*j + 14*l + 31 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2332313130 (base 4) to base 9.\nAnswer: 1421363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2202 - -1021101212012?\nAnswer: 1021101202110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 7 + 2)*(-5*d - 2*d**2 + 5*d)*(-5 + 14 + 7).\nAnswer: 192*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -18, -33, -52, -75?\n\"Answer: -2*v**2 - 9*v - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1960 + -1959.7. Which is the closest to 0.1? (a) z (b) -3\/8 (c) 4\/5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9662 - 9657. Let p(k) = -5*k**3 - 6*k**2 - 9. Suppose -5*b + 1 = 31. Let u(q) = -4*q**3 - 5*q**2 - 8. Calculate b*u(c) + f*p(c).\nAnswer: -c**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/(-12))\/(35\/390) - 3. What is the fourth biggest value in 1, x, 0.2, 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -858 + 1216. Let l = m - 194. Is l a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one sixth of a year?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*l**5\/5 + 81*l**4\/5 + 453*l**3\/5 + 639*l**2\/5 - 456*l\/5 - 144 = 0. Calculate l.\nAnswer: -20, -4, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 6:18 AM?\nAnswer: 8:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o + 4. Suppose 4*x - 5*g - 10 = -5, 0 = x + 3*g - 14. What is s(x)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18744 and 20.\nAnswer: 93720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -217*s = -217*s + 4*m - 32, 3*s + 3*m - 51 = 0. What is r in -21\/2*r - 55\/2*r**2 + 37\/2*r**4 - 7*r**5 + s + 35\/2*r**3 = 0?\nAnswer: -1, -6\/7, 1\/2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**3 + 3*h**3 + 0*h**3)*(0*h**2 - h**2 + 2*h**2) + (-332256*h**4 + 8394*h**3 - 51795*h**3 + 332257*h**4)*(2*h + 0*h + 0*h).\nAnswer: 3*h**5 - 86802*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 77405049 and 77405049?\nAnswer: 77405049","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 0.010307825, -2\/47 in descending order.\nAnswer: 0.010307825, -2\/47, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108*w - 1 + 1692 = 81*w - 3034 for w.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-78)\/((-132)\/(-6)*(-21)\/(-154)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 + 21*u + 104. Let r be x(-7). Suppose 10 = -r*j + 16. Which is the nearest to 1? (a) 0.2 (b) j (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 371 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28713*g + 134*g**2 + 14*g**3 - 6*g**3 - 134*g**2 - 7*g**3 - 28713*g.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1360660200 rounded to the nearest 1000000?\nAnswer: -1361000000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: 30 divided by 11\nAnswer: 30\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 5*h = -99 - 3, 2*h + 27 = m. Let b be ((-18)\/8)\/((-6)\/(-24)). Let l = m + b. List the prime factors of l.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -61 divided by -7296\nAnswer: 61\/7296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2*c. Let n(h) = -h. Let r(p) = 7*n(p) - 4*z(p). Let k(d) = -2*d**2. Calculate k(r(s)).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 13*l + 97. Let w be d(-7). Is 12145 - (w + 28\/(-7)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1\/2*o**2 - 1\/3*o - 1\/6*o**3 + 0 = 0 for o.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 - o**2 + 2*o. Let c be p(2). Let g = 9 - c. Suppose 25*k + 21*k - 3128 = 0. Calculate the greatest common factor of k and g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 4*s = 29, -7*s + 23 = -3*b - s - 10*s - 4*s - 8 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 972, 4016, 9084, 16176, 25292, 36432?\n\"Answer: 1012*h**2 + 8*h - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-16)*g*g*(g\/(g\/g**11))\/g)\/(g**(-1\/3)*g**(-4\/3)*g*g) assuming g is positive.\nAnswer: g**(-13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53 = -v + 6*n, 10 = -v + 4*v + 5*n + 35 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -17 - -7a80?\nAnswer: 7a67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 362567, 361943, 361319, 360695, 360071?\n\"Answer: -624*u + 363191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10)\/35 - (-340)\/14. Solve -4*j + 4*c + m = 0, -2*c - 22 = -5*j - c for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/54466084 and -87\/836.\nAnswer: 599126924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 24*g**2 + 16*g - 12. Let v(m) = -19*m**2 - 15*m + 12. Let u(t) = 5*v(t) + 4*z(t). Suppose -4 = -4*p, -c = 3*c + 5*p - 37. What is u(c)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 PM and 8:18 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 0*k**2 - k**2 - k**2. Let w(f) = 4*f + 5. Suppose 5*j + 5 = -25. Let b(u) = -5*u - 6. Let y(l) = j*w(l) - 5*b(l). Calculate y(t(p)).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 35*v - 1 - 55*v - 2*v**2 - v**2 in the form h*v + x + k*v**2 and give h.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t - 2*t - t)*(2*t**2 - t**2 - 5*t**2) - 2*t**3 + 295 + t + 16*t**2 - 295.\nAnswer: 10*t**3 + 16*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 + 3*i**2 + i - 1. Let m(h) = 17*h + 4. Let d be m(0). Determine c(d).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4536913.2 to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 15 = -w - w, 0 = -3*l - 3. Let n(y) = y**2 - 4*y - 14. Let p be n(w). What is the hundreds digit of 227 - (p\/1 - 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 + 6*k + 4. Let z be a(6). Let o be (1 - 3 - (5 + -3))\/(-1). Find the third derivative of -3*v**4 + 6*v**z - 5*v**2 - 2*v**o wrt v.\nAnswer: 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f and 1 i when four letters picked without replacement from ffjfi?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 694 + -671. Find the second derivative of -27 + 49 - 5*a**4 - 13*a + 2*a**4 + 22*a**2 - y + 5*a**4 wrt a.\nAnswer: 24*a**2 + 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 365 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: Is 29616 != 33299?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v**3 - 115*v**2 + 546*v + 1323. Give n(52).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of q**6\/30 + 5*q**4\/4 + 4*q + 13. Let s(m) be the first derivative of i(m). What is the third derivative of s(t) wrt t?\nAnswer: 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 61429, 61393, 61355, 61315, 61273?\nAnswer: 61229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -8, 6, 1\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of q**3\/3 + 58*q + 6. Let f(g) = -192*g + 2. Calculate z(f(v)).\nAnswer: -384*v + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 77\/5 of a litre in millilitres?\nAnswer: 15400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -421, -306, -189, -70, 51?\n\"Answer: c**2 + 112*c - 534","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, a: 2, f: 5, q: 1}. Give prob of sequence fa.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1639\/2 or 821?\nAnswer: 821","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - 3*q + 18208, 0 = 2*l + 10*q - 7*q - 7276. What are the prime factors of l?\nAnswer: 2, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - -72)*137\/274. Is 67 > g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 + -61. Let l = v - -47.9. What is the nearest to l in 1\/24, 0.4, -1?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.82 - 0.28. Let j = g + 3.1. Which is the smallest value? (a) -0.4 (b) -2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22765117 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 13\/8 of a decade?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 78, 85, 92, 99, 106?\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5852?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 + 958*x - 41374. Determine u(41).\nAnswer: -415","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 276 is divided by 138.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.23? (a) -0.1 (b) 10 (c) 5 (d) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**2*s**(-5)*s)**5\/((s**(-3\/8)*s\/(s\/(s*s**5)))\/s**9) assuming s is positive.\nAnswer: s**(-53\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 7, v: 2}. What is prob of sequence vw?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 8*t**2 - 2*t. Is u(4) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15200871 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h**2 + 121*h - 1148. Let g(p) = -2*p - 18. Let l(c) = 2*g(c) - w(c). What is the first derivative of l(v) wrt v?\nAnswer: -4*v - 125","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2\/2 - 7725*i + 15451\/2.\nAnswer: -(i - 1)*(i + 15451)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -10*f + 5*h + 15, h = -f + 3. Suppose f*x = -x + 20. What is the second derivative of 4*u - 2*u - u + 3*u**x wrt u?\nAnswer: 60*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 4 = 5*i. Suppose 4*h = 5*m - 11625, 3*h + m + 8715 = i*m. What is h rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 26702, 38620, 50538, 62456?\n\"Answer: 11918*a + 14784","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-1 + (-15 - -9)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + -26112937?\nAnswer: -26112938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + 78\/(-8 + 2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 6, 22, 1 in increasing order.\nAnswer: 1, 6, 9, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*w - 1 + w + 0)*(-6*w + 18 - 2 - 2*w) in the form x*w**2 + k*w + f and give k.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 41, 35, 31, 35, 53?\n\"Answer: j**3 - 5*j**2 + 2*j + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -12 + 13 - 143*x**2 + 132*x**2 + x. What is p(-1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95*c - 30*c = 45*c - 18080. Which is bigger: -902 or c?\nAnswer: -902","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 413.5 - 413. Suppose 4*s - 5*i = 32, -3*s + i - 4*i = 3. Suppose -6 = -6*x + s*x. Which is the biggest value? (a) y (b) -2\/9 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5127.53 litres?\nAnswer: 5127530","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 951*t + 3*w = 947*t + 4, -5*t - 2*w + 12 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 - 1. Let j(d) be the second derivative of 5*d**4\/12 - 7*d**2 - 7*d. Let v(q) = j(q) - 4*w(q). Does 7 divide v(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6208*0.4\nAnswer: -2483.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/2*136\/(-51) + (-29064)\/9. Is -3234 at least q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33709397.\nAnswer: 29, 379, 3067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/21, -24046, 3, 0.5?\nAnswer: -24046","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 8180 divide 3120867866?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 174 and 2697.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**2 + 1995*p - 26442.\nAnswer: 3*(p - 13)*(p + 678)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63452009.\nAnswer: 23, 31, 88993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -81 by -9.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -611*t = -218*l - 616*t + 218, 0 = -4*l - 4*t + 4 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + -2 + 0 + 1. Suppose r = 12*u - 10*u - 220. What is the least common multiple of u and 8?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2196801 and 332213.\nAnswer: -1864588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4718450 divided by -10.\nAnswer: -471845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*x + 360 = -51*x. Solve 18*n - 14*n + x = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 450 = -3*o + 3*z, -3*z - 1104 = -5*o. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.085 and -190?\nAnswer: -16.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2348872750?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 AM and 5:18 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-152)\/42*6\/(-4). Let n be ((-15)\/10)\/((-3)\/(-5))*-2. Is n greater than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1.05, 7 in descending order.\nAnswer: 7, 4, 1.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = i - 21. Let o = 4064 + -3840. Calculate the highest common divisor of o and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2144.17399 and 12260.\nAnswer: 14404.17399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 - 6*s - 4. Let c be i(-4). Let b = 0 + c. Suppose 20 = b*l - 32. Solve -4*n = -4*z - 8, n + l = -3*z - z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 + 25*d**2 + 39*d - 17. Let t be r(-23). What is the greatest common divisor of 4176 and t?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1080*l*y**3 - 412*l*y - 2*l + 211*y**3 - 2404 with respect to l.\nAnswer: 1080*y**3 - 412*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -270, -529, -774, -1011, -1246, -1485?\nAnswer: -1734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1, -0.13, -8, -28?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1984\/357 + 298\/51. Let s = -0.32 - -0.33. Which is the closest to g? (a) 2 (b) s (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-2) - 58\/(-100). Let w = -3 - -3.2. Let h be (-9)\/11*-4*4\/72. Which is the second biggest value? (a) w (b) h (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 3*n + 2*k = -16, 0 = 3*k + 12. Sort 5, 4, n, 1 in increasing order.\nAnswer: n, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102899 is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 r when three letters picked without replacement from {e: 1, s: 1, c: 2, r: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 + 59. Suppose -3*z - 4*m + 61 = 0, -5*z - 2*m = -4*z - 17. Calculate the remainder when p is divided by z.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81030239 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 12:25 AM?\nAnswer: 9:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 - 20*z - 134. Let p be 8\/2*(-60)\/48*-5. Give n(p).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*s - s + 4*s - 5*s + 3*s + s + (4 + 2 - 1)*(0*s - 3*s + 5*s) + 8*s - 11*s + 2*s in the form h + i*s and give i.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*q + 7*q. Suppose n - 5*n + 24 = q. Calculate the least common multiple of 11 and n.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 15\/4, 2, 0 in ascending order.\nAnswer: 0, 2, 15\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11050 + 21459. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5.3 in 1, 1.6, -2\/3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbjqbbsjq. Give prob of picking 1 s and 1 b.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60665264 (base 7) to base 3.\nAnswer: 100111222202212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 + 3*r + 3. Let q be 0 - (-6 + 4 - -1 - 1). Let v(j) = j**3 - 6*j**2 + 7*j. Let u be v(q). Give a(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*16*(10\/8)\/((-960)\/384)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 11100010111110000 (base 2) to base 12\nAnswer: 57300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2 plus 101018708943?\nAnswer: 101018708944.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of h*k**3 - 2*h*k - 2*h + 3693072*k**4 - 2094*k - 63 wrt k?\nAnswer: 6*h*k + 44316864*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.085 + -62.915. Let x = -18803 - -18740.185. Let s = x - u. What is s rounded to 2 decimal places?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 3*v - 21, 4*i + 0*i + 13 = -v. Suppose -10 = -l - 5*a, -v = 2*a - 5. Suppose l*c = -u + 94, -4*u + u - 3 = 0. List the prime factors of c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3111954706 to the power of 1\/3, to the nearest integer?\nAnswer: 1460","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13464 - -2962073\/220. Let b = c - 3\/20. Let t = -3.3 + -0.7. Sort b, t, 2\/9.\nAnswer: t, b, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-1)*x)**(1\/77)\/(x**(-2\/9)*(x*(((x*x**(-3\/13))\/x*x)\/x*x)\/x)\/x*x))**(-2\/45) assuming x is positive.\nAnswer: x**(9622\/405405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.118 and 0.06.\nAnswer: 0.00708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 599813?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xp when two letters picked without replacement from {g: 1, k: 1, x: 1, p: 1, c: 1, n: 2}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 3*x - 5400, -2*x - 22135 = -3*k - 5869. Does 43 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7373?\nAnswer: 73, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12)\/(180\/21) + 128870014\/10. Round j to the nearest one million.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, l: 7, h: 1, k: 1}. Give prob of sequence lkll.\nAnswer: 7\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 548471?\nAnswer: 7, 11, 17, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 43074 divided by 1304\nAnswer: 21537\/652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3568 and 32714546?\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(2\/(3\/(12\/8))).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 3*l**2. Suppose 4*n - 10 = y, y - 2*n + 6*n = 14. Let c(o) = 4*o**2 + o**2 + y*o**2 - 4*o**2. Calculate c(g(x)).\nAnswer: 27*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.7 - 5.7. Let g = -3.1 - -2.9. What is the closest to 2\/5 in j, -2\/9, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i + 1. Let f = 18 + -13. Let o be m(f). Let n be 1\/4 + (-18)\/8 + 1. Sort o, n, -3.\nAnswer: o, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 3 + 129. Let j(z) = -3*z**3 - 475*z**2 - 122*z + 5690. Let i be j(-158). Solve -23 = -i*x - s for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 134\/11? (a) -2.8 (b) -0.13 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -155*a**6 + 12307*a**3 - 46809230*a**2 wrt a?\nAnswer: -18600*a**3 + 73842","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1172 (base 9) in base 15?\nAnswer: 3d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/16 and 29\/42?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/3 + 33516*u + 842491692.\nAnswer: (u + 50274)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1379.9995 + -1383. Let g = -3 - w. Round g to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 0.02, -0.015?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 265 + -23?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 166674374 to the power of 1\/2, to the nearest integer?\nAnswer: 12910","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -179681\/90 - -17950\/9. What is the common denominator of f and -51\/110?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -114214 (base 7) to base 10.\nAnswer: -20689","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 462, 463, 458, 441, 406?\n\"Answer: -g**3 + 3*g**2 - g + 461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8578316314 to the power of 1\/2, to the nearest integer?\nAnswer: 92619","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 91*t - 744. Determine k(8).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**21*x)\/(x**14*x) assuming x is positive.\nAnswer: x**(-34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/5928 and -19\/132?\nAnswer: 65208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 24, 3\/706, 2\/13, -494, 1\/7, 0?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 - 8*g - 10. Let p be z(-7). Is p at least -3\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 346 divide 30907091?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 319680373 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aiilap. What is prob of picking 1 p and 1 l?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f + 7*f**2 + 4*f - 2*f**2 - 4*f + 13*f**2.\nAnswer: 18*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 200 is divided by 43.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 + 9*c + 10. Let z be k(-8). Let m be 3\/((-12)\/z)*4. Is (-1)\/(m\/5)*62 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/21? (a) 14\/533 (b) 0.01 (c) -1 (d) 10 (e) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(528) + -2*(sqrt(528) + sqrt(528) + (sqrt(528) - (-3*sqrt(528) + sqrt(528)))))\/(((sqrt(24)*3)\/sqrt(8) - sqrt(3))*-5).\nAnswer: 2 + 18*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, -80, -6 in descending order.\nAnswer: 5, -4, -6, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-7) + 7462004\/14. What is p rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 + 4*x - 1. Determine w(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19, -62, -105, -148, -191?\nAnswer: -234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2656613752 - -0.2?\nAnswer: 2656613752.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 12*p + 12*p - 70 + 0*p - 115. What is the tens digit of l(10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 h when two letters picked without replacement from {n: 4, l: 3, u: 2, h: 2, a: 2}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 344335733 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.983 - 3.984651. Round p to 5 dps.\nAnswer: -0.00165","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 26886639*v**3 - 69180792 wrt v?\nAnswer: 80659917*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, 5, 0, -174, 1 in descending order.\nAnswer: 16, 5, 1, 0, -174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 53 + 261. Calculate the remainder when n is divided by 100.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l**2 - 14*l + 31. Let v be h(8). Let x = v + -7. What is the highest common divisor of 140 and x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 21 + 0)*(-v + 2 - 2) + (-2 + 4 - 1)*(-7001 + 104*v + 7001).\nAnswer: 128*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 - 21*d + 15. Calculate x(9).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/19)\/(i\/((i\/(i\/(i*i\/i**(6\/19)*i*i)))\/i)))\/(i**18)**(11\/5) assuming i is positive.\nAnswer: i**(-3597\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-15)\/(-4) + (-2)\/(-8) + -5. Calculate the common denominator of 3 + ((-5)\/(-12))\/(j\/27) and -47\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-27) - (-448)\/288?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 + m. Let c be v(0). Find j, given that 1\/2*j + c - 9\/4*j**2 + 7\/4*j**3 = 0.\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 + 43*s**2 + 86*s + 129. Let r be h(45). Is r smaller than -63?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q and 1 w when four letters picked without replacement from {f: 4, q: 11, w: 3}.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from nzzzn.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-26)\/((-624)\/1239) - ((-5)\/(-8) + -1 + 0)\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0*32047\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6021 (base 16) to base 12.\nAnswer: -122a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 - 10*z**2 + 8*z + 22. Give i(9).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 9\/2*n**4 - 3\/4*n**5 - 39\/4*n**3 - 3*n + 9*n**2.\nAnswer: -3*n*(n - 2)**2*(n - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46 is divided by (160\/25)\/(4\/10).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*j**6*x**2 + 154*j**4*x**3 + 232*j**2*x**3 + x**3 wrt j.\nAnswer: 1680*j**3*x**2 + 3696*j*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 529 by -23.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -bd8cc8 - -5?\nAnswer: -bd8cc3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a**2\/4 - 21165*a\/4 + 530375\/2 = 0. What is a?\nAnswer: -21215, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of 2*c**3\/3 - 27*c**2\/2 + 9*c - 32. Let h be y(13). Let s(j) = j**2 - 4. Determine s(h).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**4*d*d\/d**(-2))**2*((d*d\/(d**(5\/6)*d))\/d)\/d**4*((d*d*(d*d**(-5))\/d)\/d)\/d**(5\/2) assuming d is positive.\nAnswer: d**(14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 13*g + 122. Let x be p(-9). Solve w - x = -2*d, w - 2*d = -12 + 1 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -2*u - 24. Let n = 272 - 63. What is the remainder when n is divided by -4 + 2 - u - -33?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/238690 and -77\/18?\nAnswer: 2148210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*z + 8*z + 42 - 26*z + 8*z as w + k*z and give w.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-505)\/(-2) - (-7)\/(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y**3 - 5112*y**2 + 5143*y + 153390 = 0. Calculate y.\nAnswer: -5113, -5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.55026 rounded to 1 decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -85 + 58. Let j = -18 - o. Solve -4*w = 3*a - 11, 2*a + j = -a for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2241051?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of 3*w**5\/20 - w**4\/4 - w**3\/2 + 3*w**2\/2 - 3*w. Find i, given that v(i) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -885245 = -885245?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2630 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: Let f = -117.87808 - -117.9. What is f rounded to three dps?\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -151*l + 143*l. Determine y, given that 6\/5*y + 3\/5*y**l + 0 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15317698069 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 4 (b) 0.2 (c) 6813 (d) -0.1 (e) 0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - 22\/3. Let h = -49.1 - -49.17. Sort q, h, -0.3, 2 in descending order.\nAnswer: 2, h, -0.3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -5.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + d + 1)*(3*d - 2*d + 0*d)*(-59*d + 113*d - 55*d)*(2*d - 2 + 2) to j*d**3 + l*d**4 + y*d + c*d**2 + m and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 30\/(-8)*(-40)\/30. Solve 0 = -k*j + 7 + 3 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -163\/22 or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-50)\/(-2) + (-27)\/(-9) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 + 141\/(-27))\/(4\/3)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4\/2975 + 5129\/294525. Find the common denominator of f and 17\/126.\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/10, -0.5, -7\/15, -112 in descending order.\nAnswer: -1\/10, -7\/15, -0.5, -112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -c - l + 36, -4*c + l = -27. What is the remainder when c is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 13) in base 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -37884.93 rounded to the nearest ten?\nAnswer: -37880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 20, -5, 1\/8, 1\/7, 3\/29, 3\/10?\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2\/5 + 0. Let n = -9 + 3. What is the nearest to n in z, -0.3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 8.176849m?\nAnswer: 8176849000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-3) - 66\/(-18). Suppose 6*j - 4*j - 10 = g, -r*g + 3 = 5*j. Is -1 < g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -520 + 508 + (11 - -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1155.869 and 16?\nAnswer: -18493.904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, q: 6, r: 1, g: 4}. What is prob of picking 1 g and 1 q?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**6\/h)\/h**(-9\/4))\/(h**32*h*h*h*h\/(h**(-23)*h)))**45 assuming h is positive.\nAnswer: h**(-9135\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -29063? (a) -4 (b) 5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.057 - -0.357. Sort b, 2, -0.5 in decreasing order.\nAnswer: 2, b, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + 14. Suppose s*y - 2*y = 0. Suppose m + 19 = 3*o, 4*o - 3*o - 3*m - 1 = y. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-2) - (-4 + 1). Suppose y*n - 4*r = 0, -15 - 20 = -4*n - 3*r. Let w = -9 - -13. Solve -n*s + 27 = -w*m, 5*s = -2*m + 4*m + 21 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.001 and 0.05?\nAnswer: 0.051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**4\/9 - 218*u**3\/9 - 148*u**2\/3.\nAnswer: 2*u**2*(u - 111)*(u + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -13831356 + -117.27066\nAnswer: -13831473.27066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 454\/5, 1\/7, 3?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2*k + 3. Let h(z) = -18*z + 1. Let l(w) = h(w) - j(w). Let i(n) = 140*n + 15. What is 2*i(s) + 15*l(s)?\nAnswer: -20*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 5181.8 to the nearest ten.\nAnswer: 5180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-290)\/(-261))\/((-25)\/(-210))*12\/8?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + 17 + 15830\/(-880). Which is the third biggest value? (a) u (b) -3 (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 - -10 - (-19 + -3457) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-12)\/4)\/(-39))\/((-5)\/(-10)*-2).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of w**7\/105 - w**4\/24 - 8*w**2. What is the second derivative of t(n) wrt n?\nAnswer: 24*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -97 (base 15) in base 13?\nAnswer: -ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, o: 1, z: 1, w: 2, d: 1, n: 2}. What is prob of picking 1 r, 1 d, and 1 n?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of 0*w**2 - 2\/3*w**3 + 0*w + 138 + 1\/9*w**6 - 5\/6*w**4 - 2\/15*w**5. Let o(i) = 0. Calculate i.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/1*-3 - 2. Let u = 21 + -11. What is the smallest common multiple of (1\/h)\/((-2)\/u) and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -51, 2.3, 2\/9, -4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 8 = -4*h + 7, -4*v - 8 = 5*h. What is the remainder when 0 + 1*(-176)\/h + 1 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-10) - 26\/(-65). Suppose -2*x + 10 = -2*w, 0*x - x = 5*w - 5. Let s = -56 - -46. Sort x, y, s in increasing order.\nAnswer: s, y, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 3*s - 39984 = 5*s, 0 = 3*q + 3*s - 59982. Suppose -2*y - o - 2634 - q = 0, 0 = 4*y + 3*o + 45255. Is y\/(-36) - (-2)\/(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2*k. Let m(x) = 7*x**2 - 5*x - 5. Let v(t) = 21*t**2 + 2 + t + 0*t + t - 24*t**2. Let s(o) = -4*m(o) - 10*v(o). Determine d(s(p)).\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 66186 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 + 3*v - 33. Is z(-14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10001111000110000 (base 2) to base 5.\nAnswer: -4321024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2*v**2 + 2*v - 6. Let i(m) = 8 - 3*m + m - 3 - 2*m**2. Let l = 12 - 8. What is l*i(u) + 3*p(u)?\nAnswer: -2*u**2 - 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*l**3 + 27\/2 - 3\/2*l**2 + 54*l.\nAnswer: -3*(l - 3)*(l + 3)*(4*l + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 334*r = 9*r - 219 - 431 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3290728 and 112.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 4*j**2 + 8*j - 6. Let k(t) = -12*t**2 - 20*t + 16. Let i(q) = -q**2 - q + 1. Let v(n) = 3*i(n) - k(n). Let f = -256 - -269. Give f*w(r) - 6*v(r).\nAnswer: -2*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b**2 + 0 - 6*b + 1 - 3*b**2 - 4. Let x be z(-5). What is the third derivative of 0*h**2 - 2*h**2 + 4*h**3 + 3*h**x wrt h?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d - d + d)*(5 - 3 - 1) + (-3 - 49 + 21)*(-d + 6*d - 3*d).\nAnswer: -60*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together -10443945290 and 0.67.\nAnswer: -10443945289.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 113 - -12?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + -2012101222221?\nAnswer: -2012101222221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + -3*sqrt(68))*-5)**2.\nAnswer: -1200*sqrt(17) + 15700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 2 (c) -46 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-2*(sqrt(96)\/sqrt(4))\/sqrt(12))**2 + (-1*sqrt(18) - (sqrt(2) + (sqrt(16)*-2)\/sqrt(8)))**2).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*a**5*d - 4*a**3*d*f - 7*a**2*d*f + a*d - 196*d*f wrt a?\nAnswer: -40*a**3*d - 24*a*d*f - 14*d*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -4*u**2 - 3118224*u + 6236464 = 0.\nAnswer: -779558, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-236)\/(-36) + -7)\/((-4)\/18)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 8:02 AM?\nAnswer: 10:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(539)*2 + sqrt(539) - (sqrt(11) + sqrt(44)\/sqrt(4)*-2 + 3*sqrt(176)))**2.\nAnswer: 1100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, k: 1, b: 8, c: 2}. What is prob of sequence kbbb?\nAnswer: 14\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5492.2995 - 5495. Round s to two decimal places.\nAnswer: -2.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*a + 6586*a**2 - 6578*a**2 - 6*a.\nAnswer: 8*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 - -22. Does 16 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*b + 27*b + 33*b to a + j*b and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 5)\/(((-15)\/(-10) - 1)*36)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, w: 2, y: 7}. Give prob of picking 2 w.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -1 + 1 + (-1 - 1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53130*x + 26403*x - 64459*x + 16118*x - 52917*x.\nAnswer: -127985*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = -6*n + 2*n - 10, 2*d - 8 = 4*n for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 644 = 24*t + 596 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1802043*t**2 - 901187*t**2 - 900837*t**2.\nAnswer: 19*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 3*n + 9)*((-n + 3 - 3)*(2 + 1 - 1) + 2*n - 2*n - 2*n + 8*n + 4*n + 8*n + 2*n + 3 - 3).\nAnswer: 54*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 2 h when four letters picked without replacement from hhhhhqqhhh?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -418*g**3*k**2*s**2 - 37*g**3*k**2*s - 2*g**2*k**2*s**2 + g*k**2*s**2 + 2*k**2 - 5551*k wrt g?\nAnswer: -2508*k**2*s**2 - 222*k**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.158 + 0.098. What is the fourth smallest value in -4, 12, q, -0.2?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 193026?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1425920829?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tspp when four letters picked without replacement from ptrssrspsrprsq.\nAnswer: 5\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*w**4 + w**4 - 4*w**4 + (-w + 4*w - 4*w)*(w**2 - w**2 - 2*w**3) - 3*w**4 + w**4 + 0*w**4.\nAnswer: 7*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -858*x**2 + 14164*x. Let k(i) = -432*i**2 + 7082*i. Let v(f) = 4*b(f) - 7*k(f). What is the second derivative of v(w) wrt w?\nAnswer: -816","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 11*b - 12*b = 36, 2*b = p - 9. Solve 4*u - r = p, u + 3*r = 5*u - 15 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 627317.1 litres?\nAnswer: 627317100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.066 - 0.06608053. Round n to five decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101000 + 10000101010111?\nAnswer: 10000100101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a microsecond in nanoseconds?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than -1\/22952210?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-1*(-1)\/2)\/(209\/5434)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (3\/6)\/(16\/26656).\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 - 24. Let z = b + 9. Let x(l) = l**3 + 6*l - 7. Let n(r) = 5*r + r**3 - 3 - 3 + 0*r. What is z*n(t) + 5*x(t)?\nAnswer: -t**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 17 in 0, -2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 736876 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 + 4*i**2 - 6*i + 6. Let b be x(-5). Solve -15*k - 12 = -b*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 15425, 30209, 44993, 59777, 74561, 89345?\n\"Answer: 14784*l + 641","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*x = 4*k + 31*x - 6, 7 = k + 5*x for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, 0, -53, 3 in ascending order.\nAnswer: -53, 0, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -6254*d - 2251427. What is r(-360)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (n - 2*n - 3*n)*(0*n**2 + 3*n**2 - n**2) - 305 - 27*n**3 + 305 to the form o*n**2 + t*n**3 + i + w*n and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 45966, 45984, 46012, 46056, 46122?\n\"Answer: r**3 - r**2 + 14*r + 45952","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (74\/(-1221))\/((-24)\/22 - 0). Which is the nearest to 0? (a) -2\/9 (b) n (c) 2\/29 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -266, -3, -7.\nAnswer: -266, -7, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2149*m = -1194*m - 50615 for m.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are 7089144 and 7089147 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 356322272 or 356322271?\nAnswer: 356322271","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f**3\/7 + 580*f**2\/7 + 21312*f\/7 + 20736\/7 = 0 for f.\nAnswer: -72, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -653 equal to 1.0848?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x**3 - 5*x - 1. Let l be r(2). Let d(p) be the first derivative of 0*p**3 + 3\/5*p**l - 3\/4*p**4 + 0*p + 5 + 0*p**2. Solve d(c) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from qqq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1220001 (base 3) in base 7?\nAnswer: -4006","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78983.\nAnswer: 19, 4157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -17, -19, -21, -23, -25?\n\"Answer: -2*g - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70.6216644ns to weeks.\nAnswer: 0.000000000000116768625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18500547 >= 18500527?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cd when two letters picked without replacement from dcrc?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -140*g - 54. Let w(i) = 117*i + 53. Let c(b) = -5*p(b) - 6*w(b). Give c(-14).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 5*v - 32, -2*k - 3*v - 20 = -4*v. Let p be ((-1)\/2)\/(k\/(-8)). Put 1, -1\/5, -5, p in ascending order.\nAnswer: -5, p, -1\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 133*n**2 + n - 7. Is s(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 4*d = -16924 + 131111, -d = r - 38074. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2630, -1, -3, -25 in descending order.\nAnswer: 2630, -1, -3, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of 7*u**6\/60 - u**4\/24 - 16*u**2. What is the second derivative of k(y) wrt y?\nAnswer: 84*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 1018477435?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + h - 12 = 0. Suppose h*b + 10 = -5*t, -2 + 0 = -b + t. Which is smaller: 1\/5 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-4*(sqrt(75) + -2) - (4 + sqrt(75) - sqrt(75))*-3) + 1)**2.\nAnswer: -12960*sqrt(3) + 25761","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4219, -8182, -12087, -15904, -19603, -23154?\nAnswer: -26527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 10:28 PM?\nAnswer: 8:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -26538 less than or equal to -26534?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/7)\/i**5)\/(i\/(i\/i**1*i))**(1\/15)*((i\/(i\/i**(3\/2))*i)\/(i\/i**(2\/7)))**(-16\/11) assuming i is positive.\nAnswer: i**(-563\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80282 = -47*b + 80329 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 4*t - 1, 14 = j - 4*t + 11. Sort 5, j, -4, -5.\nAnswer: -5, -4, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.04697 times 5762\nAnswer: 270.64114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 + -9. Suppose 12 = -0*c - y*c. Sort c, -1\/11, 0.1.\nAnswer: c, -1\/11, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m + 3. Suppose 2*a - 68 = -8. Suppose k + 20 = 3*v, -4*k + 7*k + a = 4*v. Let l be c(v). Let t(j) = j + 2. Calculate t(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 916139560 to the nearest integer?\nAnswer: 971","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 210, 595, 1302, 2331, 3682?\n\"Answer: 161*r**2 - 98*r + 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 5*x + 3. Let y(j) = 13*j - 1 + 14*j - 29*j. Suppose -k + 2*k + 9 = 0. Give k*y(d) - 4*z(d).\nAnswer: -2*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -5*f**2 - 3*f + 6. Let j(y) = 7*y**2 + 4*y - 8. Let z(o) = 3*j(o) + 4*x(o). Let i = 59 + 4. Let c(v) = 63 - 17*v**2 - i. What is c(z(a))?\nAnswer: -17*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (70 + (-1)\/1)*1. Suppose -3 = -4*j + m. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 357*s - 625*s + 46260 = -1810*s for s.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/c**11))**(-8\/3)\/(c**27\/c**(-1\/20)) assuming c is positive.\nAnswer: c**(-3383\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**2 + 59170880*q - 177512676.\nAnswer: 4*(q - 3)*(q + 14792723)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -29.3 + 29. What is the nearest to -2\/3 in 0, -1, v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 39 + -25 + -1 + -1. Suppose -5*b + a = -c, -4*a = -3*b + b - 6. What is the second derivative of -m**3 + m**b + 147*m**4 + 12*m - 148*m**4 wrt m?\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1166 and 853295707?\nAnswer: 583","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*w - 16125 = 5*w. Let j = 753\/2 - w. Which is the second smallest value? (a) -6 (b) j (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21415 is divided by 223.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 35*v + 23565 = 22989 for v.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 14*d - 55. Give l(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*c + c. Suppose -2*m + 0*m = -5*j + 21, -5*j + c*m = -19. Let n be 99\/21 - (j + -1). Which is greater: n or 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnmnnhmonmmhnn. Give prob of sequence ohmm.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 5*d - 3 = 0, 7*u + 5*d - 18 = u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 0.4 (b) -0.2 (c) 3\/32 (d) 3\/2 (e) -387\/5 (f) -2\/11 (g) 15\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12005725\/330 - 1\/(2\/2). Let m = b + -36382. Find the common denominator of 9\/32 and m.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -109442, -109469, -109470, -109433, -109346, -109197?\nAnswer: -108974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -111852, -223703, -335554?\n\"Answer: -111851*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -4 (b) 3\/2 (c) -2 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -43 + 54. Solve -s = 3*i + 1 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from nxnxccxnxnxnnxcccxc?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2653 is divided by 823.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 361465499 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 - 15*n + 16. Let u be r(14). Factor 0*x**u - 1\/4*x + 1\/4*x**3 + 0.\nAnswer: x*(x - 1)*(x + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 2, -6, 620 in increasing order.\nAnswer: -6, -5, 2, 3, 620","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 8) to base 4\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 - 4 - (-8 + 2). Suppose -2*o + 7 = d. Solve -o*t - t = -3*q + 21, 8 = -4*t - q for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -116, -136, -156, -176, -196, -216?\nAnswer: -236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 368*s**2 - 63*s + 3 + 72*s + 10*s wrt s.\nAnswer: 736","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1114.946518 - 0.5.\nAnswer: -1115.446518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of -1\/60*d**5 + 0 + 4*d**2 - 11\/24*d**4 - 7\/6*d**3 + 0*d. What are the prime factors of k(-4)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/32070120 and 107\/780.\nAnswer: 416911560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -128*w**3 + 391*w**3 - 131*w**3 - 135*w**3.\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 77907, 77824, 77741, 77658, 77575, 77492?\n\"Answer: -83*b + 77990","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 + 6*o**2 + 2*o - 7. Let d be q(6). Solve -5*f = 10 + 10, 32 = -3*n - d*f for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*p - 76 = -63*p. Suppose p*x = 24*x - 845. Is x even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33229?\nAnswer: 7, 47, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 - 5. Let i = -13 + o. Let p be (-3)\/(3\/(-2)) + 1. Sort p, i, -2\/9 in increasing order.\nAnswer: i, -2\/9, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + -4. Let i be 1\/3 + 14\/b. Let o be 0 + 1 + 42\/3. Calculate the greatest common divisor of o and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11050 by -3.\nAnswer: 11050\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 + -6. Suppose d*g + 20 = 8*g. Suppose -5*v + 21 - g = 3*m, v - 4*m + 6 = 0. Solve x = -x + y - 8, -4*y - 8 = v*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*v - 0*v - 30 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 1275 = -5*c, 110 = -w - 5*c + 347. Is w a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + s - 20 = 5*h, -5*h - 4 = -s. Suppose 0*j = -s*j. Let d be (0 - j\/3) + -2. Let n(k) = -5*k - 3. Give n(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -22 - -1441937?\nAnswer: 1441915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 185*o**3 + 204*o**3 + 2 - 423*o**3 - 13.\nAnswer: -34*o**3 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + (-28)\/9 - -3. Suppose 2*j = -2*j. Suppose -2*b + 5*p - 3 = j, -2*b - 4*p - p + 47 = 0. What is the smallest value in x, b, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -57\/203 or 1?\nAnswer: -57\/203","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-240)\/28)\/20*(-7)\/(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 57322?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -182849*j**3*w + 1425377*j**3 wrt w.\nAnswer: -182849*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5079, 25, 3\/8, 4, 0.2, 0 in descending order.\nAnswer: 5079, 25, 4, 3\/8, 0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/12)\/(15\/6)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1025 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 - -5 - (-284)\/(-2). Let a = -79 - n. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v + 20. Let l(t) = 2*t - 15. Let q(o) = -3*f(o) - 4*l(o). Let r(d) = 759*d. Calculate r(q(u)).\nAnswer: -1518*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 34587*k - 4360*k + 6646*k as j*k + p and give j.\nAnswer: 36873","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 AM and 5:21 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-5)\/q*q\/(q*q*q**(-2)\/q*q)*q**(-1)\/q*q**(-15) assuming q is positive.\nAnswer: q**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 555 and 444?\nAnswer: 2220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -51 (base 6) in base 14?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -331 and -7.5.\nAnswer: 2482.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1965*h + 48 = 1973*h for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2*t**2 + 55*t - 560. Let j(r) = 4*r**2 - 107*r + 1118. Let w(u) = -5*d(u) - 2*j(u). Differentiate w(q) wrt q.\nAnswer: 4*q - 61","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, 1, -7, -19, -35?\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p = -479 + 251. Solve -120 = 2*z + p*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 36 - -15. Let s = l - 50.2. Which is smaller: -2\/13 or s?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 368 and 126638.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -142454, -143782, -147412, -154496, -166186, -183634, -207992, -240412?\nAnswer: -282046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 9 = 5*u. Sort -1, u, -5.\nAnswer: -5, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 11:53 PM?\nAnswer: 9:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*(1 - 3 - 1). Let h(o) = 6*o + 1. Let n(j) = -5*j. Let r(x) = -4*h(x) - 5*n(x). Give r(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -11*s**2 + 21*s. Let w(g) = -4*g**2 + 7*g. Let k(b) = -3*a(b) + 8*w(b). Calculate k(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.039467158 rounded to 2 decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Put together 510171557232 and 0.0869.\nAnswer: 510171557232.0869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -61, -506, -1345, -2578?\nAnswer: -4205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 24760779 to the power of 1\/2, to the nearest integer?\nAnswer: 4976","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 5*s - 9, y - 5*s - 12 = -3*y. Let n(c) = -c**2 - 5*c - 2. Let m be n(-5). Let v be ((-3 - 9)\/m)\/2. Solve -y*f + v = -6*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 330651 = 3*q, 4*q - 7*q - a + 330651 = 0. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 - (2 - -1 - -1) - (96 + -86)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9 - 3 + 3)*(5*w**2 + 5*w**4 - 5*w**2) - 3 + 2*w**4 + 3 to the form u*w**2 + c*w + f + p*w**3 + l*w**4 and give l.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(2*(sqrt(539) + sqrt(539)*-5*3))**2 + (2*-3*sqrt(539)*-6)**2 + -5.\nAnswer: 2811419","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 433 - 438.3. Let w = 61 - 46.2. Let n = w + x. What is n rounded to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 311479?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 87 * -10\nAnswer: -870","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/8*15*(4 + (42 - 38)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448) + (sqrt(448) - (sqrt(448) + 0 + sqrt(448)) - sqrt(448)) + -3)**2.\nAnswer: 48*sqrt(7) + 457","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -20194 - 27?\nAnswer: -20221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 306511 divided by -1.\nAnswer: -306511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39032, 38866, 38590, 38204, 37708, 37102?\nAnswer: 36386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -152 + 65. Let y = j - -144. Suppose y*v - 59*v = 2. Let p(t) = -7*t - 1. Calculate p(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (8 + 5)*(-3 + 2). Is 2\/7 at least as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8)\/4*3\/(-3). Suppose 5*g = -f + 66, -5*g + a*f - 6*f + 54 = 0. List the prime factors of g.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + n - 73 = 0, q + 2*n - 9 = 11. Suppose -3*g = -o - 491, -5*g = o - 2*o - 815. What is the highest common divisor of g and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -357.8 + 22.4\nAnswer: -335.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2*p**3 + 31*p**2 - 16*p + 8. Determine n(-16).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2673 + 3548. Calculate the highest common factor of v and 140.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3038)\/252 + 12 - (-31)\/(-2790)*-1415.\nAnswer: 47\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*q - 2*q - 3 + 8*q - q + 31.\nAnswer: 2*q + 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of -n**4\/4 - n**3\/2 + 8*n. Let d(f) = -f. Give 3*d(g) - y(g).\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/(-9))\/(2\/90). Suppose -2*f - 15 = 3*f, n = -2*a + 3*f. Let x = 3 - a. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 11*w - 21. Let l be (4\/((-12)\/3))\/(3\/(-9)). Let x(b) = 12*b - 20. Let g(o) = l*z(o) - 4*x(o). Find the first derivative of g(j) wrt j.\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 2*u - 25, -4*u = -m - 2 + 27. Let c(s) = 2*s**2 - 26*s - 24. Let w be c(14). Solve -w*g - g = -m for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -56 - (-77 + 172) - -76\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5453028940 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 684 and 12?\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1076 at most 8\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 764 + -693.4. Let g = 79.13 - i. Let z = 9 - g. What is z rounded to 1 decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.13, 1, -1, 5\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7917574 to the nearest integer?\nAnswer: 2814","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 (base 6) in base 9?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 100111111000101 (base 2) to base 7\nAnswer: 113352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i**2 + 11*i - 14. Let r be o(4). Let c be (-1)\/6*r - 63825\/21672. Let q = c + -4\/301. Find the common denominator of q and 139\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-4)\/(-10) - 664\/(-40)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 0 - (-2)\/(-2)) + 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 670*i + 1613. Let k be l(-2). Solve -29*r = 10*r + k for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100101 - -1000011101010111?\nAnswer: 1000011100110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 72299928?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -4137*j + 1939. Is z(-20) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/1)\/((-4)\/(-74)). Let w(p) = 2*p. Let o be w(1). Suppose 5*g - t = -o. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11 and 314.\nAnswer: 3454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*m - 4*m. Is (1174\/m)\/((-3)\/(-6)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/184? (a) 5 (b) 2 (c) -0.5 (d) 0.036\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -3 - k**3 - 2*k - 2*k**2 + 2*k**3 - 2*k**3. Let j = 3 - 5. What is the units digit of n(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of -29*f**5\/10 + 73*f**4\/24 + 409*f**2. What is the second derivative of y(l) wrt l?\nAnswer: -348","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) -96 (b) -71\/4 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 322 divide 6967501?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.19 in -1, -14\/15, 3, -2?\nAnswer: -14\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o - 2*o + 2*o)*(7 + 7 - 5)*(5 + 0 - 3).\nAnswer: 72*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/6*(2\/(-2) + 54). Let r = -47 - n. Let v = 8 + -5. Solve 0*j + 3*b - 6 = v*j, -2*j + r = 3*b for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 1 - y**2 - y + 9*y**3 - 5*y**3 + 0*y**2. Determine f(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + l)*(611 + 406 + 512) + 1 - 1 - l to the form z*l + n and give z.\nAnswer: 1528","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/67))**(-18\/11)\/(t\/(t**(-11)*t*t))**(5\/7) assuming t is positive.\nAnswer: t**(-36598\/5159)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(260)\/sqrt(10))\/(4*sqrt(2)*3 - sqrt(2)) + 3)**2.\nAnswer: -30*sqrt(13)\/11 + 1414\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 3*n**2 - 4*n. Let h(o) = -o**3 + 6*o**2 - 7*o. Let b be (-710)\/(-284) - 5\/(-2). What is b*p(q) - 3*h(q)?\nAnswer: 3*q**3 - 3*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, -1.2, -2\/3, -3\/5, 3 in increasing order.\nAnswer: -1.2, -2\/3, -3\/5, 3\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.7 - -106976295\nAnswer: 106976294.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*v - 71*v = -80 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.6 - 0.1. Suppose -582*c + 96 = -598*c. What is the second biggest value in 1\/5, n, c?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -176*z = 9307 + 4567 + 5486 for z.\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8.3 * -6.\nAnswer: 49.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -50 (base 9) to base 15\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p = 11*p - 36. Suppose -4*t + 3*v - 6*v = 21, -5*t = v + p. Let r = 1 - t. Solve -r = -4*g - 4*m, 0 = -g - m - m - 1 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96ae9b (base 15) to base 16.\nAnswer: 6d7c03","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -60*c - 54. Let i(p) = p + 38. Calculate i(z) + k(z).\nAnswer: -59*z - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 949256 to the power of 1\/2, to the nearest integer?\nAnswer: 974","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 346 + -2419\/7. Which is the closest to -2? (a) 5 (b) q (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-25)*k*k)\/(k\/(k*k\/(k*k\/(k\/k**(-14))*k)*k)) assuming k is positive.\nAnswer: k**42","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 112 and 62384.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 716 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - -11130322?\nAnswer: 11130331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/60 in 4, -1\/11, 8453, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.2 take away 421.4?\nAnswer: -419.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 94*j**2*p - 60*j**2 - 12*j*p - 39*j + 3*p + 1 with respect to p.\nAnswer: 94*j**2 - 12*j + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 30.4 + -27.4. Which is the fourth biggest value? (a) -4 (b) -3 (c) 4 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 6*k**2 - 34*k + 1. Suppose -3*c = r, 184*r - 186*r - 5*c + 4 = 0. What is the remainder when b(6) is divided by r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + -5. Let s = 0.1 + -0.3. Let y = s + -0.3. Which is the biggest value? (a) k (b) y (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-6) + (-56)\/90. Is n less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/7*(-18)\/12. Let t = 0.04 - -4.96. Let q = -0.1 - -4.1. Which is the nearest to 2\/5? (a) q (b) t (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of t**5\/60 + 5*t**4\/12 + t**3\/3 + 5*t**2. Let j be g(-10). Suppose 2 = -5*a + 7, 0 = -z + 2*a + j. Solve -c = z*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8120 - -14924. Calculate the highest common divisor of 432 and d.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2243*u + 4*u**3 - 5*u**3 + 12 + 5*u**2 + 2238*u. Let k be p(4). Factor 2*x**4 + 4*x**2 + 0*x**4 + 0*x**4 + 8*x**3 - k*x - 6*x**4.\nAnswer: -4*x*(x - 2)*(x - 1)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/(-45)*87\/(-29)\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12557 + -12548. Let i = -31 - -20. Let x(u) = -u - 8. Calculate the lowest common multiple of x(i) and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(156)\/(6*sqrt(48)\/sqrt(4))*6.\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -107\/56 + 61\/8. What is the common denominator of -57\/5 and z?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r - 9. Let c be x(12). Suppose -7*a = -c*a + 1144. Let m = -193 - a. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = 29 - 41 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 2*g - 21. Let z(q) = 2*q**2 - 10*q - 3. What is the tens digit of z(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1193724158?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4974 - -9100?\nAnswer: 11a74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3979bc (base 14) to base 16\nAnswer: -1e37c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -107344*f**2 + 214691*f**2 - 70*f + 1 - 107349*f**2 in the form m + o*f + i*f**2 and give o.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 9 = -2*x. Let o = 0 + x. Let b(k) = -k**3 + k. Let r(n) = -2*n**3 + 5*n. Let c(m) = o*b(m) - r(m). What is the second derivative of c(y) wrt y?\nAnswer: -6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 269 - 275.325. Let a = 0.075 - g. Round a to zero decimal places.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 2464815814?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -0.5, -434, 7\/4, -3, 0 in increasing order.\nAnswer: -434, -3, -0.5, 0, 0.5, 7\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 + 5. Let h(w) = -4*w**3 - 2*w**2 - 27. What is -2*h(s) - 9*p(s)?\nAnswer: -s**3 + 4*s**2 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 - 4*l**2 - 3*l - 1. Let g = -5 + 2. Give f(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5102937?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 244 = 10321\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 5:53 PM?\nAnswer: 6:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 13\/(-3)*(10 + 2). Let s = h - -121. Let b = -55 + s. What is the remainder when 41 is divided by b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m. Let z(j) = 32*j**5 + 22*j. Suppose -u - 4*u = -3*x + 35, 4*x - 16 = -u. Let o(b) = u*l(b) + z(b). Find the second derivative of o(v) wrt v.\nAnswer: 640*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + y + 543 = -479, -4*y = 2*s - 2050. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000007679 to seven dps.\nAnswer: 0.0000077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -1106*g**2 + 48*g - 2*g**3 + 541*g**2 + 0*g + 548*g**2 - 23*g - 21. Determine x(-10).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12512?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85)*-1*-3 + sqrt(85))\/(sqrt(5) + ((sqrt(405) - -2*sqrt(405)) + sqrt(405) - sqrt(5))) + -3*(1*sqrt(204))\/sqrt(12)*4.\nAnswer: -107*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 6. Let a(n) be the first derivative of n**4\/4 + n**3 - 3*n**2\/2 + 8*n - 383. Let t be a(u). What is the third biggest value in -5\/2, -1\/6, t, 2\/9?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 738649 is divided by 1447.\nAnswer: 679","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) 0.2 (c) 4 (d) -163\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 PM and 11:50 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -16*v**2 - 71. Let j = -11763 + 11752. Let u(r) = 3*r**2 + 14. Calculate j*u(m) - 2*z(m).\nAnswer: -m**2 - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 3*k**2. Let y(q) = 9512*q - 986. Let b(l) = 58*l - 6. Let n(o) = 986*b(o) - 6*y(o). Give n(h(i)).\nAnswer: 348*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -35 - -41. Let i(c) be the first derivative of -20*c**3 + c**4 - 17 - 2*c**r + 23*c**3 - c**4. What is the third derivative of i(t) wrt t?\nAnswer: -720*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 551\/3 + -183. Let t = 13\/7 + -16\/7. Sort -2\/3, o, t in increasing order.\nAnswer: -2\/3, t, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25*(0 + (-330)\/(-154))\/((-175)\/(-98))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -625\/2 + 1251\/4. Which is the closest to -51? (a) v (b) -3 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 157 is divided by 21.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*z - 39*z - 112 = -52*z for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1316 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19 - 19. Suppose w = -3*y - y + 24. Let l(r) = -7*r**3 + 2*r**2 - 5*r + 4. Let b(h) = -2*h**2 + 8*h - 2 + 8*h**3 - 2*h - 3. What is y*l(n) + 5*b(n)?\nAnswer: -2*n**3 + 2*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6502 is divided by 428.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3624\/14 - ((-66)\/(-77) - 1) is divided by 2 + 2*(29 + -4).\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + 110131020?\nAnswer: 110131013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 - 570*c + 44361. Determine k(93).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 40. Let g = 1508 + -606. Let l be g\/16 + 0 + 9\/(-24). Calculate the greatest common divisor of z and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 107708932?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dgnndngndnwnngwddnd. What is prob of picking 2 g, 1 n, and 1 d?\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (-4 + (-17 - 1) + 10).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of 0*i**3 - 34 + i + 0*i**2 + 7\/12*i**4. Let k(t) = -13*t. Calculate a(k(w)).\nAnswer: 1183*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -534.3 - -534. What is the nearest to 2 in 0.3, -0.2, -2\/9, b?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -49*y**2 + 4*y - 16. Let g(c) = 84*c**2 - 7*c + 28. Let q(h) = -4*g(h) - 7*r(h). Let d(x) = 205*x**2. Determine d(q(i)).\nAnswer: 10045*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(3*28)*3\/1?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -3, 3, 23, -5, 43, 5 in ascending order.\nAnswer: -9, -5, -3, 3, 5, 23, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 19663?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (10 - (4 - 5)) + 30 + -46 - (2 + -58)\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-11 - -3) + 0\/(-2). List the prime factors of (4\/p)\/((-6)\/2376).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ma when two letters picked without replacement from aphhhhhmmha?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -95*c*z**2 - 33475*c + 27718839*z**2 wrt c?\nAnswer: -95*z**2 - 33475","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5258 is divided by 362?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - x = -126, -3*x + 130 = 4*s + 8. Suppose 772 - 126 = 17*u. Calculate the remainder when u is divided by s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3550 by 1.\nAnswer: -3550","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x**4 - 904*x**3 - 3180*x**2 + 98928*x = 0.\nAnswer: -12, 0, 9, 229","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2461 + -842. Round x to the nearest 100.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -19 - (0 + 3) - -1. Let s be (18\/p)\/((-3)\/42). Let n = 25 - s. Is 7 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*t**2 + 6*t**2 + 3*t**2 - 11*t**2.\nAnswer: 5*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 598 and 0.0275.\nAnswer: 16.445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l + 10*l - 3*l - 6*l - 19*l**2.\nAnswer: -19*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*d**3 + 1003 + 14*d**3 + 7*d**3 + 7*d**3 + 12*d - 22*d**3 wrt d?\nAnswer: 24*d**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 11*a**2. Let c(k) = 8*k + 3. What is v(c(i))?\nAnswer: 704*i**2 + 528*i + 99","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 s, 1 v, and 1 h when four letters picked without replacement from {f: 1, t: 1, h: 2, s: 1, v: 2, x: 2}.\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 14520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-5 + (sqrt(68) + 2 + sqrt(68) + -3 + sqrt(68) - (sqrt(68) + 2)*-3))*4)**2 + 1)*-4.\nAnswer: -156676","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11914, 11920, 11926, 11932?\nAnswer: 11938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 212 a factor of 13695080?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 + 19*c - 52. Let g be p(15). Let h be (-2)\/g - 1425573\/108. Round h to the nearest one thousand.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y = -6*y + 3*d - 641, -2*y - 4*d = -248. Suppose 3*h - y + 127 = 0. Let r = 4 - -1. Calculate the smallest common multiple of h and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 - 5 - 14 + 6*q - q.\nAnswer: 5*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.068968 to two decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 + 1)\/((-9)\/54). Are r and -6 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1 (b) 243 (c) 0.289\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(12 + -21)*9.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14460 + -679678\/47. Is -1 at least q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 - 8*n**2 - 7*n - 13. Let g be 100\/12 - (-4)\/6. Let z be x(g). What is the units digit of (-13)\/(-5) + 2\/z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -583 - -586. Suppose -14 = 4*o - 5*g - 40, -5*g = r*o - 37. Solve -15 = -2*f - 5*h, f - 2*h - o = -5*h for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -107100, -2\/15, -1, -0.4?\nAnswer: -107100","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/4 (b) 3832 (c) -475\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 5, x: 1, y: 4}. What is prob of picking 1 y and 1 x?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-6)*-2*27\/(-63)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -587, -738, -889?\n\"Answer: -151*o - 436","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 minus -2722823?\nAnswer: 2722822.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of -b**3\/6 + 11*b**2\/2 + 3*b. What is the remainder when 5 is divided by s(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 299471?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*t**2 - 3*t**2 + 4*t**2 in the form p + z*t**2 + o*t and give z.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of f**2*i**3 - 381*f**2 - f*i**2 + 3*f*i - 24*i**3 wrt f.\nAnswer: 2*i**3 - 762","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4271041.\nAnswer: 4271041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*5*(-36)\/5. Suppose -3*f - 8 = -191. Suppose -l + v = -f. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -45 - -47. Solve 0*q - 10 = 3*o - x*q, 16 = -3*o + 5*q for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(19)*-3 + (sqrt(684) + 2)**2.\nAnswer: 21*sqrt(19) + 688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 2 z when four letters picked without replacement from evoxxzve.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*q + 20783478 + 5286696 = 0. Suppose 0 = 18*a - 426501 - q. Round a to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -234627700.1814 from -12.\nAnswer: 234627688.1814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from otyoyttotootoot. Give prob of picking 2 y and 1 o.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 5\/4 (c) 1\/172 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -9*z**4 + 6*z**3 + 6*z**2 - 22*z - 528. Let a(r) = -9*r**4 + 5*r**3 + 5*r**2 - 19*r - 529. Let h(y) = 6*a(y) - 5*t(y). Differentiate h(k) wrt k.\nAnswer: -36*k**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 10:40 PM?\nAnswer: 11:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 681*b = -684*b + 3, 2*h - 10 = 4*b for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 41 = -4*x, 2*x = 2*j - 3*x + 10. Let o = 1106 - 1106. Suppose 5*r - 500 = -j*b, -r + 2*b + 65 + 23 = o. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 0*k**2 + 92 - 93 - 11*k**2 wrt k?\nAnswer: -22*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c - 6. Let v(p) = 3*p - 9. Let s(g) = 7*h(g) - 5*v(g). Determine s(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 - 7*i - 3. Let s(n) = -n**2 + 8*n + 1. Let m be s(7). Let l be d(m). Let o = -115 - -120. Calculate the greatest common factor of o and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5626 + 102*w - 5626 in the form v + c*w and give c.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -2. Let n = p - -0.6. Let t = 212\/7 + -30. What is the nearest to t in 0.3, n, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1\/(-1 + 0 + 0) + 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from ffllff?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 39*q**2 + 17 - 14*q**2 - 17. Let y(f) = 27*f**2 + 10*f**2 - 36*f**2. Calculate m(y(r)).\nAnswer: 25*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -11 + 11*p + 3 + 17*p**2 + 8 + 3*p**2 as q*p**2 + t + h*p and give q.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 31494190?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 42999 by -423.\nAnswer: -14333\/141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of w**5\/5 - 5*w**4\/12 + 3*w. Find the third derivative of l(i) wrt i.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 3*f**3 - 1. Let a be y(-1). Sort 3, a, 4 in decreasing order.\nAnswer: 4, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-48)\/(-340)*120\/36)\/(8\/2).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8235 and 108.\nAnswer: 32940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jg when two letters picked without replacement from {k: 1, e: 1, g: 1, s: 2, y: 1, j: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-17)\/(-2))\/((-27)\/(-162)). Suppose 146*m - 5712 = 132*m. Calculate the highest common factor of m and i.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 3*y + 1417 - 20, -2*y + 2 = 0. Suppose 11*q + b = 3122. Is q a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 151283490?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -20*4\/16*2. Let w be j\/(-60) - (-58)\/12. Suppose l - 3*x - 5 = -4*l, -25 = -w*l - x. Is l a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, 41, 3194, 1, -3 in decreasing order.\nAnswer: 3194, 41, 4, 1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-16)*((-560)\/(-84))\/(2\/12)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2*l**2 - 39*l - 83. Let s be v(-17). Determine m so that 120*m - 498 - 622*m**2 + 624*m**s + 2298 = 0.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10213 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-4\/7)*f**(-11)*f)\/((f\/(f*f*f\/f**(2\/57))*f*f)\/(f\/f**(-26))) assuming f is positive.\nAnswer: f**(6541\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/54 or 4903\/3?\nAnswer: 4903\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 - 5*v - 8. Let i be (15 - 1) + -2 + 0. Suppose -2*r + i - 2 = 0, 2*k - 2*r - 2 = 0. Let l be o(k). Which is bigger: -1\/2 or l?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-2\/5)\/t**(-4) assuming t is positive.\nAnswer: t**(18\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1426 is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -17 + (1 - 20\/5). Suppose -78*t + 86*t + 152 = 0. Is t bigger than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**2 - 1423052*n + 9961560.\nAnswer: -4*(n - 7)*(n + 355770)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 290, 547, 822, 1121, 1450, 1815, 2222, 2677?\n\"Answer: x**3 + 3*x**2 + 241*x + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 43*y**5 - 47*y - 4.\nAnswer: 860*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j**3 + 4*j**3 - 5*j**3 - j + (-4*j**3 + 0*j**2 + 0*j**2)*(0 - 8 + 0) - 2*j**3 + 6*j**3 + 3*j**3 to h*j**3 + y + m*j**2 + w*j and give h.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 - b**2 + b + 2. Give j(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 4:30 PM?\nAnswer: 2:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.661199 - -0.60911. Round m to 3 dps.\nAnswer: -0.052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3327 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 3 = -4. Let q be n*3 - (-16 - -16). Solve 4*x = 0, 2*x - q = -2*u + 1 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22 (base 6) to base 13\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11112120101 (base 3) to base 8.\nAnswer: 256411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39, -92, -145, -198, -251, -304?\nAnswer: -357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -8*f**2 + 75*f + 140. Let m(w) = -3*w**2 - 2. Let q(d) = 3*m(d) - x(d). Factor q(c).\nAnswer: -(c + 2)*(c + 73)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5775 and 35?\nAnswer: 5775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1033 - 263*t - 1033)*(-t**2 - t + t) + 4*t**3 - 3*t**3 + 0*t**3.\nAnswer: 264*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 352 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 25 = -6*i - 2*i, -3*i - 12 = 2*p for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 3 - 5*m - 13 + 4. Let y(t) = 4*t + 5. Calculate -5*f(u) - 6*y(u).\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t**2 + 23*t + 19. What are the prime factors of y(-16)?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 299 and 228648359?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (-5 - (-26 + 8)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 221621238?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -7*b - 2. Let r be a(-4). Suppose 3*c = 5*h - 64, -2*h + c + r = -0*h. List the prime factors of (-2)\/(-6) + h\/3.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 51657632, -1, -5.\nAnswer: -5, -1, 51657632","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-1*sqrt(5))**2 + -4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, u: 1, b: 1}. What is prob of sequence xu?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4*(-6)\/24)\/(698\/5). Is x greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 451469636 - -5\nAnswer: 451469641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 PM and 12:16 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -78, -148, -196, -210, -178?\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -132 + 132 - 11*g**4 - 6*g**2 wrt g?\nAnswer: -264*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 87305255?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116*m = -25*m + 91*m - 910. Let d = 3 + 8. Find b, given that -3*b + 40*b**2 - 27*b**3 - d*b + 2*b**3 + m*b**4 - 6*b = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-3\/11)*r)\/r**(-2\/11) assuming r is positive.\nAnswer: r**(10\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -5*f**3 - 2615*f**2 + 32160470*f - 64310440 = 0.\nAnswer: -2812, 2, 2287","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2532*z**3 + 2*z**2 + 36*z + 95. Is c(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*m = 11*m + 12444. Suppose -4*b + m = -797. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -284, -270, -246, -212?\nAnswer: -168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r - 12. Let m be f(-7). What is the derivative of -1 - m + 5 + 27*z - 10*z wrt z?\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 317, 623, 919, 1199, 1457, 1687, 1883?\nAnswer: 2039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 13*m**2 + 5*m - 1. Let f(l) = -13*l**2 - 6*l + 1. Let d(w) = 2*f(w) + 3*t(w). Let y be 18\/8 + (-1)\/4. Is d(y) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000972 rounded to 6 dps?\nAnswer: -0.000097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/55 and -33\/76280.\nAnswer: 839080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 75 + -72 - (-1 - 0 - -2). Put 1, n, -4, 74 in descending order.\nAnswer: 74, n, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 750*j**3 + j**2 - 4*j + 3. Let a be p(2). Let r = -65946\/11 + a. Find the common denominator of r and (3\/18)\/((-2)\/206).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 t, and 1 f when three letters picked without replacement from wfttftoavwwo.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, v: 7, c: 2}. What is prob of picking 1 c, 1 s, and 2 v?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of -7*d**4\/24 - 4*d**2. Let t(f) be the third derivative of 0 - 7*f**2 - 1\/30*f**5 + 0*f**3 + 0*f + 0*f**4. Determine i(t(u)).\nAnswer: 14*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 45081662 - 45081661.80417763. Let i = -80.19401237 + w. Let s = i + 80. Round s to 4 decimal places.\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-6)\/20*9*4*-10.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by -398\nAnswer: -4\/199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1700 - 1132. What is the remainder when c is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -320*b + 289*b = -32271. What is the remainder when b is divided by 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4744764?\nAnswer: 2, 3, 43933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*j + 3*j + 0*j)*(6 - 1 - 2) + 2 + 4*j - 2)*(-2*j**2 + 3*j**2 - 2*j**2).\nAnswer: -7*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -6\/1085095 and 62\/69685?\nAnswer: 7595665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -334 + 482. Suppose 0 = 4*z - 9 - 111. What is the remainder when f is divided by z?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 443.64906s?\nAnswer: 0.12323585","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4706?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 39149111 at least 39149109?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5656 is divided by 43?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13287962?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 28964, 115879, 260736, 463535, 724276?\n\"Answer: 28971*i**2 + 2*i - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 27*p. Let i(m) be the second derivative of 23*m**4\/6 + 4680*m. Calculate i(z(j)).\nAnswer: 33534*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7768*p + 945 = 7813*p for p.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 g when two letters picked without replacement from {g: 1, z: 9, h: 2, b: 1, t: 1, x: 6}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 AM and 7:43 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -194 - -516. Suppose 3*n - b = 2*s, 2*s + 4 = -0. What are the prime factors of n?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9.79 and 0.179295.\nAnswer: -1.75529805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10 or -3.37?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, d: 5}. What is prob of picking 2 r?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*r + 4 - 23 + 0 + 10 in the form z*r + b and give z.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4491.4 - 0.6. Let q = 4484.028 + b. Let a = q - -8. What is a rounded to 2 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 28 + 58 = 0 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -73 + -21 + 48 + 21?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 123 + -129 - ((-3 - -1) + -42 - (-7 - -2)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**1*b)\/b*b**(-11)*((b\/b**(2\/3))\/b)**(-9) assuming b is positive.\nAnswer: b**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 892 (base 15) in base 12?\nAnswer: 1155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56\/8*(-205)\/205?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 90*j*n**3 - j*n - 2*n**5 + 38*n wrt n?\nAnswer: 540*j*n - 40*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*n**3 - 100 + 3*n**2 + 2*n**3 - n**4 + n + 100 as h*n + d*n**2 + z*n**3 + g*n**4 + a and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1361 - 1265. Let z(w) = -2*w**2 - 3*w + 2. Let h be z(-6). Let a = k + h. Is 11 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -17837811\nAnswer: -89189055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2315 * 0.4\nAnswer: 926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*r**3 + r**3 - r**3)*(4*r - 5*r + 2 - 7) to the form g*r**4 + a*r**3 + x + j*r**2 + k*r and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 4*b + 16 = 0. Suppose 2*n - b = -0*n. Suppose -n*r + 6 = -4*r. Which is greater: -1 or r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 3) to base 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t**4 - 1398*t**3 + t - t + 1394*t**3 = 0 for t.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1058789815 at least as big as 1058789814?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 15\/(-6)*-4*-3*5\/30\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1304351 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3*(-4)\/6 + -1 + 2. Solve -2*n + 7*y = 2*y + 9, -d = -y for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 250 = 50. Let k be ((-15)\/(-2))\/(1*(-30)\/(-320)). Let t be (8\/(-6)*-4)\/(k\/120). What is the highest common divisor of o and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-264*b + 168*b + 448*b)*(-2 - b + 2)*(2 + 1 - 5).\nAnswer: 704*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 + 345\/(-45))\/((-77)\/66)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/22000 and 43\/14575?\nAnswer: 1166000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 + 4*g**2 + 4*g + 3. Give i(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1 - -0.4. Let q(h) = -9*h**2 - 120*h - 38. Let z be q(-13). Which is the second smallest value? (a) z (b) 4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.0997 + -6.0997. What is the second biggest value in -4, 3, o, 2\/3, 1\/4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -25096.215 and 0.3.\nAnswer: -25095.915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -3*m**3 - 16*m**2 - 66*m - 240. Calculate v(-4).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 352497*m. Let y(b) = 37*b - 9. Calculate c(y(d)).\nAnswer: 13042389*d - 3172473","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 520178742 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 20 + 10 = 2*m, 0 = -5*m + 2*b + 33 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1 from -848814.\nAnswer: -848813.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.4, -2\/17, -0.15, -0.5, 0.17, -1?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -20020335 less than -20020335?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 67204739?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 256 - 3*j + 760 + j + 2669 + 2*j**2 + 623 in the form z*j**2 + b*j + o and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 + 7*s - 2. Let w be h(3). Solve 2*k - 4*k = w for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 - 2*q - 87 - 24)*(-10*q - 5*q**2 + 10*q)*(0*q + 2*q + 0*q) - 3*q**4 + 7*q**4 - 2*q**4.\nAnswer: 22*q**4 + 1220*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 6*l - 60. Let b be t(10). Let q = -8 - -4. What is the nearest to b in 0.5, 3, q?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2368 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 4*n = 2*p - 18, -5*n - 9 = p. Solve 0 = s - p*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 PM and 8:29 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 386 - 262. Let g(l) = -m*l - 5 + 7 + 127*l. Let p(h) = 2*h**2. Calculate g(p(v)).\nAnswer: 6*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 - (-2)\/((-4)\/(-42)). Let m be (15 - -13) + 8\/6 + 20\/30. Calculate the highest common divisor of m and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 5*r - 0*y + 13, -4*r - 4 = 4*y. Let u(g) = -g**3 - 3*g**2 + 3*g + 1. Give u(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1921972 to the power of 1\/2, to the nearest integer?\nAnswer: 1386","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(204)\/(sqrt(12) - (sqrt(48) - sqrt(12))*-1).\nAnswer: sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 3. Let c = -10 + 10. Find the third derivative of 2*n**5 - n**2 + c*n**2 - n**o wrt n.\nAnswer: 120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2652, -5303, -7952, -10599, -13244?\nAnswer: -15887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -3*i + 3*i + 5*i. Let s(h) = h. Give s(d(m)).\nAnswer: 5*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 169230?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1334*f - 2268 - 1249 - 485 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13b (base 12) to base 7.\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29298 is divided by 105?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -136 + 119 + 3*h - 5*h.\nAnswer: -2*h - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rarqqrqqa. Give prob of sequence qr.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -374 + 373.5. Let m = 0.4 + -1.4. Which is the closest to m? (a) 0.4 (b) -0.1 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/1144 and 61\/1888068?\nAnswer: 41537496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -1665.4795165 to 1 decimal place.\nAnswer: -1665.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 1 + (15 - (-2 - -30) - -1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of 13*g**4\/4 + 7*g**2 + 7. Find the second derivative of m(o) wrt o.\nAnswer: 78*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - p = 712. Let o = 1095 - 718. Let f = p + o. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53852 is divided by 2331?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 + 9. Suppose u = -0*o - o + 39. Does 13 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1814358*g**4 + 2323269?\nAnswer: 7257432*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.864299 to three decimal places.\nAnswer: 2.864","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-112)\/84)\/(4\/6 - 8\/9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 385415358 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 17200 rounded to the nearest one thousand?\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5484857768 a multiple of 509?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 21.4 * -2.\nAnswer: -42.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - -29 - (90 + -61).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 AM and 10:44 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1197262*w**2 + 1221654*w**2 - 2418915*w**2.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17604*t**3 - 65*t**2 - 18*t + 33134?\nAnswer: 105624*t - 130","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -4*x**2 - x - 1. Let f be v(-1). Which is the nearest to -1\/4? (a) f (b) 1\/3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -4) + -15 + (-17 - (-46 + 24)) + 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1\/12, -0.078, 4.\nAnswer: -3, -0.078, 1\/12, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 3*x**3 - x**2 - x**2 - x - 2*x**3 + 2. Let u be h(2). Suppose 2*l + u*l - 24 = 0. Is 12 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*q = -52 + 494 for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1504 is divided by 80?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1197 or -1196?\nAnswer: -1196","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16351 and 788?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z - 127 = -19. Let h be (-51659998)\/6 + (-1 - z\/18). What is h rounded to the nearest 100000?\nAnswer: -8600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -5*h - 1. Let d be w(-1). Suppose -16*a + 15*a - 5 = 0. Put 2, a, d in decreasing order.\nAnswer: d, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s**4\/4 + 637*s**3\/4 + 30471*s**2\/4 + 29835*s\/4 = 0. What is s?\nAnswer: -585, -51, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -59168, -118474, -177780, -237086?\nAnswer: -296392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101573508?\nAnswer: 2, 3, 313, 27043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (162\/(-24))\/(30\/(-40)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*t, -12 = -2*j - 3*t - 0*t. Solve -4*i - 10 = -30, 4*x - j*i = -15 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(2\/(-1)*6\/(-6)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 2)*(k + k + 3*k)*(-480*k - 2072 + 2072)*(-6*k**2 + 8*k**2 - 4*k**2).\nAnswer: -4800*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -9. Is u at least as big as -0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 426 and 2414.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 118 = w. Let r = -31 + w. Let o be 2\/(-13) - 378\/(-91). Calculate the greatest common divisor of o and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2919 - 2894. Solve -t*a + 6 - 31 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*p + 642 = 17*p. Suppose -2*o = -8, -5*q + 3*o = o - 37. Suppose -q*l = -p*l - 27. Calculate the lowest common multiple of l and 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/40 and 23\/39761280.\nAnswer: 39761280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/25 in 566, 3, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10563, 21126, 31685, 42240, 52791, 63338, 73881?\nAnswer: 84420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -54 + 51. What is the fourth biggest value in -0.4, -0.5, h, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 5:34 AM?\nAnswer: 7:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3*198\/810 + 1 + (-3)\/5. What is the second smallest value in -2\/29, q, -0.051?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 349*t - 204*t**2 - 2*t**3 + 5*t**3 + 1586*t - 300*t**2 + 33*t = 0.\nAnswer: 0, 4, 164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 1 = 11*f - 11. What is the least common multiple of f and 8064?\nAnswer: 8064","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16483*u**6 + 20547*u**2 wrt u.\nAnswer: 1977960*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 3*c - 6 - 47, -2*m = c - 134. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2260)\/176)\/(-5) - (-525)\/(-210)\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(10\/4)*(-60)\/192.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 857016 is divided by 8085.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 120773?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 AM and 12:07 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.3 - 2.6. Let j = -2.21 - 2.75. Let o = -0.04 + j. Which is the third biggest value? (a) 2\/5 (b) p (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -57 + 56. Which is smaller: d or 0.29?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9600\/(5*(-15)\/(-250)). Round k to the nearest 1000.\nAnswer: 32000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of 19*k**8\/56 - 109*k**5\/20 - 67*k**4\/4 - k**3\/3 - 7*k**2\/2 + 7*k + 201. What is the third derivative of r(x) wrt x?\nAnswer: 2280*x**3 - 654","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1717352, -7.\nAnswer: -7, 3, 1717352","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/291828 and 101\/8790.\nAnswer: 1459140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 715?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3783)\/(-11) + 20\/220. Let l = 816 - o. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = -15*v + 14. Let p(u) = -2*u**3 - u**2 - 8*u - 7. Let l be p(v). Solve -l = -2*r + 4 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 136, 143, 154, 169, 188, 211, 238?\nAnswer: 269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 - 4*i + 1. Let f be y(4). Let k be -4*(-2)\/(-12) + f. Which is the third biggest value? (a) 4\/5 (b) -4\/7 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*q + 22759 = -8393. List the prime factors of q.\nAnswer: 3, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xffx when four letters picked without replacement from {q: 1, x: 3, f: 4}?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/(-3) + (160\/48 - 4)*2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 - k + 10753. Let z be t(0). Suppose -5*l = -z - 1032. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3380269339?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 468307373 to the nearest integer?\nAnswer: 21640","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 1 - 3)*(6 - 1 - 4) - 3 + 3 - 2 + 5 + 2 - 5)*(6*h + 0*h - 5*h).\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -4*a. Let t(g) = -2 + 2 - 4*g**2 + 0. Calculate d(t(m)).\nAnswer: 16*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2273959, -2273954, -2273945, -2273932, -2273915, -2273894, -2273869?\nAnswer: -2273840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kvq when three letters picked without replacement from {k: 7, q: 4, v: 7}?\nAnswer: 49\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -2209 equal to -2216?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 - 1. Let v(h) = 2*h**3 - h**2 + 2*h - 17. Calculate 4*j(c) - v(c).\nAnswer: 2*c**3 + c**2 - 2*c + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4076 - -365. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20 + -20. Suppose g = -j - j + 132. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 594.1906 centimeters to meters.\nAnswer: 5.941906","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -4*w - 110, -w - 3*k = -0*w + 17. Let a = w - -36. Suppose -2*x - a = -80. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 - 1.963\nAnswer: -2.263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*b + 149 = 121 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -2 (b) -3\/8 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 0 + 2 + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -53 + 20702?\nAnswer: 20627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.1 - 1. Let o be 16\/154 - 2\/7. Sort -1\/3, p, o in ascending order.\nAnswer: -1\/3, o, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/(-9))\/((-20)\/8960*16)\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 - 10*n. What is x(-6)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 108 divided by -15477?\nAnswer: -36\/5159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*14\/(-21))\/((-2)\/15).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 - 16*i + 124. List the prime factors of w(-17).\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 32689, -6 in decreasing order.\nAnswer: 32689, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + 8 - ((-6094)\/(-759) + -12).\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -144, -134, -114, -78, -20, 66, 186?\n\"Answer: p**3 - p**2 + 6*p - 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pvc when three letters picked without replacement from {h: 1, p: 1, k: 1, c: 2, v: 1, q: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2450, 4902, 7356, 9812, 12270, 14730, 17192?\n\"Answer: d**2 + 2449*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of 0*r - 3*r**2 + 0 + 1\/96*r**4 - 1\/240*r**5 + 1\/12*r**3. Suppose y(d) = 0. What is d?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 4652781?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.03 - -3. Let g = x - 0.27. Let n = -3747 + 3748. What is the third biggest value in n, -5, g?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2774*y + 339068 = 1808*y for y.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 24\/(-15) + 0 - 50\/125\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w + 1. Let a(u) = 2*u - 4. Let q(v) = -3*a(v) - 8*y(v). Let s be q(10). Let d = 4 + s. What are the prime factors of d?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 3:06 AM?\nAnswer: 6:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*u - u = -136 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**2 - 2*p**2 - 2*p**2)*(5 - p - 5)*(-3 + p + 3) - 146 + 84 - 2424*p**4 + 62.\nAnswer: -2421*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 51\/4 of a milligram?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 - 2*y**2 - 3)*(-2*y - y + 1 - 2*y)*(2 + 0 - 3) to the form c*y + x*y**3 + l + k*y**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 9:27 AM?\nAnswer: 10:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.17 in 4\/5, 6, -4, 146?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -6. Find the first derivative of -y**4 + 7*y**4 - 2 - 1 - 3*y**k wrt y.\nAnswer: 12*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4053150 is divided by 4961.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-4))\/(153\/408)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 168580094 - 168580079.99999912. Let x = 14 - i. Round x to 7 decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**3 - 1620*n**2 - 1623*n - 406.\nAnswer: (n - 406)*(2*n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -47 + -24?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 60.4 - 32. Let s = -30 + w. Let n = s - -2. Is 0.3 at most n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6594706 to the power of 1\/4, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (1 - (5 - 6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53003216 divided by 658.\nAnswer: 80552","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17276\/21489 - -31\/39. Which is smaller: m or 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -9*i**3 + 10*i**2 + 24*i + 1. Let d(y) = 5*y**3 - 6*y**2 - 14*y - 1. Let z(c) = 7*d(c) + 4*w(c). Give z(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 41 + 55 - (80 - -121).\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2055, 1842, 1479, 960, 279?\n\"Answer: -m**3 - 69*m**2 + m + 2124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/9, -0.4, -5.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, w: 3, y: 5}. What is prob of picking 4 y?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -0.058?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160*q = 149*q + 49720. List the prime factors of q.\nAnswer: 2, 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8.1 + -12.1. Put d, 3, 0.2, 5 in descending order.\nAnswer: 5, 3, 0.2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -5, -3*n + 27 = 2*n + 3*u. What are the prime factors of 496 + 0\/(-10 + n)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 PM and 3:01 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 7:46 AM?\nAnswer: 7:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 38964?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, c: 2, o: 1, b: 2, z: 1, s: 1}. What is prob of picking 1 b and 1 c?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = u - 27. Let x = u + -15. What is the closest to x in -2, 2, -1\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -491*u - 11178. Calculate m(-22).\nAnswer: -376","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1321979491 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-39))\/((78\/(-13))\/(-18))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*c - 62*c = -1372. Suppose -4 - 4 = -4*y, f - 5*y = 63. Calculate the remainder when f is divided by c\/7 - 1 - -16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -80*d - 110. Let a(j) = 32 + j + j - 28 + j. Let n(l) = -55*a(l) - 2*v(l). Let k(y) = 4*y. Determine n(k(o)).\nAnswer: -20*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2773545683.\nAnswer: 137, 20244859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2096?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1\/136 + 157\/2856. Suppose 0 = -0*q - 2*q - 2. Which is smaller: q or m?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 69*c - 65*c - 472. Calculate the remainder when c is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 60 and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17990982.\nAnswer: 2, 3, 999499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 127 divide 74847450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1336 + (1 - -7)\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*m - 2*m - 2*m)*(-1739 + 1215 - 818 - 1078) as l*m + q and give l.\nAnswer: -2420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 PM and 5:46 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 914480230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 55600 (base 8) to base 12\nAnswer: 11680","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 127495131*l + 1. Let v(o) = -2*o**2. Calculate h(v(t)).\nAnswer: -254990262*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.6 + -2.1. Which is the closest to -2? (a) l (b) -0.2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 5320848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 6 = -2*z + 2*w, 4*z - 3*w = 14. Solve 2*x - 12 = -z*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 491612741?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -504353 divided by 1?\nAnswer: -504353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26915 - 15408. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23817 = -5*z - 4*d, 4*d - 7247 - 7040 = -3*z. Is 43 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 5.6761nm?\nAnswer: 0.0000000000056761","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ryyxyxyruyxyyyruu. What is prob of sequence rr?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-28)\/16 + 3)*-12. Let q = -35 - -31. Let r be (-42)\/q - z\/(-10). What is the highest common factor of 54 and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 3 = -3*w, -5*u + 2 = 4*w + 42. Is w bigger than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.2 + 1.1. Let o = -1.9 + z. Let n = -7\/4 + 9\/4. Which is greater: o or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 53128.00124634 + -53128. Round m to five dps.\nAnswer: 0.00125","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 52 = 4*u + 3*r, -200 = 5*u + 3*r. Let z = 104 + u. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7306, 4, 0.02, -0.03 in descending order.\nAnswer: 4, 0.02, -0.03, -7306","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-80)\/2280)\/(3\/3)\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 17*y + 2. Suppose -k = -5*n + 26, 5*k = -5*n - 0*k + 50. What is the tens digit of o(n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -o**3\/4 - 39487*o**2\/4 - 69090*o = 0.\nAnswer: -39480, -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 5*r**2 + 2*r + 2. Let t be h(-1). Suppose -4*j + t*v = -107, 4*v = 5*j + 2*v - 121. Calculate the remainder when 65 is divided by j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 PM and 6:00 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (-9 - -6 - -4) + (-3 - -3)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m**4 - 3*m**4 + 4*m**4 + (2*m - m**2 - 2*m)*(-2*m**2 + 0*m**2 + 7*m**2).\nAnswer: -2*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 78*b**2 - b - 11. Let i(f) = 8*f**2 - 1. What is 5*i(a) - s(a)?\nAnswer: -38*a**2 + a + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 202120102102002 + 21?\nAnswer: 202120102102100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.06 - -0.1.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 9560 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + -5. Let l = -1.378 - -0.978. What is the fourth biggest value in 2, y, 3\/7, l?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22807*m*y**5 - 351*m*y - 41*m - 2 wrt y.\nAnswer: -456140*m*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 791 - 2374\/3. Which is the second biggest value? (a) -1 (b) f (c) 503 (d) 1 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 201 and 296609.\nAnswer: 889827","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-35))\/((-2)\/(-42)) - -1*2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -44\/9 + 85\/18. Let v be 1*(1 + (2 - 2)). Which is bigger: v or g?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = 11*t - 49, -t - 9 + 43 = -2*j + 25 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7346.25 rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -506 + 173 - 35*c**2 + 193 + 168 as j*c + u + r*c**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -a + 3*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*j - 2*j - 4*j)*(-j - 2*j - 5*j) - 89*j + 89*j - 30*j**2)*(0*j - j**2 + 0*j).\nAnswer: 6*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 316448 is divided by 39502.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 5 + 1 = 0. Let k(g) = g**2 - 6*g + 4. Let c be k(x). Let n = 9 + c. Sort 4, 2, n.\nAnswer: 2, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 - 8*l**2 + l + 1. What is the units digit of d(8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1512)\/sqrt(6))**2 + -4*sqrt(7)*-2 - ((sqrt(1008) + -3*sqrt(1008))**2*4 + -3).\nAnswer: -15873 + 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l*((l**(5\/6)*l)\/l)\/l*(l*l\/(l\/(l**(6\/5)\/l))*l)\/l assuming l is positive.\nAnswer: l**(91\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 149734400*h**3 - 61*h - 942229?\nAnswer: 898406400*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 50*s = 53*s + 18, -4*s = 3*f + 17. Let w be (-222)\/333 + 9476998\/f. What is w rounded to the nearest 100000?\nAnswer: -3200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y - 3*y + y)*(-2807*y**3 - 516*y**3 + 325*y**3).\nAnswer: 8994*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000007188 rounded to seven dps?\nAnswer: -0.0000072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-6)\/8)\/(-3))\/(6\/(-72)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20.2228mm to kilometers.\nAnswer: 0.0000202228","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 168\/49 - (-30 + (-5150)\/(-175))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 989 is divided by 90.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9085, -8739, -8163, -7357, -6321, -5055?\nAnswer: -3559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/4)\/u*u)**(-1\/17)\/(u*u*u\/(u*u*u*u**2*u)*u*u)**(9\/11)*u*u\/(u\/((u*((u*u**(7\/5)*u)\/u*u)\/u*u)\/u*u))*u**(-2)*(u**(1\/3)*u)\/u**3 assuming u is positive.\nAnswer: u**(28463\/11220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 25 = n - 135, 0 = -c - 2*n - 44. Let w be (-13)\/(c\/(-360)) + 4. Let j = 139 + w. List the prime factors of j.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 35*u**3 - 29*u**2 - 27*u + 118. Is z(15) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/4 + (-46)\/(-8). Is 230\/f + (-1)\/3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d and 1 o when four letters picked without replacement from oddddddo?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/3 (b) 2 (c) -1\/4 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-3 - -1) - 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a day in minutes?\nAnswer: 3840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -7*l + 84. Let t be ((-78)\/9)\/(4\/6). Let u = t + l. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*a + 903 - 105. Find the first derivative of -83*c**2 - 147 + 140*c**2 - a*c**2 wrt c.\nAnswer: -114*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22 + 24. Suppose v*z - j + 4440 = -2*z, -3*z = 3*j + 3330. What is the units digit of 33\/(-88) + z\/(-16)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 - 10*b**2 + b - 10. Let p be k(10). Which is greater: p or -4\/57?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -104, -7, 155, -2, 1, -1, 4 in descending order.\nAnswer: 155, 4, 1, -1, -2, -7, -104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 5:44 AM?\nAnswer: 5:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -28.063 - -0.063. Let y = q - -21. Is y greater than -1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-2)\/(-18) - (2 - 2)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120*h**3 + 3*h**5 + 33*h**4 + 144*h**2 + 5527 - 5527 = 0. Calculate h.\nAnswer: -4, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2572523 rounded to 3 dps?\nAnswer: 0.257","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60982160.\nAnswer: 2, 5, 762277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 488796 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 277448785 greater than or equal to 277448786?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -8*x**2 - 185*x + 1236. What is v(7)?\nAnswer: -451","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 254 is divided by 229.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/1806 and 179\/3612?\nAnswer: 3612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 215155 (base 6) in base 16?\nAnswer: 464f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 75561280 and 2752?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -52 or -54?\nAnswer: -54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -80*q**2 + 14*q**2 - 38*q - 11*q + 54*q to c + z*q + b*q**2 and give b.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 AM and 6:20 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k + 2. Let l be p(4). Let g be 18\/(-27) - (32\/l)\/2. Let o be (-6 - 0)*4\/(-6). Solve o*n - x = 3*x - 8, g*n + 4*x + 4 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 4*a - 4*k, 16 = -0*a + 2*a + 2*k for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2720746 + -18.301492\nAnswer: -2720764.301492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -584*i**2 + 50*i + 41. Let l(s) = 1168*s**2 - 116*s - 82. Let v(a) = 3*l(a) + 7*w(a). Find the second derivative of v(f) wrt f.\nAnswer: -1168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -248257, -248255, -248253, -248251, -248249?\n\"Answer: 2*q - 248259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 3*h = 0, 0 = 2*l - h - 5 + 1. Let x be (5\/l)\/((-2)\/(-36)). What is the remainder when ((-28)\/10)\/((-6)\/x) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**3 - 625*k**2 + 630*k.\nAnswer: -5*k*(k - 1)*(k + 126)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of 0*u + 6\/95*u**5 + 2\/57*u**3 + 0*u**2 + 18 + 1\/57*u**6 + 3\/38*u**4. Factor i(m).\nAnswer: 2*m**2*(m + 1)**3\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 768*k + 1311*k + 48149 = 128*k - 8430 for k.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-5 + 1*sqrt(76)*-3 + -4*2*sqrt(76) + 1))**2*-1.\nAnswer: -230300 - 4400*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 6*o + 2 = -2*o, -4*m + 2*o + 26 = 0. Suppose 5*n = m*n - 4. Which is the smallest value? (a) n (b) 5 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v, 3*v = q - 352 - 1151. List the prime factors of q.\nAnswer: 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17718 - 31614. What is the hundreds digit of (2\/6)\/((-24)\/x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*i + 2 = 471 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -20043 + 3?\nAnswer: -20040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -312 - -480. What are the prime factors of r?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3517 - 273. Calculate the remainder when a is divided by 116.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.0981 + -0.0368. Let t = -14.3013 + m. Let c = -14 - t. Round c to 1 dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of 27*q**5\/20 + 95*q**2. Let s(j) = 2*j**2. Give n(s(b)).\nAnswer: 324*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (23\/6)\/(5\/3) and -58\/7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 233 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + 17. Let p be 11\/(3 - 0 - 2). What is the highest common divisor of x and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 221 (base 13) in base 7?\nAnswer: 1031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 35 = -10*s, -3*x = 5*s - 91. Solve -5*k = a + 18, -18*a + 2*k = -x*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7\/(-22) - (-192)\/(-1056))\/((-1)\/(-8))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k + 13. Let u be b(9). Suppose -6 = 4*j - 22. Solve -5*t - 4*w + 30 = 0, -33 = -j*t - 9*w + u*w for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 462160 and 212768.\nAnswer: 1744","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffzszzftfzzzzfzfz. What is prob of picking 2 z and 1 t?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1072421.\nAnswer: 7, 23, 6661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((119\/(-14))\/17)\/(-2)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (576 - 571) + (15 - -1) + -1 + 3.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 211 + -61. Find the second derivative of -7*l**5 + a + 5*l - 150 - 2*l wrt l.\nAnswer: -140*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 29*z + 37. Is u(3) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - 6*o**2 + 4. Let r be s(6). Suppose 2*p = -n + r*p + 4259, 0 = -4*p + 16. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26)\/39 + 32\/(-6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 x when three letters picked without replacement from {i: 2, g: 3, x: 7, a: 3, w: 1, u: 2}.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4146 + 9*x**2 - 4146.\nAnswer: 9*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -8*j**2. Let d(f) = -13*f + 5*f + 8*f + 9*f**2 + 16*f**2. What is v(d(n))?\nAnswer: -5000*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 12344 (base 7) to base 13\nAnswer: 1643","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -501461 (base 7) in base 16?\nAnswer: -14a89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17723935085 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, -5, 27\/10, -3, 3.\nAnswer: -5, -3, 3\/5, 27\/10, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 3 = 3*d, 5*d = -0*d + 4*r + 32. Suppose -d*p + 3*p = 0. Suppose -5*k - 5 = p, -c + 2*k = 5*k + 1. Solve -6 = -2*s, 9 = -c*m + m + 4*s for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r**2 + r**2 - 31*r**3.\nAnswer: -31*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2\/33)\/(k**(3\/11)*k))\/(k**2*k)**(-1\/8))**(16\/3) assuming k is positive.\nAnswer: k**(-46\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 1. Let m be (30\/9 + l)*-6. Let x be 2*((-1 - m) + -1). Calculate the greatest common divisor of x and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 79\/((-3634)\/(-552))*(-3)\/(-2*3).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1 and 23?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70520561 is divided by 463951?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 2*k = 4*k - 18, a - 6 = -4*k. Suppose -1 = -2*v - 9. Let f = a + v. Is 2 at least as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14918970?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 3*r + 12, 49*t - 48*t = 5*r + 16. Suppose t*i = 2890 - 256. What is the remainder when i is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/5826 and -53\/33.\nAnswer: 64086","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -4, 0.4, -32\/5, -42247?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 49.01284 milligrams in tonnes?\nAnswer: 0.00000004901284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 57544 and 546668?\nAnswer: 1093336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-3) + 33\/9. Suppose r*f = 3 + 3. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1746 divided by -6\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 2*r**3 + 3 + 2*r**2 - 14 + 11 + 11*r as a*r**2 + c*r + k*r**3 + g and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.33941942407 - -1.33942. Round c to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-201942)\/4315)\/(12\/(-10))?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*q + q + 2*q)*(17*q + 20*q - 23*q).\nAnswer: -70*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p**2 - 136*p + 2231. Calculate the remainder when 555 is divided by t(42).\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 2*u = 1. Which is bigger: u or -18?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 823227909?\nAnswer: 3, 7, 31, 1264559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 x, 1 b, and 1 i when four letters picked without replacement from zqihqxqbbziqq?\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of 1\/2*s**6 + 4*s**3 - 9\/5*s**5 + 64 + 0*s + 0*s**2 + 0*s**4. Suppose r(w) = 0. Calculate w.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -30.7037 to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -109486 (base 16) to base 6.\nAnswer: -35142314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 4*n - 2 + 1, -18 = -2*y - 3*n. Suppose 7*o = 2*o + 30. Suppose y*c = -w + 5*w - o, 0 = -2*w. What is the closest to 0.1 in c, 0.5, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -177*c**3 + 190 - 147 - 43 + c**2.\nAnswer: -177*c**3 + c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1608015 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56253, -224820, -505765, -899088?\nAnswer: -1404789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001821471 to 5 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -151*v - 102*v + 52*v - 14*v as i*v + q and give i.\nAnswer: -215","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 576135 and 29205.\nAnswer: 6337485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*m*y**3 + m*y**2 + 2*m*y + 61*y**3 - 175*y wrt y.\nAnswer: 12*m*y + 2*m + 366*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 take away 1526380.569?\nAnswer: -1526389.569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*n = -103*n + 54*n - 182 for n.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1548754 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -7.519?\nAnswer: 0.7519","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12838?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15*14\/24)\/(45\/144).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3144, -3088, -2984, -2820, -2584, -2264?\n\"Answer: 2*k**3 + 12*k**2 + 6*k - 3164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 + -32. Let h = 3 - m. Suppose -12 = -4*y, 3*n - 4*y + h = -y. Let f(s) = 2*s + 4. Give f(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51781918 is divided by 3495?\nAnswer: 3493","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -138774 <= -138731?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-3 + (sqrt(19) + (sqrt(19) - (-1 + sqrt(475))))*-4 - (-2*(sqrt(209) - 2*sqrt(209)))\/(sqrt(110)\/(sqrt(10)*1))))**2.\nAnswer: -2240*sqrt(19) + 31184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7338353 is divided by 182?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-68)\/85*25 + 17. Put 4, 0, 103, j in decreasing order.\nAnswer: 103, 4, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*p**2 - p**2 + 3*p**2)*(-p**2 + 3 - 1 - 1).\nAnswer: -16*p**4 + 16*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - 1. Let w = 13.7 + -8.7. Sort 3\/7, s, w in increasing order.\nAnswer: s, 3\/7, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - a**2 + 0)*(4*a**2 - 4*a**2 - 6*a**2) - 5*a**4 + 0*a**4 + 4*a**4 - 5*a**4 + 7 - 6 + 4*a**4.\nAnswer: 4*a**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17282 - 17196. Calculate the remainder when 173 is divided by d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 13 (b) 0.4 (c) 0.5 (d) -1 (e) 0.35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 + 22*t**2 - 44*t - 44. What is m(-24)?\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (0 - -51) - (-3 + (12 + -13 - 5))?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 161407.\nAnswer: 161407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00035343045 to 4 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g**3 - 16*g - 8*g**3 + 6*g**2 - 22 - 10 + 10. Let b(x) = -2*x**3 + 2*x**2 - 5*x - 7. Give 16*b(s) - 5*z(s).\nAnswer: -2*s**3 + 2*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -2*c**3 - 2*c**2 + 2*c + 2. Let i(d) = -9*d**3 - 3100*d**2 + 10*d + 10. Determine 5*a(o) - i(o).\nAnswer: -o**3 + 3090*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -3111 at least as big as -1397?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1\/4)\/((-161)\/(-644)))\/((-204)\/(-36))?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*y - 215032 = -7*y + 291404. What is the remainder when y is divided by 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25761099?\nAnswer: 3, 7, 13, 197, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of r**5\/2 - 5*r**3\/3 - 5*r - 6. Let l(w) be the first derivative of j(w). Find the second derivative of l(b) wrt b.\nAnswer: 60*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 - 3*m**2 - m - 1. List the prime factors of x(-4).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k - 1. Let f(w) = -2*w - 2. Let u(r) = -f(r) + s(r). Determine u(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -671\nAnswer: 1\/671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 4*i**2 + 2*i - 212. Let u(t) = -11*t**2 - 6*t + 634. Give -6*u(o) - 17*v(o).\nAnswer: -2*o**2 + 2*o - 200","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wyxp when four letters picked without replacement from {x: 1, m: 1, w: 1, y: 1, p: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 36\/(-510)*(-50)\/(-940). Which is bigger: w or -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10449 + 2361 = -8*d. List the prime factors of d.\nAnswer: 3, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42827531 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + 9a63?\nAnswer: 9a68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/75)\/(5*(-5)\/(-500)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 + -38 - 15 - -9.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)\/(2*sqrt(36)\/sqrt(3) + sqrt(12)))**2 + sqrt(132)\/(sqrt(60)\/(sqrt(15)\/sqrt(3))).\nAnswer: 11\/9 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 1818 divide 88519653?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 - 8*i - 10. Let q(x) = x**2 - x - 4. Let s be q(3). Let d be (-10)\/(-4)*(-2)\/2*s. Calculate the remainder when 10 is divided by j(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -46*i**2 - 5*i. Let v(w) be the third derivative of w**5\/60 + 3750*w**2. What is a(v(c))?\nAnswer: -46*c**4 - 5*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129196 is divided by 8608?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2466 and 6302.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30 + -33. Let y = 18 - 11. Let h = 7.3 - y. What is the second biggest value in h, -2\/13, u?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*b**4 - 1 - 2*b**3 - 8*b + 5*b + 2 - 3 to the form d + q*b**4 + m*b**3 + j*b + p*b**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7059863 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -4042 bigger than -4068?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 4*j = 14, 5*j = -3*s - 4 - 13. Let c be 31\/4 + s\/4. Solve 0*v = 2*v + c for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 1)*(5*d**2 - 4*d**2 - 2*d**2) + (-1 + 1 - 2*d + 2)*(d - 5*d + 2*d) to q + l*d**2 + s*d and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23 - -112. What is the first derivative of -f*m + 2*m**4 + 16*m**4 + 89*m + 20 wrt m?\nAnswer: 72*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -409.848 + 407. Let z = t + -0.112. Let o = z + -0.04. Put o, 0.9, 2\/3 in descending order.\nAnswer: 0.9, 2\/3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5614 is divided by 2708?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/3 of a decade?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -143478 (base 10) in base 15?\nAnswer: -2c7a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 - 11*h**2 - 20*h + 97. Let k be r(12). Calculate the least common multiple of 18 and (-1209 - (k - -2))*20\/(-30).\nAnswer: 7272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.7 - -3.7. What is the third biggest value in -2\/19, s, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 66 = -5*i + 89, 2*w + 160 = 5*i. Let n = 240 - i. Is n a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 10, o: 2, s: 6}. Give prob of sequence lss.\nAnswer: 25\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2. Let s(t) = 11*t + 5. Calculate s(v(f)).\nAnswer: -11*f**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 236 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 3*h = 2, -7*i + 4*i + 6 = 2*h. Let v(r) = r. Let o(c) = 3*c. Let g(a) = i*o(a) - 7*v(a). Let j(t) = -21*t**2 - 2*t. Determine g(j(z)).\nAnswer: 21*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75 is divided by (-3)\/18 + 635\/30?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7001 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/3)\/(5\/(-75)). Let a be 12*(15\/9)\/f. Solve 2*z = 2*j - a, j = 5*z + 4*j - 6 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 0.53 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8.1 - -5.96. Sort l, -5, 4 in descending order.\nAnswer: 4, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -118 and -114 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -184 = -3*t + 4*t. Let o be (-2)\/7 - t\/56. Let j be (-38)\/(-171) - 8\/(-45). Which is the third smallest value? (a) j (b) o (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -2\/3 (c) 679580 (d) 0 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 8*z**2 - 12*z - 13. Determine o(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.2 + -4. Let r = n + 3.8. Let u = -2.94 + -0.06. What is the smallest value in 1\/5, r, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1485313 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (18\/54)\/((-14)\/6)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 43761784 and 27848408?\nAnswer: 306332488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - h - 2 = 0, 5*h + 20 = -3*b + 4. Let p = b + -1. What is the closest to 0 in p, -0.5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 675.086 plus -35156?\nAnswer: -34480.914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1075400 and 3144?\nAnswer: 422632200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s = -23*s + 9906. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -394*y - 4. Let p be s(-4). Suppose -72 = -16*j + 8. Find the first derivative of 8 - 1572*z + p*z - j*z**4 wrt z.\nAnswer: -20*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 0*d = -3*d + 57, 2*d + 10 = 0. Suppose -206 + 654 = 32*j. Suppose -j*x - 44 = -o*x. Solve -z + 2*l + 6 + 1 = 0, 2*z - 3*l - x = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*m**4 + 47237*m**3\/3 + 208459*m**2\/3 + 247738*m\/3 + 86504\/3 = 0. Calculate m.\nAnswer: -3932, -11\/4, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of 333*a**4\/2 + 4505*a**3\/6 - a**2 - 983*a. What is the derivative of v(h) wrt h?\nAnswer: 3996","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4593?\nAnswer: 3, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qtqkpnqqtnppqp. What is prob of picking 2 p?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l. Let p(u) = 47*u - 5. Let b(k) = 11*k - 1. Let w(x) = -12*b(x) + 3*p(x). Give 10*o(a) - 2*w(a).\nAnswer: 2*a + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1014, 2118, 3222, 4326, 5430?\n\"Answer: 1104*z - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 8:46 PM?\nAnswer: 4:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 2*u = -8 + 36, -4*a + 16 = u. Solve a*p - 2*p + 5*d + 5 = 0, 0 = -2*p - 5*d for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 212 a factor of 404663?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + 170054787?\nAnswer: 170054785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9)\/(-2)*(-2)\/(-3). Let h(w) = -3*w - 4. Let m be h(-3). Suppose m - r = n. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - -13\/2. Sort -13, i, 0.2.\nAnswer: -13, i, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 111 + 54. Let f(k) be the first derivative of 15*k**4\/4 - k**3\/3 + k**2\/2 + 1. Let n be f(1). Calculate the greatest common divisor of q and n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.249 - -3.249075645. Round p to six dps.\nAnswer: 0.000076","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 112\/(-12) + 3\/9. Does 12 divide (1 - (-12)\/g) + 398\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 559 + -346. Suppose -5*m = -162 - d. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 + 19 + (16 - 2) + (-5 - -4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 76059 and 32211?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 486 divided by 6\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 595459800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 27 = -7. Suppose -3*j + 0*j + 6 = 4*h, -5*j = -4*h - d. What is the second derivative of -12*c + c - 17*c + 3*c - 37*c**j wrt c?\nAnswer: -74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 55354 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + (2 - 1) + 4. Let a(o) = v*o - 3*o - 2*o + 2*o**2 + o. Calculate the remainder when 5 is divided by a(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -5*j**3 + 1. Let n be p(1). Let d = -2 - -4. Let w = 49.1 + -54.1. Which is the nearest to 0? (a) d (b) w (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 133871848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -4 (b) -18 (c) 79 (d) -0.044\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 14, 10, 6, 2, -2?\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -324139 + 950048. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3\/9 + 379*f**2\/9 - 25526*f\/9 + 96104\/9.\nAnswer: -(f - 293)*(f - 82)*(f - 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 10 = 0, 5*n + 0*w - 15 = 5*w. Let l be (48\/10)\/(n\/(-25)). Let o be ((-6)\/4)\/((-9)\/l). Put -2\/11, -0.3, o in descending order.\nAnswer: -2\/11, -0.3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6813 - -11155. Which is greater: q or 4340?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1643.\nAnswer: 31, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 9:03 AM?\nAnswer: 9:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -585, -319, -37, 267, 599, 965, 1371?\nAnswer: 1823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001661 rounded to four dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -46*c + 16*c - 16 - 16 - 6*c**2 + 8*c**2. Let d be a(-1). Find v, given that -27\/8*v**3 - 3\/8*v + d - 9\/4*v**2 - 3\/2*v**4 = 0.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 13 - (-2 - (-53)\/11)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-2))\/((7\/(-14))\/(-1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -50.7 times 2?\nAnswer: -101.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 != 367559\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of r**4\/16 - r**3\/12 - r**2\/8 + r\/4 - 2. Factor m(g).\nAnswer: (g - 1)**2*(g + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2806814028819 and 3.44.\nAnswer: 2806814028822.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 less than -1.733707529576?\nAnswer: -3.733707529576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.4352? (a) 3 (b) -1\/3 (c) 0.3 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 31*a. Suppose 13*q - 16 = -29. Determine c(q).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4057 greater than -4059?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, 6, 1\/7, -136503, 6\/5?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6542938?\nAnswer: 2, 79, 41411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/6*6\/(-72).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115301 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 12427 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-3)*(-18)\/24.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 + 5*q**2 + 4. Let n be y(5). Suppose n*k + k - 31 = -4*m, -2*m + 4*k = -22. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 12411 + 34341?\nAnswer: 46752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 181*j**2 + 124*j**2 - 307*j**2.\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zh when two letters picked without replacement from zllbbhv?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 166 + 383. Let f be (-3375)\/125*(-2)\/6. What is the highest common divisor of i and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 3*z - 20 = 0, -18*r + 4*z = -21*r + 22 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) -4\/17 (b) 9 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25944?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 395028 and 252.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h**0\/h*h)\/h*h)\/h)**(-27))**(-2\/77) assuming h is positive.\nAnswer: h**(-54\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -489*a**2 - a**3 + 502*a**2 + 1 - 2 + 1163*a - 1149*a + 9*a**3 as s*a**2 + v + b*a + n*a**3 and give b.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oj when two letters picked without replacement from ovgvgvsggojfgoj?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 16657*i + 256 - i**3 + 3*i**4 - 2*i**4 - 8327*i - 8327*i in the form c*i**3 + a + k*i**4 + u*i + x*i**2 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, 0.34, -2\/9, 0, 4, -1.8, -11?\nAnswer: 0.34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.14, 0.029, 5.\nAnswer: -0.14, 0.029, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 44130 and 2010?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 + 6*c + 32. Determine s(10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, p: 1, d: 1}. What is prob of sequence ds?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 7*x**3 - 6*x**2 - 6*x - 6. Let q = -2036 + 2030. Let b(j) = 6*j**3 - 7*j**2 - 7*j - 7. Calculate q*b(m) + 7*c(m).\nAnswer: 13*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 10*k - 10. Let s be r(9). Suppose -342 + 88 = -5*i + m, 2*i + 5*m - s = 0. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48721496 is divided by 83?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 254152097 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -20*y**2 - 5*y + 5. Let v be q(1). Is -21 >= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1531 + 1848 + 467)*(0 + 4 - 1)*(-3*r - 2*r + 4*r) to n*r + g and give n.\nAnswer: -11538","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -24*p - 50. Calculate t(6).\nAnswer: -194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4 and 2214599100.\nAnswer: 2214599096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 - 8*n + 4. Let a be d(-9). Let g = -4 - a. Let r be g\/(1 - 15\/18). Is r not equal to 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 x, and 1 e when three letters picked without replacement from xfiefeeej?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 75198775 to the power of 1\/2, to the nearest integer?\nAnswer: 8672","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -39*p + 39. Let f(q) = 39*q - 44. Give 3*f(n) + 4*r(n).\nAnswer: -39*n + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -689 * -15034\nAnswer: 10358426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 39*c**2 - 17 + 19 + 3*c**3 - 2 - 153*c**2 to the form m*c**2 + g*c + r + y*c**3 and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21) + sqrt(21) + (sqrt(189)\/(sqrt(9)*-2) - sqrt(21)))\/(3*(sqrt(7) - sqrt(7)*-3)).\nAnswer: sqrt(3)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1784, -7085, -15808, -27863, -43160, -61609?\n\"Answer: 15*h**3 - 1801*h**2 - 3*h + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y + 27. Calculate q(9).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1, -4, 5095?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.28 or -2226?\nAnswer: -2226","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24089568376*n**2 + 24089568375*n**2 - 10*n + 10*n.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-27*12\/432)\/((-18)\/20)\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 435*g + 5 + 427*g + 18 - 860*g.\nAnswer: 2*g + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -35396250 by 50.\nAnswer: -707925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 806 = 282 - 164. What is the remainder when 1424 is divided by r?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.41 - 1.469. Round h to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 2925380?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzmzzbzmmzzb. What is prob of picking 1 z and 2 b?\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, 17 in increasing order.\nAnswer: -4, 3, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/4 + 1100\/8. Calculate the highest common divisor of 23 and n.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -162627831*r*w**2 - 4*r - 27574229*w wrt w?\nAnswer: -325255662*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1146 - -1335. Does 7 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -210 + 294 = -28*p. Which is the closest to 2\/5? (a) 1.2 (b) p (c) -0.3 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 8200.109ml?\nAnswer: 8.200109","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 5 + (((sqrt(500) + (sqrt(500) - (sqrt(500) + sqrt(500)*-1))*3 - sqrt(500)) + sqrt(500))**2 - (-6*(sqrt(500) + -2))**2) + 3.\nAnswer: -10136 + 1440*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -29*l**2. Let h(j) = -j + 14. Let d(f) = 22*f - 264. Let r(a) = -7*d(a) - 132*h(a). Determine q(r(m)).\nAnswer: -14036*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = p + 13, 8*o - 13*o - 35 = -5*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1468\/7 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 4*o - 38 = 0, 2*o + 439 - 451 = r. Solve 175 = r*w + 161 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - 0)\/(-8 + 9). Suppose -3*k = -f*k - 93. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 260589.\nAnswer: 3, 7, 12409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4242, -8478, -12714?\n\"Answer: -4236*x - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2736) - ((-1*sqrt(2736))**2 + sqrt(2736))) + sqrt(152)\/(2*sqrt(8)) + 4 + 3.\nAnswer: -2729 + sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 89074 divided by -1\nAnswer: -89074","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + 4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6092 - -20562. Suppose -5*r = 3*f - z, 0 = r + 2*f - f - 2892. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 35 + -8 + 171*(-25)\/(-225).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**1*t)**(-4\/27)*t*((t**6\/t)\/t)\/t*t**(-1\/4)*(t*t**(-5)*t**(1\/7)*t*t)**(9\/2) assuming t is positive.\nAnswer: t**(-3595\/756)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 529070467 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 4*w + 5 = -10, 5*w - 16 = 4*r. Let c(v) = -1 - r - 7*v - 25*v - 7*v. What is the units digit of c(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x - 160 = -72*x + 198 - 46 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 5*t - 17 = 0, -9*a = 2*t - 21 + 2. Let o be (4\/6)\/((-10)\/(-6)). What is the closest to o in -2\/11, a, -4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2632? (a) -1 (b) -101 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/4 + 19964\/16 + -4. Let i = w - 872. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - 4\/8)*-4. Suppose -2*l - 32 = -x*m - 4*l, m + 4*l = 19. What are the prime factors of m?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - 0) + (-2)\/(-1). Suppose 3*v - 42 = -2*z, 5*v = -0*z - q*z + 42. Calculate the remainder when 83 is divided by z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 217167, 1737517, 5864243, 13900533, 27149575, 46914557, 74498667, 111205093?\nAnswer: 158337023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2 + 2*t - 15*t + 7*t. Let j be g(-1). What are the prime factors of (16\/6)\/(j\/222)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1014*q**3 - 2962*q**3 + 1049*q**3.\nAnswer: -2927*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 7\/2*32\/28\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1009*q**2 + 0*q + 30*q**2 + 1101*q**2 + 0*q.\nAnswer: 2140*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -6*w**2 + 154*w - 945. Determine a(16).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - (-2 + (2 - 3))) + (-152 - (-34 - 133)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h**2 + 2*h - 3. Let y be s(6). Let u = -38 + y. List the prime factors of u.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 2363 = -2*j + j, 4*j = 5*o - 11811. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3902 + -171703\/44. Find the common denominator of p and -69\/28.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -857*j**4 + 5*j**3 - 3*j**2 + 29358?\nAnswer: -3428*j**3 + 15*j**2 - 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 348 + -2.2723\nAnswer: 345.7277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = y - 5*g, 4*y + 3*g + g = 20. What is the closest to y in -0.4, -0.3, -0.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4\/9*j + 2\/9*j**4 - 4\/9*j**3 - 2\/9*j**2 + 0 = 0. Calculate j.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9 - 2 - (0 - 0). Suppose -500*k + 97 = -496*k - 5*q, -k + 13 = -5*q. What is the greatest common divisor of k and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/(c*c**(-2\/5))*c*c**(-5)*c*c*(c*c**(2\/15))**(-2\/13) assuming c is positive.\nAnswer: c**(-346\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-s - 4 + 4)*(-11 + 29 + 13) as k*s + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of 0*r**2 + 1 - 2\/3*r**3 + r. Let n be 32\/(-4) - (-15 + 4). Let l(y) = y**2 - 1. Give n*l(j) + 2*f(j).\nAnswer: -j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of -13*q**5\/60 - 2*q**2 + 3*q. Let v(j) be the first derivative of k(j). Let r(c) = 20*c + 17*c - 35*c. Give v(r(d)).\nAnswer: -52*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 + -12.98. Sort l, 0, -4.\nAnswer: -4, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 52\/(-72) + (-1)\/(-2). Let s = 1387 + -1384. Let d be ((-14)\/16 + 1)*1. Which is the third biggest value? (a) s (b) d (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2198\/9 - -244. Which is the closest to 0? (a) -2 (b) q (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -2*x**2 + 29*x + 31. Let g be r(15). Suppose -g = 12*q - 52. What is the second smallest value in -1, -0.3, -2, q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (130011\/2114)\/((-246)\/(-24)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, x: 2, u: 2, p: 2, t: 1, s: 1}. Give prob of picking 1 s, 1 y, and 2 u.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/(-6))\/(36\/216). Suppose -3*f + k*c + 52 = 0, -3*f + 3 = 2*c - 65. Calculate the highest common divisor of 70 and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -636 - 24a85?\nAnswer: -254bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (73 + 7*b - 73)*(28 + 8 + 3*b**2 - 51).\nAnswer: 21*b**3 - 105*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1685 (base 11) to base 12.\nAnswer: -12b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, z: 1, w: 1}. Give prob of sequence zwn.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(510)\/(-1*sqrt(640)))\/((sqrt(6)*-2)\/sqrt(2) - sqrt(6)\/sqrt(2)*-5) + -3)**2*5 + 3.\nAnswer: 5*sqrt(17)\/4 + 28885\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - -275?\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3167 - -403. What is h rounded to the nearest 100?\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -11 - 26?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of v**7\/2520 - v**6\/240 - v**5\/30 - 3*v**2. Let h(y) be the third derivative of a(y). Is 4 a factor of h(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 191*u - 89. Let p(y) = -352*y + 177. What is 11*f(a) + 6*p(a)?\nAnswer: -11*a + 83","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5604 + 10175. What are the prime factors of y?\nAnswer: 7, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 2*h**3\/3 - 60*h**2 + 46*h + 3560\/3 = 0.\nAnswer: -4, 5, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)\/(sqrt(9) + sqrt(225)) - (-5 + sqrt(176)))**2.\nAnswer: -115*sqrt(11)\/3 + 6719\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 1. Let r(h) = -9*h + 32. Let t(i) = a(i) + r(i). Differentiate t(g) with respect to g.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 868505122?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 5*f**2 + 14*f - 7. Let r(u) = 4*u**2 + 17*u - 6. What is -6*r(n) + 5*y(n)?\nAnswer: n**2 - 32*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 41\/11, -2, 0.134, 3 in descending order.\nAnswer: 41\/11, 3, 0.134, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4 (b) 40 (c) 0 (d) 1 (e) 1\/3 (f) 0.738\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1752824 to the power of 1\/3, to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 64, 91, 158, 283, 484, 779, 1186?\n\"Answer: 3*h**3 + 2*h**2 + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 956501?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 319 * -28458\nAnswer: -9078102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 6*w**3 - w + 1. Suppose 0 = -4*b + 4*j + 2 + 18, -3*b + 15 = 3*j. Suppose 3*g - b = -2*g. Give c(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of -d**6\/120 - 5*d**4\/24 - 2*d**3 - 14*d**2. Does 18 divide p(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23.09 - 18057.477.\nAnswer: -18080.567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14403 - 14332. Calculate the remainder when 453 is divided by m.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.13 (b) -0.3 (c) 0.4 (d) 1 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 5*r**2 + 11*r + 5. Let c(m) = m**2 + m - 1. Let x(w) = 3*c(w) - d(w). Factor x(n).\nAnswer: -2*(n + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22 - (-52864)\/(-2301)) + (23 - -22).\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**3 - 412*g**2 - 852*g + 1260.\nAnswer: 4*(g - 105)*(g - 1)*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of q**5\/90 + 51*q**4 + 93636*q**3 + 4971*q**2. Factor k(a).\nAnswer: 2*(a + 918)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 14*v**2 - 17. Is h(8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 27 = -3*u, -19 = 7*u - 5*h + 46 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 154*k - 147*k + 49 = 0 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14280189?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 5)*(-2*s**3 + 5*s**3 + s**3) + 75*s**2 - 75*s**2 - s**3 + 9.\nAnswer: -9*s**3 + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -675 = -149*c + 52*c + 4. Sort -12, c, -7, 5, 1 in descending order.\nAnswer: c, 5, 1, -7, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 + 12*p**2 + 9*p + 110. Determine l(-12).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 0 = 6. Let i be ((-12)\/(-10))\/(q\/(-20)). Let z be 2 + -4 - 2*-1. Put z, i, -2 in decreasing order.\nAnswer: i, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*f - 409*t + 404*t - 5, -5 = -f + 2*t for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 31 + 29 = 0. Let y(c) = c + 2. Let m be y(-1). Calculate the smallest common multiple of f and (-15)\/(-6) - m\/2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45059673 a multiple of 1887?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/2)\/((-3)\/(18\/16))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -165 (base 7) to base 3.\nAnswer: -10120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 - 2504*p + 71866. Calculate x(29).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -323*z - 13*c - 221 = -328*z, 3*z + 93 - 8 = -5*c for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyymmmyy. What is prob of sequence ym?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 5*n - 465, 0 = 52*l - 54*l - 10. Calculate the least common multiple of n and 24.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15942.\nAnswer: 2, 3, 2657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -39*d. Let s(z) = -z. Let x be s(-3). Suppose -2 - x = 5*j. What is the common denominator of y(j) and 47\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - -1. Let c(a) = 7*a**2 - a**i - 5 - 3*a**2 + 7*a - 3*a. Calculate c(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 AM and 11:53 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6428069 divided by -6.\nAnswer: -6428069\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dz when two letters picked without replacement from {z: 2, d: 1, v: 5, w: 1, q: 1}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b6 - -51c?\nAnswer: 5d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 107807971 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-7)\/84)\/(-1))\/(2\/(-20)).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 76817, 153376, 229959, 306578, 383245?\n\"Answer: 2*k**3 + 76545*k + 270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b + 2 + 17*b - 2.\nAnswer: 17*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnpp when four letters picked without replacement from ppnnpnppppnppnppnnp?\nAnswer: 77\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 147 * -17995.7.\nAnswer: -2645367.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (24\/(-16))\/(10\/(140\/(-3)))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + -1.9. Let t = -338 + 341. Which is the closest to i? (a) t (b) -1\/2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -285 and -0.031.\nAnswer: -285.031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from adoddavyoaqqdqdaoa. Give prob of sequence av.\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -29*s + 183. Calculate o(7).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151 is divided by 78?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1665, -3396, -5125, -6852, -8577, -10300?\nAnswer: -12021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -604*t + 613*t + 9 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + u)*(3 - 6 + 2) - 2*u + 4*u - 3*u + (-3*u + 3*u + u)*(5 - 4 - 2) to g + v*u and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 - 14*m**2 - 611*m - 3840. Calculate b(-7).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 93636457 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -0.34 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3161311?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3907*n - 18715*n + 868*n - 17185*n + 709*n.\nAnswer: -30416*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 80359, 160718, 241077, 321436?\n\"Answer: 80359*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 106 + -326?\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d - 2*d - 2*d)*(2*d**2 + 2*d**2 - 6*d**2) - 3 + d**3 + 3 + (-6*d**3 + 3*d - 3*d)*(1 + 4 - 3)*(-11 + 9 + 7).\nAnswer: -57*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1386 - 1324.1. Let q = 62 - b. Let w = -73\/468 - 11\/36. Is w > q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r - 7*r = 6. Suppose -r*k + 0*k + 286 = 0. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-11) - 96\/(-44). Which is the third smallest value? (a) f (b) 9\/2 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/12)\/((-3)\/36)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -223.231 - -223.3. What is the fourth smallest value in -2, 0.2, a, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1809915 is divided by 603303?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -152 (b) 4 (c) -1\/8 (d) -2\/9 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 0.05. Which is the nearest to -0.3? (a) -3 (b) y (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = 10, -2*x - 2*x = -0*t - 5*t + 17 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 552.3 rounded to the nearest ten?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -86 divided by -20.\nAnswer: 43\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2862 + 2973. Is 3 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(2)*-2*4)**2.\nAnswer: 2048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 73*l + 5 + 3 + 7 + 4 wrt l?\nAnswer: 73","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16312, 18785, 21258, 23731, 26204, 28677?\nAnswer: 31150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/(-8)*(-852 - -876)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -11, 12, 55, 118, 201, 304, 427?\n\"Answer: 10*c**2 - 7*c - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-132)\/(-36))\/((50\/(-26) - 99\/1287)\/6).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -260 + -1322?\nAnswer: -1602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0.12083861, -2 in decreasing order.\nAnswer: 0.12083861, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2417174 to the power of 1\/2, to the nearest integer?\nAnswer: 1555","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 + 11. Let s = 323 - 203. Suppose 5*w = j*w + s. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*j = 5*j - 92 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00035887 to 6 decimal places.\nAnswer: 0.000359","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 138239460?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -469 + 228?\nAnswer: -241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -75198 times -55\nAnswer: 4135890","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 4232?\nAnswer: -4232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003189776 to 5 dps.\nAnswer: 0.00319","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(4\/(-2))*2442*(-119)\/(-15708).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 - 10*t**2 - 239*t + 3117. What is a(13)?\nAnswer: 517","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**3 - 253956*j**2 + 52697439*j.\nAnswer: -3*j*(j - 207)*(j + 84859)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) -0.3 (c) -32 (d) 199 (e) -4 (f) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1230 (base 4) to base 9\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-21)\/6 - -4)*(4 + -12). Let a = 0.29 - -0.01. What is the fourth biggest value in -2, 3\/4, a, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(2*(-2)\/4). Let w(i) = -3*i**3 + 5*i**2 - 8*i - 5. Let k(g) = -5*g**3 + 10*g**2 - 16*g - 11. Let l(s) = t*k(s) + 7*w(s). Calculate l(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + -5. Suppose -k*g = g - 956. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 3) to base 7\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 240, 145, 50, -45, -140, -235?\nAnswer: -330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = g - 1, 5*f + 7*g = 2*g + 5. Suppose f = -7*v + 24754 - 7541. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 14. Suppose i + 14 = 5*z. Solve -z*o = -9 + 34 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3914988, 3914978, 3914962, 3914940, 3914912, 3914878?\nAnswer: 3914838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -84, 0.1, 2\/87, 3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + i + 192, -2*v - 3*i = -98 - 102. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 873\/(-4)*(-128)\/48. Let k = m + -343. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 4*a = 5*a + 61, 3*a - 9 = 0. Let p = r - -57. List the prime factors of p.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/66 and 46.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + d + 0 = -3, -5*n + 3 = -2*d for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 254403391.\nAnswer: 11, 23, 31, 163, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 648\/5 or 131?\nAnswer: 131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 x when three letters picked without replacement from {x: 6, v: 2, r: 4}?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 10*z**2 + 2011*z + 26410. Determine r(-187).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.86573 rounded to one decimal place?\nAnswer: 38.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1444 and 9424?\nAnswer: 179056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2874c + -28?\nAnswer: 28724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65665125 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -7646 != -8150?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 2364?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*f = -25*f + 376. Suppose -p + 136 + f = 0. Let o = p - 156. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pbbmppx. What is prob of sequence bpbx?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*h = -12535 - 13689. Is h not equal to -1192?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 - (-387)\/15)*(-12 - 3). What are the prime factors of (-2 - -44)\/6 + -5 - c?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101599712 plus 24.76905?\nAnswer: 101599736.76905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*t - 0. Let w = 80 + -78. What are the prime factors of t - -2 - (-36)\/w?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of -t**7\/5040 + t**5\/15 - 5*t**2. Let d(q) be the third derivative of b(q). Let h(m) = -8*m. Determine h(d(w)).\nAnswer: 8*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 + -4. Let o be (-40)\/32 - 1\/(-4). Let g be o - (8\/(-2) + 0). Solve 4*k = g*k + 4*u - 7, -5*u - v = -4*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -191\/2 or -97?\nAnswer: -191\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a kilogram in grams?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2243561042, -2243561043, -2243561044, -2243561045, -2243561046, -2243561047?\n\"Answer: -v - 2243561041","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 4*g - 5591, -2*u + 5*g = -1286 - 990. What is the remainder when u is divided by 369?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 319 is divided by 40?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1552791552 divided by 194098944?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 8 = -14*z + 13*z, -2*a = -6*z - 25*z + 95 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 4. Suppose -y - 17 = -g*z + 4*y, -z + 2*y = -7. Let m(v) = v**3 + 3*v**2 + 2*v + 2. Let k be m(-3). Put -2, k, z in descending order.\nAnswer: z, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-72)\/(-16))\/(144\/(-120)*5).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2041 is divided by 678?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 75 + -5?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5887?\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = p, 1058*p - 1059*p = -5*g + 13. What is the closest to -2\/19 in g, -14.3, 0.3, 0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 164 + -283. Let a = 568 - u. List the prime factors of a.\nAnswer: 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -219 + 213 - 2*c - c + 3*c + 17*c**2 in the form k + v*c + u*c**2 and give k.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19846.6476 - 19842. Let p = w + -0.0456. Let r = p - 4.7. What is r rounded to two decimal places?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + (-2 + sqrt(11))*5 + -1.\nAnswer: -11 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*k - 8 = -20*k + 72 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/150)\/(95\/(-20) + 5). Which is the nearest to 2? (a) -0.4 (b) 0 (c) 1\/4 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 550726693 to the power of 1\/6, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + 3*c - 32. Let k = -4 + c. Let u(w) = -w**3 + w + 21. What is the remainder when u(k) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (611 - 661) + 107 + -4?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.29 + 24.71. Let s = i - 24. Let h = -1066 + 1067. Which is the nearest to h? (a) 2\/9 (b) -5\/2 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mj when two letters picked without replacement from {g: 2, u: 2, j: 1, m: 1, f: 2}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -74149714 - -1725781\nAnswer: -72423933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sdjh when four letters picked without replacement from {j: 2, s: 2, z: 1, k: 3, d: 2, h: 4}?\nAnswer: 4\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (65 - (-665012)\/(-4433)) + 85?\nAnswer: -2\/143","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w = 3*w - 2*y - 191, -69 = w - 2*y. Let t = w + 100. Let v(u) = -u**3 + 11*u**2 + 2*u - 10. What is the remainder when t is divided by v(11)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**3 - 41620*h**2 + 3233635*h - 6300750.\nAnswer: -5*(h - 75)*(h - 2)*(h + 8401)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 - 5*z**2 - z - 8. Let x(s) = 8 + s**2 - 3*s + 15*s + s**2 + 3. What is the remainder when x(-8) is divided by u(6)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -134 (base 7) in base 15?\nAnswer: -4e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence juuu when four letters picked without replacement from {u: 4, j: 2, b: 8}.\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 - 6*i - 2. Let k be r(-5). Let h(d) = -d**3 + 11*d**2 - 9*d - 11. Let z be h(10). Put z, k, 5 in decreasing order.\nAnswer: 5, k, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 - 6*u - 4. Suppose 0 = 3*x - 6 + 18. Let n be j(x). Let p = n + -2. Solve s = -z - 1 - 4, -p*s + 2 = -z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -55 + 39. Let m = 6 - i. List the prime factors of m.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 178*a = 2*a - 3102 - 18018 for a.\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 757.2245 minutes in milliseconds?\nAnswer: 45433470","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/(-20) - 13731\/45. Let w = 305 + n. Suppose 0 = c + 1. Which is smaller: w or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16157.\nAnswer: 107, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggoooo. What is prob of sequence oog?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 117 and 9.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 166\/1743 - (-1 - (-18782)\/18900) and 67\/1650?\nAnswer: 14850","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, -4, -590, -10.\nAnswer: -590, -10, -4, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**2\/h**(2\/5))**(-15))**(-3\/10) assuming h is positive.\nAnswer: h**(36\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28835?\nAnswer: 5, 73, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44503282?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 8*f**2. Let j(i) be the third derivative of -i**4\/24 + 8*i**2. Give h(j(g)).\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 97973.71g in kilograms?\nAnswer: 97.97371","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of -f**4\/4 - 5*f**3\/3 - 4*f**2 - 4*f - 12. Factor c(o).\nAnswer: -(o + 1)*(o + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -517 - -519. What is the units digit of 147*((-8 - -7) + n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/119144 and 101\/1107806.\nAnswer: 1245173944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000651164648 to five dps.\nAnswer: -0.00065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 34 = 4. Let l be 5*(-2)\/n*-3. Solve 5*c - f + 25 = 0, -3*f + 19 = -6*c + l*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5 and -14*(-1 + (-2)\/(-4))?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 4*x**2 - 4*x. Let g(n) = 9*n**2 - 9*n. Let i(c) = -c + 70. Let l be i(14). Let v = -62 + l. Give v*g(u) + 14*s(u).\nAnswer: 2*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/5*(-10)\/(-3)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*q = 53*q - 42. Solve 2*g - 11 = t, 15*g - 11*g = -q*t + 10 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o + 2. Suppose -3*l = -2*x - 2, -x - 4*x + 16 = 3*l. Calculate the smallest common multiple of q(-7) and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.6021 to two decimal places.\nAnswer: 2.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 309 and 508717.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5183584 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) -2\/13 (b) -3 (c) -29\/2 (d) -5 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -4 - 1 + 9*n**3 + 2*n + 3*n + 6*n**2. Let v(g) = 13*g**3 + 9*g**2 + 7*g - 7. Let y(f) = 7*u(f) - 5*v(f). What is the third derivative of y(b) wrt b?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3\/103 - 173\/1133. Sort c, -5, 0.5, -27\/5 in ascending order.\nAnswer: -27\/5, -5, c, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1087?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 a, and 1 q when three letters picked without replacement from rqqa?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 32*u**2 - 4*u - 7. Let v = 78 - 112. Let g = v + 32. Is s(g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 128 in -1\/2, -0.1, 0.4, -13, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -56499 divided by -56499?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.871518m in millimeters?\nAnswer: 6871.518","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -38 + 37. Let w be (-24)\/(-4)*i\/(-2). Suppose -w*g + 7*g - 8 = 0. Solve -2*z = -g*x + 4, x - 10 = -4*x - 5*z for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/33 - 13\/(-11). Let i = -1 + k. Suppose 5 = -i*s + 5*s. What is the remainder when s is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 44538, 89079, 133620, 178161, 222702?\n\"Answer: 44541*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*g**3 - 4*g**2 + 3*g**2 + 3*g - 4*g**3 to the form y*g + h + u*g**3 + b*g**2 and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/((-3 - 1) + 3). Determine h, given that 0 - 2\/3*h**2 - 1\/3*h**q + 0*h**3 + 1\/3*h + 2\/3*h**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 21657*v + 21657*v + 28*v**2)*(v**2 - 2 + 2)*(2*v - v + v).\nAnswer: 56*v**5 + 8*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -3*y - 10. Let j(d) = -6*d - 21. Let b(f) = -6*j(f) + 13*r(f). Differentiate b(q) with respect to q.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*j**3 + 2 - 2 + 0.\nAnswer: -11*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 281.83 rounded to the nearest 10?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -15*h**3 - 5*h**2 + 5. Let j(m) be the second derivative of 7*m**5\/10 + m**4\/3 - 2*m**2 + 7*m - 12. Calculate 5*j(t) + 4*v(t).\nAnswer: 10*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -68 - -83. Solve 5*r = 2*t + 3*t - a, 6 = -2*r + t for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 7*i - 5*s = 73, -5*i + 4*s + 80 = 0. Suppose 0 = -i*m + 8*m. Let u = -246 - -2709\/11. Is u > m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -115.96 to the nearest 10.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 8560000 to the nearest 100000.\nAnswer: 8600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express b**3 - 107732*b - 2 - 17 + 107727*b + 3*b**2 as f*b + j + v*b**3 + r*b**2 and give f.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of 0*i**4 - 1\/4*i**5 + 0*i**3 + 0*i - 13\/105*i**7 + 0*i**6 + 0 + 14*i**2. Find the third derivative of o(q) wrt q.\nAnswer: -624*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 5*d - 7 = -21, 0 = 2*r - 2*d - 8. Suppose 0*i + r*i = 9. Suppose w + 0 = i. Which is the smallest value? (a) -0.4 (b) 0.2 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2333 (base 5) to base 3.\nAnswer: 110201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 times -0.11905?\nAnswer: 6.4287","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 3*y + 31, -4*y - 63 - 21 = -4*m. Suppose 277 = m*z + 37. Solve 9*n - z = -5*v + 4*n, 0 = 5*v + n + 1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(6*((-22)\/40)\/11).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - q - 32, 0*n - 6 = -2*n + 3*q. Let g = n + -7. Suppose r - 250 = -h - h, -g*r - 8 = 0. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/90)\/(34\/(-85)*(-10)\/24)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 28*((-15)\/20 - 0). Let p be k\/(-9) + (-4)\/(-6). Solve -2 + p = -j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -0*l - 3*l + 28, 4*l + 2*z = 40. Is (-54)\/(-14)*l\/6*7 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -4*-6*-4*sqrt(3)*2*1 + -4 + -3.\nAnswer: -192*sqrt(3) - 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o**2 + 129*o + 2624. Let c be y(-40). What is the highest common divisor of c and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/9 and -85\/235091268.\nAnswer: 235091268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 207780 divided by 3463?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 113.0822 + -112.6. Let u = -0.48 + w. What is u rounded to 4 dps?\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*j**3*k**2*q + 53*j**3*k*q**2 + j*k**2*q**2 + 35*q wrt q.\nAnswer: 106*j**3*k + 2*j*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 11, 63 in descending order.\nAnswer: 63, 11, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 10 = 0, 2*j - 3*j = 2*l - 13552. Let t = j + -20962. Round t to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(16)\/sqrt(4) + sqrt(24)\/(sqrt(24)\/sqrt(4)))\/(sqrt(32) - (sqrt(3200) + 2*sqrt(3200)) - (sqrt(288)*-3 - sqrt(32))) + 5)**2.\nAnswer: 5*sqrt(2)\/19 + 18051\/722","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 1181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 + 299 = 2*s. Let y = s - 187. Solve 7*l = y*l - 12 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a - 12. Calculate y(0).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3093, 12386, 27875, 49560, 77441, 111518?\nAnswer: 151791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -23 - -1b1?\nAnswer: 18d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0115325877 rounded to three decimal places?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 8:19 PM?\nAnswer: 7:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 968 and 648?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -10*a**3 - 2*a**2 - 2*a - 1. Let u be k(-1). Suppose 24 = 3*m - u. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + -59?\nAnswer: -5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 484678 and 350678.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -4, -2, -5, 0.2, -7983.499?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3000, 3\/2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1630 - -1606 - (1 + 10).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 117 and 23816?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5 + 1)\/16 + (-598)\/8. Let u = -31 - f. Is u a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**2 + 137846*v + 4750379929 = 0. Calculate v.\nAnswer: -68923","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from boteoxq. What is prob of sequence ex?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-360)*15*28\/2*-1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 51 and 7276.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 2 + (2 - 2 + 8)*(3 + 0 + 0))*(-34*o**2 + 1327 - 1327).\nAnswer: -782*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 130815.\nAnswer: 261630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 29, 118, 261, 458, 709?\n\"Answer: 27*x**2 + 8*x - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 308?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 818 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-17)\/(-51) + 11\/(-51). Let f = -0.7 + 1. Which is the closest to 1\/2? (a) t (b) 0 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 90852\/8093 or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 609488835?\nAnswer: 3, 5, 40632589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -0.3, 1, -0.1, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.01, 1.1, -2\/23, 68, 3, 164, -1?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-246)\/(-1476)*2*66777?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-26))\/(60\/20)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 4*n + 0*n = -8, -16 = -4*u + 2*n. Let j be (12\/(-64))\/((-15)\/u + 3). Factor h**2 - j*h**3 + 0 - h.\nAnswer: -h*(h - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -71267.265 rounded to the nearest ten?\nAnswer: -71270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.07980794 to one dp.\nAnswer: 13.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -16, -3, 19, 2, -42\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 - 7*l**2 + 83*l - 118. Determine v(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 33 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**13\/(m**(-10)*m))**(-1\/16))**(-45) assuming m is positive.\nAnswer: m**(495\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of 3*b**5\/40 - 19*b**3\/6 - 22*b. Let j(v) be the second derivative of p(v). Let i(c) = -c. Give i(j(r)).\nAnswer: -9*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 - 3*q**2 + q + 1. Let h be n(2). Let r = h - -5. Find the second derivative of v + r*v - v - 3*v - v**3 wrt v.\nAnswer: -6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 1.4. Let w = -1 - c. Round w to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.5 (b) -11\/51 (c) 0.4 (d) -20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19 + -6. List the prime factors of w\/2 + (-2)\/4.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*l*u*y**3 + l*u*y - 5*l*y**2 - 4621073*u*y**3 - 1755838*u*y**2 + u wrt y.\nAnswer: 30*l*u - 27726438*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -3*a**3 + 3*a**2 + 3*a - 3. Let b(v) = -7*v**3 + 7*v**2 + 7*v - 7. Determine -4*b(m) + 9*q(m).\nAnswer: m**3 - m**2 - m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1307896.648 + 1308088.6479754. Let d = q + -192. Round d to 5 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -5*z + 0*z**2 - 4 + 0*z**2 + z**2. Let j = -1660 - -1665. Determine u(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 550 and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 46, 86, 138, 208, 302, 426?\nAnswer: 586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6800 and 1100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 39 and 1737?\nAnswer: 22581","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252) + 2 + sqrt(252))**2 + -4 + sqrt(7) + 0.\nAnswer: 49*sqrt(7) + 1008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(3) + sqrt(30)\/sqrt(10)*-5 + sqrt(3) - sqrt(3)).\nAnswer: -4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, 29, 21, 5.\nAnswer: 5, 21, 29, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 47817*q - 157006.\nAnswer: 47817","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-7 + (-261)\/(-36))\/((-2)\/9436). Let h = s + 1180. Factor -2*j + h*j**2 + 0.\nAnswer: j*(j - 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 575 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2810 - 5751703.\nAnswer: -5748893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1012122 + 112?\nAnswer: -1012010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9079341 millennia in years?\nAnswer: 907.9341","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 times 3?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -32, -37, -26, 1, 44?\n\"Answer: 8*w**2 - 29*w - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -36831219*a**5 - 130465105*a?\nAnswer: -736624380*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 times -157.1853?\nAnswer: 5344.3002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 2*sqrt(1300) + 2)**2.\nAnswer: 200*sqrt(13) + 5225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a millimeter in micrometers?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + (2 - 5) - -4. Solve j*x + 13 = w, 0 = -5*w + 5*x + 24 + 21 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.42 + -1. Let q = -0.08 - s. Suppose 2*y - 5*y = -3. Which is the smallest value? (a) q (b) 0.2 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9135 divided by 9135?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4 - ((-42)\/(-35) + 36\/(-30)). Let s be (-2)\/(-6)*(15 - 14). Let b = 0.34 - -0.06. Sort 1.1, s, z, b in decreasing order.\nAnswer: z, 1.1, b, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3769 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -1\/479, -1\/167?\nAnswer: -1\/167","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 190?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -107689, -215380, -323071, -430762, -538453?\nAnswer: -646144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.09 - -0.09. Let n = c - 4. Let p = n - -6. Sort -2\/15, -1\/10, p.\nAnswer: p, -2\/15, -1\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(2299) - (1 + sqrt(2299)))*1 - sqrt(2299)*-1*4)*-2)**2 + -4.\nAnswer: -8800*sqrt(19) + 3678496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6163 - -6163. What is the closest to o in -3, -7, -65?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 - 8*s**2 - 8*s - 5. Let q be k(9). Let w be 0 - (2\/(-5) - 6\/10). Let b = w + q. Solve 0 = -0*f - 3*f - 3, -4*u = 5*f + b for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 628677093433 and 20?\nAnswer: 628677093413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9*(-4)\/(-270))\/((-6)\/27)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 43 = -a + 3*a, 2*q = 10. What are the prime factors of 74\/a + 6\/(-21)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-132770)\/(-10153) + (-7)\/(42\/72).\nAnswer: 14\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/233 and -1390\/367 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-1 + 12 + -5) - 7?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(0 + 1\/179). Suppose 8 = -r - n. What is r rounded to the nearest 10?\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - -6)\/((-3)\/64). Let n = 133 + i. Solve -n*v + 5*k = 0, 3*v - 4*v - k - 10 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 2 = 3*y, 18*i - 16*i - 18 = -5*y. What is the tens digit of 810 - y\/(-6)*3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/24 and 9?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llz when three letters picked without replacement from {l: 4, t: 2, z: 6}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 8, f: 3}. What is prob of sequence nf?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.1 - -3. Let k = 19.25 - 21. Let i = 0.25 - k. What is the third biggest value in i, d, 0.1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13\/2 in 3\/5, -4, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1033.6835*4.\nAnswer: -4134.734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/(-18) + (-5)\/6)\/4. Let p = 4.08 + -0.08. Let q = -3.6 + p. Which is the third smallest value? (a) -2\/11 (b) q (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -50 (base 7) to base 10\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 252? (a) -1 (b) 1 (c) 23\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 304\/21? (a) 3 (b) -2\/13 (c) -36\/7 (d) 0 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2*g - 16. What is d(6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -154*m**3 + 3*m**2 + 304*m**3 - 156*m**3 - 3*m**2.\nAnswer: -6*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 103142 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*o - 4*o - 7*o - 8*o to the form z*o + a and give z.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 9*l + 14*l + 25 = 0, -5*i = -l - 5 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2\/4 - 24344137*r\/2 + 592637006274769\/4.\nAnswer: (r - 24344137)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (10\/4)\/(64\/13952). Which is greater: 544 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 2*z - 9 = 0, 6*u - 9*u - 7*z - 12 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -34, -0.2, -1\/8, -6, 8, -1.7?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + 60\/88*2. Let q be 10 - 376\/40 - (-8)\/(-5). Is q less than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 - 25*j + 75. Calculate a(18).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 272 (base 9) in base 15?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100100020 + 10111?\nAnswer: -100012202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -70, -147, -224?\nAnswer: -301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 7 + 9)*(-4*x - 4*x + 2*x)*(-1 - 1 + 4).\nAnswer: -132*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/4 + (-54)\/(-280). Let c be 0\/((-8)\/12*-3). Which is smaller: b or c?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -220 + 262 + (-4 + 2 - -10) - 13.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((3\/(-30))\/1)\/(336\/5880).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 283 divide 1374464?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z + 1. Let q be d(4). Let g be (-2)\/q*10\/22. Does g = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-three quarters of a litre?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*3*(3 + sqrt(343)*1 + (sqrt(343) - (-1 + sqrt(343) + -3))) + -5 + -5 + 4)**2.\nAnswer: 1134*sqrt(7) + 3816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 3*r + 6 = 0, 0*t + 2*t + 2*r = 20. Suppose 5*g - 13 = h + t, 5*h + 3*g - 45 = 0. Let s = -4 + h. Solve -s - 1 = -b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -28801 - -28806. Let t(o) = 6*o + o - 35 + o. Let c be t(v). Solve q - 2*i - 2 - 1 = 0, -i - c = 3*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -335*y**3 + 10*y**2 + 368*y**3 - 10*y**2.\nAnswer: 33*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001724854 rounded to four decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2775244752?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 323 a factor of 508402?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-66)\/10 + 14\/35*-1. Sort 0.1, -1\/3, 4, y in descending order.\nAnswer: 4, 0.1, -1\/3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 6*x + 2*x = 4, -22 = -5*v - x. Suppose -70*i + 2*f = -75*i + 92, 2*i - 4*f - 32 = 0. Calculate the remainder when i is divided by v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*3 - 15857\/(-6751). Which is bigger: g or -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 to the power of 1\/5, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -5*r**3 - 13*r**2 + 7*r + 16. Give d(-4).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -28*n**5 - 279978*n**3 - 24051461*n**2.\nAnswer: -1680*n**2 - 1679868","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -38 + 51. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-9))\/(8\/3)*(51300\/3456)\/475?\nAnswer: 1\/128","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 1 + 2 - 2 - 1 + 5 + (-3 - 1 + 2)*(-2 + 2 - 1) - 1 - 1 + 1)*(-1 + 1 + 2*r) + (-2 + 0 + 7)*(-3*r + 4*r - 3*r) in the form n + h*r and give h.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 2*f - 2*m, 2*f - 16 = -f + 2*m. Suppose f*y + 14 = -26. Let g be (6\/(-5))\/(3\/y). Solve 2*u + 0*u - g = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 331366, 331377, 331388, 331399, 331410?\nAnswer: 331421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*m**4 + 295836*m**3 + 739624*m**2 + 591708*m + 147928 = 0. Calculate m.\nAnswer: -1, -1\/2, 36982","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -2*i - r - 8, -4*i - 11*r + 19 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4*(3\/(-4) - 1). Let u be 392\/48 + 2\/(-12). Suppose u = 3*d + 2*h, 5*d - 4*h - 2 = 2*d. Solve f + 4*t = 0, -f + 5*t - n = d for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8370 by 178.\nAnswer: -4185\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 12*r**3 + r**2 - 1. Let t be i(1). Let k be ((-15)\/t)\/((-55)\/200). Let l = k + -772\/165. Which is the smallest value? (a) 2 (b) l (c) -6\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 314196 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1d7 + -3c?\nAnswer: -213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21994\/3091 + 58\/281. Let a = v + 4658\/671. What is the closest to 0 in a, -0.2, 0.1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99180 is divided by 285?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 4 + 31*o**3 - 7 - 2*o + 6*o. Is y(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-12 + 5)\/21)\/(2\/(-48)). Suppose -t*a - 5*a = -442. What is the remainder when 120 is divided by a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -146 + 145.5. What is the second smallest value in 0.3, i, -0.4, -3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 340226.\nAnswer: 2, 67, 2539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a millennium in months?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(605) - -2*sqrt(605)))**2 + sqrt(605) + -5.\nAnswer: -253*sqrt(5) + 5456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of -n**6\/140 - n**5\/35 - n**4\/21 + n**3 + 1. Let c(r) be the third derivative of z(r). Factor c(w).\nAnswer: -2*(3*w + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 604\/(-36)) + (-44)\/(-198).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 43782*d - 5691593. What is c(130)?\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 - 16*z**2 - 27*z + 16. Let u be c(-14). Is u\/9 + (-5)\/(315\/(-7294)) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m + 16. Let s(u) = 3*u - 31. Let d(f) = 2*s(f) + 5*w(f). Let r be d(-7). Which is smaller: r or 12?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.81351 to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 390228773\/34740 - 91245\/772. Let b = k + -11114. Find the common denominator of -66\/35 and b.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by -3.\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -25*d**3 - 3*d**2 - 18*d. Let b(u) = 49*u**3 + 5*u**2 + 35*u. Let q(x) = -3*b(x) - 5*t(x). Find the second derivative of q(z) wrt z.\nAnswer: -132*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - -3cd1b6?\nAnswer: 3cd1b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00008414 to 5 decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1150 + 2455. Suppose -4*a = 5*h - 1120 + 58, -5*a + r = -5*h. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + q = 247, 12*i - 5*q + 615 = 17*i. What is the first derivative of -18 - 8*d + 13*d + i wrt d?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of -5*h**3\/6 + h**2\/2 + h. Let u be r(1). Let o(s) = -s**3 - 3*s**2 + s - 1. What are the prime factors of o(u)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 - 13*w**2 + 2*w - 6. Let k be o(13). Suppose 4*l - 33 = -3*n, -4*n = 5*l - 23 - k. Solve -p - n = -2*u, 2*u - 3*p = -0*u + 1 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3645 - 2547. Let t = w + -478. List the prime factors of t.\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-207)\/(-92))\/(6\/(-4)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1970 and 286438?\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -28135 + 43450. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1620, -3063, -4158, -4731, -4608, -3615, -1578?\n\"Answer: 29*r**3 - 1646*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-3)*(1\/1)\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xpblppplpbbplxlxll. What is prob of sequence pbp?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 97 - 58. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y + 13. Let n be i(6). Let b(o) = -o**3 + 9*o**2 - 2*o - 4. Is b(n) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2*r**3 - 2*r**2 + 8*r + 4. Let x be n(6). Suppose 13*d - x = 11*d. What are the prime factors of d?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -64 + 69. Let v(f) = -2*f - 5. Let p be v(4). Calculate the remainder when (p\/(-4))\/((-1)\/(-4)) is divided by h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 5*m + 285. Let v = 65 + m. Suppose 2*j + 4386 = 4*c, v*j + 1760 = 5*c - 3720. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 5*p = 4*g - 31, -2*g = -2*p - 2. Let x(f) = -f**2 - 4*f. Let c be x(-3). Which is bigger: c or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.14 * -162\nAnswer: 22.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, -16, 71, 260, 5, -4.\nAnswer: -30, -16, -4, 5, 71, 260","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-57)\/36*-41397 - ((-735)\/(-60) + -13).\nAnswer: 2, 13, 2521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v*(v**(-29\/2)\/v)\/v*v*v)*v*v*v*v*v**(-24))\/(v\/v**(6\/23)*v*v*v*v*(v\/(v**(-37\/3)*v))\/v*v) assuming v is positive.\nAnswer: v**(-3253\/138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 259428396 to the nearest integer?\nAnswer: 638","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/(-2) - 6\/42*7. Suppose k + k + 8 = a, 4*a = 4*k + 8. Let z be k\/21 + 33\/(-7). Put 1, z, n in increasing order.\nAnswer: z, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 1108*q + 21036. Calculate k(-19).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -31 - -22. Let p = y - -8.7. Do 1\/5 and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/258 and 17\/81.\nAnswer: 6966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5\/2*q**3 + 65\/4*q**2 + 25\/2*q - 5\/4*q**4 + 0.\nAnswer: -5*q*(q - 5)*(q + 1)*(q + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**4\/3 + 96*f**3 - 792*f**2 + 2304*f - 2268.\nAnswer: -4*(f - 63)*(f - 3)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 + 2*s**2 - 64*s - 37. Give h(7).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (-4 - 0)*(1 - (2 - 2))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*1*sqrt(143))\/(sqrt(121)\/sqrt(99)))**2.\nAnswer: 2925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1\/20 of a tonne?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -196*a + 1098*a = -1344*a - 134760 for a.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 166132046, 166132042, 166132038?\n\"Answer: -4*y + 166132050","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 + -13583?\nAnswer: -13582.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, g: 2, a: 1, c: 2, b: 2}. What is prob of picking 1 b, 1 n, and 2 c?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 + -19. Let z(a) = a + 10. Let i be z(m). Solve -4*y - 3*n - i = 10, -4*n - 16 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 3 - 4*p - 51*p**2 - 51*p**2 - p**3 + 107*p**2. Give f(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5758*p**4 - 25*p + 5?\nAnswer: 69096*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 86 from 0.2.\nAnswer: -85.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/243? (a) 4 (b) 0.1 (c) -3 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10971?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 AM and 4:24 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -84 - -78. Is 4\/c - (-4 + 389\/(-3)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 925, 1852, 2779?\n\"Answer: 927*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 34\/(3 - (-1)\/(-1)). Let t = -29 + z. Let b = 3 - t. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 191431344?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4831, -0.06, 0.3, 4\/7, 4\/3?\nAnswer: -4831","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1941 + -1942. What is the nearest to r in -1\/2, -6\/5, -174?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 + 8*n**2 - 8*n + 6. Suppose 3*p + 15 = 36. Let r be w(p). Which is bigger: -2 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 + 7*q - 5. Let j(i) = 3*i - 12. Let h be j(12). Suppose 10*r = 6*r. Suppose -v + 1 = 3*g, r = 3*v - 8*v + 4*g + h. Determine b(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*r = -15*r + 6. Suppose r*f = 4*f - 2*t + 258, 4*f + 5*t = 521. What are the prime factors of f?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/51*(((-117)\/(-2))\/13 - 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -68092 divided by 34046.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 30*r - 727 = -27*r, -5*n + r + 1811 = 0. List the prime factors of n.\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 + 0)\/((-9 - -9) + -4). Let y(a) be the third derivative of d - 1\/20*a**5 + 0*a**4 + 0*a + 3*a**2 - 1\/6*a**3. Differentiate y(u) with respect to u.\nAnswer: -6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16.73 - -16.33. Which is the nearest to 0.014? (a) -12 (b) s (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-11)*((p\/p**(-4))\/p)\/p*p)\/(p**(2\/45)*p\/(p**(-2\/27)\/p)))**(-2))**28 assuming p is positive.\nAnswer: p**(68936\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 10*k = -45, -3*k + 6 = 353*a - 358*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7503845?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -10*v. Let b(r) be the first derivative of 0*r + 0*r**2 - 16 + 1\/3*r**3. What is c(b(l))?\nAnswer: -10*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -2\/3, -1, 0.2, -5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100110 + -11011100001111?\nAnswer: -11011010101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2186 - 1470. Suppose r = 2*l + 110. List the prime factors of l.\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.439916 meters in kilometers?\nAnswer: 0.008439916","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*n - 148*n**3 - 4*n**2 + 6*n + 335*n**3 + 0*n**2 - 176*n**3 in the form u + k*n**3 + p*n**2 + g*n and give g.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1002409269 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*w**4 - 2*w**4 - w**5 + 0*w**4 + (-2 + 2 + 3*w**2)*(-12*w**2 + 12*w**2 + 10*w**3).\nAnswer: 29*w**5 + w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 j when two letters picked without replacement from crjllelecjleell?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 306*g**2 + 460 + 248*g**2 - 179*g**2 - 460 + 200*g**2.\nAnswer: 575*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/8)\/((-5)\/8)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 9*f**2 + 5*f - 18. Let c(r) = -20*r**2 - 10*r + 41. Let n(z) = -4*c(z) - 9*d(z). What is n(-7)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 55*f - 881. Let r be n(16). Let m = -2 + 1.5. Put 2, r, m, -2\/5 in increasing order.\nAnswer: r, m, -2\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-891)\/(-495)*520\/(-97812)?\nAnswer: -2\/209","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7\/8 + -29\/24. Let i(u) = 4*u + 28. Let o be i(-8). Which is the second smallest value? (a) q (b) o (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + 1)*1 - (sqrt(75) + 0)**2.\nAnswer: -74 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27 + -33. Let b(m) = m**3 + 5*m**2 - 7*m + 3. Calculate b(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.4 - 19.6. Let t = 20.04 + q. Let x = -0.26 + 0.16. Put -5, -3\/4, t, x in decreasing order.\nAnswer: t, x, -3\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 728886?\nAnswer: 2, 3, 29, 59, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21.886 + 0.114. Let o = 471 - 467. What is the biggest value in s, -0.5, o, 3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10157, 1681, -2 in increasing order.\nAnswer: -10157, -2, 1681","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*p + 16412 = 48930. Is p a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1229 + -693. Suppose 11*o - j = 542. What is the lowest common multiple of 8 and o?\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9084152 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2343882 is divided by 23917.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.04, -3.3, -1\/8, -0.13, 0.3, -4, -42?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14343, 2\/35, -27.5 in descending order.\nAnswer: 2\/35, -27.5, -14343","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 80*z**3 + 440*z**2 - 1469*z + 994. Let s(i) = 480*i**3 + 2640*i**2 - 8815*i + 5965. Let g(q) = 35*m(q) - 6*s(q). Suppose g(a) = 0. Calculate a.\nAnswer: -8, 5\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/((c\/c**(-2\/5))\/c)*c)**(-28))**(-7\/10) assuming c is positive.\nAnswer: c**(784\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 + 12*y**2 - y + 14. Let i be k(12). Suppose 7*p + 18 = 2*p - 2*u, 0 = -i*u + 2. List the prime factors of (-305)\/p - (-11)\/(-44).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 230935875 is divided by 2092.\nAnswer: 2087","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 - 1397*h + 487900. What is y(703)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 64838989 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*f - f + 6 - 6 + 14*f**3 wrt f.\nAnswer: 84*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 16\/(-4) + 463 + -3. Suppose 4*z + 4*w - h = 0, -4*w = z - 80 - 19. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2338\/(-501)*(10\/(-28))\/(5\/(-348))\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.0997 + 0.0039. Round p to 2 dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of 7\/2*s**4 + 1 + 8\/7*s - 24\/7*s**2 + 2*s**3. Factor l(o).\nAnswer: 2*(o + 1)*(7*o - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1 and 1179072?\nAnswer: 1179072.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/((-1)\/(-1)) + 64. Suppose 4*d - 84 = r. Let n = d + -34. Solve n + 1 = -o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8085)\/1155)\/(14\/(-78))\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4961? (a) 5\/3 (b) 3\/50 (c) -5 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 - 56\/3. Let v = -627976 + 628173. Which is smaller: v or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 - 13*t**2 + t - 14. Let o be l(13). Let z = -1 + 1. Which is the nearest to z? (a) -5 (b) o (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13484934 to the nearest integer?\nAnswer: 3672","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -21*n - 609. Give l(-34).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 236 (base 7) to base 12\nAnswer: a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -356 + 379. Let c = 0.1669 - -22.6931. Let i = m - c. What is the smallest value in i, 3\/8, 0.4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2 + 4 - w - 1 - 6. Let a(v) = -8*v - 11. Give -2*a(g) + 22*d(g).\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lb when two letters picked without replacement from bbbbbbbbbbbbllbbbb?\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 62090?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 16 - 687*q - 690*q + 1378*q. Let y(p) = 1. Calculate -u(h) + 6*y(h).\nAnswer: -h - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 3 - 2*f**2 - 2*f**3 + 4*f**3 - f**3 - 2*f to the form n*f + d*f**2 + i + b*f**3 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.04*-27.\nAnswer: -1.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*t + 762287 + 278200 = 0. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 5*k**3 - 3300*k**2 + 51235*k + 183540 = 0.\nAnswer: -3, 19, 644","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (6 + -3) - (24 + -29).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 69 - 62. Let o be (0 + -1)*y\/((-35)\/10). Let z = 4 - o. Solve 0 = -3*f - w + 3, z*f - 7 - 8 = -5*w for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 y when three letters picked without replacement from kykkyyyyykyfkyk.\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*i**2 + 2*i**2 - 3*i**2 + (-4 + 2*i + 4)*(-5*i + 5*i + 3*i).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 6, -2*g - 257 = 5*v + 1240. Sort 5, 4, g in descending order.\nAnswer: 5, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*o + 41*o + 12 = w, -5*w - 40 = -5*o for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -n + 4*s, 3*n - 12*s = -14*s + 6. Suppose 2*y = -2*c + 15682, 0 = -3*y + 2*y - n*c + 7841. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1*(113 + 4 + -2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yvyvy. Give prob of picking 1 v and 3 y.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.60460259 rounded to two dps?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -9300, -8403, -7504, -6603?\n\"Answer: r**2 + 894*r - 10195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 2*z - 5. Suppose -z*i + 0*w = -5*w - 5, 0 = 2*i - 4*w + 4. Suppose -2*r - i = -6. Which is bigger: r or -2\/9?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47152, 94322, 141502, 188692, 235892, 283102?\nAnswer: 330322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mjmm when four letters picked without replacement from {m: 3, j: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.3674 - -0.4. What is g rounded to 3 decimal places?\nAnswer: 0.033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60659 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.555 + -2.855. Which is the nearest to n? (a) -0.3 (b) 5 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20465 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 214 divided by 65?\nAnswer: 214\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.079*41.\nAnswer: -3.239","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n, 1 q, and 1 z when four letters picked without replacement from zlzzzqqnzqnzzqz.\nAnswer: 32\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -58, -68, -38, 50, 214, 472?\n\"Answer: 3*t**3 + 2*t**2 - 37*t - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14504192 and 623227?\nAnswer: 159546112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 221 - 153. Suppose 81*w - 85*w + 16 = 0. Calculate the greatest common factor of p and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9516 is divided by 146.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -299 - -899.4. Let h = -602 + j. Which is smaller: h or -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -44 - -43. Sort i, 4, -0.01, 0 in increasing order.\nAnswer: i, -0.01, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*b**4 - 132*b**3 - 804*b**2 - 2144*b - 2112 = 0. What is b?\nAnswer: -11\/2, -4, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, j: 10, g: 2}. Give prob of sequence kgj.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -58.9571 to the nearest integer.\nAnswer: -59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4\/22 - 0\/(-4 - 1)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**8*o**(-4)*(o*o**(-2))\/o**8*(o\/(o\/(o**(-3\/5)*o))*o*o**8\/o)**25 assuming o is positive.\nAnswer: o**205","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 34457, 34453, 34447, 34439?\n\"Answer: -s**2 - s + 34459","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a meter in centimeters?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -16613 + 1?\nAnswer: -16612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12.8*-0.4.\nAnswer: -5.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.1 + -5.1. Sort 4, 5, b in ascending order.\nAnswer: b, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 73, 26, -5, 2223.\nAnswer: -5, 26, 73, 2223","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 60.541 rounded to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 13*z - 36 = 0, 5*z - 112054 + 112054 = u for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -1 - 3 + v + 3 - 4. Let l(j) = -j**2 + 14*j - 9. Let t be l(13). Let m be b(t). Are m and -6 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 4*b + 20, 4*b - 26*m + 10 = -24*m. Let l(a) be the third derivative of -a**6\/120 - a**4\/24 + 2*a**3 - 2*a**2. Give l(b).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of 3865*w**9\/504 - 2*w**5\/15 + 397*w**3\/6 + 2*w**2 + 381*w - 2. Find the third derivative of u(o) wrt o.\nAnswer: 463800*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6092993 rounded to 2 dps?\nAnswer: 0.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 - 48*r**2 + 92*r - 30. Calculate c(46).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/48*1*((-5616)\/18)\/(-12)\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7278?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + -3. Let b be (-1)\/o - (-30)\/9. Suppose 48 = b*k + k - 3*v, v = 3*k - 36. Calculate the lowest common multiple of 14 and k.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4541 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 + 26. Suppose 2*l = -0*s + 4*s + 6, 5*s - 9 = -3*l. Suppose s = t + 4 - 18. What is the smallest common multiple of t and d?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1421*v**2 - 54*v + 1337918?\nAnswer: 2842*v - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1674 and 7785774?\nAnswer: 1674","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 436652 to the power of 1\/3, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 1*(sqrt(612) + (sqrt(612) - (sqrt(612) + 4))*3 + sqrt(612))**2.\nAnswer: -288*sqrt(17) + 2588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -291c + 1c?\nAnswer: -2900","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2*o - 1 - 2)*(0*o + 0*o + o) + (-2 + 1 + 0)*(42*o**2 + 13*o**2 + 3*o**2) in the form w*o**2 + l + f*o and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10508 is divided by 3500.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-10)\/(r*r**(1\/10)\/r)*(r\/(r*r*r\/(r*r**(1\/6))*r))\/(r\/(r\/(r\/r**(-2\/17)))) assuming r is positive.\nAnswer: r**(-3328\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - ((3 - (2 + 1)) + 1 + -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45 - -34 - -41 - 61.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -310131 - 1?\nAnswer: -310132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -5873 >= -5870?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -103 + (-5 - (-121 + 56))\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3878 = 11*t - 4*t. Let q = t - 394. Let j = -64 + q. What is the tens digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/10660 and 89\/164.\nAnswer: 10660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41548?\nAnswer: 2, 13, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5402*t = 322*t - 127000 for t.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -290*d*g**3 - g**3 + 67*g wrt d?\nAnswer: -290*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*k**3 - 49*k + 49*k + (0 + 0 - 4*k)*(4*k**2 - 3*k**2 - 3*k**2) in the form b*k + u*k**3 + f*k**2 + y and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 20d9c4 (base 16) in base 8?\nAnswer: 10154704","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 62457 - 34457. Suppose 5*j = -2*c - 35000, -3*j - j - 2*c = n. What is j rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-33)\/22 + 26\/4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1534 to the power of 1\/2, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06395 rounded to two decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 11421854999 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -124165 (base 8) to base 6\nAnswer: -531353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 - (4 - (-1 - -4)). Calculate the remainder when (4 - q) + 13 + -9 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1 - -2.1. Let p = -20.4 - -20. Let d be -1 - 3\/6*0. Which is the closest to r? (a) d (b) p (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = -4*s - 2*v + 17, 0 = 3*s + 5*v + 16. What is the smallest common multiple of 13 and (-1)\/(s\/105) + 3\/12?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -78.1 - -82. Let w = v - 4. Which is bigger: -60 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*b**2 + 68 - 68.\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40 and 744?\nAnswer: 3720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -178890 = -194*m + 16*m. Let u(i) = 4*i**2. Calculate the remainder when m is divided by u(3).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-27)\/4)\/((-335)\/160 + 2) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23.52 + 23.92. What is the closest to 188 in k, -2, -0.4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 285b3 (base 14) to base 3.\nAnswer: 12002001210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17221*t + t**3 + 5786*t + 3*t**3 + t**3.\nAnswer: 5*t**3 - 11435*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02372094 to 4 decimal places.\nAnswer: -0.0237","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27581 - 27451.908. Let j = y - 0.092. Let k = 128.9793 - j. Round k to 3 dps.\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -329 + 329.3. Let u = -3.9 + 4.7. Put -3, -0.5, u, g in ascending order.\nAnswer: -3, -0.5, g, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 84296050?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1316448, -2632881, -3949314, -5265747, -6582180, -7898613?\n\"Answer: -1316433*k - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 13*v**2. Let w(i) be the third derivative of -3*i**4\/4 + 5*i**2 + 103*i. Determine f(w(r)).\nAnswer: 4212*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 + -1 + 1 - -10. Let t = 25 - i. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 2)*(0*u**2 - u**2 + 0*u**2) - 11 + 3*u**2 + 11.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 40*f**2 - 40*f**2 + 7 + 35*f**4 wrt f.\nAnswer: 140*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 2132*c + 183. Is r(7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -176 - -224. Calculate the greatest common divisor of 912 and c.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 0, -1, -7, 19382, 1 in descending order.\nAnswer: 19382, 6, 1, 0, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -6*y. Let g(u) = -3*u**2 - 28*u + 69. What is k(g(a))?\nAnswer: 18*a**2 + 168*a - 414","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -121945693, -121945694, -121945697, -121945702?\n\"Answer: -x**2 + 2*x - 121945694","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a gram in milligrams?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from vkkvqkkvvvkskvkvkk?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 307306848?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*d + 27 - 7*d + d + 3000*d**3.\nAnswer: 3000*d**3 + 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 110188910 and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*h*m*u*z**2 + 2*h*m*u - 3*h*m*z**2 + 33*h*m*z - h*u*z + 2*h - 20*m*u*z**2 + m*z wrt z.\nAnswer: -6*h*m*u - 6*h*m - 40*m*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 - 8*w**2 - w + 8. Suppose -x - 16 = x. What are the prime factors of g(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -716, 633, -31.\nAnswer: -716, -31, 633","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23 - 4*l + 3*l + 19 to n*l + o and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 + 5*d**2 + 4*d + 3. Let b be w(-4). Let s be (-12)\/(-8)*(2 + 0 + 0). What is the greatest common divisor of b and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138491 is divided by 911?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5813 in 1, -3, 2\/9, -15, -2\/5?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4655033810 rounded to the nearest one million?\nAnswer: 4655000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32 and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 475128 and 30?\nAnswer: 2375640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15540*c**4 - 4336*c**2.\nAnswer: 372960*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 7*q - 3. Suppose 0 = 2*i - 4*i - 12. Let m = -4 - i. Calculate the least common multiple of 3 and f(m).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29380081 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 20\/387 and 37\/36369.\nAnswer: 1563867","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of a**5\/60 + a**4\/3 + 3*a**3 - 54*a**2 + 2*a. Let f be o(-2). Solve 2*c - f + 4 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 1, 3\/2, 0.16, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -0*w + w. Which is bigger: w or 11\/9?\nAnswer: 11\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 15 + 12 = 0. Let m(s) = -s**3 - 8*s**2 + 8*s + 10. Let h be m(z). Suppose 0 = 4*k - 13 - h. Solve f = 2*n - 0 + k, 3*f - 5*n - 20 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in seventy-two fifths of a meter?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 to the power of 1\/2, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(110) + sqrt(110)*1))\/(2*sqrt(90) + sqrt(90)).\nAnswer: 4*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1292444165 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -501, -1256, -2013, -2772, -3533, -4296, -5061?\nAnswer: -5828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14.934 - -0.066. Let o = a - 46. Let t = o - -28. Sort 0.2, t, -4.\nAnswer: -4, t, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/6*(43 + -40). Suppose -w*s = 2*s - k - 438, -2*s = -k - 218. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 + -15. Let i = 6 - s. Suppose -i*m - 10 = -5*u, 3*u - 6 = 3*m - m. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03 + -52046?\nAnswer: -52046.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*u + 16 + 63 = -117 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 7 = -4*f. Let m(s) = 8*s**2 - 303*s + 2*s**3 - 1 + 15 + 312*s - s**3. Let p be m(f). Round p to four dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 + 7*w**2 + 3*w - 6. Let x be k(7). Suppose 8*b - 3*b - x = 0. Solve 5*l - b = 3*y + 2, 3*y = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 50 - 43. Let m = t + 209. Is m a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 125 - 2. Let x = n + -122.8. Put 9, -2, x in decreasing order.\nAnswer: 9, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of -z**6\/120 - 7*z**5\/60 + z**4\/24 + 7*z**3\/3 + 2*z**2 - 125*z - 5. What is d(-5)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 10*w = 276*w + 6187 for w.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9547713.\nAnswer: 3, 7, 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03 - 7924.081093971?\nAnswer: -7924.051093971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 9017 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 168 is divided by 58?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 5:51 PM?\nAnswer: 5:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from hlttlh.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -45*((-4)\/24 + -3*14\/180). Solve 6*d + 0*d = o for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 859821 is divided by 1331?\nAnswer: 1326","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = -2*f, f + 9 - 23 = 5*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -4*x**2 - 3*x + 3. Let u(y) = y**2 + y + 1. Let r(a) = l(a) + 5*u(a). Suppose 15*n = 19*n - 16. What is the remainder when 125 is divided by r(n)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 4*x**2 - 9*x + 1. Let w(b) = -3*b**2 + 9*b. What is -4*f(u) - 5*w(u)?\nAnswer: -u**2 - 9*u - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9950 is divided by 3292.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -7*u**3 + 14*u - 2. Let v(k) = -30*k**3 + 57*k - 9. Give 2*v(c) - 9*y(c).\nAnswer: 3*c**3 - 12*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of 56 and -0.076.\nAnswer: 55.924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/(z*z**(-9)*z))*z*z*z*z\/z**0*z)\/(z\/z**(-4))**(15\/4))**(-2\/25) assuming z is positive.\nAnswer: z**(83\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 606*x - 615*x = -54 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*l = -278 + 200 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(4*(sqrt(2)*-2)**2 + (sqrt(162) + (-1 + sqrt(162) - sqrt(162)))**2).\nAnswer: -1170 + 108*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 8*x + 9. Let c(n) = -19 - 2*n + 2 + 4 + 11. Let k = -3 - -1. What is k*y(q) - 9*c(q)?\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 37188958 to the nearest integer?\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ng when two letters picked without replacement from {n: 2, g: 4}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6, 7, -3?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432) + sqrt(432)*-4 + sqrt(432) + sqrt(3) + 5 + (sqrt(300) + -1)*-5 + 5)**2*-3.\nAnswer: -48636 + 6570*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 673.4 - 609. What is f rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -47, -133, -277, -479, -739, -1057, -1433?\n\"Answer: -29*o**2 + o - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*r - 2*r = 10 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2 + 3128*j + 3127.\nAnswer: (j + 1)*(j + 3127)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.5 + 1.4. Let d = -103\/654 + -1\/109. Put d, r, 0.5 in descending order.\nAnswer: 0.5, r, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-2)*((-98)\/14)\/35?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r + r + 7*r)*(2 + 12 + 13) + 10 - 10 + 3*r.\nAnswer: 138*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 71*j = 69*j + 3, 3*x + 2 = j for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 56 + 14. Let y = 70.00000037 - v. Round y to seven dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1055 + -729. What are the prime factors of a?\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 + -4 + (13 - -38)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -71 + (1 - -5 - 9 - 1).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 7303842?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, t: 5, v: 7, r: 4}. What is prob of sequence tt?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-4\/5)*f*f*f*f**(2\/13)\/f*(f**(-2\/3))**(-24))\/((f\/(f*f**(-2)*f)*f*f\/(f\/(f*f**(-6\/5)\/f*f)))\/(f**(-1\/3))**(1\/3)) assuming f is positive.\nAnswer: f**(9034\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 7*d**3 + 2*d**2 - d. Let u be h(1). Suppose 5*z = -c + 30 - u, -c + 14 = 3*z. Solve c*x = -1 - 5 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2237098229 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2 + 0*k**2 + 4*k**2 + 2*k - 3*k**2.\nAnswer: 2*k*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*t = -296*t + 7016 + 424 for t.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1\/2, -0.053, -5, 23552 in descending order.\nAnswer: 23552, 2, -0.053, -1\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40.132 + -110079840.\nAnswer: -110079799.868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1381769 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -221 - -230. Let y = 150 - o. What is the remainder when y is divided by 29?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29453260 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 146057141.\nAnswer: 2789, 52369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**0\/h)**(-14\/11))**(-7\/4)\/((h*h\/(h*(h*((h*h**(1\/2))\/h)\/h)\/h))**28)**27 assuming h is positive.\nAnswer: h**(-24997\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -15, -54, -117, -204, -315, -450?\n\"Answer: -12*u**2 - 3*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 4) to base 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 326*x + 8466. Determine i(-26).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + 0 - (2 - 56). Suppose -3*i + 2*i + 14 = 3*x, x + 10 = -4*i. What is the greatest common divisor of x and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyi when three letters picked without replacement from {y: 3, x: 1, i: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 27*f + 130. Let y be b(-34). Let n = 1746 + y. List the prime factors of n.\nAnswer: 2, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 - -16. Let m = 64 - r. Let d = m + -13. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -33. Let h(v) = -v + 31. What is 4*h(b) + 3*r(b)?\nAnswer: -4*b + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (18 - 10) + (3 - 10 - -3)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + 0. Suppose -i*p = 3*q - 36, -3*q - 27 = 2*p - 3*p. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, 2\/9, 2, 0.5 in ascending order.\nAnswer: -38, 2\/9, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29738 is divided by 172.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*q - 5*h - 15, 1438753*q - 1438755*q - 2*h + 2 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r**3 + 49*r**2 + 43*r + 52. Calculate c(-25).\nAnswer: -1648","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7 and 84?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1))**(1\/20)\/(q**(-1\/7)*q*q*q**(-5)))**(5\/18) assuming q is positive.\nAnswer: q**(433\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.426597 weeks in hours?\nAnswer: 407.668296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3039840 * -0.1\nAnswer: 303984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -818 + 570. Let h = -636 - o. Let c = h + 705. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-40756)\/(-161))\/((-6)\/(-21))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -297*i. Let k(u) = 6*u**2. Give m(k(w)).\nAnswer: -1782*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -370.84 + 370.64. Which is the second smallest value? (a) t (b) 21 (c) -14.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -160, 42, 6, -4, 35 in increasing order.\nAnswer: -160, -4, 6, 35, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.042, -2288, -0.5?\nAnswer: 0.042","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/(sqrt(21)\/sqrt(3)) - (sqrt(5) + -2 + -1 - sqrt(5)).\nAnswer: sqrt(5) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 + 6*b + 10. Suppose -5*d + 15 + 4 = -k, 8 = k + 4*d. Let z be c(k). Suppose z*w + 1 = -3, -19 = -q + 4*w. List the prime factors of q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -207, 5.\nAnswer: -207, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(((-5)\/(-20))\/(22\/(-8)))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - 1012100111?\nAnswer: -1012100022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 3*a - 2. Suppose -4*u = -5*t + 18, t = 4*u + 4*t + 2. Let c be (-1)\/(u\/8) + 2. Does 9 divide x(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -766*i**2 + 17*i + 60. Let x be w(-8). Let y = -152000 - x. Round y to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 107\/3 - 1499\/39. What is the third smallest value in 0.1, b, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/8 + (-27)\/(-4). Factor 16*q**2 + 2 - 9*q - q**4 - 2*q**5 + 2*q**5 - 14*q**3 + w*q**4 - q**5.\nAnswer: -(q - 2)*(q - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -428, -1596, -3588, -6404?\nAnswer: -10044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1672744 divided by -2.\nAnswer: 836372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 5:10 AM?\nAnswer: 4:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/2 and -76\/1431?\nAnswer: 2862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -3*t + 4*x + 24, 5*t + 42 = -4*x. Let u be -4 + 4\/t*9. Let p be (-4 + 26)*(-1)\/2. Is u equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 3*l - 29. Let h be r(18). Suppose 40*x + h = 45*x. What is the remainder when 27 is divided by x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, 3, 56, -5, 815, -2 in decreasing order.\nAnswer: 815, 56, 4, 3, 1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -303074 = -7*t + 445926. Round t to the nearest 10000.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 3*q**5 + 477*q**4 - 16251*q**3 + 142191*q**2 - 237552*q + 111132 = 0.\nAnswer: -189, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 4*i = 13, -3*u + i + 40 = 2*u. Is u even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - n)*(2*n + 6*n - 14*n)*(-4*n**2 + 5*n**2 - 2 + 2*n**2 - 2*n).\nAnswer: 18*n**4 - 12*n**3 - 12*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6216 divided by -1554.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 15) to base 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2222953 divided by 5?\nAnswer: 2222953\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - -5d970?\nAnswer: 5d975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 + 27*j**2 - j + 34. Let c be f(27). What is the greatest common factor of c and 399?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00245 to 4 decimal places.\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + 5. Suppose 3*m = -0*m + 12. Sort -0.1, m, x in increasing order.\nAnswer: x, -0.1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + -1)\/(270 + -272)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 4 + 12. Suppose 0 = -2*p + p + 5*n + 3479, p = -w*n + 3497. Find the second derivative of -30*s - p*s**2 - 31*s**5 + 3489*s**2 wrt s.\nAnswer: -620*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 3. Let i = d + -3.5. Let u be 4\/5 + 0\/(-1). Which is the nearest to 1? (a) u (b) i (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*0.025.\nAnswer: 0.175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 6}. Give prob of sequence uu.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j + 8. Suppose 3*p = 6*p. Let z be n(p). Suppose -4*b - 24 = z. What is b rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -811, -817, -819, -817?\nAnswer: -811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ogggoooooggggggggg. What is prob of picking 3 o and 1 g?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6633006?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 7, p: 5}. Give prob of picking 2 j and 1 p.\nAnswer: 21\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 4*r. Let u(q) = 6*q + 8. Let o(f) = 3*f - 4*f + 4 + 11. Let a be o(7). Let t(s) = 4*s + 5. Let c(g) = a*t(g) - 5*u(g). Determine c(j(v)).\nAnswer: 8*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 8*x**2 - 2. Let g(c) = -476*c - 5. Let o(p) = -1710*p - 18. Let l(v) = 18*g(v) - 5*o(v). Give l(z(b)).\nAnswer: -144*b**2 + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s**3\/9 - 159286*s**2\/9 + 3188399630*s\/9 - 223973933950\/3 = 0.\nAnswer: 213, 39715","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3))**(-1\/11)\/((a*a*a*a*a**(-2\/7)*a)\/((a*a\/(a*a**(-10)*a))\/a)) assuming a is positive.\nAnswer: a**(351\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22955 + 49264. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22 and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 2\/7 of a week?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-90)*23\/874*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*h + 7*h - 8092 = 53*h - 82*h for h.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-34)\/119 + (-3342)\/14. Let w = 380 + g. Suppose 0 = 14*z - 11*z - w. List the prime factors of z.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*p - 22 = 20. Solve 3*y = 4*f - 20, 6 = -p*y + f + 1 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(300) + 4 + -1*sqrt(300) + sqrt(300) - (sqrt(300) - (sqrt(300) + -2*(sqrt(300) + 1 + sqrt(300))))) + -4)**2 + -5.\nAnswer: -180*sqrt(3) + 2704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -5*f**3 + 16*f**2 + 335*f - 13. What is the remainder when p(-12) is divided by 384?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -1675*v**3 - 7*v. Let j(p) = 837*p**3 + 4*p. Calculate 7*j(d) + 4*s(d).\nAnswer: -841*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 5*q + 490, 2*q - 530 = -c - 3*q. Calculate the greatest common divisor of c and 136.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qwwmmqufulqwwwu. Give prob of picking 1 f and 1 w.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -25009137*u - 3626125 wrt u?\nAnswer: -25009137","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/1427624 and -115\/194676.\nAnswer: 4282872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + -25. Let i be r\/3 + -3 + (-20)\/(-6). Let o(n) = -n + 2. What is o(i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, i: 3, w: 4, c: 1, r: 1, m: 4}. Give prob of picking 1 i and 1 t.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15505836?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6b1 (base 16) in base 10?\nAnswer: 1713","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2575.5188 rounded to the nearest ten?\nAnswer: -2580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*t + 12*t - 20. Suppose 11*l = 6*l + t. Suppose 0 = c + 5, -l*c + 10 = k - 4. Is k a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 19*s - 14*s + 186, 4*l = 3*s - 248. Let b be 1\/1 - (-86)\/1. Let z = b + l. 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 the greatest common factor of 53 and 742?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 - 9*l**2 - 2*l - 3. Let h(o) = o**3 - 4*o**2 - 8*o + 6. Let y be h(5). Is u(y) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 5*k - 1346 = 0, 3*c - 3*k + 2*k - 1322 = 0. Let j(b) = 4*b**3 + 4*b**2 + 7*b + 1. Let d be j(5). Let i = d - c. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 5, z: 1, i: 2, t: 1, g: 1}. Give prob of picking 1 z, 1 t, 1 i, and 1 g.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -49 (base 13) to base 3\nAnswer: -2021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a millisecond in microseconds?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21225997 is divided by 200?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2799.5*0.178.\nAnswer: -498.311","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g**5 - 112*g**4 - 144*g**3 + 1756*g**2 - 2642*g + 1140 = 0.\nAnswer: -5, 1, 2, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 - 6*g. Let q be x(5). Let f = 528.4 - 525.4. Which is the nearest to f? (a) 0.3 (b) 2\/13 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - (0 + -3)) + 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 581316?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/8)*r*r)\/((r\/r**(4\/5))\/r)*r**(-11)*r**(-4) assuming r is positive.\nAnswer: r**(-483\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2151171, 4302414, 6453657?\n\"Answer: 2151243*t - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n + 12. Let y be u(-12). Let l = 0 + y. What are the prime factors of (26 + -3 + l)\/1?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 442106?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 + 23*k**2 - 58*k - 36. Let i be p(20). Solve i*o + 4 = 12 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 4812*g**2. Let d(v) = -2*v**2 - 329. Determine d(x(b)).\nAnswer: -46310688*b**4 - 329","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 65 and 2705755?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 3*t**2 - 4*t**2 + 0*t**2 + 2*t**2. Let d(y) be the first derivative of 10*y**3\/3 - 791. Calculate d(x(a)).\nAnswer: 10*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2542 and 11439?\nAnswer: 22878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1*3)\/(33\/(-22)). Let d be s\/(-8) - (-5610)\/24. Let g = -28 + d. Does 45 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1014 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13558096 to the nearest integer?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - 0. Suppose -20 = -20*c + 16*c + 2*h, 4*c + 5*h = 20. Put c, -7, l in descending order.\nAnswer: c, l, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -4*s + 6. Suppose -s*i + 3*q + 3 = 96, 4*i - 5*q = -127. Let o = -16 - i. Calculate the least common multiple of 16 and o.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - 53. Let u be (-2 + -92)\/((-24)\/k). Which is smaller: -236 or u?\nAnswer: -236","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 AM and 9:43 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 13 + -3 - 6 - (0 - -1). Find the first derivative of 4057*a - 114 + a**3 - 4060*a + 4 + 2*a**l wrt a.\nAnswer: 9*a**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/8 or 29404\/3?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.174103 millilitres in litres?\nAnswer: 0.007174103","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -2*f**2\/11 - 534*f\/11 - 532\/11 = 0.\nAnswer: -266, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/9)\/(1\/(-3))*3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(288\/(-8))*8\/1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1259201 is divided by 419620.\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1211592 to the power of 1\/3, to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*l + 36 + 10 = -230 for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, g: 10, l: 2, c: 2, j: 1}. What is prob of sequence gl?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1194992 is divided by 45961?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17678*n**2 + 37*n**5 - n**3 - 25 - 17678*n**2 - 14*n + 2*n**3 wrt n?\nAnswer: 740*n**3 + 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.032567 and -3?\nAnswer: 0.097701","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -2, 35\/3 in decreasing order.\nAnswer: 35\/3, 0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 45 - 44. Let i(t) = 5*t. Calculate i(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -1\/8 (b) 2\/5 (c) 0 (d) -4 (e) 2506\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.99074 - -0.00926. Let k = -1 - -1. Which is the nearest to 0? (a) k (b) -0.07 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 9\/6)\/(8\/(-80))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/5 or 0.047124?\nAnswer: 0.047124","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 - u + 50. Is 10 a factor of a(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b**(-2\/19)))\/(b**(-4\/7)*b))\/(b**(-6\/5)\/b*b\/(b**10\/b)) assuming b is positive.\nAnswer: b**(6568\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*w + w + 5*w + (-3 + 3 - 2)*(2*w + 2 - 2) - w - 2*w + 2*w + (-6*w + w - 3*w)*(2 - 1 - 3) + 2*w + 3 - 3 - 4 + 2*w + 4.\nAnswer: 17*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-3))\/(590\/177)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -381*q + 196*q + 185*q - 10*q**2.\nAnswer: -10*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/1 + 190\/(-10) + 73 + -12.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2764 divided by 691?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 1190.568366 to the nearest 100.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -0*j + 5*j - 15, -5*l + 3*j = 9. Suppose 3*z - 18 = -l*z. Calculate the remainder when 10 is divided by z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 193411280?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29730 is divided by 24?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 802529?\nAnswer: 7, 13, 8819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of -v**6\/180 + v**4\/6 + 2*v**3 - 7. Let m(d) be the third derivative of l(d). Find the first derivative of m(b) wrt b.\nAnswer: -4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 36 + 41*d**2 - 67*d**2 + 29*d**2 as h*d + a*d**2 + k and give k.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-4)*(y*y**(-4\/5))\/y*y**(-2\/9)\/y**(-8) assuming y is positive.\nAnswer: y**(134\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32 + 32 + 7031370*t.\nAnswer: 7031370*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72210247.\nAnswer: 72210247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -221*g + 207*g = -66 + 24 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((81\/(-54))\/((-6)\/16))\/(18\/12)\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -137*l**4 - 14457 + 3*l**2 - 52*l**4 + 14494 wrt l.\nAnswer: -4536*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 17890596?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -6*r**3 - 1. Let c(h) = -h + 1. Let s be c(2). Let f be q(s). Suppose -2*o + 5*o + l = 28, l = -f*o + 50. What are the prime factors of o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, 5, 4835 in descending order.\nAnswer: 4835, 5, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1761 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1 - 2*v**2 - 6*v**2 - 10 - 9*v**2 wrt v?\nAnswer: -34*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 204 = l, -3*o - 3*l + 4*l = -296. Suppose 7*x - o = 2*x. Solve 3*k - 2*k = 5*z - x, 2*k = 10 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 + 2)*102\/9. Suppose h = 5*f + 19. Suppose i - 8 + 0 = 0. Calculate the remainder when i is divided by f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.22+-0.264\nAnswer: -0.044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -50044290 divided by -5\nAnswer: 10008858","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u + 0*u**5 - 2*u**5 + 0*u)*(3 - 6 - 1).\nAnswer: 8*u**5 - 4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 0*d = 21. Let i be (-2)\/(-4*1\/10) + d. Suppose 181 = i*r - c, -3*r - 2*c + 51 = -231. What are the prime factors of r?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -65 - 119 + 40*z**3 + 2*z**3 - 85 - 40*z**3 to v*z**3 + a*z**2 + q*z + b and give b.\nAnswer: -269","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 394a92 (base 12) to base 8\nAnswer: 3457016","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -214002 - -4?\nAnswer: -213443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 7*z**2. Let r(m) = 39*m + 27. Let t be 1\/(-1) + 1 + 1 + 26. Let y(c) = 3*c + 2. Let d(a) = t*y(a) - 2*r(a). Determine i(d(x)).\nAnswer: 63*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4651035*r**2*t**2 - r**2 - 3176*r*t**2 + 2*r*t - 3*r + 224*t**2 - t wrt r?\nAnswer: -9302070*t**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 13 = -4. Let f(o) = o**3 - 2*o**3 - i*o**2 + 2*o**3 + 6*o - 1 + 9*o**2. Give f(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*n + 16 = -54 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 1 + -110 + 29 + (24 - 41) + -4.\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/5 - (-23352)\/(-8340)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 93 or 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 105981, 106826, 109121, 113592, 120965, 131966, 147321, 167756?\nAnswer: 193997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 659134?\nAnswer: 2, 7, 23, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/1 + -78 - -4. Let t = v - -98. Is t a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 85973 + -85972.99999952307. Round n to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -46\/163 + -6832\/9291. Is z greater than or equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41775400969 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 3*w - w + 88 = 0, -2*w + 104 = -4*u. Is 5 a factor of (10\/6)\/(116\/u - -5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 2:30 AM?\nAnswer: 4:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22433, 22197, 21951, 21695, 21429?\nAnswer: 21153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -295 + 295.0737. Let d = a - 0.08147. Round d to 3 dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 184 = 13*l + 10*l. Let p be (l - (-488)\/(-60)) + (-186)\/(-45). Solve p*z = -3*z + 28 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -127, -256, -387, -520?\nAnswer: -655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 254496?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 17, -8, -5, -1 in ascending order.\nAnswer: -13, -8, -5, -1, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/6 or 30?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 2. Let x be 4\/(-6)*81\/g. Suppose -r = -2*r + x. Is 15 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(100)\/sqrt(2) + (0 + sqrt(32))**2 - ((sqrt(50) + 0)**2 + -3)).\nAnswer: -30 + 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, e: 1, r: 2, c: 1}. Give prob of picking 1 e, 1 r, and 1 t.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.038388236 + -794.893?\nAnswer: -794.931388236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r = -16*r + 66. Suppose -8*n - 360 = -r*n. Calculate the highest common factor of n and 300.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3272 - 4?\nAnswer: -3276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -45483434, -45483434, -45483426, -45483404, -45483362, -45483294, -45483194, -45483056?\nAnswer: -45482874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 + -10452017154.\nAnswer: -10452017121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 43 + -44. Let z = -2 + 1. What is the closest to z in c, -4, 2\/5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = 9*h - 64 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1\/132 - 797\/660. What is the second smallest value in -2, 1\/3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 49534 - 0.0646\nAnswer: 49533.9354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14 and 1771?\nAnswer: 3542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 - 5*h. Let w be x(4). Let s(g) = g. Let y(a) = a**2 + a - 5. Let l(n) = 3*s(n) + y(n). Give l(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8458.6 rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5511 and 396.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/1457918 and -107\/154.\nAnswer: 1457918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 11:23 PM?\nAnswer: 8:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 112.7 + -95. Let y = 48.8 + a. Let v = y + -86. Round v to 0 dps.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - 1)*106*3\/(-1). Let x = 320 - z. Calculate the smallest common multiple of 12 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -4*u + 8*u. Let o(y) = 2*y**2 - 6*y + 8. What is the hundreds digit of o(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -79851 - -79850.816533. What is w rounded to 2 dps?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -19*s + 3. Let u(b) = 836*b - 133. Let n(o) = -133*r(o) - 3*u(o). Let w(k) = 3*k**2. What is n(w(l))?\nAnswer: 57*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8894\/19 + -468. Determine h so that -10\/19*h - 6\/19 - 2\/19*h**2 + s*h**3 = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 221?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + 4*w - 16*w)*(-7 + 4 - 3).\nAnswer: 66*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 751 is divided by 59?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*w + 2*c + 12, 0 = -w + 31*c - 33*c - 20 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -48 + 124. Let s = 1056 + -1054. Suppose 6*i - y = s*i. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -16934, -16935, -16932, -16919, -16890?\n\"Answer: c**3 - 4*c**2 + 4*c - 16935","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -12*y**2 + 15*y + 14. Let r(c) = -11*c**2 + 13*c + 15. Let m(l) = 7*r(l) - 6*z(l). Let w be m(0). What is the highest common divisor of 777 and w?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 + -3 + (21 - 16) + 1?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iwsw when four letters picked without replacement from svaiuvssaswsw?\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 468 + -512. Sort r, -5, 2 in decreasing order.\nAnswer: 2, -5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of 1\/3*s**3 - 9 + 0*s + 0*s**2. Let j(g) = g. Give i(j(o)).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 2*b - 75. Suppose -3*h - 3*y + 2 - 17 = 0, -5*h + 5*y = b. Let t(k) = -4*k + 0*k + 5*k + 9. Determine t(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*g**4*i**3 - 173965*g**3*i**3 - 59*g**2*i**3 + 9*g**2*i - g**2 - 11*g - 9*i**2 wrt g.\nAnswer: -168*g*i**3 - 1043790*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1077 is divided by 618?\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 8 + 176 = -2*m, -k - 2*m = -32. Let g be (-41)\/(4\/k*-3*3). Suppose g = -9*x + 167. What is the remainder when 55 is divided by x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/3 (b) -3\/5 (c) 1\/133 (d) -1\/6 (e) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/68, -5, 7\/379 in decreasing order.\nAnswer: 7\/379, 1\/68, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 11*b + 38*b + 4 + 4 - b as z + k*b and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30 - 30 - 13*y)*(-2*y - 1 + 1) + (5*y**2 - 3*y**2 - 3*y**2)*(-2 + 1 + 4).\nAnswer: 23*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - -a18?\nAnswer: a15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 2923269896.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 301985 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 - 11. Calculate the remainder when 18 is divided by o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 + -14 + 52 - (1 - 1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1543 - 1541. Solve 2*h - 2*j = 0, -q*h + 0*j = 2*j + 4 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8671\/7 + 1247. Let i = -2384\/517 - -80\/47. Find the common denominator of i and j.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48203 and 86?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 5*h**4 - h**3 + 8*h**2 - 3*h + 7. Let v(y) = 4*y**4 - y**3 + 8*y**2 - 2*y + 6. Let o(b) = 6*a(b) - 7*v(b). Factor o(f).\nAnswer: f*(f - 2)*(f + 2)*(2*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 0.0965, -0.5, -0.3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k**2. Let j = 2 + 1. Suppose 12 = -0*m + j*m. Let d(f) = 2*f**2 + 0*f**2 - m*f**2. Calculate d(x(y)).\nAnswer: -8*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 8*x + 10*x - 18, 0 = 4*f - x - 9. Solve -6 = -f*l - 3*s, -3*l - 5 = -2*s - 6 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 4 = -s, 162 - 142 = 5*c + 5*s. Solve c = -4*p, 294 = -m + p + 290 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 2 = -3*l. Suppose 0*w + 1 = -i + l*w, -4*i + 4*w = 4. What are the prime factors of 14\/(-4)*(i + -3)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1169\/616111 and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 62, 61, 60, 59, 58, 57?\n\"Answer: -a + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 22 + 5?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 - 1)\/(1\/(-2)). Let s = -2 - y. Let g = s - 0. Solve 0 = 3*z + 2*m + 17, 2*z + 17 = -5*m + g for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 1)*(0*g - 3*g + g) + 4*g - 4*g - g + 2*g + 3*g - 3*g + 8*g + 4*g + 7*g.\nAnswer: 22*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1*0.1085878\nAnswer: 0.1085878","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(82\/(-8))*(20\/(-8))\/(-5).\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 6, j: 11, r: 1}. Give prob of picking 3 j and 1 r.\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -4*o**2 - 10*o + 1. Let n(c) = 3*c**2 + 10*c - 1. Let t(f) = -4*d(f) - 5*n(f). What is the tens digit of t(15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in one tenth of a millisecond?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4527091 is divided by 229.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 98 + -110160004\nAnswer: -110159906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.174 + -0.301. Let v = -6.773 + p. Let j = -7.3 - v. Which is the biggest value? (a) 4 (b) 2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3040 and 1558?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3191358960 + 0.112\nAnswer: 3191358960.112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*8\/(-432)*-6.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 447 - 443. Suppose 0*h - 4\/7*h**2 + 0 + 4\/7*h**q + 2\/7*h**5 - 2\/7*h**3 = 0. What is h?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4260.2 - -4260. Which is the third biggest value? (a) -4 (b) k (c) -1 (d) -3 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 + 2*j**2 - 7*j - 10. Let q be w(-3). Let n(y) = y - q*y - 6*y + 8 + 3*y. What is n(6)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23033 - 32?\nAnswer: -23131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of -o**6\/15 + 22*o**5\/35 + 37*o**4\/42 - 2*o**3\/3 - 13*o. Solve y(a) = 0.\nAnswer: -1, 0, 2\/7, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y**3 + 2 - 2 + (6*y**2 - 2*y**2 + 0*y**2)*(-2 + 2 - 2*y) + y**3 - y**3 + y - 2*y**3 - 2*y + 2*y - y**3.\nAnswer: -13*y**3 + y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 75 + -74. What is the second biggest value in m, 1\/4, -9?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2846527 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17.3 + -18. What is the second biggest value in 0, -2\/13, w?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + (6 - 8) + (-3 - 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 20\/(-24) + 1 - 1470\/(-36). Solve -6*d + h = 17 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -9*f**2. Let u(m) = -14*m - 420. Let b be u(-30). Let c(d) be the second derivative of -1\/3*d**3 + b*d**2 + 5*d + 0. Calculate c(i(a)).\nAnswer: 18*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eceeecceeeeeecceee. Give prob of sequence ccce.\nAnswer: 13\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1215540*d**2 + 2431073*d**2 - 1215536*d**2.\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 37900 and 360?\nAnswer: 682200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3829 is divided by 549?\nAnswer: 535","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.06 - 1.6. Let d = 0.3 + -0.26. Let j = d + o. What is the nearest to -0.1 in 0.1, -0.4, j?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 4 + 6)*(4*f - 11*f**2 + 11*f**2 - 3*f**3 - 2).\nAnswer: -33*f**3 + 44*f - 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 236\/(-5735) - (-84 - 248480\/(-2960)).\nAnswer: 2\/155","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 207044?\nAnswer: 2, 191, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 5. Let a = 63 + -59. What is the nearest to 1 in a, -4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v - 7410 = -17*v. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 1 + (6*(sqrt(2) + -1) - (sqrt(2) + sqrt(18)\/sqrt(81))).\nAnswer: -2 + 14*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 1035996 = 2*p, -p + 558945 = -3*y + 40946. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -145, -277, -399, -511, -613?\nAnswer: -705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1482 = 31*x + 47*x for x.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 159921445253 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 68 + -70. What is the hundreds digit of (-2)\/u*-1*547\/(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 - 4*i**2 - 3*i + 2. Let c be t(-3). Let r(l) = l**3 + 3*l**c - 4 + l**2 + 4*l**2 + 6*l. What is the units digit of r(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -3 + 1*54\/3.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 0*f = 3*g - 15, 4*f = 2*g + 8. Let s = -2 + g. Suppose -3*h + r + 45 = -s*r, 0 = -3*h + 4*r + 45. List the prime factors of h.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1171 = 726*n - 472*n - 9045 for n.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 112665 and 105357?\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 69\nAnswer: 4\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16362, 16292, 16182, 16032, 15842, 15612?\nAnswer: 15342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 4 (b) -2 (c) -0.14 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/(-10) + 48\/10 + (104 - 113). Sort -2\/3, m, -1\/28, -2 in ascending order.\nAnswer: m, -2, -2\/3, -1\/28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -838*c**2 - c + 840*c**2 + 967*c**3 + 5*c - 4*c.\nAnswer: 967*c**3 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6.71 - 6.71. Which is the nearest to y? (a) -2\/7 (b) 27\/2 (c) 0.03 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 15 = 2*f, -t = -6*f + 2*f - 5 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(704)*-3*2 + sqrt(704) + 5.\nAnswer: -40*sqrt(11) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -48367406\nAnswer: 1\/48367406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 10 + 18. Let q = n + 12. Suppose q*i + 10 = 35. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 6:18 PM?\nAnswer: 4:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 4 + -9 + 14 + -3?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.791111l in millilitres?\nAnswer: 2791.111","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 - s - 2. Determine l(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of 0 + 0*w**4 - 9*w**2 + 1\/3*w**5 + 0*w + 0*w**3 - 7\/120*w**6. Find the third derivative of q(k) wrt k.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56 - 52 - ((3 - 1) + 1) - -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 9, m: 3}. What is prob of sequence zmzz?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11797649?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*-1109\nAnswer: 221.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -539372 or -539359?\nAnswer: -539359","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135160.\nAnswer: 2, 5, 31, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u - 1 + 0 - 5 + 2. Let a be o(5). What is the units digit of 2\/(-13) + ((-496)\/(-13))\/a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 7.7, 6, -0.1, -5, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 less than -284867061.15023?\nAnswer: -284867061.17023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 100*u**3 - 40*u**2 + 4*u.\nAnswer: 4*u*(5*u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of l**4\/12 + l**3\/6 + 3*l**2\/2 - 2*l - 1. Let i(t) be the first derivative of z(t). Is i(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -182562 - -182582.9946. Let s = -20.81 - 0.19. Let w = s + u. What is w rounded to 3 decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2480482845 and 405?\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n - 19456 + 6*n + 9726 + 9730.\nAnswer: 5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 143196?\nAnswer: 2, 3, 11933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64 + 467*b**2 - 78 + 5 + 9.\nAnswer: 467*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 5*u - 4*p, 14 = -3*u + 6*p - 10*p. Solve -6 = 3*i + 3*g, 0*i + i + 2 = -u*g for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -154 by -22.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - -1055?\nAnswer: 1052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -6 + (-1135)\/(-180) + 0. Let t = g - -1\/36. Let o = -0.1 - -0.1. What is the nearest to t in 5, o, 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) -94 (b) -13 (c) 11 (d) -4 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/4 of a micrometer in nanometers?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence og when two letters picked without replacement from {g: 2, o: 1, a: 1, c: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -91, -1, 3, -9, -8\/3.\nAnswer: -91, -9, -8\/3, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = u + 15, -5*u - 39 = -6*k + 2*k. What is the least common multiple of k and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 5 - 4)*(111 - 201 + 89 - 140*z)*(0*z**3 - 3*z**3 + 4*z**3).\nAnswer: -280*z**4 - 2*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 986.7 - 1033. Round z to the nearest integer.\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2379*h - 22 = -2381*h - a, 0 = -23*h - a + 64. Factor -15 + 14*c - 1\/4*c**3 - 11\/4*c**h.\nAnswer: -(c - 2)**2*(c + 15)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*t - 74*t + 292 = 0. Let o = 298 + t. Solve 0 = -5*h - 2*m - o, m = 4*h - 0*m + 10 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -119651.\nAnswer: -239302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 40 - 38. Suppose h - 2*i - 23 = 2*i, -3*i - 9 = k*h. Let b(d) = -12*d - 2. Let m be b(-1). Solve -x + h*g - m = -6*x, 0 = -g for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 15, 2*h + 39*x - 38*x = 1. Solve -h*k - 70 = -16*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of r**8\/252 + 2*r**7\/315 - r**6\/15 + 2*r**5\/45 + 5*r**4\/18 - 2*r**3\/3 - 2*r**2 - 5*r. Let i(w) = 0. Calculate w.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 minus 211427212.7226?\nAnswer: -211427213.0226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 140682*p**3 + 104041.\nAnswer: 422046*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 67 - 47. Let d = r - 3. Solve -42 + d = -5*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*o**5 - 21*o**5 + 13*o**5 + (o**5 - 3*o**2 + 3*o**2)*(-4 + 4 - 1).\nAnswer: 3*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.01? (a) -42 (b) 2\/23 (c) 2 (d) -4.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 8977.56kg?\nAnswer: 8977560000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*f**4 - 125642*f**3 + 6*f + 8866 wrt f.\nAnswer: -24*f**2 - 753852*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3382*j + 239065 + 149872 = 111613 for j.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 2. Suppose -3*b + 4 = -b - 2*d, 0 = 4*b + 3*d - 8. Suppose b*p = -0*p. Sort p, q, -0.2 in descending order.\nAnswer: q, p, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80303454 a multiple of 462?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -8, 31070, -5, -3.\nAnswer: -8, -5, -3, 5, 31070","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2205007 divided by 363?\nAnswer: 2205007\/363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = -21*y + 22*y + 1, 4*q + y = -16 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 73*a + 6. Let l(j) = -148*j - 12. What is -3*l(y) - 5*p(y)?\nAnswer: 79*y + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of -o**4\/12 + 7*o**3\/6 - o**2 + 4*o. Let i be l(6). Solve 4*x + 56 = -i*p + 20, -4*p + 3*x = 8 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14 by -1.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2)*s)\/s**(-2\/7)*(s**(-1))**(15\/7)*((s**(2\/9)\/s)\/s)\/s**(-1\/2)*s**(3\/7)\/(s**(1\/7)\/s*s) assuming s is positive.\nAnswer: s**(-485\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 617856366.\nAnswer: 2, 3, 313, 383, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -10*o**4 + 24*o**3 + 1592*o**2 - 9600*o + 3584 = 0.\nAnswer: -14, 2\/5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 + 2*a**2 - a - 1. Let k be j(1). Let n be (350\/56)\/(k\/(-4)). Solve -10*w + 5*w = n for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j - 90 = -0*j. Let m be (j + -8)\/(2\/19031779). Let d = 10231779 - m. Round d to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 46 divided by 303.\nAnswer: 46\/303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 7 = 1. Let p(a) = -9*a + 5. Let v(b) = b. Let k(f) = u*v(f) - p(f). What is the derivative of k(l) wrt l?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20 + 29. Does 5 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 11) to base 15\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6 + 2)\/(2\/4). Suppose 0*o = 5*o - 3*i - 42, 5*o = -2*i + 22. Let k be 21 - o - -1*1. Do t and k have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 323, 672, 1031, 1394, 1755, 2108?\nAnswer: 2447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of -y**4\/12 - 2*y**2 + 632. Let j(a) = -a. Let q(u) = -4*u + 0*u + 14*u. Let w(b) = j(b) + q(b). What is c(w(r))?\nAnswer: -18*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -53 (base 8) to base 3.\nAnswer: -1121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-8)*u*u**(-1\/12)*u**19*u*u*(u\/(u*u\/(u*u*u*u**(2\/19))))\/u)**(19\/2) assuming u is positive.\nAnswer: u**(3425\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 + 2*f**2 + 27*f - 1. Let h be n(6). Suppose -h*k + 13*k = -88. What is the remainder when 51 is divided by k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 25162323.2 and -1?\nAnswer: 25162324.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve t**3\/2 + 331279*t**2\/2 + 2153249*t + 6625320 = 0.\nAnswer: -331266, -8, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 + 25*u + 12. What is the units digit of w(11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1142\/122407 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(-5) - (-12)\/20. Is -2\/79 at least as big as k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -33 + 42. Suppose h - 5 = 2*v. Solve -3*q = -q + 10, -2*q + v = -3*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 4*t - 3167, 2*g + 2*g + 5*t - 4171 = 0. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 216\/60*110*76\/627.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 AM and 10:28 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 1 = m. Suppose -h - 2*g + m = 0, -5*g = -9 - 16. What are the prime factors of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 317 + -328 - (-1 + 0 + 22).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-98)\/(-28)*(-8)\/(-14). Solve 0 = 6*q - o*q + 5*s + 12, -4*q = s - 4 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 208 + -207.9. Let o = 1 + -0.3. What is the biggest value in o, m, -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -201335, -402285, -603235?\nAnswer: -804185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of 0 + 0*b - 1\/30*b**5 + 2*b**2 + 0*b**3 - 1\/24*b**6 + 0*b**4. Find the third derivative of o(w) wrt w.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 - 2*s**2 + 2*s - 2. Let i be l(2). Let d be 9\/(-3)*(-40)\/6. Let q = -79\/4 + d. Which is the second biggest value? (a) i (b) -3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 7) to base 11.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 54*f + 5070 - 18624. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 9:27 PM?\nAnswer: 6:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 595\nAnswer: -1190","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y - 892 - 204 = 0. Is 6 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 1. Suppose q = -z - 0*u + 2*u - 7, -3 = -u. Is (-19 + 0 + 0)*z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 6, s: 1, n: 4, e: 4, l: 2}. What is prob of sequence nx?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -3, -829, -209?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/5*(-100)\/(-240).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1051 + -41642?\nAnswer: -40581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7\/3 + (12\/(-9))\/4. Suppose -g*h = 6 - 24. Suppose -4*o = -5*p + h, 2*o - 5*p = -26 + 9. Solve 5*w + 1 = n + 2*w, o*w = 4*n - 12 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -142 - 74 = -3*n. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((15\/6)\/1)\/(-2)*(-15568)\/5560.\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -557 divided by -557\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, 2, -8, -6667 in descending order.\nAnswer: 4, 2, -3, -8, -6667","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in fourty-nine quarters of a week?\nAnswer: 2058","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r = 43 - 120. Let a(v) = 2*v**2 + 6*v + 1. What are the prime factors of a(r)?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 341\/62 - 300\/56?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t - 1. Let y(o) = 13*o**3 + 2*o**3 + 3 + 5*o**3 + 2*o - 1 + 24*o**2. Suppose -u = 1 - 2. Let q(s) = u*y(s) + 2*p(s). Factor q(k).\nAnswer: 4*k*(k + 1)*(5*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*i - 91*i + 504 = -92*i for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 236\/(-2124) + (-10)\/(-36).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + x - 1203 = 0, 3*b + x - 906 = -x. Suppose -3*g + 138 = -b. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 4\/2160309 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c**3 + 81*c - 2*c**2 + 82*c - 5 - 166*c to the form d*c**3 + s*c + u*c**2 + h and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 - 10*z - 5. Let s be (-4 + 1)*(0 - 1). Suppose s*m = -5*j - 57, m + 20 = -4*m. What is the units digit of n(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 112 and 504.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 82*-59\nAnswer: -4838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 18 = -b. Calculate the lowest common multiple of b and 21\/(-1 - (-6)\/4).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.782 and -0.253?\nAnswer: -0.703846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 62747?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 80635 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = d - 0*d. Let z = 139 - 79. Calculate the greatest common divisor of z and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -139*i - 59*i = 205*i - 89*i. Solve i = 23*y + 364 - 479 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22638267518 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/(96\/(-92) + 1). Suppose -7*o = -n - 816. Calculate the greatest common factor of o and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*w - p + 3 + 3, -4*w = 5*p - 12 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h. Let q(z) = -2*z**2 - 2*z. Determine l(m) + q(m).\nAnswer: -2*m**2 - 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -164*h - 162. Let u be x(-1). Let r(j) be the second derivative of 1\/80*j**5 - 8*j**u + j - 1\/4*j**4 + 0 + 2*j**3. Let r(k) = 0. Calculate k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -550*t**3 - 277*t**3 + 127*t**3 - 371*t**3.\nAnswer: -1071*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2307, 10343, 24077, 43509, 68639, 99467, 135993?\nAnswer: 178217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -7. Suppose -7 = -3*k + f + 1, y*k - 14 = 5*f. Suppose 4*t - 34 = -k*p, -2*p + 2*t = p - 11. List the prime factors of p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (48 - 14 - 33) + 2*-1*-8. Let i(f) be the third derivative of -f**4\/24 + 7*f**3\/3 - f**2. Give i(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -230936, -230935, -230934?\n\"Answer: g - 230937","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 921309345 a multiple of 343?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10110000111 (base 2) to base 9.\nAnswer: 1842","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-2)\/(16\/20).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-15) - 1\/(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -l**4 - 41*l**3 - 137*l**2 + 401*l - 222 = 0. Calculate l.\nAnswer: -37, -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1124014357?\nAnswer: 1721, 653117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 691.7112+-0.11\nAnswer: 691.6012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 - 12*o**2 - 5*o - 5. Let b(l) = -l**3 - 13*l**2 - 6*l - 6. Calculate -5*b(x) + 6*p(x).\nAnswer: -x**3 - 7*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*h*l*n**2 - 2*h*l - h*n**3 + 719*h*n - 8*h - 90*l*n**2 - l*n - 27*n**3 wrt n.\nAnswer: -4*h*l - 6*h*n - 180*l - 162*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 1. Let d be (-5)\/((-5)\/(-6)) + v. Let o be (52\/(-5))\/(1\/d). What is the greatest common factor of 13 and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89427479 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -5*y - 35, -20 = -24*o + 23*o + 5*y. Let l(w) = w**3 - 4*w**2 - 2*w - 21. Give l(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 131589*y**3 - 43*y**2 + 90*y - 1. Is t(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 4 - (-1 + 2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of r**5\/10 - 3*r**4\/4 + r**3\/3 - 9*r**2\/2 - 2*r. Let f = 3 + 3. Is h(f) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4289\/2 + 1917. Let i = r - -250. Let v = 22 - i. Which is the closest to v? (a) 2 (b) -0.4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9*-1.758\nAnswer: 15.822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of q**4\/12 + 7*q**3\/2 + 15*q**2 + 31*q. Let j be x(-20). Find p, given that 4*p**3 + 3*p - 5*p + 0*p - 8 - j*p = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llillliliillll. What is prob of picking 1 l and 1 i?\nAnswer: 40\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*s**3 - 5*s**3 - 7*s**3 + 23*s**3.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/2178541 or -74?\nAnswer: -74","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 230719 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -41, 282, -0.11?\nAnswer: 282","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.2 (b) -0.11 (c) -2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, -26, -68, -136, -236, -374, -556?\nAnswer: -788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**3\/5 - 9774*i**2\/5 - 15921846*i\/5 - 8645562378\/5 = 0. What is i?\nAnswer: -1629","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 9 = 3*u - 115, -5*p + 20 = 0. Let z be 2\/7 - 212\/7. Let y = u + z. Is 4 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**3 + 411*g**2 + 801*g - 1215.\nAnswer: 3*(g - 1)*(g + 3)*(g + 135)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 287131027 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 36 = 5*r. Let d(v) = -2*v - 9*v + 7*v + r*v. Let m(u) = -10*u**2. Give m(d(z)).\nAnswer: -10*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 372, 364, 350, 330, 304, 272, 234?\nAnswer: 190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12786491.\nAnswer: 47, 272053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11030 - -11032. Suppose -2\/11*i**t - 4\/11*i + 0 + 2\/11*i**3 = 0. Calculate i.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -633\/2 + 266. Suppose f - 2*j + 388 + 891 = 0, -4*j - 1267 = f. Let q = -10215\/8 - f. What is the common denominator of b and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -19 > 8102237?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/34 (b) -3\/7 (c) 1\/2 (d) -5\/4 (e) 0.1 (f) -126\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.1540452 times 0.15\nAnswer: -0.02310678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20309 + 41007. Does 15 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-22)\/(-8)*4*1)\/1. Suppose -2*l - 1 = -4*l + 3*m, 0 = -5*l + 2*m + 8. Suppose 2*q - 10 = 0, -l*d + q = -2*q + y. Put -1, d, -5 in decreasing order.\nAnswer: d, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 144, 469, 932, 1491, 2104, 2729?\n\"Answer: -7*a**3 + 111*a**2 + 41*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43095408, -86190812, -129286216, -172381620?\nAnswer: -215477024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1676 is divided by 99.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = 12, 0 = 11*p - 12*p + 3*o - 9 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (17 + 9 + -18)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -18 (b) -4 (c) -0.12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75 = -27*t - 48 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 118 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 120301 times 3?\nAnswer: 360903","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -53.3, 228, 1\/2 in descending order.\nAnswer: 228, 1\/2, -53.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = -5*n + 2*n + 40 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 PM and 7:46 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5)\/((-7)\/10 + (-4)\/(-20)). Suppose p = 29*q - 48. Solve q*y - 8*y = 24 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 130? (a) 15 (b) -1\/2 (c) -23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23052, 23047, 23042?\nAnswer: 23037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1108870*u**2 + 5*u - 3*u - 1108891*u**2 - 2*u + 2217764*u**2.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 7 + 3. Suppose -d*w + 84 = 4*w. Calculate the least common multiple of 44 and w.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 284208.36779 + 1494.55521. Let s = b - 285885. Let u = 182 + s. Round u to two dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of 2*i**5\/25 - i**4\/5 - 8*i**3\/15 + 2*i**2\/5 + 6*i\/5 + 17. Suppose x(p) = 0. What is p?\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = l + 20. Suppose 2*i = f - 2*i - 10, -3*f = -l*i - 9. Suppose 0 = -11*a + a + 60. Put a, -4, f in decreasing order.\nAnswer: a, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k. Let z be n(3). Let l be ((-7)\/2 + z)\/2. Let s = 0 + -0.5. Which is the biggest value? (a) l (b) 0.4 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 4*b - 198, -4*t - 4*b = -0*b - 832. Is t a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -439\/7 + 63. Sort -2\/11, -4, d in decreasing order.\nAnswer: d, -2\/11, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -7*t + 5. Let v(p) = 4*p**2 + 5*p - 4. Let n be v(1). Let o be m(n). Let h be (4\/o)\/((-3)\/5). Is 0.4 < h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-21)\/(-14)*(-8)\/6. Let g(h) = 225*h**2 - h - 4. Let q be g(y). Suppose -u + q = -3*r, 3*u + 0*r - 2661 = -2*r. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/25)\/(-6*22\/(-120))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*d**2 + 5 + 2*d - 6 + 23 - 2*d**3 - 3 to the form a*d + v + m*d**3 + w*d**2 and give v.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 12202878 = -5\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1717?\nAnswer: 17, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -8\/13*i**4 + 0 + 2*i**3 - 6\/13*i**2 + 0*i = 0.\nAnswer: 0, 1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 945, 8433, 20913, 38385, 60849, 88305, 120753?\n\"Answer: 2496*j**2 - 1551","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 3*k**3 + 3 - k + 0 + 4 - 9. What are the prime factors of o(2)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -2554, 5, -255 in descending order.\nAnswer: 5, -17, -255, -2554","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-74)\/(-1665))\/(3\/(-5)).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.468742 and 4.\nAnswer: 1.874968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 151 (b) -2\/5 (c) 188\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 - 33*v + 119. Let h be b(29). Let n(j) = -10*j - 40*j**3 - 5 + 76*j**3 - 37*j**h - 10*j**2. Determine n(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 166324\/5742939 - -2\/83231. Is v > -0.219?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2110612 divided by -172.\nAnswer: 12271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1655, 3326, 4997, 6668, 8339?\n\"Answer: 1671*s - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10208 = -36*b + 3*b - 25*b. What is the highest common factor of 2656 and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-1)*(-3)\/(-8)*40\/(-510).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-39)\/(-18) - 2\/12. Solve 7*f = q*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 8 = 5*z, 173 = z + 171. What is the fourth smallest value in 0, b, -5, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 656 is divided by 289?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(-9) + 2\/3. Suppose w = v, -1 = 2*j - 3*v - 11. Let o(h) = h + 10. Is o(j) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 5*g + g + 3 + 0 - 4*g. Let n be m(-4). Let h = 3770\/3 + -1257. Which is the nearest to 3? (a) h (b) n (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -2*k**2 - 24*k - 42. Let f be o(-10). Let b(h) = -h**3 + h**2 + 2*h - 1. What is b(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 292 + 1248. Suppose -3*x = -f + 85, -4*f + 3*x + z = -0*f. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 6*w = 2*j - 48, -w = 4*j + 9 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2 = 0, j + f - 2533 = -329. List the prime factors of j.\nAnswer: 2, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -285 - -7bb?\nAnswer: 536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11844 - 11475. Does 25 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 16*g - 43. Let m(v) = -v**2 + 7*v - 6. Let j be m(5). Let y = j + 10. Solve 6*k - y = k + f, -g*f = -2*k + 3 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of 3\/2*n**4 + 20*n - 16 + 0*n**2 + 0*n**3. Differentiate o(s) wrt s.\nAnswer: 18*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1777303 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3112 (base 7) in base 3?\nAnswer: 1111021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4025*a + 21*a**2 + 4025*a.\nAnswer: 21*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1249.6755 rounded to the nearest 100?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 211012 (base 3) to base 13\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of r**2\/2 - 5*r - 2. Let o be b(10). Solve 0*w + 20 = o*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18406 = 2*d - 5*h, -80*d + 83*d + 5*h = 27609. List the prime factors of d.\nAnswer: 9203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.007865 * -0.09.\nAnswer: -0.00070785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1110020 + -1120122212?\nAnswer: -1122010002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07 times 18946?\nAnswer: -1326.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -44 in -1\/8, -2\/7, -10\/7, -0.1, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (1394\/3485)\/(60\/(-1350)*24*1)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1301962 or 0.1?\nAnswer: 1301962","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8 - 12\/10*5. Suppose 32 = o*v - 3*h, v - h - 14 = -0*h. Calculate the highest common divisor of v and 60.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2054971 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 - 20 = -5*j. Let c = 38 + -40. Does 12 divide c\/(-7) - 1648\/j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8147 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, -6260743 in decreasing order.\nAnswer: 3, 1, -6260743","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87508*m + 494 = 87492*m + 1502 for m.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3 + 5*k**2 + 6*k.\nAnswer: -k*(k - 6)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 6*g - 17*g - 16*g**2 - 7*g - 21*g + g**3 - 29 + 6*g. Give n(18).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jx when two letters picked without replacement from {m: 6, j: 12, x: 1}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*a = 69*a - 734435 + 51110. List the prime factors of a.\nAnswer: 3, 3037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 74*v - 1284. Let b be h(18). Solve 0 = -25*g + 13*g + b for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 7 = -m. Are 3 and m unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**2\/5 + 55116*o\/5 + 534664048\/5.\nAnswer: -4*(o - 20348)*(o + 6569)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2149995 = -2*j - 3*j. Suppose 0*f = -4*z - f + 10, -3*f + 2 = -2*z. Let s be (-1 - (2 + j)) + z. What is s rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*v = -174*v + 2009 - 25 for v.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oe when two letters picked without replacement from {k: 1, e: 1, o: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 2872?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/2 and 99\/40169788.\nAnswer: 40169788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g*g\/g**(-2\/5)*g*g)\/g*g)\/g)**(-33) assuming g is positive.\nAnswer: g**(-726\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 55\/4 of a microsecond?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1\/418 - -839\/1254. Which is the third smallest value? (a) 8\/3 (b) 1 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v + 5. Let c be u(-6). Let f be (c + 1)*2\/(-6). Solve 2*y - t = 8, f*t - 8 = 2*t for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (42*v - 91*v - 18*v - 66*v)*(3*v - v**3 - 3*v).\nAnswer: 133*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1609.09 * 1\nAnswer: -1609.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-18)*(-12)\/(-3)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -8, 0, -39 in ascending order.\nAnswer: -39, -8, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 729 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yj when two letters picked without replacement from {y: 7, j: 3, m: 9}?\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(2\/13)*n*n*n*n**3*((((n\/n**(-1))\/n*n*n)\/n)\/n)**(5\/8))\/((n**(-1)*n*n)\/(n**(-2\/5)\/n*n)*n**(-3)*n**5) assuming n is positive.\nAnswer: n**(2277\/520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(12))**2 + -4 - (sqrt(48) - (sqrt(48) - sqrt(48)*-5))*3.\nAnswer: 32 + 60*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(2\/7)\/(((u\/((u*u**(1\/51)*u*u)\/u)*u)\/u)\/u))\/((u*u\/(u\/(u\/u**(-25)*u*u)))\/(u*u**(1\/32))))**(-4\/25) assuming u is positive.\nAnswer: u**(293179\/71400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i - 3 - 2 - 7 - 5*i. Is 8 a factor of o(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p + 2 - 18. Factor -3*t**2 - 3*t**3 + 3*t**3 - 3*t**p + 6*t**2.\nAnswer: -3*t**2*(t - 1)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, -368 in increasing order.\nAnswer: -368, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4758700867.11 and -0.315?\nAnswer: 4758700866.795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 18.374.\nAnswer: -3.6748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78 = -2*h - 2*m - 100, -5*m = 9*h + 43 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 9 = 2*h. Let d(x) = 189*x + 1131. Let u be d(-6). Sort u, -4, 1, h in decreasing order.\nAnswer: h, 1, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*r + 24*r - 2*m - 720 = 0, -2*r - m = -1420. Is r a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + 5. Suppose 38*p - 33*p + 45 = 0. Let f = r - p. Calculate the highest common factor of f and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of -f**6\/10 - f**5\/20 - 59*f**3\/6 - 10*f**2. What is the first derivative of v(g) wrt g?\nAnswer: -36*g**2 - 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 2. Is 3 a factor of 12*(-1)\/(t + -5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12 - 4 - (1 - -5). Let s be (0 - 0) + (2 - 0). Solve -b + s = -2*h + 3*h, -b - 10 = -d*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n**2 - 271*n - 2850. What is m(-124)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 3*l**4 - 451811*l**3 - 1506061*l**2 - 1355461*l - 301214 = 0.\nAnswer: -2, -1, -1\/3, 150607","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*k + 13 = -38*k + 22*k + 8 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c - 20*c**3 + 27*c**3 + c.\nAnswer: 7*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34 is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -46 + 77. Suppose 103 = 3*w + u, u + d = w + 3*u. List the prime factors of w.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 7*c + 10. Suppose h = -2*r + 2, -c*r = -3*h + 11 - 5. Solve 0*b = h*d + 2*b - 4, 0 = d - 4*b - 7 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18096049 to the nearest integer?\nAnswer: 4254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 + 12*a + 1. Let x be u(-13). Suppose -4 + x = 10*f. Let i be 164\/42 + (f - 5). What is the third biggest value in 2\/3, i, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -16, -21, -40, -79, -144, -241, -376?\n\"Answer: -l**3 - l**2 + 5*l - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 5*q + 3. Suppose -3*d + 74 = -y, 2*d + 5*y - 91 = -19. Let a = -20 + d. Let n(l) = 4*l - l - 6*l + 2*l. Calculate a*n(c) + f(c).\nAnswer: -c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/34 - (-19760)\/12376?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 22491, 44962, 67431, 89898, 112363?\n\"Answer: -c**2 + 22474*c + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of -7*v**4\/20 + v**3\/2 + 3*v**2\/5 + 7*v. Determine p, given that d(p) = 0.\nAnswer: -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16275 - -16275.022913. What is p rounded to 3 dps?\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, -11, -5, -25, 89, 5.\nAnswer: -25, -11, -5, -1, 1, 5, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2 + (-3*(0 + 1 + (-2*sqrt(833) + sqrt(833) - sqrt(833)) + 2))**2).\nAnswer: -756*sqrt(17) + 30071","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 342 a factor of 41220918?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 5*d - 3*l + 2, 2*l - 17 = -3*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (-15)\/(-80))*16\/(-12)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 157 = -2*k, -2*k + 145 + 39 = -4*i. Suppose -3*b + 2*b - 4*x = -245, -5*b - 4*x = -1289. Calculate the remainder when b is divided by k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 82 - 7. What is the remainder when q is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 5*x**2 + 5*x - 1. Let t(i) = -11*i**2 - 10*i + 2. Let v(y) = 13*m(y) + 6*t(y). Let c be v(4). Let w be (11\/44)\/(4\/32). Solve 10 = -w*s - c*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 56 + -40. Calculate the common denominator of (2\/v)\/((-1)\/(-18)) and (45\/(-24) - 1)*-6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3073086431 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24479.99979687 + 24480. Round q to 6 dps.\nAnswer: 0.000203","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + i - 5*l = 5, -2*i - l + 3 = 0. Solve -2*q + 5*d = 3, 2*q - q - i = -3*d for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppsppppppspssppsppp. What is prob of picking 1 s and 3 p?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -6\/5 (b) 8 (c) 1 (d) -14\/55 (e) 2 (f) -2 (g) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 7 - 12 = 0, 5*z + 0*z = -a + 85 for z.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.9 (b) 1\/6 (c) 4438\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/(k**(-5)*k))\/k*k*k**3*(k**0)**20 assuming k is positive.\nAnswer: k**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 331*i**2 - 2 + 293*i**2 in the form n + a*i**2 + x*i and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -166714843\nAnswer: 833574215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 8, -0.2, 0.2, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 99.9 in 4, -60, -3, -4, 0.16, -0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 5*s = -19, 3*v - 14 = v + 4*s. Let q = -21 - -27. Suppose 0 = q*c - 3*c - 9. Calculate the highest common divisor of c and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(17) + -1 + (sqrt(187) + 3*sqrt(187) + sqrt(187))\/sqrt(11).\nAnswer: -1 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -233 (base 6) to base 5\nAnswer: -333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19397.\nAnswer: 7, 17, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, 5, -3, -2 in decreasing order.\nAnswer: 19, 5, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 66 and 2.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 + 2*d - 1. Let x be u(1). Suppose -v - v = -h + 3, 5*h + x*v = 39. Suppose 3*f - 140 = -2*f. What is the greatest common divisor of h and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -25*l**2 - 480*l + 290. Calculate w(-21).\nAnswer: -655","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -46 - -59. Suppose 0 = 9*c - 1 - 17. What is the third derivative of -2*q**6 - p*q**6 - 4*q**6 + 28*q**c wrt q?\nAnswer: -2280*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5128468 (base 9) in base 12?\nAnswer: abb122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-30)\/(-2) - (-2 - -3). Is 9 a factor of i*9\/(-12)*-2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -383.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 AM and 6:36 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -23 - (-63 + (6 - -34))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2649704?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20 + 25. Let d(s) = -s**3 - 4*s**2 + 4*s + 2. Let x(z) = 2*z**3 + 3*z**2 - 4*z - 1. Let b(k) = -3*d(k) - 2*x(k). Determine b(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -2*g**2\/3 - 218*g + 656\/3 = 0.\nAnswer: -328, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -76, 5, -4, 4, -2 in descending order.\nAnswer: 5, 4, -2, -4, -5, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135 is divided by 53?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*v + 15*v - 207 = -53*v for v.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -83 in -1\/3, 5\/9, -2\/7, -0.1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -2*k**4 - 30*k**3 - 54*k**2 + 486*k = 0.\nAnswer: -9, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 58067666?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5041657 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-3 + 3*sqrt(2)*4 + -2 + -4*(sqrt(2) + -1))**2.\nAnswer: -16*sqrt(2) + 131","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21737, 21737, 21747, 21773, 21821?\nAnswer: 21897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 656*w + 19816 = 31930 + 25278 for w.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 84012 by -11.\nAnswer: -84012\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -3*b - 48. Let j be u(-17). Suppose -2*a = 5*v - 51, a - j*v + 6*v = 28. Calculate the remainder when a is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, 6, -1, -2868 in decreasing order.\nAnswer: 6, 4, 2, -1, -2868","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 4*y**4 + 34696*y**3 + 208080*y**2 + 416096*y + 277376 = 0.\nAnswer: -8668, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 16 + (1 - 0 - 1). Let z = j + -10. What is the remainder when 23 is divided by z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 45\/2 of a litre?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 18\/12 - 286\/(-572)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 195118128 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 424 = 4*x - 7*v + 3*v, -3*x + 313 = -2*v. Suppose -3*r + 284 = x. What is the remainder when r is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5537 is divided by 554?\nAnswer: 551","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 101*o - 112*o + 143. Solve -10 = -o*v + 8*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8959 is divided by 2232.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 + 3*f**3 - 2 - 2*f - 15*f**3 + 3 - 109*f**3. Is k(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -11e5e + 7e?\nAnswer: -11dd0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 498*f**2 - 498*f**2 - 5*f**3 + (4 - 6 + 3)*(0*f**3 + 4*f**3 - 5*f**3) to the form d*f + l*f**3 + j + g*f**2 and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 10001101111 (base 2) to base 12\nAnswer: 7a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -334674 (base 10) to base 13.\nAnswer: -b9442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -11*c**2 - 10*c - 3. Let m(r) = 24*r - 15*r - 10*r - 1 - r**2. Let w(b) = -l(b) + 3*m(b). What is the second derivative of w(q) wrt q?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*p - 2*p, -p = 3*y - 20. Solve 0 = -2*o - y*a + 19, 4*o - 2*a - 1 = 1 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a. Let o(p) = -314*p**2 - 3*p - 9. Determine f(o(i)).\nAnswer: -314*i**2 - 3*i - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**1*y)**(-1\/79)\/((y**1*y*y)\/(y*y**(-6)))*(y*(y*(y**(6\/11)\/y)\/y)\/y*y*y**8)\/(y**0)**49 assuming y is positive.\nAnswer: y**(452\/869)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/8 + -1 - (-20514)\/8. Let f = -1831 + z. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -19? (a) 1 (b) -0.5 (c) 0.4 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 4*i - 1 + 6 = 0, 5*t = -2*i + 15. Suppose 3*p = 5*h + 326, 112 = p - 0*h - t*h. What is the remainder when p is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r*(r*(r*r**(-21))\/r)\/r)\/r)\/(r\/(r\/((r**(-9)*r*r)\/r))))\/((r\/(r\/r**(-9\/4)))\/(r*r*r**3*r)))**(14\/5) assuming r is positive.\nAnswer: r**(-133\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -26, -30, -36, -44, -54, -66, -80?\n\"Answer: -f**2 - f - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(((-1)\/3)\/(2\/(-9))). Suppose 0 = 7*g - h*g + 30. Does 4 divide 111\/g*-2 + 3\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -5*d**3 - 4*d**2 - 8*d - 3. Let m be b(-1). Suppose 5*r + 6 = -3*g, -4*g = 2*r - 2 - 4. Put -2, 4, g, m in descending order.\nAnswer: m, 4, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 0.001\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -4*n - 6. Let f be q(-3). Let i be (-18)\/(-27) - (-122)\/f. Let b be ((-40)\/(-12) + 0)*i. What is the greatest common factor of 14 and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111010101001 - 10?\nAnswer: -1111010101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9716437.\nAnswer: 53, 183329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 276, 547, 818, 1089, 1360, 1631?\n\"Answer: 271*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/15 and 17\/10599.\nAnswer: 52995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3729*i + 1765*i + 2320*i + 3054*i.\nAnswer: 10868*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12775 and 50?\nAnswer: 25550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**4)**(-41)*t**(-9\/4)*t**2 assuming t is positive.\nAnswer: t**(-821\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10070.\nAnswer: 2, 5, 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.6618 times 4?\nAnswer: -94.6472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2213.3000010291 + -2213.3. Round d to seven dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 + 6*x**2 - 7*x + 2. Let y be 7\/((-6)\/2 - -2). Let w be l(y). Suppose -11*b + 14*b = 6. Solve b*i + 9 = -k + 3*i, 3*k - w*i = -23 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85 = 5*v - 15. Suppose v = 2*x - 2. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142 is divided by 23?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/5)\/b)**(-16)*b**(1\/4)\/(b\/(b**(3\/5)*b)) assuming b is positive.\nAnswer: b**(209\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1\/2 (b) 41 (c) 3\/28 (d) 410\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.6 - -2.4. Let p = -133.8 - 11.2. Let k = p - -135. Which is the closest to k? (a) i (b) -5 (c) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 PM and 10:15 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 23*j - 6. Let o(r) = -1495*r + 391. Calculate -6*o(u) - 391*w(u).\nAnswer: -23*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 10*b**2 + 22*b + 3. Let p be (-4)\/(-2) - (-8 - -16). What is the smallest common multiple of 189 and i(p)?\nAnswer: 2079","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20850 - -44524. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000209975 to six decimal places.\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -325 in -3\/2, -3, -0.4, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -848*h + 1695*h - 852*h.\nAnswer: -5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = 45*o + 1791, 9 - 11 = 3*n + 7 for o.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*z**2 - 8*z**2 + 6*z**2)*(3*z + 4*z - z)*(3*z**2 - 3*z**2 + 4*z**2).\nAnswer: -552*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + 1 - (-2 - 0). Let y be v\/(-20) - 33\/(-15). Factor r**y + 2*r + 0*r**2 - 1 - 2*r**2.\nAnswer: -(r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 + -9. Let i be -3*5\/(-30)*164. Let o = i - 80. Solve -m = -o*j - 2, m - j = -k*j - 16 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 5 (b) 0.13 (c) 0.09821 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 79 - 89 = -4*u, 5*u - 45 = 4*y for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 + 6*y**2 + 8*y - 1. Let h be t(7). Suppose z - 25 = h*z - 2*o, 16 = -2*z + 2*o. Let f(c) = -c. Determine f(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 + -3 + (-77)\/7 + -14?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - -3a9a?\nAnswer: 3a98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 34744085*u**4 + 14*u**2 + 1272773*u - 2 wrt u.\nAnswer: 833858040*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2833 is divided by 855.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13670930 and 751150.\nAnswer: 68354650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.025 - -23.375. Let x = l - 23. Which is the second smallest value? (a) -0.2 (b) -8 (c) x (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-93 - 2) + 37 + 24 + -6?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that z**5\/3 + 193*z**4\/3 + 4534*z**3\/3 + 10784*z**2 + 16032*z = 0.\nAnswer: -167, -12, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 729?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*b + 130 = -110 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*h + 23*h + 153 = 0. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.51533904 to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, m: 1, x: 1, w: 2, l: 1}. What is prob of picking 1 c and 2 w?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + 1*(sqrt(117) - 2*sqrt(117)))\/(sqrt(225) - (sqrt(225) + (sqrt(225)*2 - sqrt(225)))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 10:48 PM?\nAnswer: 3:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -1 + 0 + 8 + -1 + 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1011\/(-9099)*9\/(-95)?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.037*3813\nAnswer: 141.081","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 82021 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18\/1381 - 97781\/20715. Calculate the common denominator of m and 1 - 2 - (-2)\/(-27).\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6197, -6191, -6185, -6179?\nAnswer: -6173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -8*f - 1. Let p be (-108)\/(-84) + 4\/(-14). Let w be g(p). Let m(y) = -5*y - 20. List the prime factors of m(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21656659 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 12b + 3?\nAnswer: 12e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, k: 1, c: 1, r: 1}. Give prob of picking 1 c and 1 k.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**4\/3 + 32*s**3 + 167*s**2 + 404*s\/3.\nAnswer: -s*(s - 101)*(s + 1)*(s + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17807630 - -44640737. Let i = -92448367 + d. What is i rounded to the nearest one million?\nAnswer: -30000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 891 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14355 - -14589. Let x = 38 - 12. What is the greatest common factor of x and f?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 5 = -k, -2*f + 5*k = -89. Let d = -27 + f. Suppose 3*g - 428 + 77 = 0. What is the remainder when g is divided by d?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2603, -2722, -2841, -2960, -3079?\n\"Answer: -119*j - 2484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -3*f + 5. Let r be (-1)\/f*-19 - (-42)\/168. Solve 5*h + 4*i + 15 = -0*i, -i - r = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.01 - -0.29. Let y = -4176.8 - -4177. Sort y, 0.05, c.\nAnswer: 0.05, y, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 + 20. Solve 2*l = -j*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1755, 7092, 16021, 28566, 44751?\n\"Answer: 4*v**3 + 1772*v**2 - 7*v - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 227*c**4 + 39*c**2 + 51*c**2 - 2*c**3 - 238*c**4 - 85*c**2 to q + o*c**3 + m*c + u*c**4 + w*c**2 and give u.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 427.8907ns to seconds.\nAnswer: 0.0000004278907","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 - 12*l**2 - 14*l - 22 + l**2 - 12 + l**2. What is the remainder when y(-9) is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 364? (a) 3 (b) -3 (c) 0.4 (d) -0.2 (e) 6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 666?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 28243 = -z, -2*c + 3*c - 4*z - 7057 = 0. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1\/3, 2, -56 in increasing order.\nAnswer: -56, -5, 1\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2\/3, 56, -5 in descending order.\nAnswer: 56, 2\/3, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 56245030*g**3 + 65358452*g**2 wrt g?\nAnswer: 337470180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 - -18. Suppose -15 = -n*z - 1. Suppose p + c - 5 = -1, 0 = -4*p - z*c + 12. What is the highest common factor of 10 and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, h: 3, i: 1, k: 1, g: 3, x: 9}. Give prob of picking 2 h and 2 g.\nAnswer: 3\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7362816 is divided by 41?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -28*n - 2. What is g(2)?\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 28\/699, -116, -4, 2\/3, 0.5 in ascending order.\nAnswer: -116, -4, 28\/699, 0.5, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lfffjffrfrfjkrffr. Give prob of sequence lf.\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 2:18 PM?\nAnswer: 1:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -10 + 16*i**2 + 14*i**3 - 2 + 5*i - 7 - 13*i**3. Let s be h(-14). Let u = s + -2421\/8. Are u and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13647157 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 50 and 75?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 136498 divided by -491.\nAnswer: -278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -70*(248\/40 - 126\/21)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -101.197.\nAnswer: -50.5985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -201, -678, -1411, -2406, -3669, -5206, -7023, -9126?\nAnswer: -11521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.2 + -0.4. Let j = -1 - -0.9. Let r = j - v. Which is greater: r or 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1\/3)*i)**(-16))**(-2)*i*i**2*i*i*i\/i**4*i**(-2\/7)*i**(-2) assuming i is positive.\nAnswer: i**(442\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 12063 to the power of 1\/2, to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -210 (base 11) in base 6?\nAnswer: -1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -10 (b) -28 (c) 0.5 (d) -10\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -527*l**3 + 160*l**2 - 16*l + 5. Let i(w) = 176*w**3 - 54*w**2 + 6*w - 2. Let k(d) = -8*i(d) - 3*r(d). What is the third derivative of k(b) wrt b?\nAnswer: 1038","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1834, -14640, -49404, -117106, -228726, -395244?\nAnswer: -627640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -15 - (-4 + 1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2241 + -4?\nAnswer: -2300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -8082.384\nAnswer: -8086.384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1772*f**5 - 1918*f?\nAnswer: 35440*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2004 - -1661. What is the nearest to k in -4, 0.5, 2\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2 and 118.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 3*h + 3730, h + 1860 + 364 = -3*t. Let n = -1320165\/8 + 331523\/2. Let y = n + t. Find the common denominator of y and 10\/3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 25 in -4\/3, 3\/299, -2, 0, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 63?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 256183 is divided by 127825?\nAnswer: 533","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 21*p + 1. Let g be x(1). Suppose 0 = -r + 2*r - 11. Let n = g - r. Calculate the least common multiple of 4 and n.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 + -10.7. Put i, -0.5, 1\/2, -2\/23 in descending order.\nAnswer: 1\/2, i, -2\/23, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twelve sevenths of a week in days?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2503292 is divided by 208606?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -3*y + 2*c, -2*c + 4*c - 5 = -y. Solve -5*t - y = 6 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 105 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.69 - -0.5495. Which is bigger: -1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 544 + -352. Is u a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -5*w**2 - 2. Let p(u) = -9*u**2 - 7*u + 9. Let h(f) = -2*f**2 - f + 1. Let x(q) = -14*h(q) + 2*p(q). Let t = 9 - 5. Determine t*x(d) + 7*z(d).\nAnswer: 5*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/(-63))\/((-37)\/(10619\/(-533))).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.9772758 rounded to 0 decimal places?\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 375 divide 5845518?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 258386 times 43.2\nAnswer: 11162275.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*k - 23*k**2 + 24*k**2 + 18*k)*(-62 + 11*k + 62).\nAnswer: 11*k**3 + 132*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -91571774599 + -4.\nAnswer: -91571774603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (7\/((-112)\/6))\/((-1408)\/2560 + 6\/20). Factor 0 + 6*g + j*g**3 + 6*g**2.\nAnswer: 3*g*(g + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9288, 8508, 7726, 6942, 6156, 5368, 4578?\nAnswer: 3786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.7873164 minutes?\nAnswer: 47238984","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 16350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -270*v + 522*v - 275*v.\nAnswer: -23*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -4*1.87906\nAnswer: -7.51624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(180) + 2 + sqrt(180) + sqrt(180) + 0 + (5 + 3 + sqrt(180) - sqrt(180)) + -4)*2*6)**2.\nAnswer: 31104*sqrt(5) + 238468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 499516128*l**3*p**3*v**3 + 68*l**3*p**3*v**2 + 2*l**3*p**3*v - 4*l**3*v**2 + 114*l*p wrt v.\nAnswer: 2997096768*l**3*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.081 and -5?\nAnswer: -0.405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 - 17*r**2 + 18*r + 2. Let l be g(-18). Solve -2*b - 3*s + l = -2, -32 = 3*b - 5*s for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 79*l - 29. Let r(a) = -30*a + 10. Let v(g) = -8*r(g) - 3*t(g). Give v(5).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*o = -38*o + 4*v - 3525, 0 = -v - 5. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 3*q**2 - q + 2. Let j(a) = a**2 + 14*a - 8. Let o be j(-14). Let b(t) = 5 + 7*t**2 + 2*t**2 + 991*t - 994*t. Give o*w(s) + 3*b(s).\nAnswer: 3*s**2 - s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -5 + 2*j + 4*j - j. Let i(u) be the second derivative of -u**3 + 3*u**2 + 2*u. Suppose 2*y - 39 + 82 = 5*p, -2*p + 2 = 3*y. Give y*v(r) - 3*i(r).\nAnswer: -2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1074062 is divided by 214?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*f + g, 0 = -2*f - f + 5*g + 10. Let s be (-5)\/(-10)*(156 - f). Let d = s + -48. Is d a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4347363 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 0, -7, 1 in descending order.\nAnswer: 1, 0, -1, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1168 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3210 + 3797 - 5953)*(5*g + 2*g + 0*g).\nAnswer: 7378*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d9d036b - 8?\nAnswer: d9d0363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 15) to base 3\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1820591\/44 less than -41378?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-588)\/840)\/(2\/8*32\/16)\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 4*r + 8 = 0. Let a be r\/10 + (-44)\/(-10). What is the third derivative of -3*u**2 + a*u**2 + u**5 + u**5 wrt u?\nAnswer: 120*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 63 = -3*w, -3*w + 93 = 2*y - 0*w. What is the remainder when y is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/394632 and -25\/28.\nAnswer: 394632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 PM and 3:10 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.19 - 21.19. Let f = 23 + w. Put f, -4\/7, -1\/4 in descending order.\nAnswer: f, -1\/4, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 9:19 PM?\nAnswer: 6:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, i: 3, o: 2, t: 2}. What is prob of sequence oot?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130*a + 84 - 1 = -177. Let h be (3\/4)\/((-60)\/(-8)). Solve h*b**3 - 1\/10*b**5 + 0*b**a + 0*b + 0 + 0*b**4 = 0 for b.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**11*k*k)\/k**(-8\/5)*k**(-7)\/(k*k\/(k*k*k**10*k*k*k)))**20)**(9\/5) assuming k is positive.\nAnswer: k**(3708\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -13*y + 1931. Let j = 56 - 56. Is l(j) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 + 10*m + 16. Suppose -256 = 18*z - 22*z. Calculate the remainder when z is divided by o(9).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -23\/7 (b) -1\/4 (c) -0.2 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/12636 and -89\/108.\nAnswer: 12636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 + 21*j**2 - j + 7. What is w(21)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of 2\/9*a**4 + a + 1\/5*a**6 + 0*a**2 + 0 + 2\/5*a**5 + 0*a**3. What is g in u(g) = 0?\nAnswer: -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c. Let x be q(4). Let g be 18*x*(-3)\/9. Suppose -v = -3*v + g. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2\/(-2) + (118629\/1911 - 1\/13) is divided by 49?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26055 divided by 9.\nAnswer: 2895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*v + 5*v + 3*v)*(16 + 7 - 6).\nAnswer: 34*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -100 + 190. What is the highest common factor of r and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 285, -584, -1463, -2358, -3275?\n\"Answer: -p**3 + p**2 - 865*p + 1150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 1:03 PM?\nAnswer: 4:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56)\/sqrt(4)*3)\/((sqrt(84)\/sqrt(2) + sqrt(42))\/sqrt(6)) + -2*(-2*(1 + sqrt(2)))**2*-2.\nAnswer: 67*sqrt(2)\/2 + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -201, -1\/4, 5\/4, 8011 in descending order.\nAnswer: 8011, 5\/4, -1\/4, -1, -201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 2573.1 to the nearest 10.\nAnswer: 2570","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 6. What is the common denominator of 85\/2 and (-49)\/h - (5 - 2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -143*q**3 - 22*q - 20*q + 42*q + 269*q**3 - 131*q**3.\nAnswer: -5*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(22)\/(sqrt(50) + sqrt(2) - sqrt(2) - sqrt(2)).\nAnswer: sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of 0*w**3 + 20*w + 0*w**2 + 0 + 1\/6*w**4. Let c(l) = 7*l. Let m(h) = h. Let y(t) = -2*c(t) + 18*m(t). Determine y(o(k)).\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 260*q**3 - q + 4*q - 252*q**3 + 515*q**3 + 10*q.\nAnswer: 3*q**3 + 13*q + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 12*i + 14*i = -28, i = -5*s + 16. Suppose 5*v - 15 = 0, 0*m - 2*m - s*v = -652. What is the hundreds digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 + 5*k**2 + 3. Let a be c(5). Suppose a*u - 63 = -0*u. What are the prime factors of u?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -44, 4, -73, -2, 10 in ascending order.\nAnswer: -73, -44, -2, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 + 21. Suppose -4*s - 12 = -4*y, 2*y = s - 2*y + 12. Let a be j(s). Solve -3*u + a - 24 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m - 1. Let w(v) = -2*v - 1. Let o = -15 + 12. Give o*r(q) + 2*w(q).\nAnswer: -q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30518954.\nAnswer: 2, 1531, 9967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1)\/s)**(-1\/16)\/(s**0)**45 assuming s is positive.\nAnswer: s**(1\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -10*m + 4*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 229140?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 1*(sqrt(684) + sqrt(19)).\nAnswer: 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 + 8*q - 19. Calculate c(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-8282)\/(-5) - 36\/(-60)) + 0 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 2 - 1)*(-3*f**4 - 3*f**4 + 2*f**4) to the form d*f**3 + n*f**4 + t*f**2 + o + k*f and give n.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = -3*q + 3, r + 0*r + 2*q = -5 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(1\/2))**2*o**(-4\/3)*o\/((o*o**(6\/5))\/o) assuming o is positive.\nAnswer: o**(22\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of g**5 + 3*g**4 + 686*g**2.\nAnswer: 60*g**2 + 72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -46\/2872697 or 1?\nAnswer: -46\/2872697","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 5*w - 7. Calculate the remainder when 6 is divided by w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 119233, 119419, 119605, 119791, 119977?\n\"Answer: 186*y + 119047","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 67813777 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -20, -2*q + 4*x - 298945 = -5*q. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + -3 + 0 + (sqrt(931) - sqrt(931)*1) - (-2*sqrt(931)*-3 - ((2 + sqrt(931) - sqrt(931)) + 0 + sqrt(931)))) + -2)**2.\nAnswer: 420*sqrt(19) + 23311","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 180 and 140.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 AM and 3:40 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t - 7. Let v be a(8). Let w be v - (-59593)\/(-10)*1. Let b = w - -5967. Find the common denominator of b and 9\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 83884320?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1643218?\nAnswer: 2, 61, 13469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000306818 to 5 dps.\nAnswer: -0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 5*c = -10*c + 144, 108 = 3*z + 2*c. Suppose v = s - 2*s - 13, -z = 2*v + 4*s. What is the units digit of 6\/v - 107\/(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 2*x + 2*v - 0*v, -x = 3*v - 17. What is the second derivative of -5*l**x + 16*l + 22 - 8*l**5 - 22 wrt l?\nAnswer: -260*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/30 and -9\/1766975.\nAnswer: 10601850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 10 = -2*g. Let y be (2 + g)*-1 - 1. Solve -y*t = -t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*n**2 + 10*n**2 + 4*n**2 + (2 + 3 - 6)*(-6*n**2 + 2*n**2 + 2*n**2).\nAnswer: 8*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-26)\/65)\/((-7)\/35)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/17*(-3)\/(-18)*-6?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -9, -1\/2 in increasing order.\nAnswer: -9, -1\/2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -2*p**2\/7 - 6050*p\/7 - 3822548\/7 = 0.\nAnswer: -2126, -899","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-2640)\/4950*6\/(-4)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 6*z = 72. Let a = z - -21. Let r(l) = l**3 - 2*l**2 - 2*l - 2. Let p be r(3). Put p, a, 4 in increasing order.\nAnswer: a, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85 is divided by 27.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/10 of a centimeter?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 4 = 0, 0 = -0*o + 4*o + 4*h - 100. Let v(q) = -69 - o*q**2 - 6*q + 61 + 28*q**2. Give v(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (4 - 3)\/((-8)\/(-2552)) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 65 - 85 = -5*v, -2*o + 5*v - 15 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(132)*3 + sqrt(132) + (2*sqrt(132) + sqrt(132) - sqrt(132))*-2)*4)\/((-1*1*sqrt(12) + sqrt(12) - (sqrt(24)*-1)\/sqrt(2))*5) + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 5*r - 33, 4*h = h - 9. What is the remainder when 39 is divided by (3 - 244\/(-14)) + r\/(-21)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 149959 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 984*q + 198776. Give c(-202).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 206 > 203?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -3 + (-14 - -29) - (6 - 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0*(-2 - (-12)\/4). Suppose a + s*a - 10 = 0. Is a at most as big as 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 less than -4188?\nAnswer: -4606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**7\/f)\/(f\/f**(-4)))\/(f\/f**(2\/7))**(1\/79) assuming f is positive.\nAnswer: f**(548\/553)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 17 + 25 - 185*c - 3*c**2 - 61 + 19 in the form y*c + f*c**2 + p and give y.\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 + 15*j**2 + 11*j - 15. Let v be ((-4)\/(-3))\/(12\/(-126)). Let l(h) = -h**2 - 9*h + 1. What is the remainder when u(v) is divided by l(-7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*j**2 - 2 + 2 - 164*j**2 - 57*j**2.\nAnswer: -239*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -331302111 (base 5) to base 6\nAnswer: -50403243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(7) + 0 + sqrt(7) + sqrt(7) - sqrt(7) - (sqrt(175) + 3).\nAnswer: -2*sqrt(7) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -70*((-14)\/(-10))\/(1351\/(-1930))?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12402, 12081, 11546, 10797?\nAnswer: 9834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16706607.\nAnswer: 3, 53, 179, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 686310115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 22961 times 30\nAnswer: 688830","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1152987 divided by -1?\nAnswer: 1152987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 196 and 28472577?\nAnswer: 113890308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - 66\/8) + 8. Suppose -1 - 2 = s, g - s = 8. Let z(n) = -n**3 + 5*n**2 - 5. Let j be z(g). Sort j, 2\/5, k in ascending order.\nAnswer: j, k, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -0 - 14. Let y = j + 2. Does 9 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 419 = -l + 2134. Does 15 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3628937?\nAnswer: 13, 109, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5)\/(-30) - (-1133)\/225. Let g = d + -11\/75. What is the common denominator of (-2 - 1)*2\/8 and g?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 45\/193?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 984 + -44282\/45. Let k = h - -23\/180. Are k and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -229*w - 49 + 5*w**3 - 4*w**3 - 33*w**2 + 196*w. Determine q(34).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 200042764381 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -9 + (-1 - -7) + -14.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2080)\/(-13600)*(-2)\/(-13)?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -24*d**2 - 7*d + 1. Let j(z) = 26*z**2 + 8*z - 2. Let m(u) = 2*c(u) + 3*j(u). Is 29 a factor of m(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 13*q**2. Let y(v) = -38*v + 391. What is y(z(w))?\nAnswer: -494*w**2 + 391","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -45 - -48. Suppose 2*k = 4*s, -x*k - 2*k = 3*s. Suppose -5*n + 460 - 160 = k. 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: Simplify p**(-4\/13)*p*p\/(p**29*p*p) assuming p is positive.\nAnswer: p**(-381\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(200))**2 - sqrt(100)\/(sqrt(2) - sqrt(32)).\nAnswer: 5*sqrt(2)\/3 + 3200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00062433 to four dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*n**3 + 0*n**2 + 0*n**2)*(n - 1 + 1 + (-4 + 4 - 2)*(2*n + 0*n - n))*(70 + 100 - 62) to z*n + c*n**3 + q + y*n**2 + h*n**4 and give h.\nAnswer: 864","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1de3 (base 16) to base 9.\nAnswer: -11441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 321 + 10*t + 2*t**2 - 3*t**2 - 276. Let j be q(13). Solve 0 = -o + j - 2 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 147, -4.\nAnswer: -4, -2\/5, 147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -0*f + 2*f + 4, -4*b + 16 = -3*f. Solve 4*q - 4*j - 11 - 9 = f, 2*j - 15 = -3*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 2*k + 10, 4*k - 3 = 17. Suppose t = 5*p + 2*h + h - 293, -2*p + 113 = -3*h. List the prime factors of p.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + p**2 + (2*p - 6*p + 5*p)*(-2*p - 2*p + 5*p) + 2*p**2 - 1 + 1 - p + 2*p**2 + p + (8*p - 22*p - 40*p)*(p + p + 0*p).\nAnswer: -102*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 o when two letters picked without replacement from {y: 8, o: 5}?\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(140)\/sqrt(64))\/sqrt(7) + 4 + sqrt(245) + 2)**2.\nAnswer: 87*sqrt(5) + 4781\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 19861*a + 238321. Determine h(-12).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75165?\nAnswer: 3, 5, 5011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.58 + -1.28. Which is the nearest to r? (a) 2\/3 (b) 1\/9 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17009*o**2 + 2*o - 2*o + 2189*o**2 - 2403*o**2.\nAnswer: -17223*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of 3000001*o**2\/2 + 2*o + 4. Let r be k(-2). What is r rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1765 less than -1104?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -5 (b) 0 (c) -7 (d) -1\/4 (e) -0.1 (f) -367\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 3*c. Let i(g) = -g**3 + 7*g**2 + 8*g. Let d be i(8). Suppose 5*q + d*q - 15 = 0. Solve 4*h - 4*v = -c*h - 28, -2*v = -q*h - 19 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 428604 to the nearest integer?\nAnswer: 655","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -15, 2*t + 25 = m + t. Suppose -m = 4*p + p. Is p\/2 + 14 + -2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-91)\/13 - (2 - 69). Factor 4*q**4 + 68*q**2 - 9 + j*q**3 - 32*q**3 + 68*q + 33.\nAnswer: 4*(q + 1)**2*(q + 2)*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 24758, -3, -1 in increasing order.\nAnswer: -3, -1, 5, 24758","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4505*f**3 + 1858*f**3 - 2167*f**3.\nAnswer: -4814*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 534283 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of b**5\/10 + 3*b**4 + 59*b**3\/3 - 78*b**2 + 2*b + 208. Factor z(l).\nAnswer: 2*(l - 1)*(l + 6)*(l + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -14*y**3 - 2. Let q = -592 + 583. Let r(l) = -55*l**3 - l**2 - 9. Calculate q*m(d) + 2*r(d).\nAnswer: 16*d**3 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 37399 to the power of 1\/2, to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86600 is divided by 21003?\nAnswer: 2588","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 3248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 8*r**2 + 92*r - 18. Give x(-11).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + 66. What are the prime factors of q?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/((-108)\/222))\/(203\/(-609)).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.007003164 rounded to 3 decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 + 5*r**2 - 5*r - 4. What is the units digit of k(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 - -4 - ((1045\/(-57))\/(-11) + 2). Which is the fifth smallest value? (a) 2 (b) -0.4 (c) 3 (d) 2.62 (e) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 252529*l - 252510*l = 323 for l.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 401.7112t to nanograms.\nAnswer: 401711200000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3692*z - 266649 = -1797*z + 84647 for z.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -3.7 (c) -34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -208.08 + 201. Let q = -7 - j. Round q to two dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, 1, -5, 8, 43 in ascending order.\nAnswer: -5, -4, 0, 1, 8, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*w - 6*w + 4*w)*(-2 + 6 - 2) + 7186 - 7186 + 656*w to s*w + b and give s.\nAnswer: 660","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of -1\/27*a**6 - 62 + 0*a - 1\/3*a**2 - 4\/27*a**3 + 2\/9*a**4 + 4\/45*a**5. Suppose d(r) = 0. What is r?\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -6 + (-8 - -3 - -11). Suppose t = -185*n + 182*n + 765. What are the prime factors of n?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.04 + 0.155. Let j = 0.005 + y. Do j and -15 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005403 rounded to six dps?\nAnswer: -0.000054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + 1. What is the second derivative of 2*h**u + 2*h**3 - 2*h**2 + 0*h**2 - 2*h wrt h?\nAnswer: 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -95*p - 3. Let j(n) = -197*n - 4. Determine 2*j(q) - 5*l(q).\nAnswer: 81*q + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -0.5 (b) 19\/100 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10171406*z + 10171406*z + 15*z**3.\nAnswer: 15*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-8))\/((-38)\/76)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 306610 + -174909. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 - -13. Suppose -c = c - 4, 0 = 4*f + 3*c - 10. Let l be (d\/3)\/(f\/285). Round l to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 3*z + 10 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51060 divided by 460.\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16335*m**3 + 1796*m - 2.\nAnswer: -98010*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*z - 5*f + 2265 - 2209, 2*f = 4*z - 16 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s, 0*a + 5 = -5*a - 4*s. Let v(t) = -2*t**3 + t**2 + t + 1. Let d be v(a). Find the first derivative of -f**d - 1 + f**3 + 2*f**3 wrt f.\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74 divided by -1?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*s + 38 = 2 - 300 for s.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -3*s**2 - 18*s + 19. Let z(t) = 2*t**2 + 9*t - 9. Let l(j) = 2*h(j) + 5*z(j). Let n(x) = -x**2 - 3*x + 2. Determine 2*l(u) + 7*n(u).\nAnswer: u**2 - 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add 10338 and -0.0202889072.\nAnswer: 10337.9797110928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 5, u: 7}. What is prob of sequence uupu?\nAnswer: 35\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 32 = -13*h + 16*h, 2*b + 14 = h. Calculate the highest common factor of 1300 and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l + 5 + 7*l - 6*l - 2*l + 183.\nAnswer: 2*l + 188","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 8) to base 16\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (64\/128)\/((-4)\/(-693304)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (44 - 55 - (-1 - -7)) + 3\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/26*(-464)\/348.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1703928 is divided by 5011.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 - 28*l**2 - 72*l - 120. List the prime factors of j(-33).\nAnswer: 3, 17, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 10:58 PM?\nAnswer: 5:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-28)\/15 - -3*(-6)\/(-90). Which is the smallest value? (a) d (b) -0.4 (c) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/6 - 2\/18. Let s be 12\/48 - (-6)\/8. Which is the closest to 0? (a) s (b) -5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 3054*y**3 + 167*y + 1524*y**3 - 915*y + 1529*y**3.\nAnswer: -y**3 - 748*y + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 s when two letters picked without replacement from {d: 1, s: 2, g: 6, r: 2, h: 1}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -15*a - 2. What is the units digit of c(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.492 and -980303804487.\nAnswer: -980303804487.492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.07, -198, -0.87, 58 in decreasing order.\nAnswer: 58, -0.07, -0.87, -198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1811344 is divided by 905165.\nAnswer: 1014","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 350503 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-421)\/(-5) - 144\/120 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 117783*v**3 + 117782*v**3 - 235567*v**3.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6568207 is divided by 1021?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-11\/2)*q*q**(1\/79))**4 assuming q is positive.\nAnswer: q**(-1418\/79)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in five sixths of a day?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 93034.8 micrometers?\nAnswer: 0.0000930348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a factor of 22680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n - 7. Let s be x(5). Suppose 16 = s*f - 2. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 + 3)*1 - -2. Let d(r) = 11*r - 2*r**2 + r**3 - 6*r - 5*r - 5 + r. What are the prime factors of d(l)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16518.8 - -16519. What is the biggest value in -20, 26\/7, 1, x?\nAnswer: 26\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 92.98 + -93. Let u = 0.86 - b. Let x = -0.87941 + u. Round x to four dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5319346166454 - -0.04\nAnswer: 5319346166454.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 585153 is divided by 292038.\nAnswer: 1077","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + -5. Let p = -1.274 - 0.006. Let f = p + 1.38. Which is the second biggest value? (a) l (b) -3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 130940 = -5*b, -4*m - 104752 = 9*b - 13*b. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2241 divide 96405977?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (16 + 1071\/42)*-2. Is -108 greater than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 25 = 173. Let r be -1 + 1 - (4 - 2). What is the remainder when v is divided by (-20)\/(-1) - (-1 - r)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 5472?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -8*k - 8. Let t be a(-8). Let n be 4\/(t\/6) + 85\/(-35). Let f be 14\/(-63) - n\/9. Is f at most -1\/198?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5873 + 5873.5. What is the closest to -2\/5 in w, 4, -0.22?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 4*l - 2. Suppose 0 = 2*k, q + 9 = 3*k + 11. Suppose -5*j + 10 = q*n - 33, -4*j - 3*n + 40 = 0. Calculate w(j).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4.31 and 0.09529?\nAnswer: 4.40529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 3 - 3 - (-12 + 16).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 440 and 1496.\nAnswer: 7480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 - 6*f**2 - 3*f - 6. Let u be d(-8). Let n = u + -96. What is the remainder when n is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 337*y - 277. Calculate j(1).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9922659, 9922660, 9922651, 9922626, 9922579, 9922504, 9922395, 9922246?\nAnswer: 9922051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -14045 + 1441113?\nAnswer: 1424035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.042 - 0.358. Which is the biggest value? (a) m (b) -5 (c) 4 (d) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f**3 + 0 + 0 + (1 + 1 - 1)*(f**3 + 1 - 1) + (-2*f - 4*f + 0*f)*(4*f**2 - 6*f**2 + f**2) + 3*f**2 + 5 + 2*f**3 - 5.\nAnswer: 7*f**3 + 3*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2975227 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -941391.05 from 0.4.\nAnswer: 941391.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*r + 271 - 34*r + 15*r + 10*r to u + q*r and give u.\nAnswer: 271","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a. Let i(c) be the third derivative of c**4\/12 + 4*c**2. Calculate w(i(j)).\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + -5.4. Suppose 7*w = -3*w + 20. What is the closest to w in 1\/8, h, 0.2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 2*r - 300872, 406217 = 4*b + 3*r - 797266. What is b rounded to the nearest one thousand?\nAnswer: 301000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 AM and 12:29 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.13, 2, -5, 5, 126, 6\/7?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8359 - 8356. Let u(w) be the third derivative of -3\/170*w**5 - 1\/170*w**6 + 0 + 0*w**x - 40*w**2 + 0*w**4 - 1\/1785*w**7 + 0*w. Factor u(o).\nAnswer: -2*o**2*(o + 3)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 23352.\nAnswer: 70056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20042 is divided by 5008?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -14, 2\/3, 6\/133, 5?\nAnswer: 6\/133","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(350)*3)\/sqrt(10) - (sqrt(385)*-2)\/sqrt(11))\/(-2*(-2*(sqrt(245) + sqrt(245)*1 + sqrt(245) + sqrt(245)) + sqrt(245))) + 3.\nAnswer: 5*sqrt(7)\/98 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 6 = -4*m - 3, 6 = 2*m - 2*v. Suppose m*j + 3*k = 4*j - 20, -j - 2*k - 4 = 0. Find the third derivative of 4*b**2 - b**j - 3*b**2 + 2*b**4 wrt b.\nAnswer: 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/24 and (-26)\/(572\/154) - 1*71795\/(-10236).\nAnswer: 20472","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 34571?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10889397149 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2. Let w(x) = x**2. Let g be (-3)\/(-6)*0*(-3)\/(-6). Let v be w(g). Let d(f) = 11*f + 4*f - 3*f + v*f. Give i(d(p)).\nAnswer: 144*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*((i\/(i\/(i*i**7)))\/i)\/i)\/i)\/i**(-6))\/((i*i**(-10)*i)\/i*i\/i**(-5)) assuming i is positive.\nAnswer: i**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 317767 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.747 - 0.133. Let w = 1.88 + t. Let n be (1 - 12\/10)\/1. Which is the nearest to 0.2? (a) 2\/15 (b) w (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*y**2 - 6*y**2 - 5*y**2 - 2*y**2.\nAnswer: -27*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17632?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7031933 = -246*v + 500833. Is v a multiple of 177?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 11:27 PM?\nAnswer: 10:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q + 6. Let k be m(-4). Let r be (-15 - 2)*(-13)\/1. Suppose k*x - 2*n - 112 = 0, -n = 4*x - 2*n - r. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 30.9 from -6220.473.\nAnswer: -6251.373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 207624\/14629 or 13?\nAnswer: 207624\/14629","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6*(4 + 55\/(-15)). Solve 3*m + 0*m = -4*l + 6, -p*m = 3*l - 5 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 - 62 = -u. Let g(x) = -x**3 - 2*x**2 + 4*x. Let k be g(-3). Sort u, k, 0 in ascending order.\nAnswer: k, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -144109.3 times 1?\nAnswer: -144109.3","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is 1337074224 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 k = -4.2 - -23.2. Let w = k + -18.9928. What is w rounded to three decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 + 2*p + 84. Let g be u(10). Solve q - 5*t = -g*q - 25, 3*q = t - 5 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 809982 and 1125?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*w + 6*w - 2*w + 8*w + 0*w.\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, o: 1, m: 1, l: 1, p: 4, f: 1}. Give prob of picking 1 p, 1 l, and 1 o.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let s = -1165 - -1162. Let c = 5 - 5.3. Let w = c + -0.2. Put w, s, 4 in descending order.\nAnswer: 4, w, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 divided by 2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 5*s + y, 2*s + 2*y - 19 = -27. Let j be 1*(-2 - 0)\/18. What is the nearest to s in -3, 2\/23, j?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 5*k - 256, -4*v + 2*k - 11 = 233. Let a = 64 + v. What are the prime factors of ((-61)\/(-3))\/(a\/30)?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -169\/17388 and 101\/8694?\nAnswer: 17388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 g, and 1 z when three letters picked without replacement from {g: 1, z: 1, f: 1, h: 1, t: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qyn when three letters picked without replacement from spsqyqyxpnnxnnqs.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -10*x - 2. Let o(d) = -3*d + 1. Let i be o(1). Let q be y(i). Suppose -c + 11 = -1. Calculate the highest common divisor of q and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2766032?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -838*n + 9217. Let d be k(11). Put -3, d, 1828 in decreasing order.\nAnswer: 1828, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 5*l - 75, -2*i + 4*l + 9 = -9. Calculate the greatest common factor of i and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -110 - -664. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11656 (base 10) in base 13?\nAnswer: -53c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of -89*c**6\/120 - c**4\/4 + c**3\/3 - 34*c**2. What is the second derivative of k(l) wrt l?\nAnswer: -534*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2. Let x(p) = 3*p + 3309. Calculate s(x(j)).\nAnswer: -9*j**2 - 19854*j - 10949481","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102461428?\nAnswer: 2, 89, 287813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in thirteen fifths of a milligram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2145 (base 10) in base 8?\nAnswer: 4141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/9 (b) 0.4 (c) 48.116 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-3)\/76)\/(69\/(-1909)) and -23\/6?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -28 + 17. Let c be (-9)\/(((-54)\/(-8))\/9). Which is bigger: w or c?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -111*o - 9541. Give g(-87).\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -253*s + 1485*s - 21848 = 13117 - 12789 for s.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-1320)\/(-6545))\/((-12)\/(-51)))\/((-27)\/(-35))?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*h**2 + 6*h**2 + 3*h**2.\nAnswer: 14*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-120)\/21*2800\/(-3200)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/836 and -7\/61210?\nAnswer: 25585780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -p - 2*p - 4*k, -3*k = 4*p - 17 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/5 (b) 3 (c) -0.2 (d) -4\/11 (e) 1 (f) -1102 (g) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -324*p - 1. Let y be k(1). Is y\/10*(-4)\/2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c**3 - 148*c**2 - 146*c + 134. Give z(75).\nAnswer: 434","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 AM and 12:49 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 - 68*l**2 - 1081*l + 206. Determine g(-42).\nAnswer: -256","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -428*m**2 + 208*m**2 + 211*m**2 - 7*m.\nAnswer: -9*m**2 - 7*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10.8 - 7168.80647.\nAnswer: -7179.60647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*x**2 - x**2 - 3*x + 3*x**2 + (-x + 0*x + 2*x)*(-152*x + 9*x - 327*x).\nAnswer: -465*x**2 - 3*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -409196 by 2.\nAnswer: -204598","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -8 - 12 - 15\/3*(-84)\/10\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - j**3 + 1 + (-5*j**2 + 4*j**2 + 0*j**2)*(2*j + 0*j - 4*j))*(-2 + 2 - 5*j**2).\nAnswer: -5*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llz when three letters picked without replacement from llllulzzll?\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 3*n - 18. What is the remainder when i(8) is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000049588 to six dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 - (-28)\/4 - 4. Let c be 112\/(-12)*k\/(-8). Let b = c + -4. Calculate the greatest common divisor of 9 and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -3*z. Let m = 1585 + -777. Suppose -2*x = -q + 126, z = -4*q + 4*x + m - 324. What are the prime factors of q?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(-3)*2\/15*200\/840.\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -1509\nAnswer: -7545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.91417517 rounded to 3 decimal places?\nAnswer: -18.914","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 50 = a, -4*a + 5*i = 4*i - 116. Suppose -20 = 2*o - 4*k, -3*o + 0*k - a = 5*k. Let b = o + 16. Is b a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116 is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -647.99 + 654. Let y = f + -0.01. Let o = y - 7. Which is the closest to o? (a) 0.4 (b) 0 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1175565620 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 625, 1255, 1887, 2521?\n\"Answer: a**2 + 627*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 383748 divided by 3?\nAnswer: 127916","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23, 21, 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x**2 + 65850*x**3 - 2*x**2 - 2*x**4 - 3*x - 65852*x**3 in the form d*x**3 + s*x + z*x**4 + u + r*x**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 57745225?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -11*v**3 + 5*v**2 + 8*v + 2. Let x(k) = -6*k**3 + 3*k**2 + 4*k + 1. Determine -3*d(r) + 5*x(r).\nAnswer: 3*r**3 - 4*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1064? (a) -4 (b) -3 (c) 0.4 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3354.82009671 - -3352.70023. Let s = 8.8801334 - h. Let c = s + -11. What is c rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -349.659 + -6.341. Sort 4, -5, x in descending order.\nAnswer: 4, -5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand a**3 + 183*a**2 - 2*a - 183*a**2 + (-1 - 2*a**2 + 1)*(-2*a - 3*a + 6*a) - 1 + 1 + a**3 + 111*a**3 - 61*a**3 + 63*a**3.\nAnswer: 113*a**3 - 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 3483?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-3) - 1\/(-21). Let y be (-4)\/3*6\/(-4). Suppose -2*h + 5*t = -6*h + 6, 4*h + 8 = y*t. Which is bigger: h or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-100912)\/(-340)*105\/6 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.57 and -73.62?\nAnswer: -41.9634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-364)\/9)\/(-2) - 2\/9. Suppose -10*k + x = -5*k. Solve -5*c = -16 - k for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 5*w + 8 = 0, -8 = -2*i + 4*w - 7*w. Which is smaller: 32\/1083 or i?\nAnswer: 32\/1083","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22 - -26. Let n be 2*2 - o\/1. Which is bigger: n or -1.8?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hbbb. Give prob of sequence hbbb.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1024?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 4*v + 37. Let h = v + 9. Solve o = 3*i + 19, 0*i + 12 = -4*i - h*o for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003754 to 3 decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4808997482.\nAnswer: 2, 2404498741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -4 - 45 - c**2 + 15 + 19*c. Let a be o(17). Solve n - 2*j - j + 2 = a, -10 = 5*n - 3*j for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 5*z = 15. Solve -19 + z = -4*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-957)\/(-483) - (12 + -10))\/((-544)\/56 + 10).\nAnswer: -3\/46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-24)\/28)\/((36\/(-56))\/3). Solve -b*o = -3*c - 17, -27 = -2*c - o - 4*o for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + 2*o**3 + 2*o)*(-4 + 1 + 2 - 3*o) + (19 + 10*o - 19)*(-o**3 + 2*o**3 + o**3) + 31*o**4 + 43*o**4 + 51*o**4.\nAnswer: 139*o**4 - 2*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23 - -28. Suppose c*u - 25 = 0, u = -a - 3*u + 17. What is the third biggest value in 0.06, 2\/9, -6\/7, a?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3073*i**2 - 5732*i**2 - 3 + 3.\nAnswer: -8805*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1280*p**3 - 101*p**2 - p + 4826226?\nAnswer: 3840*p**2 - 202*p - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 54\/(-2 + 4) + 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 - 4 - 3)*(-3 - 2 + 3) + 4 - 3 - 3 - 5 - 1 + 5 - 6 + 2 + 2)*(3*n + n - 5*n).\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -292 + 321. Suppose a = 57*i - 28. Solve -i = -8*f + 39 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 PM and 4:21 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of 0*f**4 + f**3 + 0*f**2 - 3 + 0*f + 1\/5*f**5. Find the third derivative of u(k) wrt k.\nAnswer: 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 57895652 and 2192?\nAnswer: 548","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of 3*u**4\/8 - 7*u**3\/6 - 5*u**2 - 13*u. Let r(j) = -3*j + 2. Let f(t) = 2*t**2 - 2*t + 2. Let v be f(3). Give v*r(i) + 4*d(i).\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7\/5122 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 - -12. Let t be h\/(-2) - (-873)\/18. Suppose 4*v = -4*m + t, 2*m - 3 = m + 2*v. Solve 4*n + m = n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 11) to base 7.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/2*(-8)\/42. Let j = 2231\/4 + -6685\/12. What is the nearest to j in 1\/5, i, -2\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*v - 4*o + 160 = 0, 0 = -2*v + 4*o - 34 - 136 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of -1\/4*x**3 + 9\/8*x - 15\/16*x**2 + 28. Suppose t(r) = 0. What is r?\nAnswer: -3, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -425*f**2 - 396*f + 37*f - 283*f - 138*f**2 wrt f.\nAnswer: -1126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j + 2. Calculate the remainder when 23 is divided by o(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-59333034)\/(-78) + 7 - ((-40)\/8)\/65 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/193680 and -56\/4035?\nAnswer: 193680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 PM and 6:56 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmmmxm. What is prob of picking 1 m and 1 x?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 25, -1, 5, -721, 102, -2 in descending order.\nAnswer: 102, 25, 5, -1, -2, -721","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 473426*h**3 - 1067566*h**2.\nAnswer: 2840556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 + o + 2. Let i(d) = -54*d**2 - 123*d + 7. Let w(p) = -4*a(p) + i(p). Find the second derivative of w(t) wrt t.\nAnswer: -100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 4*w + 936 = 0, 2*l - 3*w + 466 = -0*w. Is -235 at most as big as l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 3*r - 19 = 0, 5 + 12 = -s - 4*r. Suppose -1 = -2*u - u - 5*t, -2*t - 8 = -3*u. Let c(d) = -u*d + d + 0*d. Calculate c(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-60*s - 65*s + 24*s)*(1 + 0 + 0*s**2 - s**2)*(1 + 1 - 4) - 3*s**3 - 2*s**3 + 4*s**3.\nAnswer: -203*s**3 + 202*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 15, -1, -1\/4, 3 in ascending order.\nAnswer: -1, -1\/4, 3, 7, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 269.3 - 269.2. Which is the third biggest value? (a) -5 (b) 565 (c) -3 (d) f (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -n**3 - 5*n + 11*n**3 - 10*n**3 + 2*n**3 wrt n.\nAnswer: 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 22*h - 3*h - 9*h - h + 0 + 0 + (1 - 1 + 2)*(0*h - h + 2*h) - 7*h - 5*h + 7*h.\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2a97 + 2?\nAnswer: 2a99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -2*f**3 + 40*f**2 + 6*f + 10. Let r(o) = -3*o**2 - o - 1. Determine g(u) + 8*r(u).\nAnswer: -2*u**3 + 16*u**2 - 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 248*c**2*d**2 - 3*c**2*d - c**2 - 47*c*d wrt d?\nAnswer: 496*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 689265.5 weeks to minutes.\nAnswer: 6947796240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 - 25*l**2 - 49*l - 21. Let t be x(-23). Find the second derivative of -11 - 41*z**3 - z + t - 10 wrt z.\nAnswer: -246*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -53692 * -0.7.\nAnswer: 37584.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 2 = -5*s. Suppose 3*p - 4*p + s = 0. Solve -2*o - 4 = -p for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-9)*n*n**(-5\/4))\/(n\/(n**(-22)\/n)*n\/((n*n**(-9)*n)\/n)) assuming n is positive.\nAnswer: n**(-169\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/162)\/((-11709)\/105381).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*q**4 + 21*q**4 + 4 - 3*q**3 - 2 + q + q to w*q**4 + h + t*q**3 + l*q + g*q**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3500, 6994, 10472, 13928, 17356?\n\"Answer: -s**3 - 2*s**2 + 3507*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-216)\/(-21))\/6 + (-4)\/(-14). Suppose -8 = -3*g + 1. Solve k - p = g*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 301 and 447545?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 30 + 35. What is the remainder when u is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + -331028510?\nAnswer: -331028515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 39584014 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -6 (b) 1\/3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 3074 = 5*g - 18931, 0 = -5*g - 2*s + 15858. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 192*w + 645 - 2842 = 2603 for w.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = -4*h - 106, 5*q + 5*h + 2737 = 2632 for q.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4 - (5 + (-1 - 3)). Solve -2*k + 1 - n = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 5*x + 129 = 0, x = 2*j + 3*x - 64. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*y = 88*y + 119. Let h(n) = -2*n**3 - 5*n**2 - n**2 - 2*n**2 - 6 - 8*n + n**3. What is h(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -6. Let d(k) = -u*k**2 + 21*k - 10 - 20*k + 4*k**2 + k**2. Determine d(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k - 19. Let i be 21\/(-42)*((-30)\/4)\/(2\/(-8)). Determine l(i).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 997?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 592190 rounded to the nearest 10000?\nAnswer: 590000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 316008 and 90?\nAnswer: 1580040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 19*f + 12*f + 14*f + 1 - 48*f. Let r = -2 - 0. What is w(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 2:42 AM?\nAnswer: 10:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 6*i**2. Let q(a) = 160*a**2 + 30*a - 1. Determine q(r(p)).\nAnswer: 5760*p**4 + 180*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 + 14 + 0 + -24 + 6?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 + 3 - -1) + 4. Let g(n) = 3*n - 13. Calculate g(q).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84431467 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 445110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 781060650 to the nearest integer?\nAnswer: 27947","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 9364.037nm?\nAnswer: 0.000009364037","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 0, 2\/75?\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4 + (4 - 1))\/((-50)\/600). Solve -t = -q - 8 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f + 6 + f - 40.\nAnswer: f - 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -2*s**5\/9 - 5144*s**4\/9 + 12026*s**3\/3 - 72196*s**2\/9 + 41264*s\/9 = 0?\nAnswer: -2579, 0, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-g + 2*g - 3*g)*(2 - 2 - 2*g) + g**2 - 3*g**2 + 3 - g**2 as w + n*g + v*g**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of 1\/15*m**6 - 1\/6*m**4 - 1\/10*m**5 + 0 + 0*m**2 + 1\/3*m**3 + 5*m. Determine s, given that x(s) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 52 + -45. Let k be (28\/(-14))\/((-1)\/u). Solve -d - k = -5*w + d, d = -4*w + 19 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2016.178484 rounded to one decimal place?\nAnswer: -2016.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2065525, -2065527, -2065529, -2065531, -2065533?\n\"Answer: -2*r - 2065523","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 30 + -14. What is the third derivative of -3*j**3 + 3*j**3 + 2*j**3 + 10*j**3 - w*j**2 wrt j?\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 163776 (base 9) to base 4.\nAnswer: 120231312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 181 - 153. What is the remainder when 4335 is divided by f?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 12*s**2 - s**4 + 8895*s**3 - 8895*s**3 + (2*s**2 - 2*s**4 - 2*s**2)*(3 - 2 - 3) in the form t + i*s**4 + b*s + c*s**3 + o*s**2 and give o.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -7 - (0 + 0 + -7)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17240\/431)\/(25\/(-10))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -466699 smaller than -466716?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -85395006 divided by 513?\nAnswer: -166462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/12 + (-27)\/(-108)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x + 9. Let t be l(29). Let j be (-87)\/(-15) - t\/(-5). Which is the second biggest value? (a) -0.2 (b) j (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.35 in 189, -2\/17, -2\/11, -3\/4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (206 + 551 - 179)*(-j + j + j) as p*j + m and give p.\nAnswer: 578","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 2\/13 (c) 31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 88, 0.9?\nAnswer: 88","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/9*-3)\/(10\/270)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -115295 or -18.7?\nAnswer: -18.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -76\/27 and (-5 - 2\/(-1)) + 17\/33.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4744471 (base 9) to base 15\nAnswer: -35b13a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-96)\/(-9) - 16\/24. Let s be (-48)\/(-10) + 2\/u. Solve s*r + 8 = 3 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 68 and 6494.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((-1*sqrt(832) + sqrt(832))*-3 + -5))**2.\nAnswer: 900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(0 + sqrt(931)) + sqrt(931) + 1 + -5)**2.\nAnswer: 280*sqrt(19) + 23291","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*p + 2*p - 4*p + (-5 + 2 + 2)*(-p + 4*p - p) - p + 3*p - 3*p + (p + 0 + 0)*(3 - 4 + 3) as k + n*p and give n.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-4)*t*t*((t*t**(-3\/5)\/t)\/t*t)\/t)\/((t\/(t*t**2))\/(t\/(t\/(t*((t\/t**(-8))\/t)\/t*t*t)*t))) assuming t is positive.\nAnswer: t**(37\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 56894513, 56894514, 56894515, 56894516, 56894517?\n\"Answer: j + 56894512","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3\/11 + -2\/33. Let n = -1789\/12 - -149. Let y = f - n. Which is smaller: 1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 7*o - z - 50, -2*o - 4*z = -38. Suppose -o = 3*h + q + 4*q, -h + 17 = -4*q. Solve 5*a + 4*c = 17, 3*c - h - 8 = -3*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 - 0.0322\nAnswer: 0.1678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + g + 20 + 76 = 0, 0 = 5*h + 3*g - 137. What is the remainder when h is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3*((-49)\/(-7) - 6). Let w(s) be the second derivative of 1\/12*s**4 + 0*s**2 - 3*s + 2\/3*s**m + 0. What is w(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5492 + -5494. Put y, -23\/5, 7 in decreasing order.\nAnswer: 7, y, -23\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-32)\/(-40))\/(6\/10). Which is the nearest to 2\/3? (a) -5 (b) 0.6 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nt when two letters picked without replacement from {t: 6, z: 1, n: 2, r: 4}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -2*n. Let u be 20 + -17 - (n - 1). Put 5, u, 0 in decreasing order.\nAnswer: 5, u, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-20)\/5)\/((-4)\/(-6)). Suppose 5 + 1 = -2*n, 2*c = -4*n + 12. Suppose -6*k + c - 6 = 0. Sort k, 2, a, -3 in decreasing order.\nAnswer: 2, k, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/9)\/((-2)\/78). Let i(w) = -w**3 + 13*w**2 + 4*w - 19. Let g be i(j). What are the prime factors of 1*g - 0\/4?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, 2\/29, 4 in decreasing order.\nAnswer: 5, 4, 2\/29, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 20 = -0*s, -c = s + 4 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (264\/154)\/(((-2)\/(-4))\/((-42)\/12)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-3) - 182\/1092?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5724075880 to the power of 1\/3, to the nearest integer?\nAnswer: 1789","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 PM and 6:16 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 46562 smaller than 186247\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4050 - 2?\nAnswer: 4044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a kilometer in meters?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 4. Let g(z) = 2*z - 5. Let j be g(6). Suppose j*b - 4*b - 9 = 0. Solve 3*l = i*o - b, -5*o = -2*o - l + 3 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (3*1*sqrt(78) + (-4*sqrt(78)*2 - sqrt(78)))\/(sqrt(12)\/(sqrt(6)\/sqrt(3)) + (sqrt(6) - (sqrt(6) + (sqrt(66)*-1)\/sqrt(11)))))**2.\nAnswer: -30*sqrt(13) + 142","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 10*b - 69. Let i be s(-29). Let t = 576 + i. Is 8 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1098 divide 13888721?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 85500*y**2 + 85522*y + 27. What is t(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w**2 + 5387. Let o(x) = -2*x**2. Calculate m(o(l)).\nAnswer: -8*l**4 + 5387","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5390 and 154?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 892083?\nAnswer: 3, 103, 2887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 83260949 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of 5*b**2 + 6*b + 1. What is the first derivative of m(q) wrt q?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.9153924022 - 319.6082313578. Let r = q - -491.52362267. Let u = r + -171. What is u rounded to seven decimal places?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -4\/13, -0.1, 5.1, -1\/1002, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 0.2, 2\/9, -1.7, -2\/265 in decreasing order.\nAnswer: 1\/3, 2\/9, 0.2, -2\/265, -1.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 45681169367 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*v + 28 - 16 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 16200*q**2 + 29*q + 5. Is o(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1678.6 take away 6860630?\nAnswer: -6862308.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let v = -1310 - -1315. Solve 16 = -2*c - 0*c + 4*g, 3*g - 19 = v*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4020.96 to the nearest 10.\nAnswer: -4020","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + 13\/5 - 1680\/(-200). Let i(k) = -3*k + 3. Suppose 5*z = 10 + 10. Let y(u) be the first derivative of 7*u**2\/2 - 7*u - 1. Give q*i(o) + z*y(o).\nAnswer: o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a gram in milligrams?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/7)*o)**(3\/17)\/((o*o*o**(-1\/2)*o)\/o)**(-2\/9)*o**(-4\/7)*(o\/(o\/((o\/(o\/(o*o**(-2))*o))\/o)))\/o*o**(-3)\/(o*o**(-2\/7)\/o) assuming o is positive.\nAnswer: o**(-2437\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 15*f + f - f. Let q(m) = -355*m - 355*m + 710*m + 2*m**2. Give q(o(v)).\nAnswer: 450*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1631, 3258, 4883, 6506, 8127, 9746, 11363?\n\"Answer: -h**2 + 1630*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.848 + 4.848. What is the third biggest value in 1\/6, h, -1.54?\nAnswer: -1.54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15443 + -337. What is the tens digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3994\/3 - -1307. Let n = -7582 - -7558. Which is smaller: p or n?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 595441?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-57)\/(-5) - (9 + 45 - 43))\/((-184)\/120)\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 - 2*v**2 + 5*v + 3. Let q be f(-3). Let h(u) = -u**3 + 5*u**2 - 3*u - 3. Let k be h(4). Is (k\/q)\/((-6)\/126) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -797.\nAnswer: 79.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -250.802 - -517445256.\nAnswer: 517445005.198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 1049 = 7*q + 3*t, -5*t = 3*q - 1575. Does 2 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/2 + 20 + (-18 - -7)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 2 + 10 + 5*j in the form b*j + s and give b.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 30 + 23 - 31 + 4*a + (-1 + 4 - 2)*(-a + 0*a + 3*a).\nAnswer: 6*a + 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 197 = 2. What is the lowest common multiple of x and 30?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13 by 171503.\nAnswer: -13\/171503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -119051\/11 + 10823. Which is the smallest value? (a) -0.01 (b) -2 (c) 2 (d) w (e) -0.004\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19 - 19. Suppose u = -7*s + s + 24. Let i(p) = -2*p**2 + 3*p + 4. Give i(s).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-43)\/u**40*u**(-50)*u*u**(-49) assuming u is positive.\nAnswer: u**(-181)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 6, l: 2, y: 7}. Give prob of sequence yly.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18 - -19. Let p be ((-6)\/(0 - -3))\/(f\/8). Let b be (-1 - 24)*p\/10. What is the highest common divisor of 100 and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4232934?\nAnswer: 2, 3, 19, 12377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -115, 45, 5, -2 in increasing order.\nAnswer: -115, -2, 3, 5, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((8\/14)\/((-12)\/28))\/(183\/1647)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 29100325 and 2825?\nAnswer: 2825","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 56\/12 + -4 + (-26)\/30\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 17 = -r, -29*r + 9 = o - 30*r for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -7*y. Let c(p) = -p**2 - 1 + 2 - 1. Determine j(c(b)).\nAnswer: 7*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 171517 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a milligram in micrograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k + 2*k - 11*k)*(-2 + 2 - 2*k) - 2*k**2 + 2*k**2 + k**2.\nAnswer: 13*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 7:03 PM?\nAnswer: 12:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 24447?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 592 and 518.\nAnswer: 4144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -173 - -181. Calculate the remainder when 3 - (-5 + 2 - 704\/a) is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 55\/44 - (-1)\/(-4). Solve -4*q = l + 7 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41\/4 at most as big as 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of 47*f**6\/720 - 41*f**4\/8 + 94*f**2. Let c(d) be the second derivative of o(d). Let r(k) = -k**2. Give c(r(z)).\nAnswer: -47*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*m - 4*m + 1 + 4*m)*(2*m - 3 + 3).\nAnswer: -18*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -4*a. Let c(o) = -3272821*o. Determine c(w(u)).\nAnswer: 13091284*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1107341 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(468)*6 + (sqrt(117)\/sqrt(3))\/sqrt(3).\nAnswer: 37*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q**4 + 1380*q**3 = 0.\nAnswer: 0, 690","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13079 - 13139.19. Let o = 29 - -32. Let s = o + l. Round s to 1 decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 438100?\nAnswer: 2, 5, 13, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 170 and 408.\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -33873 - 9?\nAnswer: -33881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*j = 10*j - 5. Let g(f) be the first derivative of -f**4\/4 - f**2 - f + 1. Give g(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 100*p - 98*p - 78. What is the second derivative of 1161*z**3 - 46*z - p*z - 1092*z**3 wrt z?\nAnswer: 414*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -c + 13, 2*c + 12 = 4*c - d. Let u = 4 - 2. Suppose 1 = 4*b + p, 0 = 5*p - u*p + 9. Calculate the greatest common divisor of b and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26721450 (base 8) to base 4\nAnswer: 112322030220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 - 5. Suppose -9*g = -4*g, -4*s + 68 = -3*g. Suppose h + 2*v - 20 = 0, 0 = h + v - s + 1. What is the lowest common multiple of h and m?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1\/5)*w)\/w**(-2\/11))\/(w**3)**9 assuming w is positive.\nAnswer: w**(-1431\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxsmllsxsmaqqs. Give prob of sequence lqqs.\nAnswer: 2\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 102700 - 66885. Is t a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 19 + 23. Let y be (-9)\/(-45) + v\/5. Suppose k = y*k - 154. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 8. Find the second derivative of 5*y**d + y - 2*y + y - 2*y wrt y.\nAnswer: 100*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51402962 to the power of 1\/3, to the nearest integer?\nAnswer: 372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 9060*f**3 + 4 - 8487*f**3.\nAnswer: 573*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 1166*j - 1164*j - 3*s, -3*j - 12 = -5*s for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 108 = 4*p, -2*p + 2*f = -0*f + 34. Calculate the common denominator of p and -77\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, 30, 55, 96, 159, 250?\nAnswer: 375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 7+100310180\nAnswer: 100310187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 2*p**4\/9 + 104*p**3\/3 - 332*p**2\/9 - 312*p + 314 = 0.\nAnswer: -157, -3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31 (base 7) to base 14.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 508, 1133, 1748, 2347, 2924, 3473, 3988?\n\"Answer: -o**3 + o**2 + 629*o - 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4925 - 4922. Solve 4*f - 12 = w + h*w, 3*f = -5*w + 17 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13930 + -13925. Suppose 2*o - 127 = -3*r, -3*r + 42 = 4*o - 89. Calculate the remainder when r is divided by i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 AM and 5:26 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1808.\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -102 (b) 0.5 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 - 8*d - 7. Let m(n) = 2*n**2 - 15*n - 13. Let b = 291 + -297. Calculate b*m(y) + 11*c(y).\nAnswer: -y**2 + 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 15637190?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 + 4*o + 2. Let a be s(4). Suppose a*z + 12 = -3*d, 3*z - 20 = 4*z + 5*d. Factor z + 5\/4*b**3 + 0*b**2 + 0*b.\nAnswer: 5*b**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -56*x**3 - 318*x**2 + 935*x + 9. Give q(3).\nAnswer: -1560","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4.2 and -34.\nAnswer: -29.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 101*h + 11 + 89*h - 27.\nAnswer: -12*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*u**4\/2 - 23982*u**3 + 319835*u**2\/8 - 133275*u\/8.\nAnswer: -u*(u + 5331)*(6*u - 5)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 31957 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -15*s**2 - 1. Calculate z(1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 207586543 is divided by 2596.\nAnswer: 2595","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u + 1. Suppose -82 = 4*z - 370. Suppose 4*d - z = -14*d. Let o(h) = -2*h**3 - h**2 - 4*h + 5. Calculate d*v(f) - o(f).\nAnswer: 2*f**3 + f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3\/6 - 7*k**2\/6.\nAnswer: k**2*(k - 7)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -52 + 1570?\nAnswer: 1516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 124433 - -16?\nAnswer: 124450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, k: 5, r: 1, x: 9, h: 1}. Give prob of picking 1 k, 1 r, and 1 x.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (290\/16)\/(-5)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of -4\/5*p**2 + 17\/30*p**3 + 1 + 1\/100*p**5 - 23*p - 1\/6*p**4. Let t(b) = 0. Calculate b.\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 72.48019195 + -72.48. Round w to 4 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1859 to 1 dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaaaakakaaakkkaaaa. What is prob of picking 2 k?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-46))\/((-9)\/((-684)\/(-95)))?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/((-12)\/14) - (-6)\/(-4). Suppose 0*p + v*p = 3*p. Solve 4*g + 0*g + 12 = p for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-288)\/(-120))\/(2\/5). Let g be (-8)\/(n + -3 - 4). Is 8 greater than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 17 = -c, 5*u - 3*u = -8. Suppose 4*z + 7 = 5*k, 2*z + 2*k = c + 5. Let s be (-93)\/z*(-43 + 3). What is s rounded to the nearest one hundred?\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -66, 77, 398, 987, 1934?\n\"Answer: 15*y**3 - y**2 + 41*y - 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114 - 114 - 762*c**2.\nAnswer: -762*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - 0. Let g be (3 - -1)\/(1084\/2). Let c = g - 568\/3523. Put c, -1\/6, m in increasing order.\nAnswer: -1\/6, c, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -30063 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*s - 1. Let l(y) = 6*y - 190. Let c be l(32). Solve -r - c = s for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.218483 meters in nanometers?\nAnswer: 2218483000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 101 - 93. Is 459535\/75 - m\/60 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -7191, -14382, -21571, -28758?\n\"Answer: u**2 - 7194*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.47438964 to two decimal places.\nAnswer: -0.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -134, -160, -186, -212, -238, -264?\nAnswer: -290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/615?\nAnswer: -1\/615","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/2 - (3 - (16 + 13 + 1))\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*u - 2*u + 2*u)*(2 + 0 - 3 - u**2) + u**3 + u**3 - 3*u**3 to the form x*u + a*u**3 + y + g*u**2 and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 - 116*n + 722. Give d(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 53585 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b72d8 - 9b?\nAnswer: -b7373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-68)\/408 + (-2)\/(-12) + (-533 - -2). Is p >= -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4907?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 7, 4055, 1, -25?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -66, 1219, -2 in decreasing order.\nAnswer: 1219, 2, -2, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4*sqrt(2448)*2 - sqrt(2448)) + 5 + 5 + -2)*5)**2.\nAnswer: 33600*sqrt(17) + 3000400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1872.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 49.91 from 4.\nAnswer: -45.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y**2. Let b be (-4)\/(-6)*(1 - -2). Let z(x) = -7*x**b + 4*x**2 + x**2 - 7*x**2. Give u(z(j)).\nAnswer: -162*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 - 4*m**2 - 4. Let u(d) = d + 3. Let t be u(-7). Let r be g(t). Let s be 2 - 2 - 1*r. Calculate the highest common factor of 1 and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -5*o - 7, -u - 7 = -2*o. Suppose -3*p = -u*j - 9, 0 = -5*p - 3*j + 11 - 4. Let g be (p - 28\/10)*5. Sort -3, -1, g.\nAnswer: g, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of -f**4\/24 - f**2. Suppose 0 = o + 2*y - 143, o + 2*o + 4*y = 427. Let n(p) = 278*p - o*p - 122*p. Determine n(k(q)).\nAnswer: -15*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1764228634 - 1764228603 - 57*p + 52*p.\nAnswer: -5*p + 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2560447596?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 2747 = 5*j, 2*j + 112*y - 1090 = 113*y. Is j greater than or equal to 543?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -17 + 47. Let k be (-1 + 1)*(j + 5). What is the units digit of 6\/(-12)*(-24 + k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22243 + -22239. Let v be (0 - 2)*1 - 1. Let s be v*(10\/(-6) + 2). Which is the nearest to s? (a) z (b) -7 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2 - 3*v**4 + 3*v**2 - 5*v**3 + 13*v**5 - 8*v**5 - 2*v**4.\nAnswer: 5*v**2*(v - 1)**2*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-2 + sqrt(432)))**2.\nAnswer: -48*sqrt(3) + 436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64271.\nAnswer: 64271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3888.08m to micrometers.\nAnswer: 3888080000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -845.82 to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*d**2\/7 + 1961824*d\/7 - 12456 = 0 for d.\nAnswer: 2\/45, 21798","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1\/1378, -1\/2, 17 in ascending order.\nAnswer: -4, -1\/2, 1\/1378, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000095228 to 7 dps.\nAnswer: -0.0000095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/((v\/((v**(-8)\/v*v)\/v*v))\/v))*v)\/(v*v*v**(-1\/17)) assuming v is positive.\nAnswer: v**(120\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -187 in -48, 1, -1, -4, 33?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 371 and 212?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 1765 + 899 + 906 = -5*i, -4*s + 16 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -i + 1117, i + 10*h = 14*h + 1145. List the prime factors of i.\nAnswer: 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 133939*d**3*z**3 - 2*d**2 + d*z**2 + 5710*z**3 wrt d.\nAnswer: 803634*d*z**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(1\/3))**(-4\/9))**42\/((j**(-3\/4)*j)\/(j*j**(-1\/12)*j))**46 assuming j is positive.\nAnswer: j**(634\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.01 and -9.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 921750314*k**4 - 1247050873*k.\nAnswer: 11061003768*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 399280?\nAnswer: 2, 5, 7, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 - 5. Let v(y) be the second derivative of y**5\/20 - y**4\/4 - 5*y**3\/6 + 3*y**2\/2 + 3*y. Determine v(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5958.\nAnswer: 2, 3, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 35 - 32 = 2*z, 2*o - 5*z - 130 = 0. Let n = o + -21. Calculate the greatest common factor of 90 and n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -148, -125, -108, -97, -92, -93?\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 6 - 1)*(2*r**4 + r**4 - r**4) + 80*r**4 - 274*r**4 - 498*r**4.\nAnswer: -686*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes before 10:40 PM?\nAnswer: 11:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 4. Let r = 46 + -47. What is the second smallest value in r, 6, h?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/22416 and -59\/40.\nAnswer: 112080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 694350?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27980561?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (6 - 86\/16 - -1).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - -1a9bc?\nAnswer: 1a9c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 + -4258537201893.\nAnswer: -4258537201892.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 304 divide 203680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -3*m**2 + 2. Let v(z) = 364*z**2 - 2*z - 2. Let b be v(-1). Let y = -517 + b. Let l(j) = -75*j**2 + 51. Give y*c(p) + 6*l(p).\nAnswer: 9*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 5\/4 of a milligram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-358*u + 407*u + 426*u - u + 3*u - 4*u + (-u + 0 + 0)*(0 - 2 + 0) + u + u - 3*u)*(0 + 3 - 2)*(-3 - 2 - 1).\nAnswer: -2844*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 143*x + 14. List the prime factors of y(3).\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -0*j - 10. Sort 0.2, j, -1\/4 in decreasing order.\nAnswer: 0.2, -1\/4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + (-1)\/(1\/12). Let h(s) = s - 11. Let x be h(21). Let o = x + f. Let p(g) = -g**2 - 4*g - 6. Calculate p(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -4*r**2 - 47*r - 87. Give v(-4).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 15022?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + 0 + 3 + -1. Suppose n - 3 = -m*j, -n - 4*j = -2*n + 3. Is 1\/7 at most as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2ebde (base 16) to base 5\nAnswer: -22111304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 283 divide 70370793?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of o**3\/6 - o + 2. Let b(f) be the first derivative of m(f). Let x(c) = -2*c - 135*c**2 + 131*c**2 + 2*c. Give b(x(z)).\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in twenty-nine fifths of a kilometer?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 166.0688 + -166. What is g rounded to 3 decimal places?\nAnswer: 0.069","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a - 2*a**4 - 12*a**2 + 31*a**2 + 3*a**4 + 3 - 17*a**2 - 2 - 28*a**3 to b*a + k*a**3 + i*a**4 + j*a**2 + y and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -198*r**5 - 21*r wrt r.\nAnswer: -3960*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**2 + 3*l - 18.\nAnswer: 3*(l - 2)*(l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -4*h + 22, -5*f + 5*h - 22 = -32. What is the highest common factor of f and 1254?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bzbbbzzbbzb. Give prob of sequence bb.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**2\/(t*t**8*t))**42 assuming t is positive.\nAnswer: t**(-336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 201089 times 2243\nAnswer: 451042627","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0 and -0.05615819?\nAnswer: 0.05615819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of -v**4\/6 + v**2 + 2*v. Factor k(m).\nAnswer: -2*(m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 181397, 362803, 544213, 725627?\nAnswer: 907045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14338)\/7169*3\/((-3)\/(-2)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1354160000 to the nearest 1000000.\nAnswer: 1354000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 55 and 3575?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -95*p + 98*p + 15 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - 2*d + 1236, -v + 2*d = 4*v - 1554. What are the prime factors of v?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 - -17. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, 10576, -37, -1 in increasing order.\nAnswer: -37, -1, 27, 10576","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25*g**2 - 36*g**2 + 16*g**2 - 3*g**5 wrt g.\nAnswer: -180*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/5*1)\/((-160)\/(-3000)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, s: 1, v: 2, p: 1}. Give prob of sequence vs.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 324 + -323.5. What is the nearest to -1 in 2\/7, -0.2, -1\/6, f?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16 - -9.62.\nAnswer: 25.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -372 + 366. Let g = 2.8 + -3. Let m = 0.1 + g. Is h greater than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1387161 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64114411?\nAnswer: 64114411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/281 in 25, 0.08, -15\/2?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 29215179941 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (-2 - -1)) + (-3 - (-3 - 23)) + 71\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 143737 - 143737 + h**3.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 158*t - 6775. Calculate the remainder when p(46) is divided by 236.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 7776610, 31106458, 69989538, 124425850, 194415394, 279958170, 381054178?\n\"Answer: 7776616*w**2 - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p + 5. Let a be r(0). Differentiate a + 3*h + 21 + 35 + 66*h**2 - 52*h**2 wrt h.\nAnswer: 28*h + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-7018)\/(-198) - 36)\/((-2)\/18)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6743663 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 AM and 9:26 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 687 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 6 + 3)*(35*c - 19*c - 15*c)*(8 - 4*c - 8)*(0 + 0 + 2).\nAnswer: 16*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 190600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48 is divided by 45?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2982 is divided by 377.\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 5532340 (base 6) to base 14\nAnswer: 72b40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32208 divided by 976.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) -0.2 (c) 2 (d) -254839\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2.1 times -13\nAnswer: 27.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 AM and 12:21 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = g - 12 - 9, -51 = -4*g - d. Solve 2*u - g = 5*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, 2743 in descending order.\nAnswer: 2743, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**21\/(x\/(x*(x**5*x*x)\/x*x))*(x\/(x**(-1)\/x))**(-19) assuming x is positive.\nAnswer: x**(-29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**19)**(-26))**(-4\/33) assuming z is positive.\nAnswer: z**(2080\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (80\/1100)\/((-4)\/(-30)).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1302 equal to 1765?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*s + 13 + 7. Suppose -s*c - 2*k = -12, 0*c + 5*c - 21 = 4*k. Suppose 0*h + 918 = c*f + 3*h, 734 = 4*f + 2*h. What are the prime factors of f?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.964 rounded to two decimal places?\nAnswer: -0.96","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -626, -7314, -9 in ascending order.\nAnswer: -7314, -626, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2*b**3 - 39*b**2 + 113*b + 69. Let m be l(-22). Solve 5*d = 4*u + 12, -m*d - 5*u + 25 = 40 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 - 666*n**2 - 19630*n + 1661. Determine d(-31).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 153*s = -472*s - 14375 for s.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 51, 0.03, 0.2 in decreasing order.\nAnswer: 51, 1, 0.2, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, 4, -3, 1, 158, 2 in decreasing order.\nAnswer: 158, 22, 4, 2, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*z**3 + 5*z**3 - 29*z**3)*(-3*z + z - 3*z) + z**4 - 4*z**4 + 2*z**4 to c*z**3 + p*z + s*z**4 + n*z**2 + u and give s.\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3 - 18\/8)*4. Suppose l = 2*l + q. Does 9 divide 42\/4 - l\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/11 + 68154*o\/11 - 340720\/11.\nAnswer: -2*(o - 34072)*(o - 5)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 33 = 3*b, -4*a - b + 19 = -34. Calculate the smallest common multiple of a and 18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -30 + 92\/3. Let k(b) be the first derivative of 0*b**4 + 0*b - l*b**6 - 6 + 0*b**5 + 5\/3*b**3 + 0*b**2. Find the third derivative of k(v) wrt v.\nAnswer: -240*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 + 15. Let v be j(-4). Sort v, -21, -4 in decreasing order.\nAnswer: v, -4, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, 12, -2 in decreasing order.\nAnswer: 12, 5, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, 0, -9, -22, -39, -60, -85?\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 6) to base 12\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -22, -40, -2 in ascending order.\nAnswer: -40, -22, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/4 of a century?\nAnswer: 2100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -9. Suppose -a**4 - 6*a**h - 2*a**2 - 5*a**4 - 2*a**5 + 0*a**4 = 0. What is a?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b**2 - 11*b - 13. Let k(z) = -z**2 + 5*z + 6. Let v(g) = -6*a(g) - 13*k(g). Suppose -4*h = -9*h. Let j be v(h). Solve j = d - 4*d - 15 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**7\/(n*n\/((((n\/((n*n\/(n\/(n**9*n)))\/n))\/n)\/n*n)\/n))*(n*n*n*n*n*n\/(((n*n**0)\/n)\/n*n)*n)**(-3\/20))**43 assuming n is positive.\nAnswer: n**(-6063\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 29 = -5*t, 2 = t - 9*r + 7*r for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 156.495 - 156. Let i = q - 0.57. Let u = -9.875 - i. Round u to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5219, 5, 2 in ascending order.\nAnswer: -5219, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*o = -62 - 166 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -3*j - 2. Let a = -66 + 73. Suppose 2*s - a*s = 10. Determine m(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 - 4*h**2 - 6*h + 7. Let a be i(5). Let p be (a\/(-14))\/(6\/(-7)). Let z = 3 - 5. What is the biggest value in -5, z, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.037, -3\/2, -0.1, 5, -5\/4?\nAnswer: -0.037","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 22*c**2 + 8*c + 32. Let g(f) = 9*f**2 + 3*f + 13. Let b(r) = 12*g(r) - 5*h(r). Give b(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-2\/9)*x\/(x\/(x**(-3\/4)\/x*x)))\/((x\/(x\/x**(7\/6)))\/(x**(5\/7)\/x)) assuming x is positive.\nAnswer: x**(-247\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 156842.\nAnswer: 2, 7, 17, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - -1639?\nAnswer: 1638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*k - 4*p + 93 = 0, -2*k + 1123*p - 1122*p = 19 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 148 + -145. What is the third biggest value in l, -1.1, -0.3?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 PM and 9:50 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 - 5*j. Let t be x(-4). Suppose 2*y - 3*f = -2*f + 715, -368 = -y + t*f. Let g = y - 179. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 9\/7*y**3 - 2\/7*y - 11\/7*y**2.\nAnswer: -y*(y + 1)*(9*y + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-5*(1 + sqrt(325)*-2 + sqrt(325))*-3 + 1 + 1.\nAnswer: -13 + 75*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1848327 millennia in decades?\nAnswer: 18.48327","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -265, -523, -781?\n\"Answer: -258*k - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -149, 0.3, 1212\/679?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h - 70 - 1360 = 0. What is the highest common factor of h and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/8*28\/(-21)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, -32, -3, 2, -40 in ascending order.\nAnswer: -40, -32, -26, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14839 - -14841. Suppose 5*d - 4*u + 153 = 0, 18 + 77 = -3*d + 4*u. Sort s, 5, 0, d in ascending order.\nAnswer: d, 0, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4989 - -4989.1. Which is the fifth smallest value? (a) 2 (b) 1\/3 (c) x (d) -2 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 1 + 14\/735*147?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 12 + 26?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - d. Suppose -z - 1 = d, k - 9 = -k + z. Let q(j) = -13*j + 94. Calculate the least common multiple of q(7) and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -8, 5.8, 0.2, -2, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -n + 2, -4*n - z = -8*n + 17. Solve u + 6 - 5 = -i, 2*u - n = i for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tattttnfd. What is prob of sequence aftd?\nAnswer: 5\/3024","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22*6\/792 + (-132323)\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(64) + 3*-1*sqrt(16))\/(sqrt(48)\/(sqrt(486)*2)).\nAnswer: -90*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xhhhhhxhhhhhxhh. Give prob of sequence xx.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1028 (base 10) in base 11?\nAnswer: 855","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5 + (3 + 1)*(-32)\/64. Let k be (-10)\/8 - (4 + -7)\/1. What is the second smallest value in -0.5, k, x, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -219*q. Let a(g) = -g**2. Determine a(r(w)).\nAnswer: -47961*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28795 is divided by 2617.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 24*y + 3*y**3 + 24*y**2 - 4*y**3 + 0*y**3 + 0*y**3 + 1 + 16. What is q(25)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 107*i - 9 - 14*i + 9 to a + r*i and give r.\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9 (base 10) to base 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 67009 bigger than 1544?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -2*(4*(sqrt(448) + -3*(0 + sqrt(448)) + 5 + ((sqrt(448) + 0 - sqrt(448)) + -3 - -3*(sqrt(448) + sqrt(448)*2))) + 1))**2.\nAnswer: 18816*sqrt(7) + 1405369","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and (-87)\/(-12) + (-6)\/(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -2*x**3\/3 - 38*x**2 + 1682*x\/3 + 598 = 0.\nAnswer: -69, -1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g - 12. Let x be y(-8). Let i be x + (-3)\/6*-4. Suppose -o + i*o = 50. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + (-2)\/1 + 3. Suppose -3*l - 24 = -7*l. Suppose -k*o - o + l = 0. Solve -f + 4*v - 16 = o*f, 12 = -3*f + 3*v for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o**3 + 22*o**2 - 16*o + 98. Let r be n(-12). Solve 6 = r*s + d + 9, -4*s - 5*d = 15 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1600?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2221306?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 4*q**2 - 4*q - 269. Let l be d(19). Which is smaller: l or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3421373 or -3421389?\nAnswer: -3421373","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 868466514.\nAnswer: 2, 3, 317, 456607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 - 18. Let c = -17 - -15. Which is smaller: c or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 + 3*h**2 + 1. Suppose -4 = -o, -2*f + 3*o - 34 = -2*o. Let w(m) be the first derivative of -m**4\/2 - 7*m**3\/3 - 3*m + 4. Give f*p(l) - 3*w(l).\nAnswer: -l**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5183 + -5214. Let c(o) = o**3 + 33*o**2 + 63*o + 29. Determine c(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 281333357?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-112)\/(-42) + (-2)\/(-6). Let f(a) = 3*a + a + 2*a + x. What is f(3)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of -2*k**2 - 120. Let x(f) = f + 1. What is -o(w) - 3*x(w)?\nAnswer: w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 74221855 and 10745.\nAnswer: 1535","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1933\/3866)\/(-2 - -5 - 298\/100).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30 - 15*s**3 + 18 + 16*s**3.\nAnswer: s**3 + 48","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -101 + 43 + 4*d - 12*d + 58. Let j(c) = -191*c. Calculate j(t(y)).\nAnswer: 1528*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, k: 3, u: 3, z: 5}. Give prob of sequence zu.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -33*j**2 - j**5 + 33*j**2 + (-11*j**2 + 2*j**4 - 278*j**3 + 278*j**3)*(0*j + 4*j - j).\nAnswer: 5*j**5 - 33*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 193888222 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a litre in millilitres?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*d + 443 = 303 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 109119 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three quarters of a milligram in micrograms?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/4*4\/(-18). What is the nearest to -1 in -0.3, -5, f?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 134642562?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 197 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -1092*m - 39*m + 79*m in the form y*m + t and give y.\nAnswer: -1052","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + -11000110001000011011?\nAnswer: -11000110001000011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1257 - -2175. Calculate the highest common factor of 34 and a.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/2 at least -2.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13 in 82, -2, -2\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.9 + -2.9. Let j = -69 + 68.7. What is the nearest to u in j, 2\/9, 0.2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7080\/(-44)*(-3)\/(-12). Let d = 25\/11 - i. What is the common denominator of 91\/22 and d?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1126662?\nAnswer: 2, 3, 19, 9883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rs when two letters picked without replacement from rbsrmrs?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.28901 - 93.\nAnswer: -94.28901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 134 - 72 = 0. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -936\/7 - -134. Let w = 45 - 45. Suppose 15 = 11*z + 37. Which is the closest to w? (a) z (b) p (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5230000 to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ihh. Give prob of sequence hh.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/3420 and -11\/410?\nAnswer: 140220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-5) - 36\/(-15). Find the second derivative of -2*d**5 + x*d**5 - 2*d**5 - d wrt d.\nAnswer: -40*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + (-25)\/(-5) - 5 - -6. Solve a*q + 2 = 4*v, -4*v + 31*q - 35*q = -20 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from xtotnttntu?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 13585 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -4*j + 3, 0*j - j = -2*b + 3. Suppose j*u - 4*u + 3 = -3*i, -i - 3 = -u. Suppose -u = -5*c + 2. Which is bigger: c or 2\/33?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.12 - -16.88. Let g = -16.9 + h. Let d(j) = -j**3 + 8*j**2 - 12*j + 318. Let q be d(10). What is the fourth biggest value in 0.4, q, g, 2\/11?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/sqrt(45) - (-5 + sqrt(16)\/sqrt(8)).\nAnswer: -2*sqrt(2)\/3 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 137472721 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 - (-6)\/2)*-1. Let q be 300\/210 + -2 + (0 - m). What is the nearest to -2 in -0.5, q, 0.3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*u - 10386 - 35991. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*t + t + 2*t - 2*t**3)*(15 - 10 + 2).\nAnswer: -14*t**3 - 14*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**4 - 2*x**4 + 2*x**4)*(2*x - 2*x + 2*x) - 8*x**3 + 218273*x**5 - 6*x**3 - 218303*x**5.\nAnswer: -26*x**5 - 14*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -32.404 * -48\nAnswer: 1555.392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 2. Suppose -3*z + 43 = 2*w, -z - 5*w + 31 = 2*z. Let l = z + v. Solve 2*h = -3*h - l for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*(-2 - (2 - 2)). Let b = -89 - -91. What is the greatest common factor of b and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1367*j + 123*j - 1176*j - 126*j.\nAnswer: -2546*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22244 and 4785282?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -2361855.39 to the nearest ten thousand.\nAnswer: -2360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to 10\/49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4527752, -19 in decreasing order.\nAnswer: -3, -19, -4527752","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 15875564 less than or equal to 15875564?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 PM and 4:15 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 5:56 PM?\nAnswer: 7:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -177*o - 34. What is the units digit of h(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6677*b - 6603*b + 1776 = 0 for b.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 43*f - 28*f + f**4 + 59*f**2 - 30*f**3 + 72*f to the form m*f + t + h*f**4 + j*f**2 + n*f**3 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-6) + (-126503)\/10545. Let y = 13\/95 - q. Let f = -5563\/992 + 165\/32. Find the common denominator of f and y.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 35, 71, 111, 161, 227, 315, 431, 581?\n\"Answer: f**3 - 4*f**2 + 41*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6440 = 2*f - 5*i, f - 46*i - 3238 = -48*i. Suppose 20*x - 21*x = f. What is x rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-130)\/15*(-9)\/6*114. Suppose -a + 735 = 3*v - 7*v, r = 2*a - 5*v. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 43 - 35. Suppose -k + 43 = -3*f, -76 = -5*k - 5*f + x. Suppose 6*i - 3*i - k = -5*g, 0 = -5*g - 4*i + 24. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15110071 to the power of 1\/2, to the nearest integer?\nAnswer: 3887","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 4, -5 in descending order.\nAnswer: 4, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2152, 2234, 2318, 2404, 2492, 2582, 2674?\n\"Answer: q**2 + 79*q + 2072","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-14)\/(-4) - (-1)\/(-2). Suppose 1 + 5 = t*b. Suppose -b*w = n, 2*w - 5*w - n = 0. Solve -3 = -2*a + 3*h, -3*a - 4 + w = 4*h for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-21900)\/18)\/((-3)\/270). What is a rounded to the nearest ten thousand?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*h - 3*h - h)*((3*h - 3*h + 2*h**3)*(-7*h + 3*h + 2*h) - 2*h**4 + h**2 - h**2 + 2*h**2).\nAnswer: -6*h**5 + 2*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 55 + -43. Suppose 41 = -i*d + 5. Let s(v) be the first derivative of -v**3\/3 - v**2 + 3*v + 1. What is s(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -49, -21, 37, 125, 243?\n\"Answer: 15*v**2 - 17*v - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1526 < -1527?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 + 103*b**2 - 1700*b - 1821. Give i(82).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.78 - -118.9\nAnswer: 119.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 22593*f**2 - 7*f - 2. Let u be h(18). Suppose -2*y - 7319980 = 5*o, -2*y + 2*o = o + u. What is y rounded to the nearest 100000?\nAnswer: -3700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8205\/12 - (-11)\/(-4). Calculate the greatest common factor of j and 7264.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -21*s + 248. What is t(7)?\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 c when three letters picked without replacement from ppppppppcpcpppppcppp.\nAnswer: 17\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 9*f - 5*l - 51, -8*l - 56 = 0. Which is the closest to 2? (a) -1313 (b) 0.2 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 157, 161, 165, 169?\nAnswer: 173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 3*r + 10 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3378 = 55*i - 24950 - 3838. What is the least common multiple of i and 336?\nAnswer: 3696","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.666? (a) -5\/6 (b) -37 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 5*p**2 - 5*p. Let h be b(4). Suppose 2*r = -a + 16, -5*r + 81 - 11 = 5*a. Calculate the highest common divisor of h and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 AM and 1:07 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-549984)\/15165 + 8\/30?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of z**4\/24 + 5*z**3\/6 + 7*z**2\/2 + 10*z. Let n(b) be the first derivative of q(b). Calculate n(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19 + 17. Sort -1, c, -5 in descending order.\nAnswer: -1, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 11*y**2 - 261*y + 183. What is m(23)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 52432 and 3248.\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/84)\/(2\/(-12))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 PM and 12:17 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 5*k**2 + 16050*k = 0.\nAnswer: -3210, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 - (-10 + -19) - 36?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 + 27 - 5) + 0 + 11.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 393?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/1155422 and 77\/271864.\nAnswer: 4621688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 481365 is divided by 2494?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1634146.\nAnswer: 2, 817073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 1\/2, 32, 2\/9, 2\/7?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/38212 and 9\/194668.\nAnswer: 45357644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g + 1. Let w(p) = p + 2. Let k be (-77)\/(-35) + (-1)\/5. Calculate k*c(q) - w(q).\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8072 = 419*l - 411*l. What is the thousands digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 5*u + 13 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/12632 and 1\/2.\nAnswer: 12632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 220 = k. Calculate the remainder when k is divided by 6 + 891\/33 + 2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-11)\/5 + (-11)\/(-55). Let a(q) = -352*q**2 + q - 2. Let u be a(z). Find the common denominator of 2\/(-9) + u\/(-144) and 1\/28.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1418, 1406, 1394, 1382, 1370?\n\"Answer: -12*c + 1430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of 3*g**4\/4 - 19*g**3\/6 + 9*g**2\/2 + 15. Let l(n) be the second derivative of o(n). Differentiate l(z) wrt z.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(60)\/(sqrt(3)*1))\/(sqrt(640) + -4*sqrt(640)) + 5.\nAnswer: -sqrt(2)\/24 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 4 - 2)*(15*l + 11*l + 8*l) in the form i + v*l and give v.\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29856.0035212 + -29856. What is i rounded to 4 dps?\nAnswer: 0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.9340408 to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1.837 (b) -0.4 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 + 5*y**2 - 3*y - 6. Let k be v(-5). Let w(r) = 55*r - 6758. Let h be w(123). Solve -n = -d + k, 0*n = -3*d - n + h for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 5:13 PM?\nAnswer: 10:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 5, -1, -1\/7, -6549, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 + 1. Let x(q) be the first derivative of 3*q**4\/4 - q + 168. Give -3*k(c) - 3*x(c).\nAnswer: -6*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1123.46 - -1175. Let j = 52 - h. Let k = j + -0.46051. What is k rounded to four decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, 0, 4 in decreasing order.\nAnswer: 4, 2, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -3*v**3 + v**2 - v. Let w be x(1). Let m = -1 - w. Suppose -m*a - 28 = -6*a. List the prime factors of a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2\/5 + 111206088*d\/5 + 3091698502065936\/5.\nAnswer: (d + 55603044)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k and 1 e when four letters picked without replacement from eeeeekeeekeeeekkee?\nAnswer: 14\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 22014, 1, -2, -1991 in ascending order.\nAnswer: -1991, -2, 1, 5, 22014","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 8. Let k = -5 + j. Let z = -1046 + 1051. Which is the third biggest value? (a) 2\/15 (b) z (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 288 - 75. Let k(s) = -16*s**2 + 465*s - 454. Calculate the remainder when a is divided by k(28).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of 0*d + 0*d**3 + 89 - 1\/40*d**5 + d**2 - 3\/400*d**6 + 1\/105*d**7 + 1\/60*d**4. Determine o so that x(o) = 0.\nAnswer: -4\/5, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1)\/(-3) + 26072510\/(-15))*30\/(-90) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 351*q = 354*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 7*b**2 + 165*b + 98. Let f be c(-23). Solve f*m + 123 = 99 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 383647669 is divided by 74?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -64*t - 7. Let o be u(1). Let p = -21 - o. Is 5 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2*c. Let u(m) = -4*m + 1512. Calculate u(z(j)).\nAnswer: 8*j + 1512","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -240 + 24?\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1322403?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*f - 30*f = 8*q - 32, 5*q - 20 = -3*f. Which is the second smallest value? (a) -54 (b) f (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 + b + 6. Give n(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/8)\/(2\/4)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(833) - 1*sqrt(833))*-5 + -2*(sqrt(833) + -1) + 1)*-1)**2.\nAnswer: -84*sqrt(17) + 3341","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/4 (b) -1\/184 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 460 by -4.\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144906 is divided by 15.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4948*o**4 - 101*o**2 + 3*o + 5.\nAnswer: -118752*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3 - 522029*c**2 + 1044055*c - 522027.\nAnswer: (c - 522027)*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.038 and 16.\nAnswer: 0.608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**3 + 186*l**2 + 2*l - 186 = 0. What is l?\nAnswer: -1, 1, 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - -10?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -35*w**5\/3 - 2605*w**4 - 441235*w**3\/3 - 185555*w**2 - 41070*w = 0. Calculate w.\nAnswer: -111, -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - y**3 + 3 + (-6*y + y + 3*y)*(y**2 + 4*y - 4*y) + 0*y**3 + 2*y**3 - y**3 + 45*y**3 - 8*y**3 + 5*y**3.\nAnswer: 40*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nmmmnnnmmnnm. What is prob of sequence mnnn?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -7 - (-6 + (2 - -14)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.0091 - -4.0091. Sort 5, -0.2, 0, z in ascending order.\nAnswer: -0.2, 0, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + 12002212231?\nAnswer: 12002212221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 4*y - 16 = 0, -332*f + 335*f + 2*y = 12. Let q be 1\/(-1*2\/(-18)). Solve -f*m = -q*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 5*b**2 + 19*b + 34. Calculate o(-2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1653 + 1652.973. Is p less than -0.05?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 16 = -3*t. Suppose w = 5*l - 2*w - 139, l = -t*w + 37. Let s = -21 + l. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1616 - 2144 + 4327)*(1 - 1 + 2*z) as b*z + i and give b.\nAnswer: 1134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, 68.\nAnswer: -3, 5, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 3\/7 (b) 1 (c) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -9*w**3 + w**2 - 12355*w - 24707. Calculate r(-2).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*j - 38 = -734. What is the least common multiple of 11 and j?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1231883364 divided by -6.\nAnswer: -205313894","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of -5*w**6\/6 + 27*w**5 - 245*w**4\/2 + 710*w**3\/3 - 465*w**2\/2 + 115*w - 474. Determine l, given that h(l) = 0.\nAnswer: 1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 530274140 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14.9 + -0.9. Let u = -12 + f. What is the third biggest value in u, -3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, m: 2, s: 1, u: 5, l: 1}. Give prob of picking 1 l, 1 u, and 1 s.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 73628 - 73791 = 3*s, -5*s + 5*q - 155 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/7)*t\/t**(-2\/19))\/((t**(-1\/2)\/t)\/t)**(3\/7) assuming t is positive.\nAnswer: t**(655\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 + i**2 + 6*i + 9. Let g be s(-2). Let d be (g\/(-36))\/(1\/2) - -1. Let 0 + r**2 - 1\/2*r**3 - d*r = 0. What is r?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 364081?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/(-12))\/(3\/(-81)). Sort -5, -1, u in decreasing order.\nAnswer: u, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(432) - 2*sqrt(432)) + 3 - -4*(sqrt(12)\/sqrt(4) + 5 - sqrt(3)))**2 + -2.\nAnswer: -552*sqrt(3) + 959","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.6 (b) -2\/25 (c) -5\/4 (d) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 235332?\nAnswer: 2, 3, 2179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2324 = -8*m + m. Does 15 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 2 a when four letters picked without replacement from alplplalllylll?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(117) - -2*(sqrt(117) - -2*sqrt(117))) + sqrt(117)*2*5)\/(sqrt(1089)*2*1).\nAnswer: 1 + 17*sqrt(13)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o. Let c(u) = u**2 + u - 2. Let b(k) = 19*k**2 + 2*k - 4. Let d(i) = -b(i) + 2*c(i). Calculate d(g(y)).\nAnswer: -68*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -37*o - 83. What is k(0)?\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2754?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13021424 (base 5) to base 14.\nAnswer: 3414d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of -1 + 3*n**3 - 1\/2*n**2 + n. What is s(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -131*t**3\/2 - 261*t**2\/2 - 129*t\/2 + 1\/2 = 0.\nAnswer: -1, 1\/131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.493676 minutes?\nAnswer: 29620560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b. Suppose 5*v - 26 = 19. Let x = -9 + v. Suppose 2*o = -u - x*o + 2, -5*o + 27 = -3*u. Give n(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence scs when three letters picked without replacement from {s: 4, c: 8, i: 2}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 1\/4, -2\/9, 363?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-110)\/(-8)*(-1524)\/10. Suppose -5*f + 3*c = -10256, c + 4782 = -5*f + 15050. Let p = f + g. What is the common denominator of p and 23?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, x: 3, h: 1, f: 4, w: 2, t: 3}. Give prob of picking 1 s and 1 t.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.23, -3, -0.5, 2 in increasing order.\nAnswer: -3, -0.5, -0.23, 2","meta":{"dup_signals":{},"source":"comparison__sort_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: b\"What is the tth term of -122, -196, 224, 1582, 4322, 8888, 15724?\n\"Answer: 74*t**3 - 197*t**2 - t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*h**2 + 1 - 1 + 268*h**2 + 8*h**2 - 18*h**2.\nAnswer: 269*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1786964*j**5 + 2262*j + 131?\nAnswer: -35739280*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 729128266?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -199679*-3111\nAnswer: 621201369","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + (-16)\/6 - (-1420)\/(-12). Is 24 a factor of 3 - o - 9\/(9\/2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 49*m**2 + 212*m + 3. Let z(b) = -106*b**2 - 422*b - 7. Calculate 13*h(l) + 6*z(l).\nAnswer: l**2 + 224*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*v + 885 - 885)*(-1 - 2 + 5)*(1 + 0 - 3)*(-3 + 3 - 4)*(-238 + 238 + 60*v).\nAnswer: -11520*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*k = 25*k. Let q(b) = -17*b - 14. Give q(k).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12)\/9*3\/2. Let x = 0 + p. What is the remainder when 0\/(1 + x) + 2 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*(16\/12 + -1)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 1:41 AM?\nAnswer: 12:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 176177, 178909, 181641, 184373, 187105, 189837?\n\"Answer: 2732*h + 173445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l - 1 + 1 + (4 - 6 + 4)*(-l + 0 + 0) - 136 + 265 - 129 - 1394*l to the form w + g*l and give g.\nAnswer: -1395","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*f + 3*z - 0*z, 2*f - 8 = 4*z. Suppose 2*b - 20 = -4*h, 30 = b + f*b + 2*h. Solve 5*r = b, -7 + 4 = -d + r for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.2546 + 0.0846. What is the closest to 1 in -0.1, y, 0.4, -0.01?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -y. Let p = -71.72 + 84.8. Let n = -12.08 + p. Sort 0.09, y, n.\nAnswer: y, 0.09, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1703*o**4 + 1811424 - 1811424 + (-o - o + 3*o)*(-2*o - o**3 + 2*o).\nAnswer: 1702*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25940840, 103763371, 233467592, 415053503, 648521104, 933870395, 1271101376?\nAnswer: 1660214047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -221 - -324. Let s = -57 + c. Suppose -6*y + 18 = -114. Calculate the remainder when s is divided by y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-8)*-3 - 30554\/(-4). What are the prime factors of b\/30 - -3*(-4)\/18?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -5 (b) -1075.53 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 16 - -7?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of a**3\/3 + 129*a**2 - 156*a - 1. Does 9 divide t(17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of -n**6\/120 + 17*n**4\/24 - 14*n**2. Find the second derivative of s(k) wrt k.\nAnswer: -6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -2 - j + 4 - 2. Let s be y(-2). Suppose -r - s*t + 26 = 0, t + 42 = 2*r + 3*t. Calculate the smallest common multiple of r and 22.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -11*y**3. Let n be (-2 - 37)\/(-3) + -4. Suppose 3*g + 23 = 2*k, 7*g - n*g - 14 = -k. Let q(s) = 11*s**3. Give k*p(j) + 3*q(j).\nAnswer: -11*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c. Let i be 2\/(-7) - (-2)\/7. Suppose i*q = -3*q - 3. Let o(x) be the third derivative of x**4\/6 + x**3\/2 - 3*x**2 + 76. Calculate q*o(t) - 6*a(t).\nAnswer: 2*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91655027.\nAnswer: 91655027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 209495 divided by -143?\nAnswer: -1465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 265815963.\nAnswer: 3, 7, 4219301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 - 2*d**2 + 5*d - 4. Is j(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 17. Calculate the greatest common factor of v and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f. Let g(q) be the third derivative of 0 + 0*q + 0*q**3 - 1\/24*q**4 - 104*q**2. Give g(t(b)).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of 68*n**3\/3 + 12829. Let l(m) = 3*m + 3. Calculate l(o(i)).\nAnswer: 204*i**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 4*d = -16, 2*n + 16 = 3*n + 4*d. Let j(r) = -r + 19. Let y be j(n). Let s = y - 12. Calculate the remainder when 19 is divided by s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than 160\/52961?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2172251435 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 5*g**2 - 6*g - 2. Let i(m) = -38*m**2 - 21*m - 13. Let w(b) = 9*b**2 + 5*b + 3. Let k(f) = -4*i(f) - 17*w(f). Give -j(l) - 2*k(l).\nAnswer: -3*l**2 + 8*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together -8226 and 97395.342.\nAnswer: 89169.342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + -1. Let h(m) = -m**3 + 12*m**2 + m - 8. Let b be h(12). Let n be 1\/f*b\/(-6). Is n >= -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/((x*x*x**(2\/5)\/x*x)\/x*x)*x**(-5\/3)*x\/(x\/x**(-18))*x*x**(6\/17) assuming x is positive.\nAnswer: x**(-5027\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 - 2*n**2 + n - 2. Let o be g(-3). What is o rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 8*r + 4*n + 8 = 0, -4*r = -5*n - 12 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5368373 nanoseconds in milliseconds?\nAnswer: 0.0000005368373","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbxccbxybbtbjbbcbbbb. What is prob of sequence jy?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60 = 4*r - 18*c, 5*r = -c - 5809 + 5781 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 + 15*z**2 + 2*z + 16. Let n be k(-15). What is the hundreds digit of n\/49 + 3502\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 136 = 21*u - 26*u, u + 4*v = 24. Calculate the least common multiple of 424 and u.\nAnswer: 2968","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 1343 = 4*m + 720, 4*s = 5*m + 2450. Calculate the remainder when s is divided by 44.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 + 5. Let h(o) = -o**2 + 4. Give 6*c(v) - 7*h(v).\nAnswer: v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4075\/978*18\/5*3?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(475))**2 + (-2*sqrt(95))\/sqrt(5).\nAnswer: -2*sqrt(19) + 475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s - 2. Let u be c(-2). Let i(k) = -20*k + 5. Let a be i(u). Let b = 13 - a. Is 12 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*(27\/18)\/(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -158 - 3150?\nAnswer: -3308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/3838 and -1\/4040.\nAnswer: 76760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14630 by -7315.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 19 - (242 - 254)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -319*j**3 + 112*j**3 + 102*j**3 + 3*j**2 + 106*j**3 + 4 in the form r*j**2 + q*j**3 + w + x*j and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -170 - -170. Suppose -t - 3*d = 12, x*t + 5*t - 4*d - 35 = 0. Solve 1 = -4*p + t*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4933\/2 + -2420. Calculate the common denominator of j and 37\/40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-9)\/(-2))\/(1\/2). Solve -4*i - 20 = -j*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*v - 29*v = 107658. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, 4, 37 in increasing order.\nAnswer: 1, 4, 5, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -10, -1616651 in descending order.\nAnswer: -3, -10, -1616651","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 8, 12, 16, 20, 24?\n\"Answer: 4*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/(-6))\/(1\/3). Let o(k) = -k**2 - 2*k + 2. Let g be o(c). Let n be (5\/2)\/(g\/4). Solve j - n = 4*j - 5*f, -10 = 2*j - 5*f for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 4*c - 0*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-6)*a)\/(a\/(a\/a**(9\/5)*a)) assuming a is positive.\nAnswer: a**(-29\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*41.\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -29*n + 84 + 61 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s + 0*s - 4*s)*(6 - 2 + 0).\nAnswer: -8*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, m: 1}. Give prob of sequence mk.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 + 3*r**2 + 7*r + 4. Let f(a) = a**2 + 2*a + 1. Give -7*f(m) + 2*g(m).\nAnswer: 2*m**3 - m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1235489 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by 10.\nAnswer: -7\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/38)\/(12\/(-6)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + 473?\nAnswer: 474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53983?\nAnswer: 37, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 594?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dssswzzwfzfszdzzwfzd. What is prob of sequence fwz?\nAnswer: 7\/760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -455, -275, 35, 475, 1045?\n\"Answer: 65*a**2 - 15*a - 505","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 46.6131 and 28.6.\nAnswer: 1333.13466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3270 + -3273. Sort r, -3\/7, -2\/15, 2.9, -1 in descending order.\nAnswer: 2.9, -2\/15, -3\/7, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 3*i - 250. Let r(v) = -10*v + 40. Let n be r(3). Calculate the highest common factor of n and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/10*(-15)\/(-2). Let q be 56\/(-3)*x\/4. What is the units digit of ((-15)\/10)\/(3\/q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/465302 and -83\/1631744.\nAnswer: 119117312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 3961?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01296 to three decimal places.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1276236173 + -7493.\nAnswer: 1276228680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(70) - -1*sqrt(70)*-1) + -1*(2*(sqrt(70) - (sqrt(70)*-1 + sqrt(70) + sqrt(70))) - sqrt(70)))\/((sqrt(360) + 2*-1*sqrt(360))*4*-2).\nAnswer: sqrt(7)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1322 - -1312?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3. Let n(m) = -30*m**3 + 35*m**2 - 35*m. Let j(d) = 5*d**3 - 6*d**2 + 6*d. Let f(x) = -35*j(x) - 6*n(x). What is f(l) + 4*k(l)?\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 456*p**2*r**2 + p**2*r - 255*p*r**2 - p*r wrt p?\nAnswer: 912*r**2 + 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -18125, -18150, -18175?\n\"Answer: -25*f - 18100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 4*h**5 - 22580*h**4 + 31877312*h**3 - 31854736*h**2 = 0?\nAnswer: 0, 1, 2822","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 31890 and 35079.\nAnswer: 350790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from {f: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/64 and -89\/4?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 + 3*x - 9. Let t(d) = 3*d + 2. Let f be t(-2). Let y be q(f). Let w = 0 + -0.1. Which is the third biggest value? (a) y (b) w (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 140454002 to the power of 1\/2, to the nearest integer?\nAnswer: 11851","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8184129?\nAnswer: 3, 2728043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w**2 - 10*w + 3. Suppose -3*h = -8*h - 25. Let d be z(h). Let n(p) = -3*p + 1. Let a(i) = 2*i. Let m(k) = 4*a(k) + 3*n(k). Calculate m(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 e, and 1 v when three letters picked without replacement from {w: 5, e: 5, f: 6, i: 3, v: 1}.\nAnswer: 5\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 PM and 10:50 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1970186 to the power of 1\/2, to the nearest integer?\nAnswer: 1404","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -3*b + 8*b + 2*b**2 + 0*b. Let c(z) = 2*z**2 + 6*z. Let m(p) = -p**3 + 5*p**2 - 6*p + 6. Let s be m(3). Give s*a(q) - 5*c(q).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 4:17 AM?\nAnswer: 3:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -21 in -5, 2, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -497\/5 + 99. Suppose 8*g - 4*g - 5 = -3*k, -2*k = 2. Suppose -r + 4 = -3*z + 14, 3*z - g = -r. Which is the nearest to x? (a) -5 (b) z (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1025074597.6 + -0.982\nAnswer: 1025074596.618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-5 + (sqrt(245) - (0 + -2*sqrt(245))))*-4 + -5 + -3)**2.\nAnswer: -2352*sqrt(5) + 35476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27 and 7587?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 223883?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -3 (b) -31 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*j + 2*j - 45 = 0. Let o(a) = a**3 + 5*a**2 + 3*a + 6. Let n be o(-4). Solve -4 = t - 3*h, -j*t + 5*h - 2 - n = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 5*r - 11. Let n be ((-10)\/r)\/(3\/108). Round n to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73 + 63*n**3 - 125*n**3 + 63*n**3 + 54*n**2 - 54*n**2.\nAnswer: n**3 + 73","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/3 (b) 1\/4 (c) 5 (d) 3 (e) 1\/20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 1:28 PM?\nAnswer: 3:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011101 + 1101011?\nAnswer: 1110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*t - 2*t + 4*j - 5, j = -t. Suppose 5*a - t = -0*x + 4*x, x = 5. Solve -5*l = -o + 11, 4*l + a = -0*o - 3*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 241456 a multiple of 238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -161\/156 and -7\/29172.\nAnswer: 29172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, a: 2, w: 3, n: 9}. What is prob of picking 1 n and 2 w?\nAnswer: 27\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (18 + 25 - 47).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 136 and 4961433.\nAnswer: 39691464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 2*r = -7*r + 38, -3*o + 66 = 3*r. What is the second derivative of 1 + 8*w - 5 - o*w**4 - 12*w**4 - 60*w**4 wrt w?\nAnswer: -1152*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -384.62\nAnswer: 192.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 3*b - 51 + 21, -4*b = 5*m - 226. What is the greatest common factor of m and 582?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 5*k - 8, -5*w + 10 = -k - 2. Suppose 3*d + 15 = w*d. What is the remainder when ((-11)\/3)\/(1\/d) is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 6*k = -9*k - 5, -6 = -r - 2*k for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100111 - -110010100?\nAnswer: 101101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - l = 20, -5*l + 8 = 3*y - 0*l. Does 22 divide 4\/(-8) + 267\/y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of a**3*i*s - a**3*s + 172*a**3*u + a**3 - 14*a**2*i*s*u + a**2*i + 2*a*s*u + 2*a wrt u.\nAnswer: 172*a**3 - 14*a**2*i*s + 2*a*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 - 38 = -2*c. Solve 3*x = c*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 43 + 341*l + 494*l - 23 - 20 to w + o*l and give o.\nAnswer: 835","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 80.004954 rounded to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w + 1. Let a(g) be the second derivative of -g + 0 + 2*g**2 + 1\/3*g**3 - 1\/12*g**4. Determine -a(j) + 4*k(j).\nAnswer: j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 - -5. Let d = -2 - o. Let n be 1\/5 + d\/(-10). Is n equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19176 less than or equal to 19181?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*g**2 - 62504*g - 41664.\nAnswer: -4*(g + 5208)*(3*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, 571, -22 in increasing order.\nAnswer: -22, -3, 1, 571","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 + z + 1. Let m(s) = 5*s**3 - 4*s**2 - 2*s + 18. Let f(p) = 6*j(p) - m(p). Let t be 5\/((-20)\/(-44)) + -2 + -2. Is f(t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 552878529?\nAnswer: 3, 7, 3853, 6833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 8269 to the power of 1\/2, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -3. Let a = -379 - -376. Let r(s) = -s + 1. Let i(b) = 9*b - 1. Let h(f) = -f. Let p(g) = -21*h(g) - 3*i(g). What is a*r(t) + k*p(t)?\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tbt when three letters picked without replacement from bjbubtbbfbtjbjbj.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 552 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 186 = -5*k, q = 1 - 3. Let g be (-208)\/(-24)*27\/6. Which is greater: g or k?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-2))\/((-10)\/(-4) + -2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163 is divided by 55?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 + 1*(2 + 6) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 1\/2 (b) -0.5 (c) 5 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -30 - 5*q + 23*q**3 - 7 + 0*q + 37 as h*q**2 + a*q + y*q**3 + v and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8 + -7)\/(((-3)\/21)\/1). What is the highest common factor of n and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(240)\/(sqrt(6)*-1))\/(sqrt(88)\/(2*sqrt(11))) + 2)**2.\nAnswer: -8*sqrt(5) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 27\/2 of a day?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 88, -1\/11, 4\/7?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/3 + (-2)\/3. Let j be 2*h*1\/2. Let d be (-2)\/j*1\/10. Which is smaller: -1 or d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -3, 3, 12, 2, -2, 46 in decreasing order.\nAnswer: 46, 12, 3, 2, -2, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 + -12. Put -0.3, h, -2\/3 in descending order.\nAnswer: h, -0.3, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-73 - -81)*(2\/(-5))\/1. Which is smaller: z or -3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + 3 - 3 - -1.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -185189816*a**4 + 134*a + 331424 wrt a?\nAnswer: -2222277792*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 AM and 1:59 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-941715)\/(-459)*18\/10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(126)\/sqrt(7) + ((sqrt(18) - sqrt(18)*1) + sqrt(18))\/sqrt(9).\nAnswer: 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + 2*y - 2999, 0*z + 4*z - 3*y = 3976. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 80 and 136.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.035293 years to millennia.\nAnswer: 0.000035293","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1*(4 + -2 + -6)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of -o**8\/336 + o**7\/105 + o**6\/60 - o**5\/15 - o**4\/24 + o**3\/3 - 6*o**2. Suppose w(j) = 0. Calculate j.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 3 + sqrt(7) + sqrt(7)*2 + 0)**2.\nAnswer: 12*sqrt(7) + 67","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -7, 2\/5, -8739?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -22*f**2 - 17525*f + 42351. Calculate m(-799).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/47498682 and -139\/12954186.\nAnswer: 142496046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 34284955 to the power of 1\/2, to the nearest integer?\nAnswer: 5855","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1334 - -1334.06. What is the nearest to 0 in 1\/4, -15, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 897?\nAnswer: 3, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 + (-65 - -39) + 14 + 6.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -h - z + 37, 4*h + z = 71. Let k = h - 3. 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: Let l = -3 + 5. Suppose 5*d = l*h + 3163, -3*d = -2*d - h - 635. List the prime factors of d.\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 4*x. Let a(z) be the third derivative of -13*z**6\/120 - 11*z**3\/3 + 60*z**2. Let p(n) be the first derivative of a(n). Give o(p(y)).\nAnswer: -156*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162867*h**2\/4 - 1309227*h\/2 - 10524387\/4 = 0 for h.\nAnswer: -1873\/233","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 + 26*r**2 - 57*r + 802. Calculate b(25).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*c**2 + 220*c**3 - 130*c + 940*c**3 - 130*c**3 wrt c?\nAnswer: 6180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 3*a**2 + 8*a + 508. What is q(-14)?\nAnswer: 984","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5487062 + 3?\nAnswer: 5487065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of -x**8\/240 + x**5\/24 + x**4\/3 - 38*x. Let q(i) be the third derivative of s(i). What is the first derivative of q(v) wrt v?\nAnswer: -84*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 45*g**4 + 48*g**4 - 141*g**4 - 95*g + 46*g**4 + g**2 - g**3 to t*g**4 + f*g + h + z*g**3 + u*g**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z**3 - 8*z**2 + 2*z - 5. Let a be y(4). Solve -4*n - 13 = -0*n + a*k, 0 = 2*n + 3*k + 5 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28547 and 79?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1486, -6444, -18264, -40378, -76218, -129216, -202804?\nAnswer: -300414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1218 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27 + 25. Let p = 120 - 180. Let o = -59.5 - p. Which is the closest to m? (a) -2 (b) o (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-1\/4))**(3\/10)\/(o**3*o)**(-40) assuming o is positive.\nAnswer: o**(6409\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62916?\nAnswer: 2, 3, 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -145 + 149. Let h = -0.15 + 17.15. Let j = -16.7 + h. Which is the third smallest value? (a) 2 (b) o (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 753 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10.9 + 11.1. Let s be 68\/(-3) + -4 - (-4)\/6. What is the third biggest value in v, 0.4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -385*i + 358 - 82*i + 467*i + 17*i**2 in the form r*i**2 + k + w*i and give k.\nAnswer: 358","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -2 + (0 - -2) - -3 - -8\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*v + 56 = -0*v. Let f(w) = 5*w**2 + 0*w + 4 + 7*w - w**3 + 2*w**3. What is f(v)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 0*w - 1\/4*w**3 + 1\/4*w**2 = 0. Calculate w.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 29*m**3 + 11*m**2 + 11*m - 14. Let u(h) = -10*h**3 - 4*h**2 - 4*h + 5. Let d be 0\/5 + (-8 - -4). Give d*x(t) - 11*u(t).\nAnswer: -6*t**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) -4\/255 (c) -1 (d) 0 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*l + 68 + 28. Suppose 26 = 3*d + 5*c, -5*d + 15 = c + 1. Suppose -d*o + 44 = l. Solve -2*w = -6*w - o for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(6 + 119\/(-21)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -23a290 (base 11) to base 2\nAnswer: -1011100101100011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10119563 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, v: 2, u: 2, f: 1, m: 1, t: 1}. What is prob of picking 1 v and 1 t?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8\/((-144)\/27)*5284\/(-6)?\nAnswer: 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31 + -29. Let o(w) = 15*w**3 + w**2. Let a be o(1). Suppose -f*m - 5*n + a = 0, 2*n - 8 = -m + 3*n. What is the remainder when 23 is divided by m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 22 = -6. Suppose 0*p = r*p - 44. Is (-422)\/(-22) - 2\/p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (224 - 219)*(-14 + 154\/10)\/(2\/10)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-9\/7)*p)**(-41))**(1\/2))**15 assuming p is positive.\nAnswer: p**(615\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*x**2 + 80*x**2 - 163*x**2.\nAnswer: -9*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - t + 60 - 9 = 0, 2*t + 186 = -4*w. Let g be (-64)\/16*(-3)\/w. Which is the closest to g? (a) 0.018 (b) 3\/8 (c) -0.2 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4\/3, -1\/2, -0.016, 512?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*r - 5*r - 15. Suppose -t + r*t = 44. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127388 is divided by 628.\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 3*h + 15, 5*h + 24 = 2*k + h. Find the second derivative of k*u**4 - 4*u + 2*u - 2*u wrt u.\nAnswer: 72*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 383 and 1843795704?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -279188250*z**3 + 223351125*z**2 - 44670540*z + 84 = 0.\nAnswer: 7\/3722510, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-42)\/7 - ((-1173)\/12)\/17. Which is the nearest to x? (a) -3 (b) 0.04 (c) -1\/3 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*(-4 - -2 - -3) + 1. Suppose 2*j = -0*t + t + 22, 4*t = o*j - 88. Which is smaller: t or 0?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 22\/3*o**3 - 22\/3*o - 6*o**2 + 20\/3 - 2\/3*o**4 = 0.\nAnswer: -1, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2822670576.\nAnswer: 2, 3, 11, 161999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1383 divided by 51?\nAnswer: -461\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -30 in -2, 124, 0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 8 = u + 3*h, h = 2. Suppose 0*y - 2*y - 172 = -2*t, 0 = u*y - 6. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8*h**4 - 107*h + 58435 wrt h?\nAnswer: -32*h**3 - 107","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n + 4. Let p be s(4). Suppose 3*w + w - 36 = p. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-7)\/(21\/(-6))*2. Suppose z - 16 = -3*b - b, -b = -3*z + 9. Suppose -4*p = -s - 23 - 1, p - 17 = b*s. Put 1, p, c, 2 in decreasing order.\nAnswer: p, c, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -13*w**3 - 5*w**2 - w. Let b(n) = 26*n**3 + 11*n**2 + 2*n. Let r(j) = 4*b(j) + 9*c(j). Suppose -3 = 3*d - 0. Is r(d) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20197 - -21875. Is l a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 + 7.7. Suppose -3*q - 15 = -51. Let z be 1*(3 + q\/(-4)). Which is the second smallest value? (a) l (b) z (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of 4*d**3\/3 - 8*d. Let x(b) = 2*b. Determine o(x(g)).\nAnswer: 16*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o - 6*o = -4*a + 136, -2*o + 66 = a. Solve -18*r + o*r = 28 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 11:55 AM?\nAnswer: 4:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 0.045.\nAnswer: 0.018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-1)\/o**(2\/3) assuming o is positive.\nAnswer: o**(-5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(68) - (sqrt(68) + 2*sqrt(68) + sqrt(68)))*-5)\/(sqrt(64) + sqrt(64) + -1*sqrt(64)))**2 + 6*(-4 + 0 + sqrt(612)) + 5.\nAnswer: 36*sqrt(17) + 34121\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-2 + sqrt(13)) + sqrt(13))**2 - (sqrt(13) - ((3*sqrt(832))**2 + sqrt(832))).\nAnswer: -73*sqrt(13) + 7877","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 3 + 0)*((-1 - 1 - 2)*(8 - 8 - 7) + 2 - 2 + 1)*(7*n - 8*n - 7*n) to w*n + z and give w.\nAnswer: -232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18864*w + 944 = -18923*w for w.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 3*a = 148, -6*f - 142 = -f + 3*a. Let s = f + 32. Solve 5*z - z - 3*q + 8 = 0, -s*z + q = 6 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-5\/6)\/h**(-15))\/(h*h*h\/((h*h**8)\/h))**(-20) assuming h is positive.\nAnswer: h**(-515\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 980 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2130200?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 6 = 4*s. Let k = -10 + s. Let d be (k\/(-10))\/((-14)\/(-5)). Which is the third biggest value? (a) 5 (b) d (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(5 + sqrt(91)\/sqrt(7)) + -3 + 2 + sqrt(26)\/sqrt(2))**2.\nAnswer: 288*sqrt(13) + 1044","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 50 or 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -540 + 855. Let u be (-18)\/(-412)*(n\/27 + -12). Which is smaller: u or 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3612672 and 127008.\nAnswer: 32514048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1 - ((-5)\/1)\/5\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a**5 + 1366*a**4 - 25506*a**3 - 62294*a**2 - 42566*a - 7152 = 0. Calculate a.\nAnswer: -1, -1\/4, 24, 149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, 14, -5, -1 in descending order.\nAnswer: 14, 3, 2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -8\/1885 and 19\/725?\nAnswer: 9425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 12 = -0*m. Let f(r) = r**3 + 4*r**2 - 3*r - 6. Let p be f(m). What is the units digit of 30\/9 - 2\/p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 - 7*x**2 + 13*x - 12. Let r be n(5). Solve -g = -0*g - o + 5, 2*g - 10 = -r*o for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1449432265?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -9368\/9 < -1041?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*m*r**2 + 8*m*r + 14*r**4 + 11*r**3 + 18*r wrt r?\nAnswer: 6*m + 168*r**2 + 66*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-680)\/(-3400)*1\/(-6)*-10*-129.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 860 - -763. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -124.59 - -125.59. Sort -5, c, -4, 510.\nAnswer: -5, -4, c, 510","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/7 + 1366678*u\/7 + 4100052\/7.\nAnswer: -2*(u - 683342)*(u + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7 - -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + -3. Suppose -2*b - 4*j + 20 = l, -j - 2 = -4*b + 2. Suppose c - 48 = -b*c + 3*y, -3*c = -4*y - 46. Does 6 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -973690 rounded to the nearest 100000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 - 3*h**2 - h - 2. Let o be (32\/(-24))\/(4\/18). Let p be (-2 - 1)*(5 + o). Give k(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16720 - 16725. Which is the third smallest value? (a) 4 (b) -92 (c) n (d) -2\/15 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11333 - 3?\nAnswer: -11340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 + f - 52. Calculate i(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 32*o. Let n(g) = g + 967674. Give n(h(b)).\nAnswer: 32*b + 967674","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, r: 4, c: 3}. What is prob of sequence rcr?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-30600008)\/36 - 2\/(-9). What is a rounded to the nearest one hundred thousand?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -7*o + 45. Let k(f) = 11*f - 71. Let v(a) = 5*k(a) + 8*w(a). Suppose 5*r + 8 = 9*r. Give v(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - -3. Suppose 0 = -d*c + 20, 6 = 3*m + 3*c - 9. Let z = -4 + 16. Solve -3*q + y = -m*q - z, 5*y = -q - 12 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, u: 1, x: 2, y: 1, v: 1, i: 2}. What is prob of sequence xxv?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 59 - 48. What is the remainder when 40 is divided by q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29411742, -29411739, -29411736, -29411733, -29411730?\nAnswer: -29411727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(-91)\/4*(-4)\/13.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b + 26*b - 2 - 14*b)*(-3*b**2 - 2*b**2 + 6*b**2).\nAnswer: 12*b**3 - 2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of d**6\/330 + d**5\/22 + d**4\/6 - 5*d**3\/11 + 3*d**2 - 33*d. Let l(n) = 0. Calculate n.\nAnswer: -5, -3, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 6*v + 91. Let u = -1757 - -1743. Give j(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 5*y**2 - 50*y + 12. Let u(l) = 16*l**2 - 149*l + 37. Let x(n) = -7*o(n) + 2*u(n). Let r be x(17). Solve -2*m - b - 3 = 0, -r*b + 3*b - 20 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 18250, -2, 1, 3 in ascending order.\nAnswer: -5, -2, 1, 3, 18250","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -9*h + 10. Suppose 0*y - 7 = y. Let p(b) = -101290 - 6*b - 7*b + 101305. Give y*i(o) + 5*p(o).\nAnswer: -2*o + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -41 + 45. Let i = -2.36 + -0.64. Put -0.3, i, d, -1\/4 in ascending order.\nAnswer: i, -0.3, -1\/4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12174 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2660.\nAnswer: 2, 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002033 to six dps.\nAnswer: -0.000203","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 382 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/51, 2\/37, 3, 0.3, 0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 37507 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 129189.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 52*m**2 - 824*m wrt m.\nAnswer: 104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.05 - -0.05. Let b = 2 + -1.7. What is the second smallest value in h, 0, b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -208 + 413. What are the prime factors of h?\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 198307160\/179 + -16781930945465\/15148054. Let k be (-3)\/1 + 13358\/4454. Let w = k + b. Calculate the common denominator of -31\/8 and w.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2324106 < 3\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -32*u**5 - u**3 + 10*u**2 - 13 wrt u?\nAnswer: -1920*u**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i**(-2)\/i)**(18\/13)\/(i**(-1)\/(i\/(i*i**8*i))) assuming i is positive.\nAnswer: i**(-122\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ec when two letters picked without replacement from {c: 2, g: 1, e: 1, n: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 33, 75, 133, 207, 297, 403?\nAnswer: 525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 - 7*r**2 + 6*r. Let n be f(6). Suppose 3959 - 23615 = 117*a. What is the tens digit of -2 - (a + n\/2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (5 + -4 + -7)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3095 is divided by 765?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 267*v**3 + 18*v - 108. Let a(t) = -133*t**3 - 8*t + 54. Let w(h) = -9*a(h) - 4*k(h). Differentiate w(f) with respect to f.\nAnswer: 387*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.796 - 6.796. What is the second smallest value in h, 2\/15, -4, -142, -3\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 6 = -4*m, 0 = 4*k - 5*m + 4*m - 8. Suppose 5*u - 11 = 2*b, -k*b = -0*u - u + 7. Let r(g) = g**2 - 4. What are the prime factors of r(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 27\/(-945)*973 + 28. What is the third biggest value in 3, -2\/169, a, -3?\nAnswer: -2\/169","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -31.12 - 9.82.\nAnswer: -40.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 m when two letters picked without replacement from bwmmwju?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of 131*j**6\/180 + j**5\/120 - 4*j**3\/3 - 4. Let r(t) be the third derivative of q(t). Is r(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-20)\/(-16) + (-16)\/32. Which is the fourth smallest value? (a) 5\/4 (b) -1.4 (c) n (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 17 + 2 - 7 + g**2.\nAnswer: g**2 - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-128)\/(-120))\/((-2)\/(-3)) - 5842\/(-1905)?\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 8, -1, 4 in increasing order.\nAnswer: -1, 1, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*n - 5*o + 33 = 82*n, -67*n - 2*o = -1212 for n.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 4*f**2 + 6*f. Let q = 12 + -7. Let g be l(q). Let z be (g\/(-8))\/((-4)\/16). What is the highest common factor of z and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.0819 + -0.04291. Let j = w + -0.039. What is j rounded to five decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 2*v + 5*w + 27869503, -3*v + 27869499 = -3*w. Suppose 1610169 = f - v. What is f rounded to the nearest 1000000?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*m - 5*m + 4*m)*(-2*m + 5*m - 2*m) + 0*m**2 + 4*m**2 - 7*m**2 - 12*m**2 + 48*m - 48*m)*(-m**3 + 3*m**3 - 3*m**3).\nAnswer: 16*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.178 - 0.078. Is 2\/39 >= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 35.\nAnswer: -3\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1365, -1365, -1361, -1353?\nAnswer: -1341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 711957.4 millilitres to litres.\nAnswer: 711.9574","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/75*15\/18*3348\/6510.\nAnswer: 2\/175","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 28\/3 and -19\/3735.\nAnswer: 3735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 408789943 to the nearest integer?\nAnswer: 20219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12699 and 765.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(20) - (sqrt(405)*1 + sqrt(405)) - -2*(sqrt(605) + 0)*-5) + -2.\nAnswer: -126*sqrt(5) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31100230 (base 4) to base 8.\nAnswer: 152054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 3*q - 2677, 6*v - v = 5*q - 4435. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to 5\/658?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.195 - -78.805. Let x = -75 + n. What is the third smallest value in x, 1, 2\/9?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*6*((-4)\/(-36))\/(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bjbbjjjjjjb. What is prob of picking 1 b and 1 j?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 843023 (base 9) in base 16?\nAnswer: 7a46c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -847 divided by -1\nAnswer: 847","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-1*(-5 + sqrt(75) + -3 + 4*sqrt(75)*-5))**2.\nAnswer: 1520*sqrt(3) + 27142","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 4)*(-7*c + 3*c + 2*c)*(-c**4 + 20*c - 20*c + (0*c + 0*c - 2*c**3)*(5 + 3*c - 5) - 5*c**4 + 3*c**4 - 3*c**4).\nAnswer: 48*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of -o**8\/1512 + 4*o**7\/945 - o**6\/108 + o**5\/135 - 11*o**2. Suppose b(n) = 0. What is n?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a gram in milligrams?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -954 + 948. Let f be (-59)\/(r + 5) - 2. Solve -12*l = -f + 9 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -19*d. Let z(w) = -87717*w. Determine z(k(n)).\nAnswer: 1666623*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 - 17*t**2 - 3*t + 12. What is the remainder when h(-17) is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + -214?\nAnswer: -219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4526)\/(-10) + ((-518)\/(-70) - 7)?\nAnswer: 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1428 + 3*l + 2*l - l.\nAnswer: 4*l - 1428","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 + -6. Suppose -30 + z = -4*k. Suppose -5*f = -11 - 9. Which is smaller: f or k?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2802.\nAnswer: 2, 3, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -558 - 81?\nAnswer: -639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1833413, -3666825, -5500237?\nAnswer: -7333649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 11 = -z, 15*n - 20*n = -3*z - 27 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5164 - 5166. Suppose -3*w + 4 = -4*w. Put -11, z, w in ascending order.\nAnswer: -11, w, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3313 is divided by 3272.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 11, 991.\nAnswer: -2, 11, 991","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 590.2 + -590. Is f != 101?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, 17, -258?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145*n = 160*n - 105. Calculate the remainder when 198\/5 + 8\/20 is divided by n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/9, -3.2, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of 19*s**7\/210 + s**6\/120 + 6*s**3 + 54*s**2. Differentiate y(h) wrt h.\nAnswer: 76*h**3 + 3*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 - 16*q**2 + 17*q - 25. Let m be z(15). Put 69, 3, m in decreasing order.\nAnswer: 69, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*u - 2*u - 416. Let w = u - 49. Suppose 12*t - 1233 = w*t. What are the prime factors of t?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1111 (base 2) to base 16.\nAnswer: -f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -70, -5, -2, 1\/4, 23\/272, 5, 0.4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 17, a: 3}. Give prob of sequence gaag.\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*g**3 + 1357046515 - 1357046515.\nAnswer: -56*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -677, 4\/7, 0.455?\nAnswer: 0.455","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 80 - 70. What is the greatest common factor of a and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*r**2 + r**2 + 5*r**2 - 4 - 31 to the form k + u*r**2 + l*r and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/91 in 0, 1\/4, -7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4338644 (base 9) to base 4.\nAnswer: -20320211320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 481 is divided by 125.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of 2*j**3\/3 - 53*j**2\/2 - 78*j - 7. Let h be b(28). Solve 18 = -4*f + h for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/7*-10*6*24\/(-32).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**2 + 36*g - 88.\nAnswer: 4*(g - 2)*(g + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 46 + -44. Solve -l = -3, -o*l + 20 = 2*r + 2*l for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + (-2)\/2 + 5. Let p(a) be the first derivative of 3*a**u + 1 - 3*a**2 + 0 + 3*a - a**3. Find the first derivative of p(o) wrt o.\nAnswer: -6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4964977 is divided by 7614.\nAnswer: 649","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 41 + -39. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -56 + 59. Suppose 8 = -d*f + 2. Let r(v) be the second derivative of v**4\/4 + v**3\/3 - v**2\/2 + v. Determine r(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3\/56, -2\/7, 0.4, 3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 836*t + 21. Is w(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = -5*q - 3*j, -2*q - 15*j + 18*j - 6 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 201 or 198?\nAnswer: 201","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 13344238*i**4 + 1036635094?\nAnswer: 53376952*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1446 + -866. What are the prime factors of v?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 less than 170?\nAnswer: 170.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a centimeter in millimeters?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z - 2*z + 0*z)*(3 + 3 - 4) - 1 + 1 - z + (-2*z + 1 - 1)*(0 - 12 + 1).\nAnswer: 19*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j + 39. Is 9 a factor of o(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 215.9677 - 216. What is d rounded to two decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (8 - 2) - 1 - (5 + -3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7 * 1.5.\nAnswer: 10.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 482?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-45 - (-27 - 14)) + (11 - -1)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 10*s - 23. Suppose -s*u + 41 = 4*p - 6*p, 2*p - 9 = -5*u. Which is the nearest to p? (a) -0.3 (b) 1\/4 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2*k**2. Let w(o) = -o**3 - 2*o**2 + 1. Let i(b) = b**3 + b**2 - 1. Let t(f) = 3*i(f) + 2*w(f). Let m = 5 - 3. Determine m*t(g) - c(g).\nAnswer: 2*g**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-8)\/(-4))\/(2\/(-5)). Let s(b) = 14*b**2 + 4*b + 1. Is s(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -2.42?\nAnswer: 9.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -g + 123, -g - 2*b + 234 = g. Suppose 476 = 2*n - g. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19344 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of t**3\/3 - 4*t**2 + 4*t - 4. Let l be m(8). Suppose -l*o + 321 = -0*o - 5*g, 0 = o - 5*g - 99. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (149 + -1)\/((-4)\/(-6)). Let a = 1327\/6 - j. Sort -3, a, -2 in ascending order.\nAnswer: -3, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25281?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -1\/7 (c) 0.06 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-432)\/(-264) + (-11)\/((-110)\/(-20))\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 9, -288, -1097, -2676, -5283, -9176, -14613, -21852?\n\"Answer: -43*y**3 + 2*y**2 - 2*y + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -14844710\/21 and -706891 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2589, 2742, 2895?\nAnswer: 3048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n - 9. Let r be f(-12). Suppose r*j - 72 = -0*j. Suppose 11 = -o - 3*b + 3, -2*o = -2*b - j. What is the remainder when 27 is divided by o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v**3 - 27*v**2 + 15*v - 20. Let s be b(13). Let t(a) = 99*a**3 - 55*a**2 + 55*a. Let x(k) = 11*k**3 - 6*k**2 + 6*k. Give s*t(p) - 55*x(p).\nAnswer: -11*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((33\/(-12))\/1)\/((-25)\/(-100))*1.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + 2. Let o = -1 - s. Suppose 5*u - 5*v = 630, o*v - 102 = -2*u + 168. Round u to the nearest 10.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 295.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 65*h**2 + 3*h + 3. What is b(-1)?\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of -u**3\/3 + 1. Let q = -15 - -13. Let g(j) = -4*j**2. Let w(r) = q*x(r) + g(r). Let s(p) = 3*p**2. Determine s(w(y)).\nAnswer: 12*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000045509589 rounded to 7 decimal places?\nAnswer: -0.0000455","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 592.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -37 - -40. Let b(t) = -t. Let n be b(-4). Suppose v + n + 8 = r, 4*r - 53 = x*v. Calculate the remainder when r is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1449345 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*w = 43*w + 34*w + 12*w - 10292 for w.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/7, -0.12, 4, -4, 6, -0.6?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 12 + 15*b + 29*b + 0 - 6.\nAnswer: 44*b + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40670125 and 2190?\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-7))\/(20\/35)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 957623627 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 268*c**3*j**2 + 14*c**3 - 1091*c**2 + 18*c*j**2 wrt c?\nAnswer: 1608*j**2 + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*a + 0*a + a + 1 - 1 - a + (0*a + 4*a - 3*a)*(3 - 2 - 3) - 3 + a + 3 - 5*a + a + 2*a to x*a + u and give x.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together 11.3 and 12485861.1.\nAnswer: 12485872.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -331023 + 12909901\/39. Suppose -x - 4*x = -15. Suppose 4*f - 13 = 5*r, 5*r - x = -2*f - 2*f. Is r equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12 + 3?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 3)*((-5 + 3 + 3)*(5*h**5 - 4*h**5 - 2*h**5) - h**5 - 2 + 4*h**5 + 0).\nAnswer: 2*h**5 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1263 - -26?\nAnswer: 1322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 - l + 1. Let c(p) = -10*p**3 + 3*p**2 + 3*p - 52. Let s(t) = -c(t) - 3*d(t). Differentiate s(q) wrt q.\nAnswer: 30*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2 + 5*h + 2. Let l be q(5). Sort l, -4, 0.5.\nAnswer: -4, 0.5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.27, -4, -7.7.\nAnswer: -7.7, -4, 1.27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -15 (b) -4 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 - -1 - (-4 + 3). Suppose -x = z - u, z + 2*x + 0*x = 1. Suppose -5 = -z*w, -11 = -2*a - w - 4*w. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 59\/2130 + 15\/142. What is the nearest to 0 in 6, 0.1, h?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18964315*x**4 - 3*x**2 - 35914*x + 45?\nAnswer: -455143560*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -3 + 3 + 14*y**2. Let t(m) be the first derivative of 14*m**2 - 97 - 3 - 23*m**2 + 10*m**2. What is w(t(s))?\nAnswer: 56*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 5 + 7. Find the first derivative of 7*v**4 - 8 - 1 - 9*v**c wrt v.\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.8 + -3. Let m = 14 - 59\/4. Which is the second smallest value? (a) m (b) -1 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21881 to the power of 1\/2, to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + (6 - (-10 - (1 + -7))).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/75 and -59\/363760.\nAnswer: 5456400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56)*5)\/(sqrt(567)*-3).\nAnswer: -10*sqrt(2)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j + 5. Let m be f(-4). Which is greater: m or 1\/15?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-4))\/(14*15\/126)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 21 + 21 = 0. Is 0.15 greater than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -103.24288 and 95.8.\nAnswer: -7.44288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 641*u**6 + 40*u**2 - 19*u wrt u.\nAnswer: 76920*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 + -18)\/(-4) + -2. What is the tens digit of (-28)\/(-2 - z) + 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1252351 and 487082.\nAnswer: 598623778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (465\/(-775))\/((-4)\/(-10)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u**3 + 19*u**2 - 2*u - 18. Let y = 417 - 418. Let g(k) = -k**3 + k**2 + k. Let v(r) = y*g(r) + c(r). Find d such that v(d) = 0.\nAnswer: -6, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/30*9\/(-12).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27654 is divided by 11989.\nAnswer: 3676","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -15*o**5 - 100*o**4 - 235*o**3 - 210*o**2 - 20*o + 40 = 0?\nAnswer: -2, -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 136, 5930, 11724, 17518, 23312, 29106?\n\"Answer: 5794*u - 5658","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7 and 413?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 4)*(-k + 5*k - 3*k) + 2*k + 0*k + 0*k + 29*k + 14*k + 2*k.\nAnswer: 51*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(7 - (-164)\/(-24))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -130*j. Let a(g) be the second derivative of -g**4\/12 + 2*g - 10. Give a(p(x)).\nAnswer: -16900*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 108105 by 3.\nAnswer: 36035","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-6948)\/5)\/(388\/(-1455))?\nAnswer: 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -26, 3\/7, -4, -3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 489*-100.\nAnswer: -48900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of p**6\/120 - p**5\/20 - p**4\/24 + 2*p**3\/3 - p**2. Let m(z) = -z**2 + 6*z - 5. Let h be m(4). What is w(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**5 + 18*a**4 + 45*a**3 - 348*a**2 - 144*a + 1728.\nAnswer: -3*(a - 4)**3*(a + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t = 30 + 20. Suppose 9407 + 3068 = t*p. Suppose -24*l = -19*l + p. What is l rounded to the nearest ten?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -3*y - 2. Suppose -t - i = 4, -t = -i - 2*i - 4. Let b(o) = -8*o - 5. Let h(w) = t*b(w) + 5*n(w). Let u(l) = -l - 58. What is h(u(z))?\nAnswer: -z - 58","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: (-3 - -5) + -3 + 2 + 3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 + 4*m + 6. Calculate l(8).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 15*n**2 + n - 1. Calculate f(1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0045886 to three decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2095.544 - -137.1.\nAnswer: -1958.444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -75*p**4 + 6*p**3 - 2*p + 46. Let u(i) = 225*i**4 - 17*i**3 + 6*i - 138. Let d(a) = 17*g(a) + 6*u(a). Find the second derivative of d(f) wrt f.\nAnswer: 900*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*j - 47 = -23. Suppose 0 = -j*d + 6, 16*o - 18*o = d - 1795. Is o a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 17 - 29 = 2*c, 3*l - 33 = 3*c. Let g be 2\/6 + 56\/l. Suppose 178 + 457 = g*j. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzp when three letters picked without replacement from {p: 8, u: 2, z: 5}?\nAnswer: 16\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, m: 3, p: 3, i: 6}. What is prob of picking 1 m, 2 s, and 1 i?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2414233 to the power of 1\/2, to the nearest integer?\nAnswer: 1554","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - m = 17, 2*m = 1 - 11. Solve -u - 5 + g = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 8*h + 12. Let x(f) = 3*f + 4. Let j(v) = 4*q(v) - 11*x(v). Let g be j(2). Let a(u) = u**3 + 3*u - 4*u**3 + 5*u**3 - u**3 - 4*u**g. Give a(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 131 = 2*j - 3*j, 4*j - 5*d - 587 = 0. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2058)*1)\/(sqrt(6) - 2*(sqrt(6) + sqrt(24)\/sqrt(4)) - sqrt(6) - sqrt(6))*-2)**2.\nAnswer: 1372\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 842463 to the nearest integer?\nAnswer: 918","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/10, 1\/4, 0.11, 0.361, -5, -148?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4923, -4819, -4715, -4611, -4507?\nAnswer: -4403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 9:37 AM?\nAnswer: 2:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - -10?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -5123.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3228*w**2 - 104*w**4 + 3653*w**2 + 101*w**4)*(5*w - w - 2*w).\nAnswer: -6*w**5 + 850*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/m**(2\/7))\/m)**6*m**(-1)\/m**(2\/5))**(-14) assuming m is positive.\nAnswer: m**(218\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 533637 (base 11) in base 6?\nAnswer: 30145225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 29430004 times -10\nAnswer: -294300040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1978186?\nAnswer: 2, 7, 101, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - -13 - -4) + -10.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 + -1 + -2 + 1295. Let u be 3\/12 + 1542057\/1188. Let s = n - u. Calculate the common denominator of 33\/8 and s.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q = -21 + 15. Let b be -4 - (22\/33)\/(q\/(-78)). Let t be (-15)\/6*b\/(-15). Calculate the highest common divisor of t and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 - 56*u - 597. What is i(-42)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*3\/4*4. Which is the closest to -3\/8? (a) l (b) 0.3 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.14962855 rounded to 2 decimal places?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 + 6*f - 249. What is n(-27)?\nAnswer: 318","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 93 and 620?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08 times 0.018071?\nAnswer: -0.00144568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.99999 - -1. Round j to four dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(1584) + -2.\nAnswer: 3 + 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.091032 - 0.071. Let x = c - 0.02. Round x to five decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 36 = -s. Let x = s + -14. Factor -27*a**3 + 24*a**2 + 21*a**x - 5*a**3 - 4 - 9*a**4.\nAnswer: 4*(a - 1)**3*(3*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 776 - 284. What is the highest common divisor of a and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + l - 85, -3*l + 8 = s - 42. Suppose -2*h + 47 = s. Let y(o) = -3 + 0*o + 0*o + h*o. Calculate y(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 305*q + 151*q - 304*q.\nAnswer: 152*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -f**5 - 5010*f**2*k*v + f*k*v + 4*f - 80*k*v wrt f.\nAnswer: -20*f**3 - 10020*k*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29698, 118758, 267190, 474994, 742170?\nAnswer: 1068718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 3*f**4\/7 + 219*f**3\/7 - 5277*f**2\/7 + 27789*f\/7 - 36270\/7 = 0.\nAnswer: -93, 2, 5, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.004 - -0.774. Let m = 0.21 - 0.28. Let n = r + m. Which is bigger: n or 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 174236*-8.\nAnswer: -1393888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 222*r + 4436. Give n(-20).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 + 17. Let a = b + -10. Let s = a - -2. Is s at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 109 + -108. Put -16, w, 4\/3, -0.1 in increasing order.\nAnswer: -16, -0.1, w, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.7 in 4, -2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n**5\/5 - 46297*n**4\/5 - 535737297*n**3\/5 + 2679566193*n**2\/5 - 3215812806*n\/5 = 0 for n.\nAnswer: -23151, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 126390240 and 8840.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -3*w**3 - 2*w**2 + w. Let z be n(1). Let c be (-5 - z) + (0 - -1). Suppose -4*l + 17 - 2 = x, c = -4*l + 3*x + 3. Solve l*o - 6 = 3 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -795*w**3 - 8*w + 3*w + 846*w**3 + 5*w.\nAnswer: 51*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 k, and 1 s when three letters picked without replacement from {r: 1, k: 1, s: 2, n: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2311, -9260, -20843, -37060?\nAnswer: -57911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2029007 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b. Suppose 5*h - 19 = -3*q, -q = -4*q - 4*h + 14. Let i be m(q). List the prime factors of 3 - (i + (5 - 2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9016.41 microseconds to minutes.\nAnswer: 0.0001502735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 - 79*q**2 - 78*q - 172. Let s be t(80). Let b(z) = -z**3 - 13*z**2 - 14*z + 18. Give b(s).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 6*o + 1. Let v be c(-14). Let i = v + 82. Which is bigger: 0.002 or i?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34 (base 7) to base 16.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -30 + 50. Calculate the remainder when 78 is divided by o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1981?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2*w**3 - 9*w**2 - 918*w - 5596. Determine f(-6).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 11*y**3 - y**2 - 11. Let w be (0 + -1)\/(-6 - 25\/(-4)). Let j(c) = -6*c**3 + c**2 + 6. Let i(v) = -v - 3. Let l be i(4). Determine l*j(t) + w*u(t).\nAnswer: -2*t**3 - 3*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of 0*p**3 + 0*p**2 + 1\/170*p**5 + 32*p + 2 + 7\/51*p**4. Determine h, given that a(h) = 0.\nAnswer: -14, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 10) to base 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a day in hours?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - 3. Suppose 0*h + 3*u = 2*h - 8, 5*h - 30 = 5*u. Let a be 2\/(-20)*(s + h). Sort a, 4, -3\/2 in ascending order.\nAnswer: -3\/2, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -87 - 5 - ((1 + -11 - -17) + 9 - 12)?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of -m**5\/20 - 2*m**2 + 5*m. What is the first derivative of h(i) wrt i?\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1517629, 1517571, 1517511, 1517449, 1517385?\n\"Answer: -q**2 - 55*q + 1517685","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/5*(-5)\/10. Let p = 2\/23 + -60\/161. Let h = -1\/49 - -22\/49. Which is the nearest to m? (a) h (b) p (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-3)*(-17)\/(221\/78). Let d(k) be the second derivative of 1\/12*k**4 + k + 0 + 5\/2*k**o + k**3. Determine d(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -12884 - -3?\nAnswer: -12881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*g + 6792 = 11*g. Let x = -258 + g. What is the remainder when 33 is divided by x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or -48.6?\nAnswer: -48.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.007 times -0.1401471\nAnswer: -0.0009810297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 338045207?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zdd when three letters picked without replacement from {z: 3, y: 1, d: 3, q: 2, g: 1}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.2? (a) 0.4 (b) 1\/2 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-1) - (-14)\/2. Suppose 5*s = -4*q - 12, -4*q + 0*q + 8 = 0. Put s, j, 1 in descending order.\nAnswer: j, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -1021821?\nAnswer: 1\/1021821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**8*d)\/d)\/(d*d\/(d\/(d**(-2\/33)\/d))*d)*(d*d*d*d**11*d)\/d**9 assuming d is positive.\nAnswer: d**(431\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 26*m**2 - 3*m. Let v(u) = 2293*u. Calculate w(v(f)).\nAnswer: 136704074*f**2 - 6879*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5274?\nAnswer: 2, 3, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 701*w**2 - 701*w**2 - 15*w**3 + (-4 + 2*w**2 + 4)*(-5 + w + 5).\nAnswer: -13*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 9:12 AM?\nAnswer: 2:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 + 1 + 4 + 11. Let v be w(-7). Let u be (-1 - 12)\/((-2)\/4). What is the highest common factor of v and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4 and 972?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 48061 (base 14) in base 3?\nAnswer: 22221000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 127 = 2*a - 3*g, 0 = -4*g - 16. List the prime factors of a.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.9 times 4299\nAnswer: 3869.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 0*t**2 - 14*t - 2*t**2 + 6 + 5*t**2 - 2*t**2. What is the units digit of l(14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 + -905.8641.\nAnswer: -905.6641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3*(-1 + 14\/6). Let u(w) be the third derivative of -w**4\/12 + w**3\/6 - 32*w**2 - 2*w + 96. Calculate u(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, a: 11}. Give prob of picking 2 a and 2 j.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 4:47 AM?\nAnswer: 11:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of -s**7\/840 + s**6\/90 + s**5\/20 - 5*s**4\/24 + s**3\/6 + 3*s. Let l(i) be the second derivative of m(i). Calculate l(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10011101100001001000 (base 2) in base 10?\nAnswer: 645192","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 65*f + 12. Let q be v(12). Suppose 5*a = q - 587. Is 38 > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -53, -142, -231?\n\"Answer: -89*m + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f + 663. Let b(o) = 4*o - 1981. What is 2*b(i) + 7*c(i)?\nAnswer: i + 679","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 659 a factor of 102666435?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 565 or 591?\nAnswer: 591","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 542485 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(5 + (-147)\/30)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6265583?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19501865.\nAnswer: 5, 149, 26177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p - 3*p + 3*p + (-4*p + 2*p + 0*p)*(-3 + 2 + 4) + 2*p - 4*p + 0*p)*(-19 + 8 + 12).\nAnswer: -9*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -16056, -32038, -48026, -64020, -80020, -96026, -112038?\n\"Answer: -3*g**2 - 15973*g - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2, 1, -0.0924, -12, 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 8 = -2*t, -5*y + 27 = -t for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 963, -4, 2\/21, 4\/5?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 4*u = -0*u + 1367996, -1823998 = 4*l + 2*u. What is l rounded to the nearest 10000?\nAnswer: -460000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 223302 (base 4) to base 13.\nAnswer: 1377","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/71 and -22\/497.\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(66) + sqrt(66)*2 - sqrt(66)) - sqrt(66))\/((sqrt(12) - (sqrt(12)*-2 - sqrt(12)))\/sqrt(2)))**2.\nAnswer: 1331\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 529 divide 21633159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of q**6\/60 - q**5\/5 + q**4\/3 - 24*q**2. Let c(b) be the second derivative of z(b). What is the first derivative of c(g) wrt g?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1194.\nAnswer: 2, 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.06 and -135.\nAnswer: 8.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - 3. Suppose 3 = 2*t - 6*t + g*d, 5 = -2*t - d. Let w be t - -1*(23 + -1). Solve -5*c - 5*n + w = 0, 2*n + 4 - 11 = -3*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (10\/30)\/(3\/36). Let y = -1 + -2. Which is the nearest to n? (a) y (b) -2\/3 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 127570 times 1.92\nAnswer: 244934.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(242)*-2*2)**2*5 + (sqrt(324)*1)\/((sqrt(22)*-1)\/sqrt(11)).\nAnswer: -9*sqrt(2) + 19360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 589 - 83. Calculate the greatest common factor of 22 and k.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26186 + 26169 - 4*t + 26169 + 26176 - 104700.\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7059 by 1.\nAnswer: 7059","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -6*x**3 + 13*x**3 - 8*x**3. Let q(f) = -f**3 + 3*f**2 + 3*f - 3. Let v(y) = 2*d(y) + q(y). What is i in v(i) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a kilogram in grams?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -308*r + 9860. Determine u(39).\nAnswer: -2152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + -8. Let m be (-2 - i) + 4 + 4. Solve -2*d - 5*s = -15, d - m + 1 = 2*s for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 - 4*c - 7. Let r(m) = -m**2 - 3*m - 6. Let k(u) = -3*a(u) + 2*r(u). Let b(t) = t - 10. Let o be b(4). List the prime factors of k(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.285330478 rounded to two decimal places?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 - 2. Suppose y = -0*x + 3*x - 3, -3*x - 4*y - u = 0. Solve -3*g + v - 11 = x, 3*v = 3*g + 7*v + 1 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 - p. Let g(s) = -6*s**3 + 3*s**2 + 7*s - 4. Suppose -2*d - 1 = -11. Let v(y) = d*m(y) + g(y). Determine v(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -494 (base 11) to base 16\nAnswer: -24b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, i: 3, k: 5}. Give prob of sequence kkki.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -778.1 - -778. Which is the nearest to s? (a) -0.5 (b) 0.2 (c) -7\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -146 (base 7) in base 8?\nAnswer: -123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 218, 214, 210?\n\"Answer: -4*g + 222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(6\/25))\/(i*i*i**(-2\/17)\/i*i)*(i**(-6\/13))**(-2\/51) assuming i is positive.\nAnswer: i**(-6101\/5525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2*f**3 + 5*f**2 - 3*f + 3. Let n = -180550\/33 - -5470. Find the common denominator of u(3) and n.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -10092978, -40371926, -90836836, -161487702, -252324518?\n\"Answer: b**3 - 10092987*b**2 + 6*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.34 - 0.34. Let l(p) = -p - 3. Let z be l(4). Let y = 12 + z. Which is the nearest to -1? (a) 0.1 (b) y (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0.6, -4, 16\/63, 5\/4, -7\/3?\nAnswer: 16\/63","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1576 + -946. Is 9 a factor of ((-3)\/(-2))\/((-10695)\/g + 17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 5. Suppose 3*n + 5*s = 25, 0 = 3*n - 0*s - 4*s + 20. Suppose n = -2*i - 2*i + 8. What is the least common multiple of i and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22466 is divided by 7407?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-54))\/((-1035)\/(-1863)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of i**5\/60 - 3*i**4\/4 + 6*i**3 - 3*i**2 - 8*i. Is a(21) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 586, 1952, 4234, 7432?\nAnswer: 11546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -64 + 43610?\nAnswer: 43513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 + 2*i**2 + i + 4. Suppose -3 = 70*b - 71*b. Suppose h = 3*a - 2*h + 9, -a - b = 2*h. Give w(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -63342.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 24162002 a multiple of 325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2 - 0.7. Let k = 3.5 + w. Let h be 5*2\/(-15) + 0\/(-2). Sort 0.4, h, k in descending order.\nAnswer: k, 0.4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 60 - -36. What is the tens digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 32 and -15.\nAnswer: -480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 10 = -2*c, -4*o + c = -c - 26. Is 8918\/2 - (2\/1 - o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/14*((-342)\/(-81))\/((-3)\/9)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*(3 + (-18)\/(-3)). Let t(d) = 3*d**2 - 2*d + 4. What is the remainder when t(-3) is divided by -3*(-2 - 21\/j)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11101 = 18*c + 697. Calculate the lowest common multiple of c and 8.\nAnswer: 2312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7627668.\nAnswer: 2, 3, 635639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 8:24 PM?\nAnswer: 9:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of w**6\/360 - w**4\/3 + 5*w**3\/3 - 9. Let u(g) be the third derivative of z(g). Differentiate u(c) wrt c.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 371646 - 48?\nAnswer: 371598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 27 + 9. Let p be 1\/((0 + 3)\/o). Let r be 2 + 24\/((-2)\/(-1)). Solve -3*v - 11 + 1 = 2*z, -4*z = p*v + r for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**4\/4 - 1749*a**3 - 12256965*a**2\/4 - 36645075*a\/2.\nAnswer: -a*(a + 6)*(a + 3495)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (30 - 352 + 187)*(3 - 3 + 5*g + (3 + 0 - 1)*(0*g - 2*g + 3*g))*(-3 - 3 + 0) in the form s*g + o and give s.\nAnswer: 5670","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - 9 - (-2 - -1 - -2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q + 22. Let n be a(0). Is 1\/(((-2)\/(-1))\/n) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 308850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.36 + -15.04. Let o = -12 - r. Let q = o + -3. Round q to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -18*z + 77. What is j(5)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000 + 100110011000011?\nAnswer: 100110011001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/4 - 225\/12. Let r = y - -28. Calculate the remainder when 25 is divided by r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 7) to base 14\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 0, 4, -5, 5, -1 in increasing order.\nAnswer: -5, -1, 0, 4, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/8880487?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304) + -2)*5 + 4*(0 + sqrt(304) + sqrt(304)).\nAnswer: -10 + 52*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 + b**2 + b - 2. Let a be h(-2). Suppose -3*y = -4*u + a + 9, 0 = -4*y + 4*u - 16. Suppose -n + y + 4 = 0. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 PM and 3:55 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3277.7 * -1.5\nAnswer: -4916.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llll when four letters picked without replacement from llmlmll.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 AM and 1:43 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*16\/224*1*-2?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 38 + -27. Let q be (2\/(-4))\/((-2)\/120). Let d = 13 + q. Calculate the remainder when d is divided by b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134*r = 119*r + 120 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2743 is divided by 29.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1222003 (base 4) to base 3.\nAnswer: 100022101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-3*sqrt(2592)*-3 + (sqrt(2592) + -3 + sqrt(2592))*6)**2.\nAnswer: -27216*sqrt(2) + 1143396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 2*l = 14 - 2, 3*y - 24 = -5*l. Suppose -u = -y*u + 34. Suppose 15*d - u*d = -28. List the prime factors of d.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 5) in base 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3133 + -123231?\nAnswer: -120032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1148 + -680. Let c = -739 + 434. Let j = k + c. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -m + 9. Let j(q) = q**2 - 2*q + 4. Determine j(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(2 - 32\/14). Suppose 4*n = p - 2 - v, -8 = 4*n. Which is smaller: 3 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 1145 = -5*z, -10*m + 12*m - 229 = z. Let w = 454 + z. List the prime factors of w.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -2*j + 380, -504 = -4*j - 5*h + 270. Suppose 139 = 3*q - j. Let p = 149 - q. List the prime factors of p.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/35))**19*(g*g**(-6)*g)\/g*g\/(g\/((g\/g**(-10\/3))\/g)*g)*g assuming g is positive.\nAnswer: g**(-289\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9*(-91)\/(-585)*2\/(-21)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -147061 and -0.1?\nAnswer: 14706.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 50 = -5*f, -347*p + 342*p - 15 = 2*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -x - 4 + 6 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6970*k - 6970*k + 240*k**2.\nAnswer: 240*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*s, s = -5*r - s + 127. Which is bigger: r or 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y + 5*y - 127 - 15*y - 16*y + 366. What is l(9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a millimeter in micrometers?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6660.761 litres to millilitres.\nAnswer: 6660761","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -8 + 3 + 69\/15. Which is the closest to i? (a) -1 (b) -0.06 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-408)\/(-18)*(-6)\/(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8089 + -8094. Let z = -4.6 + -2.8. Let i = z + 7. Which is the nearest to 0? (a) -3 (b) d (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 176979463.\nAnswer: 1319, 134177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.37389? (a) -1 (b) 4 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 1)*(2*y + 44 + 36 - 76) - 3*y + 6*y - 4*y + (0 + 1 - 2)*(7*y - 3 + 3).\nAnswer: -6*y + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 915447 and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2687?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f - f**2 - 7*f**2 + 4*f**2 - 11*f. Let y(s) = 5*s**2 + 10*s. Determine -6*n(l) - 5*y(l).\nAnswer: -l**2 + 4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -282\/65 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25.9 + 25.5. Which is the closest to 0.06? (a) 2\/7 (b) z (c) 1.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 14648, 12307, 9966?\n\"Answer: -2341*a + 16989","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -202*z - 48*z - 423*z = 203*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5259034 + -11559034. What is p rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -321 and 1892309.39.\nAnswer: 1891988.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 - 3*k - 2. Calculate b(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.072 times -3588?\nAnswer: 258.336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11.7835851 + 11.66059. Let w = -0.1229 - q. Round w to five dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 2*b - 100, -b - 3*y = y - 74. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -22*u + 115. Let j(c) = 37*c - 230. What is -6*j(m) - 10*t(m)?\nAnswer: -2*m + 230","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ga when two letters picked without replacement from gggggagagaggag?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -137 at least as big as 112848?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 615 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 PM and 1:12 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -380 = -11*m - 336 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1))**(-6\/7)\/(x**(2\/13)\/x*x*x**(-1\/2)*x) assuming x is positive.\nAnswer: x**(37\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*m - m + 5*y + 44, 0 = -4*m + y + 195. Suppose -1 = -5*w + m. Find the third derivative of 5*g**2 - 2*g**6 - w*g**2 - 3*g**6 + 2*g**2 wrt g.\nAnswer: -600*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 5498*p + 1154584. Calculate r(-210).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -255*d**5 - 2*d**3 - 686*d**2 wrt d.\nAnswer: -15300*d**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -57 + 58. Is (y\/4)\/((-11)\/(-213884)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.1412 + 72.9368. Let g = -76 + i. What is g rounded to 2 decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(208)*1 - sqrt(208))\/(-3*sqrt(4)*-1))\/((1*sqrt(800))\/(sqrt(8) + sqrt(24)\/sqrt(3)*6 + sqrt(8))).\nAnswer: 8*sqrt(13)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -341*x + 10*i = -342*x + 158, 0 = -4*x - 4*i + 56 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 2932.\nAnswer: -1\/2932","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 v when three letters picked without replacement from vqkjjv.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 802228812.\nAnswer: 2, 3, 7, 11, 43, 61, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*r**4 + 6 - 6 - r**3 + (-r**2 - r**2 + 0*r**2)*(2*r**2 + 375*r**2 + 565*r**2) to f*r**4 + h*r**3 + j*r**2 + u*r + n and give f.\nAnswer: -1886","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 30750, 30751, 30752, 30753, 30754, 30755?\n\"Answer: v + 30749","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 548\/50 - (25 - 223)\/(-18)?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 PM and 7:19 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -53.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 + -28. Let b be (3\/4)\/(x\/(-2)). Find a, given that 0*a**2 + 0 + 0*a**3 - 1\/4*a**4 - b*a**5 + 0*a = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 29, 2, -4, 3 in ascending order.\nAnswer: -4, -1, 2, 3, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 266430\/5810 + 204\/(-4)\nAnswer: -36\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**3\/9 + 166*h**2\/9 + 338*h\/9 + 170\/9 = 0. What is h?\nAnswer: -1, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(1377) + sqrt(1377)*-1 + sqrt(1377) + sqrt(1377)) + sqrt(1377))*4 - -5*(sqrt(1377) + -2 + 2*sqrt(1377)))**2.\nAnswer: 2340*sqrt(17) + 232813","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 + (-8)\/((-6)\/3). Let n(u) = -2*u - 5*u**2 + k - 5*u + 5*u. Let f be 1 + (0 - -1 - 1). Give n(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9061 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -755*y = 63162 - 29187 for y.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b**2 - 3*b. Let u be k(3). Let z(c) = -c**3 + 8*c**2 + 9*c + 9. What is the least common multiple of z(u) and 11?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 11\/3, 1\/2, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.891759 to 3 dps.\nAnswer: -8.892","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 2*b - 2, -5*h + 120 = 4*b. Suppose h*r = 25*r. Solve r = -z - 4 + 1 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10*a**2 + 9*a**2 - 4*a**2)*(2183*a - 32 - 2182*a - 25) to the form h*a + p*a**3 + m + y*a**2 and give y.\nAnswer: -855","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 21, -0.3, -7131?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/2 in 5, 3, 68, 10, 0.2, -9\/8?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6307.\nAnswer: 7, 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-102 - -92) + 17 + 2 + 1 + 4.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6078638?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2841?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -66.095 - -66. Let u = k - -0.0949862. What is u rounded to six dps?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (2 + 6 - (1 - -2)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - 9\/6) + -24 + 1. Let j = g - -24. Factor 3\/2*f**2 - 3\/2*f**3 - j + 3\/2*f.\nAnswer: -3*(f - 1)**2*(f + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 897987 is divided by 889?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 = -3*q - 3*b, 296*q - 37 = 593*q - 293*q + b for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - (-1)\/(-1)*-1. Let m = 0 + 5. Let j = -3.7 - -4. Sort o, j, m.\nAnswer: j, o, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1810247733 to the nearest integer?\nAnswer: 1219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -125\/26646 or 0?\nAnswer: -125\/26646","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/(-27))\/((-28)\/(-210))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 8*k**2 + 2680*k - 2708. What is v(-336)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*z - 2*y - 15 = -25*z, 18 = -z - 5*y for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 12:28 AM?\nAnswer: 2:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 527*m**2 - 171*m**2 + 137*m**2 + 335*m**2. Let k(t) = t**2. What is v(k(g))?\nAnswer: 828*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of -i**4\/20 + 2*i**3\/15 + 4*i**2\/5 - 271. Factor j(q).\nAnswer: -q*(q - 4)*(q + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101110011100111010 - 10110001?\nAnswer: 101110011010001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.076 and -0.5.\nAnswer: 0.038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10230 + 0?\nAnswer: 10230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 + 4*q**2 - 1326*q - 3962. Determine z(-3).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of 5*w**2 + 0 + 0*w**3 + 0*w - 1\/100*w**6 + 2\/75*w**5 - 1\/60*w**4. What is a in i(a) = 0?\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 2 = 2*r, 3*y + 9*r - 7*r + 14 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jrrrjrrrr. Give prob of sequence jrjr.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 14 + -10 - (-5 + (3 - (14 + -4)))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 20*m**2 + 9*m - 7. Let t be d(-2). Is t at least -16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 10284*s**3 + 15692*s**2 + 6068*s + 660 = 0.\nAnswer: -1, -1\/3, -165\/857","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1980 + (8 + -9)*9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -5*q + 50688 + 33356, 5*v = 4*q - 67237. What is the thousands digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2164143?\nAnswer: 3, 721381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 + -11. List the prime factors of (-2 - (n + 2))*-13.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 597429*n + 543459*n - 3.\nAnswer: 1140888*n + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 4*h + 647 = 2*h, -n = -3*h + 642. Let z = -637 - n. Calculate the greatest common factor of 3 and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 5 = 0, -6*v + 5*s + 5805 = -v. Suppose -v - 1163 = -5*u + 2*m, -3*m + 1416 = 3*u. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2748d277 - 3?\nAnswer: 2748d274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 p when three letters picked without replacement from {z: 1, g: 1, p: 2, j: 2, s: 1, q: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -4 (b) -0.4 (c) 2\/17 (d) -0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9843913 - 4921988 + 2*r**2 - 4921925.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that a**4 + 358*a**3 - 1093*a**2 - 3610*a = 0.\nAnswer: -361, -2, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -r + 2*h + 2*h, 0 = r - 3*h + 6. Let j be r\/(-18)*(0 + 4). Let b = -1.6 - 0.4. What is the second biggest value in j, b, 5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*q = 5*q + 141 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v, 1 h, and 1 p when four letters picked without replacement from hhhhphhhhhhhvhhhv?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -275 and 307.\nAnswer: -84425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1699, -3754, -6207, -9058, -12307?\n\"Answer: -199*z**2 - 1458*z - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 12*k**4\/5 + 4077*k**3\/5 - 55944*k**2\/5 + 64563*k\/5 - 12708\/5 = 0.\nAnswer: -353, 1\/4, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.5, 3, 0, -6, -1\/5, -0.03, -24?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - 4d4d425?\nAnswer: -4d4d42a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.01 + 1.01. Which is the fourth biggest value? (a) r (b) 0.5 (c) -2\/5 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3169320113?\nAnswer: 283, 1223, 9157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h**2 - 2*h**2 + 115*h + 2*h**2.\nAnswer: -2*h**2 + 115*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11898 = 3*s - j, -4*j + 7949 = 2*s + j. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*b**2*d**5 + 6*b**2*d + 2*b**2 - 8*b*d + 28938*d**5 + 171 wrt d.\nAnswer: 40*b**2*d**3 + 578760*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(1\/2)*l*l*l\/(l\/((l\/(l\/l**(-10)))\/l))*l*l**5*l**(1\/14) assuming l is positive.\nAnswer: l**(-17\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1201112 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/7 + -4*318\/(-14). Let p = -89 + b. Suppose -1032 = p*w - 6*w. Is 41 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4662 and 19.\nAnswer: 4681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 1 = -2*o + 2, -o = 2*g + 1. Solve 0 = -3*h - 2*p + 7 - o, 15 = -4*h + 5*p for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 10, 239, 25, -24 in decreasing order.\nAnswer: 239, 25, 10, 5, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 73\/5 of a milligram?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 5*y - 60 = 0, 0 = -5*h - 20953*y + 20956*y - 66 for h.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o**5 + 91*o**4 - 916*o**3 + 2896*o**2 - 1216*o - 5120 = 0.\nAnswer: -1, 4, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, -102, -255, -480, -783, -1170, -1647?\nAnswer: -2220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-3))\/(52\/78)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 6048665.28ns?\nAnswer: 0.0000000100011","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5166.2 times -5\nAnswer: -25831","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + -86?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 58 - 50 - (28 + 5)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1815)\/99 + 10)*21\/(-245)?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 973074612 and 3804?\nAnswer: 3804","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from odooodudo. What is prob of sequence oouo?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4384615 is divided by 103?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 224*h + 219*h + 186*h - 630*h.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 3*l**2 - 7. Is v(6) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8964 and 996.\nAnswer: 8964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 2*b**4\/7 - 6*b**3 + 90*b**2\/7 + 1378*b\/7 + 2028\/7 = 0.\nAnswer: -3, -2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*q - 3*q + 39 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 23004671531 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of -2*g**4 - 14*g**3\/3 - 231*g - 46. Differentiate f(d) with respect to d.\nAnswer: -24*d**2 - 28*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1417*j**3 + 437*j**4 + 1417*j**3)*(2 - 2*j - 2).\nAnswer: -874*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 293 is divided by 17.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-8187)\/(-6) - -7)\/((-2)\/(-4)). Let m = b + -1469. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 515177\/7 - 73835. Let i = 239 + r. Which is bigger: i or -2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of -f**6\/15 + f**3\/2 + 2*f + 1. Let i(s) be the first derivative of t(s). Find the second derivative of i(k) wrt k.\nAnswer: -24*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 104\/(-13) + 13 + 0 + -2. Solve -5*u - 2*d = -3*d - 17, -a*u + 7 = d for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3557561 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 i when three letters picked without replacement from vihxvvvsvvrxsvv.\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 315\/10 - 3\/6. Suppose r = -w - r + p, 99 = 5*w - 4*r. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/(-4))\/(3\/966). Let b be x\/14 - 1\/2. Let u = b + 0. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(110)*-2)\/(sqrt(720)*-1))\/((sqrt(891) - sqrt(891)*2 - sqrt(891))*3 - -3*(sqrt(891) - -1*sqrt(891) - sqrt(891))).\nAnswer: 2*sqrt(2)\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -3*h + h**2 + 0*h**2 + h - 12. What is the remainder when l(-6) is divided by (-8 - 3)*-1 + 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 - 2*j. Let g(i) = i + 1. Let s(z) = 7*z + 7. Let o(w) = 6*g(w) - s(w). Suppose -392 = 12*v + 184*v. Determine v*o(q) + y(q).\nAnswer: q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -111119310*t - 167703169?\nAnswer: -111119310","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 790 + -107. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 95 - 89. Solve 0 = 3*b - a*b - 6, -2*p - 4*b = -2 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 2*l - 120. Suppose -2*g - l = -5*g. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, f: 1, n: 1, w: 1, s: 2, t: 1}. What is prob of picking 1 j and 1 w?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -6*n**2. Let u(w) be the second derivative of 52*w**3 - w**2 - 10673*w. Determine l(u(h)).\nAnswer: -584064*h**2 + 7488*h - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1*4\/(4\/19) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 6*a**2 - 244*a + 196. Does 192 divide z(-42)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(7\/5)\/a)**(-33)\/(a*a**(-1\/9)\/a*a*a*a**(-30)) assuming a is positive.\nAnswer: a**(671\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5.7 + -21.3. Let w = 222.3 + -195. Let y = w + b. What is the third smallest value in -0.3, y, 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -4*o**3 - 2*o**2 - o. Let n be d(-1). Suppose -4*i + 5*j + 15 + 48 = 0, i = 5*j - n. Does 11 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = x - 4*a - 9524, 4*x - 9510 = 2*a. Calculate the remainder when x is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of -z**6\/24 - z**5\/6 + 5*z**4\/8 - 4*z**2 - 9. Factor d(u).\nAnswer: -5*u*(u - 1)*(u + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -217*g - 142*g = 8975 for g.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of -131*c**9\/72 - 43*c**5\/15 - 106*c**2 + 3. Find the third derivative of g(o) wrt o.\nAnswer: -110040*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22560*u - 22559*u - 4*u**2 + 45119*u.\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2070 + 2074. Put -161, 1, n, -3 in ascending order.\nAnswer: -161, -3, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/57 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.5 and 79340845.\nAnswer: 79340844.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6823\/39 - -122\/13. Let a = 4077\/22 - k. Calculate the common denominator of a and 87\/10.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of -y**4\/6 + 11*y**3\/6 - 14*y**2. Let r(u) = -u + 3. Let i = -620 - -869. Let c = i - 227. What is c*r(o) - 6*p(o)?\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 11270 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 9) to base 6\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-520)\/(-286) + 4\/22. Factor -1\/2*l + 1\/2*l**v + 0.\nAnswer: l*(l - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -133657 (base 8) to base 5.\nAnswer: -3001043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/p**(-10)*p*p*p*p**(3\/2)*p**(-1\/2)*p**(1\/2) assuming p is positive.\nAnswer: p**(31\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0783651523*0.4.\nAnswer: 0.03134606092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2251, 4482, 6713, 8944, 11175, 13406?\n\"Answer: 2231*k + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 34375?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 + 9*p**2 + 14*p - 28. Let f be (104 + -116)*(2\/4 + 0). Give m(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99796*v**2 + 26*v**3 - 99796*v**2.\nAnswer: 26*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/21)\/((-51)\/(-119))?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 1174*j**2 + 2*j - 6. Let s(t) = 1175*t**2 + 2*t - 5. Calculate 7*b(p) - 8*s(p).\nAnswer: -1182*p**2 - 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 20 + 0 + 0)*(0*t + 6*t + t).\nAnswer: -161*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23143034?\nAnswer: 2, 61, 189697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 AM and 11:27 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*104\/(-16) - -17. Solve -3 = -5*j - v*r + 18, 4*r = 3*j - 19 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 854 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 93533637 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: Let d(i) = 3*i + 4*i**2 + 2*i**3 - 2 - 2*i**2 - 3*i**3. Suppose -z = 6*z - 7. Let g be d(z). Solve -2*y + g*l = 0, y + y = 4*l - 4 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 53348285 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 1*(2 + sqrt(700) + 5 - (sqrt(700) + -4)*3))**2 + -3.\nAnswer: -840*sqrt(7) + 3238","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 divided by -11.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 16\/(-144)*(-18)\/4*(-12)\/3 - -39\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a kilogram in grams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 39 = -5*d - 54 + 63, -3*d + 3*z = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 459*z + 14728. What is the remainder when 3158 is divided by t(-32)?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t**2 + 1 + 11 - 12.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 825?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4218?\nAnswer: 2, 3, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, i: 2, y: 1, v: 6}. What is prob of picking 1 v, 1 x, and 1 y?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45611*j + 131852*j + 24517*j.\nAnswer: 201980*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 61 - 17 - 41 - -12.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1132*w + 1138*w = 0. Let o be -3 + 1 + 36\/22. What is the closest to w in -0.1, o, -0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 349 = -7*x + 2*d, -59 = -x - 5*d. Suppose 45*m + 6*m - 24 = 1659. What is the lowest common multiple of m and x?\nAnswer: 759","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - 56290?\nAnswer: -56295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.058 and 34324.1.\nAnswer: -1990.7978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 2 k when four letters picked without replacement from jknnknnjnnkn.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132 is divided by 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 205*d - 121310 = 654410. Solve -40 = d*m - 3779*m for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126522 is divided by 673.\nAnswer: 671","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 670*g + 6926 + 1236 = -10598 for g.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 2*g + 14*m, g + m = 4*m - 8 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 25623892237 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.008? (a) -1213 (b) 2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from {w: 4, u: 3, n: 1, y: 7, b: 2}?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 651 divided by -9439\nAnswer: -651\/9439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -0*z + z + 4*v, -3*v - 16 = z. Is 18212\/(-2)*z\/26 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*l = -48*l + 552. Suppose 4*s - 4 = 4*y, 3*y - 17 = -3*s - y. What is the remainder when l is divided by s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3015 - -3010. Suppose 2*m = f - 40, -113 = 3*m + 2*m + 4*f. Put 0, t, m in ascending order.\nAnswer: m, t, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 180\/(-15)*(-147)\/(-6). Let h be 18\/231*73 - n\/(-539). Solve -162\/7*q + 0 + h*q**2 - 2\/7*q**3 = 0.\nAnswer: 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -3, -5\/3, -2\/63?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 - -18. Let c(y) = y**2 - 7*y + 7. Let b be c(6). Let -s*h + b - 3*h**2 - 5 + 1 = 0. What is h?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*s + 31*s = -29*s - 1472 for s.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26 and 46700641?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4759.5 + 4760. Put v, -3, -2975 in descending order.\nAnswer: v, -3, -2975","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12775190?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 2*t + 10, 0 = 4*l - 3*t - 2*t - 25. Let v = 1 + -3. Let u = 0.08 - 0.38. Which is the nearest to l? (a) u (b) v (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 62, 63, 60, 53, 42?\n\"Answer: -2*u**2 + 7*u + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 231701?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -15805.4 to the nearest one hundred.\nAnswer: -15800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 460 and 32?\nAnswer: 3680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of q**3\/3 - q**2\/2 - 1949. Let m(b) = 2*b**2. Calculate h(m(a)).\nAnswer: 4*a**4 - 2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/11? (a) 3\/5 (b) -1 (c) -27 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 77, 132, 187, 242, 297, 352?\nAnswer: 407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 16*y**2 + 1 - 6*y**2 + 28 wrt y.\nAnswer: 20*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -113 + 188 + -43 + 2\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.12 + 0.88. Let u = -448.0998 - -447.1. Let j = s + u. What is j rounded to 3 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-5))\/(13\/(-325)*(-3)\/(-3)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -29*n**3 - 17 + 26 + 5*n - 3*n + 30*n**3 + 19 in the form w*n**3 + r + j*n**2 + z*n and give r.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -52, -81, -114, -151, -192, -237?\nAnswer: -286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 - 42*y**2 + 47*y - 247. Determine b(41).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 + 8*j**2 - 12*j + 4. Suppose 12 - 6 = l. Let k be a(l). What is the second derivative of -34*s**k + 28*s**4 + 2 - 28*s - 2 wrt s?\nAnswer: -72*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 AM and 3:22 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20\/30 - (-146)\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 0)*(-3*z**2 + 5*z**2 - 2*z - z**2 + 2).\nAnswer: -2*z**2 + 4*z - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 63769000 to the nearest one hundred thousand.\nAnswer: 63800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from {v: 1, x: 1, l: 1, u: 3, b: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.07 times -146\nAnswer: -10.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2010 (base 3) to base 16.\nAnswer: -39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -7*v**2 + 11*v + 28. Let r(z) = -2*z**2 + z + 7. Let n(w) = -4*r(w) + u(w). Let a(x) = 2*x**2 + 22*x. Give 2*a(k) - 7*n(k).\nAnswer: -3*k**2 - 5*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.524234 to two dps.\nAnswer: 2.52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fsoqfllh. Give prob of sequence hq.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -2183?\nAnswer: 873.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/4140 and 62\/38727?\nAnswer: 17814420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1003422014 - -404?\nAnswer: -1003421110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ze when two letters picked without replacement from {z: 1, y: 1, e: 4, g: 1, b: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/6)\/(2\/8). Suppose -m - 9 = 3*f, -3*f + 3 = g*m + 6. Does 2 divide ((-4)\/m)\/((-2)\/15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1995*k + 1946*k - 354690 for k.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l**(4\/7)\/l*l*l**(1\/3)*(((l\/l**(2\/47))\/l)\/l*l*l)\/(l\/l**2))**(-20\/3))**27 assuming l is positive.\nAnswer: l**(-287940\/329)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 20873 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 8, z: 2}. Give prob of picking 2 d.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*v = 26*v + 6 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5049 + 5044. Let u(r) be the first derivative of -7*r**4\/24 - 5*r**3\/6 + r**2\/2 + 3. Let a(q) be the second derivative of u(q). Determine a(l).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3 + 2 - 6) + 0)*-1 - (50 + -45).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1388\/392 - 5 - -2. Let d = f + -2\/49. Factor -d*w - 1 + 1\/2*w**2.\nAnswer: (w - 2)*(w + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*y - 109209 = 145787 + 69955. What is the remainder when y is divided by 61?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three fifths of a decade?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, -7, 4 in descending order.\nAnswer: 5, 4, 1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.143221 and -2.8.\nAnswer: -2.656779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 212.5 + -212. Sort s, -2\/11, -2, -3 in decreasing order.\nAnswer: s, -2\/11, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -6*v - 2. Let u(j) = j + 1. Let x(z) = 3*f(z) + 12*u(z). Let m(n) = -7*n + 5. Let o(h) = -7*m(h) + 6*x(h). Does 7 divide o(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11*k + 19*k - 1 - 1)*(-k - 5*k + 2*k)*(2 + 0 + 2) as u*k + m + z*k**2 and give z.\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -22\/9 (c) -6 (d) -40 (e) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 6 - 3 - -7 - (16 + 25 + -8)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 23398488 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 117\/2000 and -41\/1250.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 982 and 15960937.\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -1057*j + 10141. Let s be t(-9). What is the highest common divisor of 62 and s?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -6661*d. Let a(r) = 6838*r + 6 - 6835*r - 6. What is a(j(c))?\nAnswer: -19983*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 3 b when four letters picked without replacement from hbbbhdddddbhhdbddh?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -913*u - 1831. Determine x(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 bigger than -3720?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -644*a + 1293*a - 623*a + 66. Let l be y(9). Calculate the highest common divisor of 36 and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -3*q**3 - 5*q**2 + 7. Let v(b) = 4*b**3 + 6*b**2 - 7. Let z(g) = -5*i(g) - 4*v(g). Let m(y) be the first derivative of z(y). Give m(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -422020 - 11?\nAnswer: -422031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(180\/162))\/((-60)\/(-200))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 14*b - 180. Give m(13).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 5 = g, 0 = 5*l - 2*l + 4*g - 13. Let v(c) = 10*c**3 - c**2 + 1. What is v(l)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2892404, 2892408, 2892414, 2892422, 2892432, 2892444?\nAnswer: 2892458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 122111220 + 101010111?\nAnswer: 1000122101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 + 32*w**2 + 29*w - 4. Let h be s(-31). Suppose 64*a = h*a + 756. Does 7 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*h**3*k + 1872*h**3 - 1907*h**2*k wrt h.\nAnswer: -12*k + 11232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*b - p, -3*b = -3*p + 4*p - 3. Let s be -2 - -5 - (b + -1). Let m be (-8)\/((-8)\/(1 + s)). Solve -2*f - 5 = l, -22 + 67 = m*l - 5*f for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -8*h - 1. Let t(l) = -l**2 - 16*l - 3. Determine 3*t(u) - 7*z(u).\nAnswer: -3*u**2 + 8*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6 + -710422?\nAnswer: -710416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 543735?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 252 is divided by 53.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -232262 + 39292*b**2 + 464523 - 232261 as r*b + p + z*b**2 and give z.\nAnswer: 39292","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 AM and 5:47 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -35 + 34 + (7 - 0\/(-1)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l*l**(4\/5)*l)\/l)\/l**2)\/((l**(3\/2)\/l)\/(l\/(((l\/l**8)\/l)\/l))))**41 assuming l is positive.\nAnswer: l**(3813\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zv when two letters picked without replacement from {z: 1, v: 1, g: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 38 and 1189552?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1060*a + 529*a + 594*a.\nAnswer: 63*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.71 and 0.0512.\nAnswer: -0.087552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 6*m + 256. Let y = 100 + m. Suppose -4*k + y = -0. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven sixths of a decade?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7.47512 - -7.42. Let m = 0.056 + q. Round m to four dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f**5 + 44*f**4 - 152*f**3 + 136*f**2 + 156*f - 180 = 0.\nAnswer: -1, 1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18 + 6*w + 9*w - 21*w**4 - 144*w**4 - 16*w wrt w?\nAnswer: -1980*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -763*v**4 + 39583*v**2 + 204263923*v?\nAnswer: -9156*v**2 + 79166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4517\/365 + -356\/365. Let y = 1551\/148 - -3\/148. Find the common denominator of q and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(448) + (1*sqrt(448))**2 - sqrt(7) - 2*sqrt(7)*3.\nAnswer: sqrt(7) + 448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**2 - 2*h + 0*h + h)*(-135*h - 338*h + 37*h + (2 - 2 - 1)*(2 - 2 - 2*h) - h + 4*h - h).\nAnswer: -864*h**3 + 432*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 342, 314, 264, 192, 98?\n\"Answer: -11*z**2 + 5*z + 348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17592?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p**3 + 11*p**2 - 6*p + 7. Let c be s(5). Let q(u) = -5*u + 2*u - 38*u**2 + 40*u**2. Give q(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85380.83 millilitres to litres.\nAnswer: 85.38083","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -55*m**3 - 21*m**2 + 15*m - 11. Let o(l) = 11*l**3 + 4*l**2 - 3*l + 2. Let x(u) = 11*o(u) + 2*p(u). Let n = 53 + -51. List the prime factors of x(n).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -5*b + 47. Let r be i(9). Calculate the highest common divisor of 1 and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -0*v - v - 30, 2*w + 2*v - 20 = 0. Let c(r) = -2*r**3 - 4*r**2 + 7*r + 13. Let j = -14 + 10. What is the remainder when c(j) is divided by w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 108 = -0*a. Let p = a + -56. Let d = 4 - p. Solve 2*h = 4*h - d for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89760.67 rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + (-1 - 2) + 4. Let l = -3 + p. Is l <= 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2270493 is divided by 134?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**4\/5 + 154*k**3\/5 + 90*k**2 + 446*k\/5 + 148\/5.\nAnswer: 2*(k + 1)**3*(k + 74)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 815663 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of -5\/12*l**4 + 0 + 1\/20*l**5 - 5\/6*l**3 + 4*l - 3*l**2. Give i(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1788553171 minus 6.45?\nAnswer: -1788553177.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -27? (a) 71\/5 (b) 19\/5 (c) -3\/2 (d) -6\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a century in years?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 403 - 807\/2. Which is the third smallest value? (a) s (b) 2 (c) 17 (d) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 402?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 8*t**2 + 6*t + 1. Let d(v) = 10*v**2 + 5*v. Let b(x) = 3*d(x) - 4*y(x). Calculate b(-6).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3112*n - 2203*n + 2081*n - 5880*n.\nAnswer: -9114*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3599 - -3617. Let p(y) = -y**3 + 19*y**2 - 18*y - 21. What is p(q)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -2*f**3 + 204*f**2 + 11*f - 1082. Determine z(102).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80914 is divided by 289.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a + 2b6?\nAnswer: 2ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45*4173.\nAnswer: -187785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*g**3 + 51*g**3 + 23*g**3.\nAnswer: 29*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**13\/((r\/(r*r\/(r*(r\/(r\/(r*r**(-4)))*r)\/r)))\/r))\/(r**(-2\/5)\/r*r\/r**(1\/9)) assuming r is positive.\nAnswer: r**(788\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2136.3459us in minutes?\nAnswer: 0.000035605765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -122 - 663489?\nAnswer: -663600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78)\/(sqrt(486) - (sqrt(486) + sqrt(486)*2)))**2.\nAnswer: 13\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4465308 less than or equal to 4465306?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (-1 + 0)) + -14 + 22 + -13.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 67161*f**2 + 46868*f.\nAnswer: 134322","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 5*d**2 - 6*d + 8. Is o(7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/162 and -107\/36?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.4 - 5. Let q = -29.7 + 29.7. Which is the closest to q? (a) s (b) -3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3\/3 - o**2\/3 + o\/3 + 1\/3.\nAnswer: -(o - 1)*(o + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3682 - -3658.29. Let v = -0.1052 - -1.4152. Let k = q + v. Round k to zero dps.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*y**2 + 7*y**2 + 2*y**2 - 7 + 7*y**2 to the form q + a*y + j*y**2 and give q.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a kilometer in meters?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -92*k + 90*k. Suppose 0 = -2*m - k*m + 120. Suppose a + 0*r = 5*r + 15, -5*a = -r - 51. Which is smaller: m or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + -1)*5 + ((1*sqrt(567) - sqrt(567)) + sqrt(7) - sqrt(7)) + (sqrt(252) + 1*(sqrt(252) + 1) + sqrt(252) - 1*(1*sqrt(252))**2).\nAnswer: -256 + 23*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 273*l - 3 + 306*l + 1 - 133*l in the form g + n*l and give n.\nAnswer: 446","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 424684710?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 23, -1, -35, -85, -157?\n\"Answer: -b**3 + b**2 - 20*b + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + 7)*(8 + -4)\/(-4 - 0).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -671306 + 19*p**3 + 671306.\nAnswer: 19*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/(-24))\/((-2)\/(-1))*(-33)\/((-363)\/(-22))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(1\/9)*s)\/s*s**1*s**(-2)*s**(-3\/8))**(7\/5) assuming s is positive.\nAnswer: s**(-133\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 + -32 - 194\/9 - -14?\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 2:34 AM?\nAnswer: 4:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -30b - 65?\nAnswer: -374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -6470\/1431 greater than -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 1898?\nAnswer: 7592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 107441 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -117 - -121. Suppose p - 4*p - 3 = -2*x, -3*x = -s*p - 4. Suppose 2*m + m - 288 = x. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1301288 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 4*q = -263, 0 = 8*f + 13*q - 28*q + q - 380 for f.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, -3\/7, -4, -51, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 495 is divided by 165.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.4 and 1375.8.\nAnswer: 1375.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 - 2*d + 36. Suppose 5*n - 24 = -2*p, -p + 0*p + 4*n + 12 = 0. What is the remainder when a(p) is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -9548*n = -9543*n - 36265. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 4*c + 6. Let w be m(-4). Let x be 2\/(-5) - 114\/w. Let q = 18 - x. What is the highest common factor of q and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/25 - -3) + (247632\/2240 - 111)?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4268 - -4282. Let d = 1265 + -470. What is the remainder when d is divided by f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16597 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -u - 0*u + 2*m, 3*u - 59 = 5*m. Suppose 1025 = 14*i - u*i. List the prime factors of i.\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25 - 14. Let f = j + -11.00036. What is f rounded to four dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 344 = 4*h, -3*f - 4*h + 141 = -59. Is 17 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -104805413\/340 - -308251. Find the common denominator of n and -25\/4.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 12:27 PM?\nAnswer: 10:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of -d**6\/60 + d**4\/6 + d**3\/6 - 5*d**2. Let w(y) = 2*y**3 - 5*y - 2. Give 3*v(s) + 2*w(s).\nAnswer: -2*s**3 + 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7*k - 8*k**2 + 0*k**2 + 7*k**2 + 23*k - 48 + 12 wrt k?\nAnswer: -2*k + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.8641 to 1 decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 12, 63, 198, 459, 888?\n\"Answer: 7*v**3 + 2*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 10 = 3*f. Suppose -f*o + 130 = -75. List the prime factors of o.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - u + 5*r + 30 = 0, 5*r = -u - 6. Let d(w) = -7*w**2 - 12*w - 1. Let k(x) = -3*x**2 - 6*x. Let h(n) = 4*d(n) - 9*k(n). What is h(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 10 = -2*h, -3*v + 4 = -2*h + 11. Let i be h\/(-3) + (-5)\/15. Let r = i + 2. Put 0.2, 1, r in descending order.\nAnswer: 1, 0.2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -657 - -657. Let c = 1.95 - -0.05. Let h = -2 - c. What is the second smallest value in h, q, 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 5*u - 21. Let r = u - 6. Let n(v) = -v**2 + 6*v + 5. Is 5 a factor of n(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 704785 to the power of 1\/2, to the nearest integer?\nAnswer: 840","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1037820 and 195.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 489\/(-6)*4\/(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of -s**4\/4 - 2*s**3 - s**2\/2 - 6*s - 6. Let o be r(-6). Which is smaller: 1\/21 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-30)\/(-4)*28\/35. Let h(j) = j**2 - 27*j + 109. Let b be h(5). Sort b, o, -3 in ascending order.\nAnswer: -3, b, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1044 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4688231279 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of h**5\/60 - 2*h**2 + 143*h. Let s(g) = -g + 30. Give s(j(x)).\nAnswer: -x**2 + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 111\/20 and 43\/1240.\nAnswer: 1240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**9)**(3\/7) assuming c is positive.\nAnswer: c**(27\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -1 + 20 + (2376\/12)\/(-33)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3128 less than or equal to 2786?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 - 2*k - 9. Let b be x(5). Suppose -3*o = -3 - b. Suppose 10*h - o*h - 385 = 0. Is 11 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vffvvfwfffvvw. Give prob of picking 2 f.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -89 (base 13) in base 2?\nAnswer: -1110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.034 + -10.77.\nAnswer: -10.736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 times -1360957?\nAnswer: -342961164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -44 - -46. Suppose 0 = -4*j - 5*i + 20888, 1759 = y*j + 2*i - 8687. Is j 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 251960 to the nearest integer?\nAnswer: 502","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 12, -0.5, 0.1 in decreasing order.\nAnswer: 12, 0.1, -0.2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, 3787, -650 in descending order.\nAnswer: 3787, 5, 1, -650","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjsssjrrjrrr. Give prob of picking 1 r, 1 j, and 2 s.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -609, -4817, -16233, -38457, -75089, -129729?\nAnswer: -205977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (4*(-11)\/(-660))\/(3\/(-27))\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -4, -1\/9, -3 in descending order.\nAnswer: -1\/9, -3, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 161588.1 years in centuries?\nAnswer: 1615.881","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14552?\nAnswer: 2, 17, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 19025380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, l: 4, h: 3, n: 1, e: 3, g: 1}. Give prob of picking 1 e, 2 z, and 1 n.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - 1130233120?\nAnswer: -1130233122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 16 = -3*z + 10*c, 8*c = -8. Suppose -7*w + 3*w = 20. Sort z, 0, w, -4 in increasing order.\nAnswer: w, -4, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5004607 rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2.4 and -44.57.\nAnswer: -46.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-51)\/(1122\/(-8)))\/(1\/33)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.339616kg to tonnes.\nAnswer: 0.004339616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/2, 3, -0.07, 0.04, 0, 0.12?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + -5. Let h = -7 + 11. Suppose h = -6*b + 7*b. Sort p, b, 0 in descending order.\nAnswer: b, p, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t**3 - 30*t**2 + 2*t - 27. Let f be s(15). Let l be ((-4)\/(-5))\/(3\/15). Solve l*k = -f + 7 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2390*j**3*x - 413*j*x**2 - 5411407*x**2 wrt j?\nAnswer: -7170*j**2*x - 413*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 46, 2, -25, -283, 0.\nAnswer: -283, -25, 0, 2, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 102604 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-22)\/286)\/((-1)\/(-2))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 10) in base 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -32380 or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + 10*15\/(-75).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -65+6604\nAnswer: 6539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 - 16*h - 12. Let p be l(-15). Find the third derivative of 13*d**4 - p*d**2 - 25 + d**3 - d**4 - 6*d**4 + 2*d**3 wrt d.\nAnswer: 144*d + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rofb when four letters picked without replacement from zfzbborofffffozffzz.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-4*(-1 + sqrt(1331) + sqrt(1331)*-1 + (-3 + sqrt(44) + sqrt(11) - (sqrt(132)\/(1*sqrt(12)) - sqrt(11)))))**2.\nAnswer: -1536*sqrt(11) + 7360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 - 1029*z**2 + 18862*z - 1100395. What is h(-1048)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10632*p + 5290*p + 5049 = -5635 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 111.04 to zero decimal places.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25)\/20*10\/25.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-11) + (-432)\/(-198). Suppose -4*n + 7234 = a*m, -3*m - m + 9035 = 5*n. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 AM and 10:04 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-243)\/(-756))\/(121\/(7623\/(-108)))?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 - 9. Let z(f) = f - 5. Let m be z(a). Determine x so that 5*x - m - 2*x**2 - x + 0*x**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 + 11 = -3*m. Let j = -12 - m. Let y be 9 + ((-100)\/(-5))\/(-5). Solve -5*o + q - j*q = 19, y*q + 32 = -4*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30341 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, -3, -72, 3, -4726 in ascending order.\nAnswer: -4726, -72, -5, -3, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 424 - (-4)\/12*-15 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 372*((-100)\/(-6))\/5. Let q = -3005 + 745. Let j = q + w. What is j rounded to the nearest one hundred?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -27383 to the nearest 100.\nAnswer: -27400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -261*a**4 - 1821*a**3 + 176*a**2 + 3620*a**3 - 30*a - 32*a**2 + 27*a**5 - 1904*a**3 + 9*a**2 = 0 for a.\nAnswer: -1, 0, 1\/3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 132789 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -45 + -25 - (70 - 43).\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -0.3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 5*y + 64, -17 + 2 = 5*y. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 2*k + 4698, 12*k - 9*k - 3 = 0. What is the least common multiple of 940 and z?\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 427 times -7.3\nAnswer: -3117.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.77825695 rounded to 4 decimal places?\nAnswer: 0.7783","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12662*x - 12662*x - 40*x**2.\nAnswer: -40*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 53*k**2 - k + 8. Let j be p(2). Let z = j + 551. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 340*z**4 - 25148*z**3 - 78748*z**2 - 55108*z - 1848 = 0. Calculate z.\nAnswer: -2, -1, -3\/85, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/17*t**3 - 626\/17*t - 150\/17*t**2 - 474\/17 = 0. Calculate t.\nAnswer: -3, -1, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-50)*-3)\/((-12)\/(-10))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 + -4. Suppose 3*q = -0*k + 4*k - 31, 2*k - 17 = q. Let w be ((-3)\/f)\/((-12)\/k). What is the closest to 2 in -1, w, -5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-90)\/27)\/(32\/48).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 40*q + 1. Let v(x) = -x. Let z(f) = b(f) + 4*v(f). Is z(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30032111 (base 6) in base 3?\nAnswer: -1120212222121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3248 - -3247. Let k(s) = -s - 1. Let v(d) = -39*d - 26. What is j*v(q) + 26*k(q)?\nAnswer: 13*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1146469 is divided by 3860.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t**2 + 91*t + 232. What are the prime factors of m(-54)?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - (-3 + 2)*187. Let v be (1 - -3) + -3 + i. Let h = 265 - v. Calculate the remainder when h is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 + 2. Suppose -r - 19 = -4*y - 3, 0 = y - r - 1. Let i be (30\/27*-6)\/(y\/45). Let u be ((-12)\/i)\/(2\/30). Give j(u).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f + 17. Let l be n(0). Suppose -l = 3*t - 4*t. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(7) - (sqrt(343) + 1)**2) - 2*(-1*sqrt(21))\/sqrt(3).\nAnswer: 54*sqrt(7) + 1376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in six fifths of a meter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 374572.\nAnswer: 2, 11, 8513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = -3*n + 19 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of -367*w**5\/20 - 55*w**4\/2 + 925*w + 2. Find the third derivative of a(y) wrt y.\nAnswer: -2202","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 + 8*l**2 - 10. Is h(7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**2\/5 + 701*f\/5 + 1398\/5 = 0. Calculate f.\nAnswer: -699, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + (91 - (18 + -10)) + -7.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*j - 352 = -121*j. Let u be (4\/12)\/(95\/(-1398)). Let l = u + 24\/5. Sort l, j, -4 in decreasing order.\nAnswer: j, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 206*j = 208*j - 6. Which is the closest to 5? (a) -2 (b) 1\/6 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -6322*h - 398. What is f(0)?\nAnswer: -398","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 10:54 PM?\nAnswer: 6:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -331, -1317, -2961, -5269, -8247?\n\"Answer: -j**3 - 323*j**2 - 10*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 + 5*j**2 + j + 6. Suppose -17*b = -12*b + 15. Is x(b) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**15)\/g*g*g)**17)**(-5\/12) assuming g is positive.\nAnswer: g**(-1445\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - 9. Suppose 0 = -0*h - 4*h. Let w be (9\/6 - 1)*6. Solve -z*p - 3*r + h = 4, 5*p = w*r + 32 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 3502 = -2*w, 9*w + 3*u = 6*w + 5262. Suppose -11*j + w = -1412. Does 18 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 163050 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1461.1301 and -13?\nAnswer: 1474.1301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(528) + -3*sqrt(528)*-1)\/(1*-2*sqrt(275)) + -5)*2.\nAnswer: -10 - 16*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -156*t + 2344. Let l be c(15). Let s = -2.4 - -0.4. Let o = s - -1.8. What is the closest to 3 in l, o, -5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -88 + 93. Solve 4*z + 3*b - 19 = 0, 0 = -v*z + 3*b - 14 + 4 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1880?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 18\/60689 and -6\/11.\nAnswer: 667579","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2074*x**2 + 26966*x - 41. Give z(13).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 11 = 2*z, -4*l - 17 = z - l. Let w be (z - -1)\/((-3)\/6). Suppose a = -w*i - 2, 0*a - 7 = -3*i + a. Sort -1, 5, i in decreasing order.\nAnswer: 5, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2. Let l(y) = -y - 13. Let n(c) = 9*h(c) + l(c). Let k be (-2)\/((0 - 1)*(-2)\/6). Calculate n(k).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d**2 + 29*d - 29*d.\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -390, -392, -410, -456, -542, -680?\nAnswer: -882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 33.685 - 26.28. Let m = 0.81 - 0.805. Let l = g - m. What is l rounded to 0 dps?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from jigbbgbgbdqqb?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.55 - -0.52. What is the second smallest value in -5, t, 0.3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-324)\/40 - -8)*4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -7*b**2. Let y(z) be the second derivative of -z**3\/6 + 51*z + 1. Determine y(h(g)).\nAnswer: 7*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 120 - 113. What is the second derivative of q*g + g**4 + 0*g**4 - 8*g + 18*g wrt g?\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -68 + -0.063?\nAnswer: -68.063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of a**6\/120 - 9*a**5\/4 + 89*a**4\/8 - 133*a**3\/6 + 2661*a**2. Factor x(w).\nAnswer: (w - 133)*(w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k - 1. Let g be p(-2). Let x be 24\/16*(-8)\/g. Suppose -4*t + 19 + 133 = 5*b, -t = x*b - 49. Calculate the remainder when t is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and (-3)\/10*2 + (-112)\/(-20)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -130786 > 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bpgubbbsg. What is prob of picking 1 u and 2 b?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/((-15)\/(-8)))\/(82*1377\/31365)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/3, -2\/9, 25\/3, -8, -141?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c. Let s be h(0). Suppose s = -6*p - 18 + 72. Let b = 26 + 8. What is the remainder when b is divided by p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.6 times 104?\nAnswer: -374.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*n - 11. Let f(b) = -b**3 + 4*b**2 + 2*b - 4. What are the prime factors of f(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2*o + o**2 + 26*o**2 + 0*o - 4*o - 2. Is l(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -1. Let n(x) = -44*x**3 - 4*x**2 + 12. Determine n(w) + 12*q(w).\nAnswer: -44*w**3 - 4*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 26\/5 of a litre?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 149\/6 - 25. Let q be 5*(-17)\/(-2) + (-4)\/8. Let t be (0 - (-2)\/3) + (-40)\/q. What is the closest to -1\/3 in -0.1, s, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -200077 and 5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = 3*h - 5*d - 59, 0 = 5768*d - 5767*d - 5 for h.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 + 46*j**2 + 131*j + 83. Let b be k(-43). Is 22 >= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 - w. Let c(y) = -51*y**2 - 2*y + 2. Give -c(g) + 3*f(g).\nAnswer: 48*g**2 - g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-5*(5*(sqrt(684) + sqrt(684) + 1)**2 + sqrt(684) + sqrt(684) + (sqrt(684) - (-2*sqrt(684) + 2))**2).\nAnswer: -198450 - 600*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 2*x - 28, 0 = -i + 2*i - 4*x + 7. Let v = i + 24. Is 12 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/4 + 471163*j\/2 + 221994572569\/4.\nAnswer: (j + 471163)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/77, 295, 0.01, 1, 4, -5.\nAnswer: -5, 0.01, 4\/77, 1, 4, 295","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 189071.\nAnswer: 43, 4397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 190*d = 189*d - 5 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13418\/65 - 1032\/5. Let m = -90 - -92. Let f be (-132)\/(-168) - (9\/(-6) + m). Which is smaller: r or f?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 5:28 AM?\nAnswer: 4:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7940256 is divided by 1073.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 35721 >= 15.19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2745?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - -9 - (7 - 4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6002243.\nAnswer: 13, 397, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -22*b**2 + 2091*b - 7. Let d(i) = -18*i**2 + 2092*i - 6. Calculate -6*d(k) + 5*m(k).\nAnswer: -2*k**2 - 2097*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.7 - -4.681. Let o = -0.019 - n. Is o < -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 17\/141? (a) 3 (b) 22 (c) 0.4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -27505*y**2 - 44138 wrt y?\nAnswer: -55010*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/69040 and -107\/46532960?\nAnswer: 46532960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -3*c + 31. Suppose c*r + 13 = 17. Solve w + r = h - 0*w, -2*w + 12 = 5*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**3 + 390*d**2 - 5301*d - 19494.\nAnswer: -3*(d - 114)*(d - 19)*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*3.46.\nAnswer: 13.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -105, -4\/3.\nAnswer: -105, -4\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3612065 millimeters to centimeters.\nAnswer: 0.03612065","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (17 - -1) - (10 - (8 - 1))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(392)\/(sqrt(63)\/(sqrt(36)\/sqrt(4))))\/(sqrt(392)*2 + 6*sqrt(8)*-2))**2.\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-9)\/(-21) + 3294\/(-42). Let x = 54 + -132. Is d >= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25010 times 0.13\nAnswer: 3251.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 13, u: 4, n: 3}. Give prob of sequence jj.\nAnswer: 39\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 5, r: 2, g: 4}. What is prob of picking 2 g and 1 r?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -8184874.8 rounded to the nearest ten thousand?\nAnswer: -8180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 i when three letters picked without replacement from {n: 2, q: 2, i: 1, e: 2, h: 1, y: 1}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000008994113647 rounded to 7 dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(104)\/(sqrt(80)\/sqrt(250)))**2.\nAnswer: -1950","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, -23 in ascending order.\nAnswer: -23, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 695 + -655. Calculate the least common multiple of 448 and o.\nAnswer: 2240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13774268 + -13774239.999914. Let q = d - 28. What is q rounded to five dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 178455351?\nAnswer: 3, 59485117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 205 and 7714601.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 136 and 16898.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -184 - 74. Let r be 1 - w - (-8 - -6). Suppose -3*q + 6*q - r = 0. Does 27 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 8*a**2. Let q(y) = -3*y - 5. What is q(z(m))?\nAnswer: -24*m**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + -2. Let v(n) = d*n + n + 3*n - 7*n. Let s(m) = 0*m + m - 3*m. Determine v(s(i)).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3271, 13125, 29559, 52573, 82167, 118341, 161095?\n\"Answer: 3290*f**2 - 16*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 divided by 6?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 50125\/18 - 2783. What is the common denominator of -31\/22 and l?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y*y**(-24)*y)*y*y)\/y**(-12) assuming y is positive.\nAnswer: y**36","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/3852 and -87\/9416.\nAnswer: 84744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 5*m = 2 - 8, z - 16 = 3*m. Suppose j - 2*j + 5*n + z = 0, -2*n = -2*j + 30. Let v = j - 249. What is v rounded to the nearest ten?\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 715*w**2 - 5*w - 4. Let r(v) = 714*v**2 - 6*v - 5. Calculate -12*r(j) + 15*x(j).\nAnswer: 2157*j**2 - 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -950?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*s + 3*s + 4*s - 11*s.\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*s + 0*s - s)*(-2*s + 2*s - 2*s) - 2*s + 2*s + s**2 + (-s - 2*s + 5*s)*(2 - 2 - 2*s))*(-s + s + s).\nAnswer: -5*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - -10. Let v be -6*3\/(-6)*47. Suppose 2*h + v = 5*h. What is the remainder when h is divided by l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -24432 - 3?\nAnswer: -24435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 3)*(1 - 1 + q**2) + q**2 - 5*q**2 - 3*q**2 - 6*q**2 + 5*q - 5*q**2 + q - 2*q**2.\nAnswer: -19*q**2 + 6*q","meta":{"dup_signals":{},"source":"polynomials__expand_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: How many millilitres are there in fourty-nine quarters of a litre?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -596 - -594. Let l = 23\/28 + -4\/7. Which is the third smallest value? (a) l (b) j (c) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 20 (c) -0.3 (d) 1.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + -261?\nAnswer: -260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 + 2*s**2 + 9*s + 1. Let w be p(4). Suppose -n = 1, -2*n = -w*a - 6*n + 126. Let k = 12 + -6. What is the least common multiple of a and k?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -33 (b) 417007 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 21*l - 359. Determine x(17).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 18*i**3 - 4*i**2 + 6*i - 3. Let w be u(3). Let s = w + 44. Suppose 0 = -4*z + 4*h + 500, z + 3*z + 5*h - s = 0. List the prime factors of z.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -5*z + 1, -2 = -z + w + w. Suppose z = p - 106 + 31. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 316917509 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: Factor -q**3\/2 + 57*q**2\/2 + 30*q - 58.\nAnswer: -(q - 58)*(q - 1)*(q + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 + 8. Let g = 284 - u. Suppose -5*x + 1255 = 5*p, 487 = 3*x - 5*p - g. List the prime factors of x.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-14) - (1 + 14)\/105\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1311208?\nAnswer: 2, 163901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 118\/(-30) + 48\/12 - (-302)\/(-30).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -2*y + 1. Determine v(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of -11*k**3\/6 + 5*k**2 + k. Let c(o) = -5*o + 5. Let n(g) = 13*c(g) - 6*v(g). What are the prime factors of n(7)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/15*-3 + (-18 - (-1727)\/165).\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 1 = k, 32*k + 10 = 30*k for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35)\/385 + 1470\/(-165).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 167\/424 + -1\/53. Sort 1\/9, -2, q in decreasing order.\nAnswer: q, 1\/9, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, 13, 4 in decreasing order.\nAnswer: 13, 4, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(7)*-1)**2 + 3*sqrt(28)\/sqrt(4).\nAnswer: 3*sqrt(7) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-4))\/(-5)*10\/(-4).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*y + 4*a, -4*a = 3*y - 1 - 27. Suppose 5*s - 4*i = 52, y*s - 9*s - 21 = -i. Suppose -3*l + 16 = l. What is the highest common factor of s and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/5, -2, -5, 3, -5\/6, 432?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -2*n**2 + 12. Let r(l) = 4*l. Give r(y(u)).\nAnswer: -8*u**2 + 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 240 and 144?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -623 != -623?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.01 and 36.\nAnswer: 0.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14818399?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llb when three letters picked without replacement from {e: 1, z: 2, b: 4, l: 8}.\nAnswer: 16\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - 3*q + 4*q)*(2*q**4 + 2*q**3 - 2*q**3) - q**5 + q**5 - 2*q**5.\nAnswer: 4*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/40 and -59\/4360.\nAnswer: 4360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 - 1. Let o(x) = 4*x**3 + 6. Suppose 45 = 5*t - 5*q, 3*q + 3 = t + 4*q. Let g(h) = h**2. Let l be g(1). What is l*o(d) + t*y(d)?\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of 3*b**2 - 1\/30*b**6 + 0 + 1\/90*b**5 - 1\/18*b**3 + 1\/18*b**4 - 1\/70*b**7 + 0*b. Factor m(d).\nAnswer: -(d + 1)**2*(3*d - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of m**7\/840 + m**6\/120 - m**5\/40 - m**4\/8 + m**3\/2 + 2*m**2. Let a(k) be the first derivative of w(k). Calculate a(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-4)*z*z*z**4*z**(-3)*z*z*z**2 assuming z is positive.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -3\/31, -1.96 in decreasing order.\nAnswer: 9, -3\/31, -1.96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111002 + -2022000?\nAnswer: -2210002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22800 = -42*g - 38*g. Does 5 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35200 (base 6) to base 14\nAnswer: -1ba0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -4*x + 5*x - 2 + 0. Let k be i(4). Solve 3*g - 1 = -2*o - k, -2*g = -5*o - 31 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*g**2*h**2*i**2 + 6*g**2*h**2 + g*h**2 - 1889*h**2*i**2 + 56*h**2 with respect to i.\nAnswer: 4*g**2*h**2*i - 3778*h**2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7098 is divided by 247.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21.4 - -14.4. Suppose -4*s + 6*d - d = 8, -4*s - 8 = 4*d. Which is the nearest to 0? (a) s (b) y (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 33*g + 41*g - 666. What is the greatest common divisor of 117 and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 - 3*b + 1. Let y(u) = u**2 + 15*u - 8. Give -6*t(z) - y(z).\nAnswer: 5*z**2 + 3*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from uustsuuuss?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 75 - 66. Sort 4, c, 1\/5 in increasing order.\nAnswer: 1\/5, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (155\/25)\/((7\/(-30))\/((-28)\/(-12)))\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 6*k + 56 = 0. Let t be ((-8)\/10)\/(k\/(-35)). Round t to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l + 0*l - l)*(2*l + 2 - 2) + (-2*l + 1 - 1)*(-6*l + 3*l + 0*l).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a millennium in decades?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 + 15*q**2 + 29*q + 42. Let b be n(-13). Suppose -j - 1 = 5*a, -2*a = -4*a + b*j + 3. Solve 0 = -k - 2 - a for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6c0 (base 13) to base 9.\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.2241 + -0.0081. Let r = k - 0.216. Let y = 2 - 3. Which is the closest to y? (a) -0.2 (b) r (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 - 4*r**2 + 5*r - 5. Calculate v(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + 112012?\nAnswer: 112021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000021581056 rounded to 7 decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 39 = 2*g - 4*r, 2*g - 57 = -3*r. Let h = g - 16. What is the remainder when 14 is divided by h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1345 - 6178 - 12303 = 431*y for y.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-26)\/65 + 23\/(-5) - 0\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 - (0 + -1)*1. Suppose -5*s + 8*s - 183 = k. Let y = -792\/13 + s. Sort 4, -3, y.\nAnswer: -3, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) -10 (c) 2\/15 (d) 4\/5 (e) -13 (f) 0.2 (g) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 0.3, 1\/2, 777?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 + 8*k + 45. Calculate l(12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a millennium in years?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 c when two letters picked without replacement from {q: 2, i: 1, l: 1, c: 1, x: 1, v: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.03577 + -2.03577. Let s = 0.024 - -3.876. Let g = -1.1 - s. Which is the closest to 3? (a) g (b) 0 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*s**2*u**2 - 3*s**2 + 4*s*u - 2*s - 7*u**5 wrt u.\nAnswer: -12*s**2 - 140*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(1 + sqrt(2) + -3 - sqrt(2)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u - 5*u + 3*u - 4*u + 4*u.\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of -6*z**2 + 0*z**3 + 0*z + 0 - 1\/4*z**4. Is 8 a factor of f(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g + 2. Suppose -12*t + 8 = -4*t. Let v(f) be the second derivative of f**5\/20 - f**4\/12 + f**3\/6 + f**2\/2 + 4*f. Calculate t*i(s) - 2*v(s).\nAnswer: -2*s**3 + 2*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of -y**6\/180 + 2*y**3\/3 - 30. Let v(t) be the third derivative of k(t). Let x(l) = -4*l**2. Give v(x(z)).\nAnswer: -32*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(63))\/sqrt(9) + sqrt(63)\/(-2*sqrt(9)) + -5*(sqrt(252) + -1)**2.\nAnswer: -1265 + 115*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-27)\/3 - -2 - 0. Let q = 10 + u. Let o = 54 + -34. Solve -q*f = -7*f + o for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4848?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7201 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 1348 - 1348 - 4*f. Let d(p) = 36*p + 15. Let c(l) = -5*l - 2. Let k(q) = -15*c(q) - 2*d(q). Let i(n) = 4*b(n) + 5*k(n). Let g(u) = 3*u. Give g(i(y)).\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 83 - 77. Let h(m) = m**3 - 6*m**2 + m + 13. Let o be h(b). Suppose 4*f - o = 3*k - 7, 9 = -4*k + 3*f. Solve 3 = -k*x + x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.04 + 0.09. Let y = -3.0272 - -0.0272. Which is the second biggest value? (a) 3 (b) i (c) -0.1 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 2*t**4\/15 - 7876*t**3\/15 + 2552832*t**2\/5 + 188567428*t\/15 - 39243610\/3 = 0?\nAnswer: -25, 1, 1981","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-15 + 11 + -13)\/(2\/(-3358))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -17, 312717 in descending order.\nAnswer: 312717, 5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 5. Let r be 6\/8*4*z. Suppose -c = -2*c + r, -3*j - 3*c = -21. Solve 4*g = 2*m + 8, -4*m + 4 = -5*m + j*g for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 + -16. Sort -104, n, -1 in descending order.\nAnswer: -1, n, -104","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 104 - 102. Let t be (10\/(-8))\/((-2)\/8). Suppose 0*i + t*g - 3 = -3*i, -4*i - g = -4. What is the least common multiple of i and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 - -18. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -1670 + 3333 + f**2 - 1676 - 15*f. Give h(12).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 - -35. Suppose 10*p = v*p - 169. Let m be 10\/3*(6 - 3). Solve -m*y - 6 = -p*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 bigger than -185?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16396)\/(-159861)*6\/(-32).\nAnswer: -1\/52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 3501?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10575 and 1575?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -50\/3 and -58\/51.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 660 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1690 + 1687.2. What is the closest to w in -1\/3, 5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3399 divided by 237.\nAnswer: -1133\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1*(-5)\/(-60) - (42812110\/(-24))\/11 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12216 minus 96.101?\nAnswer: 12119.899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n + 9 - 3 - 7*n.\nAnswer: -10*n + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of n**4\/4 - 17*n**3\/3 - 9*n**2 + 132. Give i(18).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/1136 and 81\/20.\nAnswer: 5680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 AM and 1:55 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -676, -667, -670, -691, -736, -811, -922?\n\"Answer: -p**3 + 16*p - 691","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28819536.\nAnswer: 2, 3, 600407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2\/9 (b) 1\/368 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -10152.5 to the nearest ten.\nAnswer: -10150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1005 + 1853. Suppose 0 = 3*g - 256 - d. Let i = -2197\/6 + g. Do i and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.010144383923 to 7 decimal places.\nAnswer: -0.0101444","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26 + 25. Let q be 3 + 1*(0 - -2). What is the second biggest value in 3, n, q?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwamwmwwwlmmwswwasw. What is prob of sequence wwam?\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 3*u - 5*c, -c = -5*u + 4*c + 20. Let f be (u + 0 - 2)\/1. Let k(h) = 2*h**2 + 7. Give k(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2*z + 3)*(-1 + 2 + 1) + 2*z - 1 + 1 + 10 - 4*z + 6*z - 3.\nAnswer: 8*z + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3045)\/(-462840)*4\/(-2).\nAnswer: -1\/76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 33.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1675 + 802 = 189*k - 3004 for k.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 167808.\nAnswer: 2, 3, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -175470*s**3 - s**2 - 3*s**2 + 175469*s**3.\nAnswer: -s**3 - 4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -4*r + 20, -7*r - 4 = -10*r - 2*m. Suppose 4*l + 3*i - 777 = 0, -5*i + 28 + 755 = 4*l. What is the smallest common multiple of r and l?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a**2 - 192*a - 195 = 0 for a.\nAnswer: -1, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*s + 166 = 220*s. Put 1\/2, -2\/237, s, 3 in increasing order.\nAnswer: -2\/237, 1\/2, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 5:28 PM?\nAnswer: 12:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (3 + 0)\/(-1)*-17?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2249 + 2249.1. Which is the third biggest value? (a) z (b) 269 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 63\/76156 and -7\/105558.\nAnswer: 16678164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3034142 (base 5) to base 9\nAnswer: 74554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1613377 and 21583.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(21) + 1*sqrt(21))\/sqrt(7) + sqrt(24)\/(sqrt(8)*4 + sqrt(8))) + 2 + -4.\nAnswer: -2 + 66*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12427 - -12434. Calculate the smallest common multiple of m and 311.\nAnswer: 2177","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1961329385.\nAnswer: 5, 392265877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(576) + 4*sqrt(576))*-3*5)\/(sqrt(108)*-4*5*6).\nAnswer: 5*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -58.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -54 (base 11) to base 4.\nAnswer: -323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 25*w**3 - 2*w**2 + w. Let x be n(1). Let z(d) = -d**3 - 19*d**2 - d - 3. Let l be z(-19). Calculate the highest common divisor of l and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 120\/375*(-40)\/(-32).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1239960871?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -238*n**2 + 253*n - 1 wrt n?\nAnswer: -476","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of v**4\/4 + 2*v**3\/3 - 462*v. Let w(g) = 2*g**2 + 3*g. Suppose 2 = 4*b - 10. Calculate b*n(z) - 4*w(z).\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/12 and 2 - 1 - (10 - 6083\/756).\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73700 is divided by 90?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -419357 + 874170. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 839744259?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -230? (a) -0.1156 (b) -2 (c) 1 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 - 9*n**2 + 2*n - 4. What is d(9)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2703 * -5.8.\nAnswer: 15677.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (8 - 0) + (35 - 37)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.0954 (b) 3 (c) -4 (d) 2.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2 + 8520*a - 34048.\nAnswer: -2*(a - 4256)*(a - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.05438958 to five decimal places.\nAnswer: -0.05439","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2879600?\nAnswer: 2, 5, 23, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**4 + 56*g**2 + 96*g.\nAnswer: -2*g*(g - 6)*(g + 2)*(g + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 9*d. Let b be c(0). Solve -y = -b*y - g, y + g + 2 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -556\/3783 - 2\/291. Let i be (-147)\/105*12\/21. What is the closest to 1\/5 in -0.4, 1, r, i?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ivivvvtivivtt. Give prob of picking 2 v and 2 t.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35513 is divided by 53?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 170*g - 179*g = -487*g + 32860588. What are the prime factors of g?\nAnswer: 2, 37, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100 is divided by 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 5*l**2 - 4*l**2 + 0*l**2 + 3. Let q be h(0). What is the third derivative of 0*c**6 + 2*c**6 + 3*c**2 - 5*c**2 + q*c**2 wrt c?\nAnswer: 240*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -7, 1453 in increasing order.\nAnswer: -7, 4, 1453","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j + 2. Let l(t) = -t + 1. Let d be l(5). Let i(k) = -5*k + 6*k - 48 + 52. Let w(o) = -o - 3. Let m(r) = 4*i(r) + 5*w(r). Give d*m(z) + 3*n(z).\nAnswer: z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -4.1 (b) 4\/3 (c) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30107533 + i**2 + 30107533.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 5*l - 11, -h + l = 4*l - 6. What is the lowest common multiple of (-3)\/h + (6 - -6) and 6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 84 and 9222?\nAnswer: 129108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 272*q - 56812. Give d(208).\nAnswer: -236","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -10*m + 4. Suppose 0*j - x = -5*j - 9, 3*j + 10 = -4*x. What is the units digit of i(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/9 (b) 0.078 (c) -0.5 (d) 0.046\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjj. Give prob of sequence jj.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4220 in -2\/333, 1\/7, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (8\/16)\/((-2)\/(-364)). Let g = 2269\/42 - 468\/7. Calculate the common denominator of 14\/i - (-1190)\/(-468) and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 159753 a multiple of 103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 26120 and 80.\nAnswer: 52240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1\/4))**(1\/3)*(x\/x**2)\/(x**2*x))**(-29) assuming x is positive.\nAnswer: x**(1421\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(414\/24 - (-2)\/(-8))*1?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -r**5 + 460524*r**4 + 9210748*r**3 + 60791488*r**2 + 147373824*r + 117899264 = 0.\nAnswer: -8, -2, 460544","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1736348.59 rounded to the nearest 10000?\nAnswer: -1740000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-20)\/(-40) - (22122\/4)\/(-3)?\nAnswer: 2, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27638.\nAnswer: 2, 13, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 495 = -2855*i + 2360*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12313907 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -60\/1313 - 58665\/9191. Is -7 at least as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 - 82. Give l(-21).\nAnswer: 359","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -2\/14647065?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(96)\/sqrt(3) + sqrt(2)) - (-3*sqrt(22)\/(sqrt(176) - sqrt(11) - sqrt(11)))**2 - (sqrt(242)*-3*1 + -4 + sqrt(242)*-3)**2.\nAnswer: -17465\/2 - 538*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 3*x + 264 = 0. What is the lowest common multiple of x and 21?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 206259 to the power of 1\/2, to the nearest integer?\nAnswer: 454","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 305*b**2 + 8*b - 4. Let z(d) = d**2 + 2*d - 1. What is -o(v) + 4*z(v)?\nAnswer: -301*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 92\/83, -7\/15, 0.35, 4?\nAnswer: 0.35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = 9, 36140*k + 11*d = 36142*k - 97 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9448413 to the power of 1\/2, to the nearest integer?\nAnswer: 3074","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23281698 by -7760566.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3094, -3, 1, 4, 0.05, 3 in descending order.\nAnswer: 3094, 4, 3, 1, 0.05, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 0, 5*c - 408 = -3*y + 399. What is the remainder when y is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 33660 and 1056.\nAnswer: 269280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -7*r**3 + 4*r**2 + 498*r + 18. Let w(q) = -33*q**3 + 19*q**2 + 2491*q + 87. What is 29*p(s) - 6*w(s)?\nAnswer: -5*s**3 + 2*s**2 - 504*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3246*k - 8 - 3242*k + 0 - 44 + 6486*k + 3*k**2 + 52.\nAnswer: 3*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 - y - 1. Let s be 325\/(-55) + (6 - (-469)\/(-77)). Let f(z) = 8*z**2 + 5*z + 15. Give s*u(d) - f(d).\nAnswer: -2*d**2 + d - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1866637 is divided by 266619?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 PM and 10:20 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1801479?\nAnswer: 3, 491, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*k - 507482 + 507502. Determine d, given that k*d - 5\/4*d**2 + 1 = 0.\nAnswer: -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 69352 and 8669?\nAnswer: 69352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q - 1. Let c be m(-1). Let x = c + 13. List the prime factors of x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}