diff --git "a/data/dm_maths/full_data/10108_11255.jsonl" "b/data/dm_maths/full_data/10108_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/10108_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let a = -136 - -139. Put a, -1\/4, 5 in increasing order.\nAnswer: -1\/4, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1413626 (base 8) in base 4?\nAnswer: -1201132112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -5102520.46 to the nearest one hundred thousand.\nAnswer: -5100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1283729 a multiple of 167?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 26*j + 5. Give y(-4).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -35 - 624a?\nAnswer: -627f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -5*g - 1740, 3*g - 5*m + 726 + 290 = 0. Let d = g + 504. What are the prime factors of d?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81227629 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1832321, 1832315, 1832309, 1832303?\nAnswer: 1832297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 15*u + 262. Let h be x(-17). Solve h = 2*c + 17 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17401.7526 rounded to the nearest 10?\nAnswer: -17400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 8. Let b = 15 + o. Suppose -44*u + 704 = -12*u. Calculate the lowest common multiple of b and u.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -9*r**2 - 97*r + 1. Let k(x) = -5*x**2. Calculate v(k(j)).\nAnswer: -225*j**4 + 485*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -84 divided by -3?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/23 and 75\/1736.\nAnswer: 39928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1779158, -1779165, -1779172, -1779179, -1779186?\nAnswer: -1779193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 62810973 and 6294?\nAnswer: 3147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -20739618.1 and 0.7?\nAnswer: 20739618.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.0603 - -0.06038. Round o to three decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2*p**3 - 3*p**2 - 7*p - 2. Let l(x) = x**2 + 6*x + 1. Let y(k) = -k**3 + k**2 + 1. Let a(f) = l(f) + y(f). Determine 3*a(z) + 2*j(z).\nAnswer: z**3 + 4*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 - h. Let v(d) = 31*d**3 - 31*d. Calculate -v(f) + 31*w(f).\nAnswer: -62*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 4\/9*m**2 + 4\/9*m**3 - 2\/9*m**5 - 2\/9*m**4 - 2\/9 - 2\/9*m = 0. Calculate m.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1144\/65)\/11)\/(3\/((-135)\/(-153))*2)?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2151 + 2151.56. What is the closest to 1 in 1\/9, m, 3, 0.3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2134*u**2 - 4*u - 33778?\nAnswer: -4268*u - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30424042, 60848081, 91272120, 121696159, 152120198, 182544237?\nAnswer: 212968276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 + 50*x**2 - 44*x + 67. Let z be i(48). Let b = z - 1825. What are the prime factors of b?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of -r**7\/30 - r**5\/30 + 4*r**2 - 6*r. Let x(z) be the first derivative of h(z). What is the third derivative of x(m) wrt m?\nAnswer: -168*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -104*d + 102*d. Let s(n) = -n**2 - n - 3. Determine s(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n - 2*n + 3*n + (2 - 3 + 0)*(n + 2*n - 5*n) + 1 + 13*n + 7*n - 3*n to the form m*n + f and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 949139044 to the power of 1\/4, to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-10))\/i**(-5)*(i\/(i*i\/((i*i\/i**(-1))\/i)))\/i*i*i*i\/i**(-1\/8) assuming i is positive.\nAnswer: i**(-7\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -12*x + 2. Let z(d) = 12*d - 1. Let r(f) = 2*w(f) + 3*z(f). Let u = -2 + 4. What are the prime factors of r(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/1106 and -83\/22910?\nAnswer: 160370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3780\/(-1701)*3\/(-25).\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93*o + 81*o - 297*o - 5 + 89*o + 8.\nAnswer: -34*o + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-26) - 333\/(-117). Suppose 0 = 3*v - c*u, 2*v + 4 - 1 = 3*u. Solve 0*f + f = v for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1515 and 0.1.\nAnswer: 151.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 3\/5, 3, -0.2, 1940, 0.5 in descending order.\nAnswer: 1940, 7, 3, 3\/5, 0.5, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 v when two letters picked without replacement from ywwyyjvivyjjyyjvjy.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 5, t: 8, k: 5}. Give prob of picking 1 w and 1 t.\nAnswer: 40\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1462 - -1466. Let m(q) be the second derivative of -13*q + 0 + 4*q**2 + 0*q**p + 0*q**3 - 17\/20*q**5. Differentiate m(j) with respect to j.\nAnswer: -51*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*o**2 - 25*o**2 - 3 + 37*o**2 as p*o**2 + k + i*o and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 2 = 5*m, -4*m - 3*a + 322 - 323 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -141745401*c**2*y - 2*c**2 + 35*c + 1023457 with respect to y.\nAnswer: -141745401*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 330 + -268. Suppose 0 = 53*o - t*o. Let f(h) = 5*h**2 + h. Let m be f(-2). Which is bigger: o or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 118 minutes before 10:04 PM?\nAnswer: 8:06 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Put -55, -42743, 4 in descending order.\nAnswer: 4, -55, -42743","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -22*b*d*r - 71*b*d - 2*b*r - 3*b - 2*d*r + 3*r - 81 with respect to d.\nAnswer: -22*b*r - 71*b - 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 - -33. Let r = -19.04 + m. Let v = 2532 + -2531.7. Sort -0.1, r, v in decreasing order.\nAnswer: v, r, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1663525078.\nAnswer: 2, 831762539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -687 + 690. Let n(y) = 59*y - 15. Let k(j) = 38*j - 10. Let v(x) = 8*k(x) - 5*n(x). Let d(w) = -4*w + 2. What is f*v(p) + 7*d(p)?\nAnswer: -p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 80.85808 grams to kilograms.\nAnswer: 0.08085808","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 10:58 PM?\nAnswer: 2:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - -1a44?\nAnswer: 1a47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*(g**(2\/15)*g)\/g)\/g**(-6\/5))\/(g**(-2\/7)\/(g*((g*g\/g**(-1\/21))\/g)\/g*g)) assuming g is positive.\nAnswer: g**(14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(156) + -1*((2*sqrt(156) - sqrt(156)) + sqrt(156) + sqrt(156)) + sqrt(156))\/((sqrt(12) - (sqrt(48)\/sqrt(36) + sqrt(12))) + sqrt(12)).\nAnswer: -3*sqrt(13)\/2 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -b - 4*b, -4*b - 4 = 0. Put u, 6, -5 in descending order.\nAnswer: 6, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.79 + 0.39. Let w(n) = n + 1. Let p be w(-5). Let m be (-2)\/p - 1\/3. Put -0.5, m, q in ascending order.\nAnswer: -0.5, q, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*y + 2*x, -4*x - 2 = -3*y + 4*y. Suppose -2*h = 2*h. Suppose h = 2*r - 6, 0 = i - 5*i + y*r + 54. Solve 0*j = -3*j + i for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 1.1, -172?\nAnswer: -172","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7274019*q**3 + 9965*q - 9?\nAnswer: 43644114*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 3546 - 1765 + s - 1811 - 2*s**2 + 0*s**2. Determine c(0).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -1 + 0 - 14*t + 3. Let f(l) = l. Calculate 12*f(r) + h(r).\nAnswer: -2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -438127232.325379069 + 438127232. Let r = x + 26.325378939. Let v = r - 26. Round v to seven dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rd when two letters picked without replacement from {f: 3, t: 1, d: 1, i: 1, r: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-2)*-2 - -3. Suppose -4*m - x = -10, -m + 3*x + n = -7. Let l be 2\/m*2\/(-4). What is the closest to l in 0, -5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 232860 (c) -44 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 198754, 795004, 1788754, 3180004, 4968754, 7155004?\n\"Answer: 198750*n**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-29038)\/(-1)*(53 + 1092\/(-21)).\nAnswer: 2, 14519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*18\/(-4)*(-4234 + 4235).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15? (a) -4\/9 (b) -0.4 (c) -1 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1306\/14 - 4\/14. Suppose -2*a - 3*i + 15 = -k, 4*i - 110 = -2*a. Is a a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 0 - 6*w + 0 + 0*w - 2. Let b(l) = -l**2 - 7*l - 3. Let v be (-1 + 5)*(513\/38 - 14). Calculate v*b(c) + 3*u(c).\nAnswer: 2*c**2 - 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12)\/(-5)*(-200)\/(-16). What is the highest common factor of j and 405?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*a - 270 = 107*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*k + 7*k + 8. Suppose -10 = -5*z, -5*z = -o - k*o - 180010. What is o rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v + 1. Let c(y) = -2*y + 6. Let d(p) = c(p) - r(p). Let j(s) = -s**3 - 2*s**2 + s + 2. Let z = -27 + 25. Let l be j(z). What is d(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m - 19 = 5 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 71625 and 366750?\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 PM and 9:27 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7 - -76686238?\nAnswer: 76686245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 5*d - 5. Let n(r) = -6*r + 4. Let f(y) = -5*i(y) - 4*n(y). Let w be f(6). Suppose 5*c = w*u - 1, -2*c - 10 = 3*c. Put 1, u, 0 in increasing order.\nAnswer: u, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 3*b - 2 = 0, 0 = -5*y + 5*b + 42 - 12. Let d be (-188)\/(-6) + 3 + (-65)\/(-13). Let u = 523\/12 - d. Is y at most u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 5*w - 0*w - 2510, -2*w + 2 = 0. List the prime factors of m.\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -t**5\/4 + 98*t**4 - 24129*t**3\/4 + 56249*t**2\/2 - 22190*t = 0.\nAnswer: 0, 1, 4, 70, 317","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11022840 = 54*k + 358*k - 52*k. Does 16 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 AM and 7:57 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 53, 182, 445, 878, 1517?\nAnswer: 2398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50822.091ns to hours.\nAnswer: 0.0000000141172475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 AM and 8:47 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 100021002210022 (base 3) to base 9\nAnswer: 10232708","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -131*y + 12952. Calculate the lowest common multiple of x(98) and 76.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1056251240.\nAnswer: 2, 5, 11, 2400571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nii when three letters picked without replacement from anauunuinuuuunui.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 96*r**4 + 7197*r**3 + 3384928 wrt r.\nAnswer: 384*r**3 + 21591*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20640468 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/(20\/8) + 2. Let b(z) = 10 - 2 - 5 - 4 + s*z. Determine b(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = -3*f - 351 + 404, -212*b - 3*f - 8041 = 0 for b.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + -2. Let p = 1.8 - t. Let h = p - -0.4. What is the nearest to 0 in 5, h, 5\/4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29 + -15 - -2 - 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of -2 - 1\/2*d**2 - 3*d. What is n(6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 163 - 1137\/7. Let k be 0 + (-2)\/(-14)*-214. Let z = k - -30. Which is the closest to 1? (a) z (b) 0.3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 71894?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 - 6*o**2 - 6*o. Let h(v) be the third derivative of v**5\/60 + v**4\/24 + 124*v**2 - 2*v. Determine 6*h(t) + p(t).\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + -2. Let z(d) = 10*d. Let m(g) = -49*g. Let h(r) = 2*m(r) + 11*z(r). Let u(n) = n. Calculate a*h(l) + 22*u(l).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 34 - 37. Let t(z) = z**2 + 3*z + 2. Let n be t(-4). Let j = n + u. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*0\/(-3))\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/23 (b) -126 (c) -3 (d) -0.2 (e) -0.5 (f) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u**5 + u**5 + 0*u**5 + (1 + 2*u**4 - 1)*(-162*u - 587 + 587).\nAnswer: -323*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1115655 is divided by 3782.\nAnswer: 3747","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 16861 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**2 + 0*h**2 + 2*h**2)*(-2*h + h - h) - 4*h**3 + 2*h**3 + 0*h**3 + h + h - 3*h**3 + 0*h - 2*h**3 - 2*h + 2*h + 578*h**3 + 1869*h**3 - 136*h**3.\nAnswer: 2300*h**3 + 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -342*h*i**5 + 1752701*h*i**4 - 2*h*i**2 - 2*h*i - 1268*h + 7164 wrt i?\nAnswer: -20520*h*i**2 + 42064824*h*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/156085 and 107\/930?\nAnswer: 936510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*h = 219 - 359. Let t(j) = j**2 + 9*j + 4. Let r be t(-7). Do r and h have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, 15, -58 in decreasing order.\nAnswer: 15, 2, 1, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.1 (b) 0.3 (c) -8\/11 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v**2 - 152*v - 2097. Determine h(-12).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2\/3 + 4972*r.\nAnswer: 2*r*(r + 7458)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 21 = l. Let n = 27 - l. Solve 0 + n = -3*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 7*o**5 + 34*o**4 + 108*o**3 + 2*o**2. Let y(d) = 9*d**5 + 33*d**4 + 108*d**3 + 3*d**2. Let b(g) = -3*k(g) + 2*y(g). Find j such that b(j) = 0.\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 - 3*o - 22. What is the tens digit of w(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19266 = -12764*v + 12751*v. Does 114 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 758 + -258. Round y to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 8:41 AM?\nAnswer: 3:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -4100 rounded to the nearest 100?\nAnswer: -4100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of -v**4\/22 - 52*v**3\/33 - 192*v**2\/11 - 576*v\/11 - 72. Determine o so that y(o) = 0.\nAnswer: -12, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47020, 47560, 48460, 49720, 51340?\nAnswer: 53320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*v - 58 + 58)*(-2*v + 4*v - 4*v)*(-v + 2 - 2) as g*v**2 + p*v**3 + i*v + y and give p.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 63 - 4?\nAnswer: 5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 316 - 172. Suppose -w = -4*f - 0*f. Let o = -12 + f. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 861\/1148*1264\/12?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.019 + 4.019. Let p = -0.53 + 0.03. What is the second smallest value in 6, n, p?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/3)\/j**(-2\/29))**(2\/79) assuming j is positive.\nAnswer: j**(128\/6873)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + o + 2*o + 2*o - 2*o + (-1 + 2 + 1)*(-5 + 5 - 2*o))*(202*o**4 - 9*o**4 + 543*o**4 - 103*o**4).\nAnswer: -633*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2657*s**3*z**3 + 2*s**3*z**2 - 4*s**2*z + 167*s*z**2 wrt z.\nAnswer: 15942*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4729\/6 - -788. Let w = 0.16 - -1.84. What is the closest to w in 0.2, -4, a?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (4 - (7 + (3 - 6))) + 66?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooqoqqtqaooqtoqqooo. What is prob of picking 1 a and 1 t?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 44*s. Let t(h) = -6*h**2. Let x(n) = n**2. Let m(c) = -t(c) - 8*x(c). Determine m(z(v)).\nAnswer: -3872*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(7) + 1 - (5 + sqrt(7)*1)) + -4 + -1*sqrt(847).\nAnswer: -11*sqrt(7) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (-1 - (-2 + -3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -32 - -40. Let m = 0 - -4. Solve -y = m*p - 0*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -16 + 28 - (-9 - -42).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 191601233*d**3*z**4 + 37*d**3*z**2 + 376411*d**3*z + 2*d**2 wrt z.\nAnswer: 4598429592*d**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -5*k + 1. Let w be (0 - k)\/(3\/(-9)). Let y = 3 - 3. Is w less than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15445664*z**2 + 13164443*z wrt z.\nAnswer: -30891328","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -g**4 + 2937*g**3 + 17 + 2*g - 2937*g**3 - 6*g**2 to the form t*g**3 + p*g**2 + i*g**4 + l*g + x and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -3*s**2 + 311976*s + 7177035 = 0.\nAnswer: -23, 104015","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 PM and 1:49 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h = 7*h + 322. Let g be 2 + h\/7 + (-4)\/(-14). Let u be (-12)\/3 + 19 - (1 + g). Calculate the highest common divisor of 15 and u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 133\/5 + 2\/5. Suppose 6*q + 2828 = -4*v + 4*q, v + 725 = -5*q. Let z = v + 731. Is z at most j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 10*k**3 + k**2 - 3*k + 1. Let a be o(1). Let v = a + -6. Solve -v*n = n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 6379*k - 6269. What is v(1)?\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 141691676 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -84*s + 12281. Give x(144).\nAnswer: 185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 122 + 14040?\nAnswer: 14202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1790361?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 914180?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 11:21 AM?\nAnswer: 1:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that z**2\/3 + 4246*z\/3 + 5656 = 0.\nAnswer: -4242, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51523*t**2 + 1 + 51581*t**2 - 4 + 3.\nAnswer: 58*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3 and -0.0268.\nAnswer: -3.0268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.3 (b) 7.5 (c) 1877\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**2\/7 - 867\/7.\nAnswer: 3*(p - 17)*(p + 17)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 s when two letters picked without replacement from {a: 1, s: 2, t: 2}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/14)\/(3\/42). Suppose 2*k + 2*q = 38, -x*q - 35 + 6 = -k. Let r = k - 16. Let b(h) = 2*h - 3. Calculate b(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -39 + 61. Let n(o) = -o**3 + 23*o**2 - 66*o + 307. Let c be n(20). What is the highest common factor of c and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-1194)*1)\/(5517\/(-33102)).\nAnswer: 2\/199","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -190974 = -26*l + 40*l - 1206436. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 3 w when four letters picked without replacement from {n: 4, u: 3, w: 9}.\nAnswer: 12\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 - n. Let f(w) = -5*w**3 - w**2 - w. Let u = -2 - -3. Let b be (1 + (-8)\/10)\/(5*3\/(-75)). What is b*f(d) + u*i(d)?\nAnswer: 5*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one quarter of a decade?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*p**4 + 7*p**4 + 12*p**2 - p**2 - p**4 - 3*p - 1 - 17*p**2 to the form x*p**3 + b*p**2 + h*p + n + t*p**4 and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5951 - -12529. What is the hundreds digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -2*x + 4*z, 29*z - 16 = 4*x + 25*z for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jwww when four letters picked without replacement from {j: 3, w: 4}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.02 + 0.22. Which is greater: -0.7 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 92423280?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = 16*z + 9. Suppose -z*w = -12*w + 81. What is the remainder when 87 is divided by w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - 33\/21)\/(4\/(-28)). Suppose -2*q - i*d = -1918, 5*q - 4779 = -0*d - 2*d. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.09 - -4.09. Suppose -16 = -3*d - 4. Let p be (-30)\/d*(-2)\/12. Sort p, -2\/5, o in descending order.\nAnswer: o, p, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 + a + 1. Let d be (-9)\/54 - 43\/(-6). Suppose -1 = 6*x - d*x. Let t(c) = 4*c**2 - c - 1. Determine x*t(h) + b(h).\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2145566 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 322\/414*(-2)\/7?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -6, -19, -44, -87, -154, -251, -384?\n\"Answer: -z**3 - 6*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.49 + -3.49. Let g(h) = -21*h + 58. Let y be g(3). What is the closest to 3.2 in y, c, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of v**6\/24 - v**5\/60 - v**4\/24 + v**3\/2 - 4*v**2. Is q(3) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*42\/(-8)*(-296)\/74\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15) + sqrt(75)\/sqrt(45) + (sqrt(15) - sqrt(240))*5)\/(sqrt(363)*-2 - (sqrt(300)*1 - sqrt(300) - sqrt(300))).\nAnswer: 41*sqrt(5)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-four fifths of a milligram in micrograms?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 230.4? (a) -0.5 (b) 0.1 (c) 100\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-194)\/(-1067))\/(36\/11)*9\/4.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.441389 to two dps.\nAnswer: -1.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -572 + 12783 = -1271*l + 772 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32 and 47072?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1\/3, -0.0196 in increasing order.\nAnswer: -5, -0.0196, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 170 a factor of 14620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 156, -74, -456, -990, -1676, -2514, -3504?\n\"Answer: -76*m**2 - 2*m + 234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*g**3*r**3*y - 2*g**3 + 57*g**2*r**3 - 3*g*r**3*y - 2*g*y + 843*r**2 wrt r.\nAnswer: 12*g**3*y + 342*g**2 - 18*g*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 2 + 4)*(-p - p - 3*p + (8*p + 17 - 17)*(-5 - 15 - 9)) to the form o + d*p and give d.\nAnswer: 474","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 14345609 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (10 - 1) + (-10 + 18 - 9) + -2\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q - q - 2*q)*(-6*q + 6*q - 7*q**3).\nAnswer: 28*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 16*k**3 + 4*k**2 - 8*k + 3. Let a(m) = m**3 + 2*m**2 + m + 7. Let w be a(-2). Is c(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20007 is divided by 1332.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.062 + -0.0620044. Round h to six decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 + 5*u**2 - 11. Let g(v) = -v**3 + 3*v**2 - 6. What is -3*f(b) + 5*g(b)?\nAnswer: -2*b**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15eba5a (base 15) to base 4.\nAnswer: -330302203132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 77 or 81?\nAnswer: 81","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 - 1148*t + 920*t.\nAnswer: -228*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 4*n - 9. Let h be r(4). Find t, given that 2 - 14*t - 3*t**3 + 4 + 24*t**2 - h*t - 6*t**3 = 0.\nAnswer: 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2112) + sqrt(2112)*-1)\/sqrt(3))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 + b + 1. Suppose 195*p - 9 = 204*p. Let v(h) = 7*h**2 - 4*h - 4. What is p*v(o) - 4*a(o)?\nAnswer: -11*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*g + 142424 - 140578 = 0 for g.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 63028*j**2 + 102*j + 30130927.\nAnswer: 126056*j + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 12 = 6 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*k**2 - 7308*k**3 - 2*k**2 - 5*k**2.\nAnswer: -7308*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 950\/777 + 7\/111. Which is smaller: 1 or c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86498 is divided by 10794?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 251 - 251 + c**2. Let j(f) = 15*f**2. Calculate j(q(p)).\nAnswer: 15*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - 29\/((-319)\/(-88))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 2. Let p = 12 - 6. Let i be p\/(-3) + (3 - -3). Put i, -0.2, q in descending order.\nAnswer: i, -0.2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ro when two letters picked without replacement from {t: 4, q: 1, r: 2, o: 1, g: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -6075538.8 rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 286*k + 5 + 0 - 680*k - 826*k.\nAnswer: -1220*k + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*j + 2*j**2 - 4*j**2 + 2 - 5*j - 6*j**2 + 7*j**2 - 17*j**2 + (0*j + 0*j + 2*j)*(2*j - j + j).\nAnswer: -14*j**2 + 3*j + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 107.766258 + -108.28114361. Let q = 0.4068862 + z. Let l = -0.108 - q. Round l to seven decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4886 is divided by 223?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (120\/27)\/((-29972)\/(-606933))\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55764305 (base 8) to base 7.\nAnswer: 204306000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -185.2 to the nearest ten.\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 143\/(-44)*(-30 + -12238)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.312236 micrograms to nanograms.\nAnswer: 9312.236","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 1342.\nAnswer: 1\/1342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-11) + (-168)\/(-44). Solve -l*s = s - 5*h + 20, 3*h - 4 = -s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -17*n + 62. Is x(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 4*u. Let j = 4 - 2. Let b(a) = -a**2 - 2*a**2 + j*a**2. What is b(d(v))?\nAnswer: -16*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**2 - 125*a + 130.\nAnswer: -5*(a - 1)*(a + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 7430, 7663, 8474, 10151, 12982, 17255, 23258, 31279?\n\"Answer: 48*a**3 + a**2 - 106*a + 7487","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 b when two letters picked without replacement from oibdg.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a gram in micrograms?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 6 (b) 3\/4 (c) -1\/4 (d) -63.4 (e) 0.1 (f) 26\/9 (g) -0.4\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 15*q**2 - 4*q - 18*q**2 + 4*q. Let y(v) = -2*v - 13. Calculate f(y(d)).\nAnswer: -12*d**2 - 156*d - 507","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1121 is divided by 2744\/42*3\/4?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 474266 by -16354.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - 3?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 3328*j - 3349*j - 11 + 2 + 5.\nAnswer: -21*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of -b**6\/90 - 7*b**5\/60 - b**4\/2 - 10*b**3\/9 - 4*b**2\/3 - 14*b. Factor c(q).\nAnswer: -(q + 1)*(q + 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(g*g**1\/g)*g\/(g*g**(1\/3))*(g**(2\/9))**(-17)*g**(-1\/2)\/g*((((g**(1\/3)*g)\/g)\/g*g)\/g*g*g*g*g*g)\/g*g*g**(-3\/7)\/g**(3\/4) assuming g is positive.\nAnswer: g**(-619\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 106 + -124. Is 84\/i*(-261)\/6 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 + 0\/((-6)\/2) + 0. Let c(x) be the second derivative of x**4\/12 - 5*x**3\/6 + 2*x**2 - 17*x. Give c(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -25) + -36 - -14.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 252 and 11592?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-4\/5)*p*p**(-1\/27))**(2\/17) assuming p is positive.\nAnswer: p**(44\/2295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1194570 = 3*i - 5*i. Let x = i - 12715. Round x to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15248871 and 1782.\nAnswer: 91493226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l + l + l)*(62 - 62 - 6*l)*(10 - 10 - 32)*(-4 + 1 + 2).\nAnswer: 384*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -7932, -15867, -23804, -31743, -39684, -47627, -55572?\n\"Answer: -s**2 - 7932*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 303.33 - 303.34. Which is the smallest value? (a) 0.24 (b) -22 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -23*w**2 + 2*w - 2. Let l be b(1). Let q = 49 + l. Let i(v) = -2*v - 11. Calculate the remainder when q is divided by i(-10).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y - 5*y - 4*y)*(-129*y**3 + 154*y**3 + 175*y**3) + (3*y - 3*y + y)*(-y**3 + 4*y**3 - 4*y**3).\nAnswer: -2201*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -2*b**5\/7 + 226076*b**4\/7 - 6375668858*b**3\/7 - 741860707416*b**2\/7 - 21536038218312*b\/7 = 0?\nAnswer: -58, 0, 56577","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, -5.7, -0.5, -2\/7, -2 in increasing order.\nAnswer: -5.7, -2, -0.5, -2\/7, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -32480949, -64961867, -97442785, -129923703?\n\"Answer: -32480918*i - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9660 - -9792. What is the remainder when 1865 is divided by u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 34\/(-1)*(-3)\/6. Let z = 18 - y. Suppose 3*x = x. Sort x, z, 2.\nAnswer: x, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 g, 1 t, and 1 u when four letters picked without replacement from {g: 1, j: 1, t: 3, n: 4, b: 4, u: 1}.\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*m - 14. Suppose 0 = -w + 3*k - m, 3*w + 0 = 5*k - 5. Let s = 3 - 2. Solve 0 = h + w - s for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i*(i\/(i*i**(-21)*i*i))\/i)\/((i**(-1\/8)*i)\/i*i*i))**(2\/5))**(16\/9))**(-20) assuming i is positive.\nAnswer: i**(-2192\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/v**(-4\/5))\/v)\/v)**(-49) assuming v is positive.\nAnswer: v**(49\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 - 6*p**2 - 4*p - 2. What is a(-5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 42.82 + -47.82. Suppose 0 = 4*g - 2*y + 10, 0*y - 6 = 5*g + 4*y. What is the second smallest value in r, -4, g, -0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -20\/45865833 and -83\/9408376.\nAnswer: 366926664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.06, 398\/5, 3, 0.022 in descending order.\nAnswer: 398\/5, 3, 0.06, 0.022","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -265, -265, -263, -259, -253, -245, -235?\n\"Answer: z**2 - 3*z - 263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 41 + 61. Let z be 1\/((-4)\/28) - -3. Let d = 11 + z. What is the remainder when s is divided by d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 218? (a) -3\/38 (b) -9\/139 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 + 8*t**2 + 6*t - 8. Let r be k(9). Let f = r - -70. Calculate the remainder when 67 is divided by f.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132 is divided by 23?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 74*l**2 - 2*l - 29. Is g(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 7) in base 11?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8340*k + 41685*k - 8333*k - 8340*k - 8333*k - 8341*k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 800849 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27281 - -27280.9. What is the nearest to -1\/14 in 14, a, -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(12\/(-32))*-16*(-1)\/8\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 99178?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 4:06 AM?\nAnswer: 6:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1*9\/18*(-4)\/(-2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 AM and 3:32 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 24259 divided by -1427?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = 5*t + 14, 3*t = -11278*c + 11280*c - 9 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.303 - -0.003. Let z = x - -2.286. Let b = -0.013941 - z. Round b to five dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/2 and 10706\/196365*(-2)\/16*-10?\nAnswer: 1482","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -3 and -459924 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-11) - (-42)\/11. Let l(f) = -f + b*f + 7*f + 3 - f - f**2. What are the prime factors of l(7)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(192)*-1*6 + 2*(sqrt(192) + -1 + sqrt(192)) + -5 + 1 + sqrt(192) + -4 + -2)**2 + 2).\nAnswer: -1690 - 960*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2143, 4288, 6433, 8578?\n\"Answer: 2145*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/3 (b) 3 (c) -0.3 (d) 26 (e) -135\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -220 + 212 = -4*r - u, -3*r - 3*u = 3. Let s(h) = 14*h**3 + 3*h**2 - 3. Let p(o) = -29*o**3 - 5*o**2 + 5. Determine r*p(x) + 5*s(x).\nAnswer: -17*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48 and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -3*u**2 - 85*u - 571. Let l be v(-11). Let h be -3 - (-4)\/((-8)\/(-26)). Solve -3*o = -h + l for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ky when two letters picked without replacement from {k: 3, c: 4, b: 1, v: 4, y: 4}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 277844?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -51013641 (base 7) to base 5.\nAnswer: -2041122432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-34)\/(-119))\/((-4)\/(-70)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 + j. Let b(r) = -4*r**3 - r**2 - 2*r + 1. Suppose -2*o + 4 = 2. Let p(a) = o*b(a) + 3*h(a). Suppose p(s) = 0. What is s?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - 2) + -1 + 1 + (-31 - -30)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r = 5*r + 102. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -6*f + 3. Let s = -61 + 61. Suppose v - 11 + 9 = s. Let m(l) = -106*l + 57*l - v - 3 + 60*l. Calculate -3*m(i) - 5*z(i).\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -228*u - 16602 - 441 = 134*u - 63*u for u.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -60.46838717 - -154.76839178. Let p = 94.3 - l. What is p rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 4*b - 3653, 0*t - 5*b - 2184 = -3*t. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-153)*(-3 + (-6)\/(-1))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 + 4*i - 3. Let w be c(-5). Suppose -w*o + 1 = -29. Solve -2*p = -5 + o for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - -7*10\/(-70)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -9. Let h(d) = -3 - 1 + s. Let r(w) = -w + 10. Calculate -11*h(i) - 2*r(i).\nAnswer: 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -7*n**3 - 8*n**2 - 2*n. Let i(k) = -k**2 + k. Let f(y) = -2*i(y) - p(y). What is the third derivative of f(a) wrt a?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2918000 rounded to the nearest 10000?\nAnswer: 2920000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -3*f - 3. What is m(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 43*t + 6. Let n(y) = 41*y + 6. Let b(k) = -2*m(k) + 3*n(k). What is the tens digit of b(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 PM and 3:57 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 10, d: 2}. Give prob of picking 2 d.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1715))\/(-2*sqrt(5)*-1).\nAnswer: -7*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 6918*k - 2661*k + 2485*k as a*k + q and give a.\nAnswer: 6742","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24949\/191214 - 3\/3541. Find the common denominator of 73\/126 and n.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 347599 to the power of 1\/3, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 227*a**3 + 0*a**2 + 0*a**2.\nAnswer: 227*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.31 + 0.81. Let q = -1.464 - -0.194. Let i = -5.73 + q. Which is the nearest to i? (a) -0.02 (b) u (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 336 + -335.6. What is the nearest to -4 in -2, -1, z?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36847303 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 103064, 206124, 309184?\n\"Answer: 103060*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 4:43 AM?\nAnswer: 7:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of a*l**4 - a*l**2 - 2*a*l + 15*l**4 + 2*l**3 + 2*l**2 wrt l?\nAnswer: 24*a*l + 360*l + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/915 and 56\/5.\nAnswer: 915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 2*u + 8 = 0, 2 = 2*c + 5*u + 3. Solve l - 3*t - c = -1, -5*t - 30 = 4*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -0.152.\nAnswer: 0.0608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that t**3\/5 + 14*t**2\/5 + 33*t\/5 = 0.\nAnswer: -11, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 55 or -1377223?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 686 and 11536?\nAnswer: 565264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w**3\/8 + 9*w**2\/4 + 51*w\/8 - 91\/4 = 0. Calculate w.\nAnswer: -13, -7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 158756, 315457, 472158, 628859, 785560?\n\"Answer: 156701*v + 2055","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((6 - 3) + ((-512)\/48)\/16)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2109523, -2109525, -2109527, -2109529?\n\"Answer: -2*v - 2109521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -s**4 + 60*s**3 - 702*s**2 - 5940*s - 9801 = 0.\nAnswer: -3, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = 18 + 4, 216*v = 219*v - q + 3*q + 41 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 10 - -110?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 - 3)*(-3 + 3 - 3)*(-5*s + 23*s - s)*(-s + 4*s - s).\nAnswer: 204*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.155, 3\/4, -3\/5, 0.3 in decreasing order.\nAnswer: 3\/4, 0.3, -0.155, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + 4*b + 2*b - 5 + 5 + 2*b + 6*b - 3*b - b + (3 - 5 + 3)*(-2 + b + 2) - 2*b - 3 + 3 - 114 + 114 - 13*b)*(1 + 0 + 1).\nAnswer: -10*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 125\/162 and 37\/49994.\nAnswer: 4049514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 6*p**2 - 1 - 9*p**2 + 5*p**3 + 3*p**2. What is j(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -17 + (-28 - -33) - -3 - -7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*o**2 + 66*o**2 - 186*o**2.\nAnswer: -68*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -14223108*z. Let r(q) = 4*q. Determine p(r(v)).\nAnswer: -56892432*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + -1. Let v = 14 - 17. Which is the closest to q? (a) v (b) 1\/2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1119 a factor of 1902061874?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7890 a multiple of 120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (3\/18)\/(10\/(-30)) + (-67371)\/(-6).\nAnswer: 2, 7, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8228720 to the power of 1\/5, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/42)\/(4 + 102\/(-21)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -48 and 32.2?\nAnswer: -1545.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/24 and -143\/49188?\nAnswer: 98376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 421 is divided by 97?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.01 + -30.01. Let x = 32 + q. Let j be (-30)\/(-12)*6\/30*3. Which is the nearest to 0.2? (a) x (b) -5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-2\/3)*i**(2\/7)*i assuming i is positive.\nAnswer: i**(13\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*h + 2*h + 2*h**2 + 35*h.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -197 + 218. Let d = 52 + y. What is the third biggest value in -5, d, 2\/13?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 10*h - 150 = 0. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 25\/4 of a microsecond?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*o**2 - 13 + 13)*(3*o**2 + 3*o**2 - 2*o**2).\nAnswer: -56*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r + 180 = 7*r. Suppose 0 = -3*b + 24 - r. Factor 2\/3 - 2*x**2 - 4\/3*x**b - 10\/3*x**3 + 2\/3*x.\nAnswer: -2*(x + 1)**3*(2*x - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 - 2)*(-4*g - g - 3*g)*(2*g**3 - 3*g**3 - g**3).\nAnswer: -64*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bygzttzyf. Give prob of picking 1 y and 1 t.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -4 + f**3 - 67*f + 33*f + 34*f - f**2. Let l(y) = -4*y + 22. Let x be l(5). Let o be p(x). Solve 3*g = -2*s + 13, g + o*g - 6 = s for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h + 12 = -5*h. Suppose -72*x**3 - 39*x**4 - 80*x**2 - 4*x**5 + 11*x**h + 11*x - 43*x = 0. Calculate x.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*v - 34*v + 13*v)*(-2 + 2*v + 2) + 3*v - 3*v + v**2 + (3 - 2*v - 3)*(2*v - 4*v + v).\nAnswer: -23*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12574261?\nAnswer: 7, 23, 78101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (4 + 0 + sqrt(272) + -4 - (2 + (sqrt(2448) + -1 - sqrt(2448)) - (1 + sqrt(2448) + 0)))**2.\nAnswer: 4357","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(51)\/(sqrt(3)*-3)*3*5.\nAnswer: 25*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36028, -72054, -108080, -144106, -180132, -216158?\nAnswer: -252184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-r + 4*r - 2*r)*(0*r**3 - 3*r**3 + 5*r**3) + 6*r**4 - 3*r**2 + r**2 - 7*r**4 in the form u*r**4 + c + k*r + o*r**2 + a*r**3 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1 (b) -4 (c) 1\/6 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 less than 0.049?\nAnswer: -0.951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 4 (c) 239 (d) -0.2 (e) 3 (f) 659 (g) 23\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(21)\/sqrt(3) - (1*sqrt(847) + sqrt(7))**2.\nAnswer: -1008 - 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-1688)\/(-27852))\/((-36)\/44)\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/(z\/(z*z*z**(6\/19)\/z*z)))*z**16)**14 assuming z is positive.\nAnswer: z**(3906\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 - 2*g**4 - 2*g**4 + 3*g**4 + g**4 + (5 - 3*g - 5)*(0 + 0 + 2*g**3) + (2*g**2 - g**2 - 2*g**2)*(3 + 2*g**2 - 3).\nAnswer: -8*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24 - -44. Let v = 23 - 31. Let g be -2 + 4 + 16 + v. What is the greatest common factor of b and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - (-10 - (-29 + 36 - -6))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 0*u - 312220*u**2 - 2 + 2*u.\nAnswer: -312220*u**2 + 2*u - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1648 - 7888*g + 3936*g + 3945*g.\nAnswer: -7*g + 1648","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 8*w + 85 - 72 + 27*w.\nAnswer: 35*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -78*i**2*v - 436*i**2 - 2*v with respect to v.\nAnswer: -78*i**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/42*45\/(-6))\/(36\/144)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -80896*m**3 + 45017*m wrt m.\nAnswer: -485376*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-490)\/21)\/((-1)\/3). Suppose -4*u + 11*u = l. Let c(d) = d**3 - 10*d**2 + 4*d - 15. What is the tens digit of c(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 105516 and 38124?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of -d**5\/5 + 35*d**4\/4 - 122*d + 60. Differentiate c(v) wrt v.\nAnswer: -4*v**3 + 105*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -5*p + p + 3*p. Let w(f) = -f. Let t(v) = 11*v. Let c(b) = -2*t(b) - 18*w(b). Give 6*c(h) - 22*u(h).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-8)*s)**2)**(-2\/15) assuming s is positive.\nAnswer: s**(28\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*t**2 + 11*t**2 + 2*t**2 - 2*t + (0 + 2*t + 1 - t)*(9*t - 7*t - 22*t) in the form y + u*t + o*t**2 and give o.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8635*c**3 + 4321*c**3 + 4331*c**3.\nAnswer: 17*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, 13693, 2.\nAnswer: -5, 2, 3, 13693","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of 0 + 8\/3*v**3 + 0*v - 31*v**2 + 1\/24*v**4. Give i(0).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -572 - -588. Find the second derivative of -63*c - 309*c**4 - 1 + 0 - q*c - 55*c + 0 wrt c.\nAnswer: -3708*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 149, 310, 483, 656, 817?\nAnswer: 954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(12) + (sqrt(30) + sqrt(90)\/sqrt(3))\/sqrt(10).\nAnswer: -2 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48186815?\nAnswer: 5, 9637363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -64177?\nAnswer: -19253.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 816.513 to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 23363 divided by -21?\nAnswer: -23363\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aancananaaaannaan. Give prob of picking 1 c and 3 n.\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 7:30 AM?\nAnswer: 9:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 - 3*j - 2. Let i be n(4). Suppose 4*p - 20 = -b - 7, 0 = -4*p + b + 3. Let y = i + p. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 390277 - -169570. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 10) in base 12?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -39064*t + 546776. What is s(14)?\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -411 + 425. Suppose 0 = -s*g + 8553 - 391. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10246 + 10264. Calculate the smallest common multiple of k and 99.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/10*-5*1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 21 = 5. Suppose -2*y + 2*j - t = -0*j, 5*y + 5*j = 30. Suppose -y*n = n + s - 29, s = 5. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -38 + 98734?\nAnswer: 98696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -n. Suppose 0*z - 2*z - 4*a - 84 = n, -3*z - a = 101. Let w = -19 - z. Calculate the greatest common divisor of 130 and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*(c*c\/c**(-1\/5))\/c)*c)**(3\/5) assuming c is positive.\nAnswer: c**(-3\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c**(-13\/2)*c*c**4 assuming c is positive.\nAnswer: 1\/sqrt(c)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -124*f**2 + f**2 + 56*f**2 - 7*f - 23*f**2 wrt f.\nAnswer: -180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + -5*((sqrt(25)*-2*-5 - sqrt(25))\/((1*sqrt(5) + sqrt(5))*5) + 2))*-3)**2 + 4.\nAnswer: 810*sqrt(5) + 7261\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 - 4*l**2 + 8*l - 2. Let n be g(4). Let u = 105 + n. Suppose -u - 3 = -2*j, 4*p - j = 931. Is 58 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 165198\/(-20) + (-14)\/(-7). Let k = -8267 - y. What is the common denominator of k and 62\/6*18\/(-8)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8612 + 34815\/4. Let p = 4109\/44 - b. What is the common denominator of p and 21\/28 - 3741\/(-860)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, v: 7, a: 1}. What is prob of sequence mam?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - -3. Let u(q) be the second derivative of -q + 1\/6*q**4 + 0*q**3 + c + 0*q**2. What is d in u(d) = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 1 - 171 = 0. Let r = -12 + d. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48 and 156?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -3*h + 2*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*n + 32 = 49. Let q(f) = 2*f**2 - 3. Let p(j) = -5*j**2 + 3*j + 12. Let d(v) = n*p(v) + 2*q(v). Determine d(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -14*b**2 - 2 + 2*b**2 + 3*b**2 - 6*b + 10*b**2. Let l(o) = o. Determine -4*l(z) - s(z).\nAnswer: -z**2 + 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 6:23 PM?\nAnswer: 5:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -73 + 133. Let a be ((-2)\/3)\/((-8)\/j). Suppose 2*h = -3*y + 75, 0*y - a*y = 2*h - 85. Is h a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 211 + -20200?\nAnswer: -12212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*l - 2213 + 2177 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -h + 0 + 3 - 2 + 7*h wrt h.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g**3 + 2*g**2 + 2*g - 2. Let x = 6 + -8. Let u be r(x). Let a = 26 - u. What is the lowest common multiple of a and 20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 8, -7, -34, -73?\n\"Answer: -6*d**2 + 3*d + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(-3)*125\/(-175).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -18 + -835?\nAnswer: -853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 - c**2 - 6*c. Let j(o) = 2*o + 10. Let l be j(-6). What is the lowest common multiple of g(l) and 4?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifteenth of a decade in months?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 128, 773, 2550, 6047, 11852, 20553?\n\"Answer: 98*q**3 - 22*q**2 + 25*q + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 141850357.\nAnswer: 11, 1172317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 732 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25 + -17. Suppose -2*a - v = -6*a. Let k = a - -7. Is 7 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1232929 + 1232923.021053. Let r = 5.98 + x. What is r rounded to 4 dps?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (1 - -3 - 17) - (14 + -17).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1179666?\nAnswer: 2, 3, 65537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5156689 hours to milliseconds.\nAnswer: 1856408.04","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.451 + 0.819. Let s = a - 2.7. Round s to 1 decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 23.1 and 1890.\nAnswer: 43659","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 + -24. Let m(w) = 240964 - 240944 - 11*w + 12*w. Calculate m(k).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n**3 + n**2 - 102*n + 11. Give t(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -7, 3, 219, 0 in descending order.\nAnswer: 219, 3, 0, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + 12346?\nAnswer: 12347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12 + 95862\/48 + 4\/(-32) is divided by 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/((143\/66)\/(-13)) - 90)\/(6 + -5).\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1334309 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of -l**3\/2 + 3*l. Let w(a) = -118*a**2 + 3*a + 129*a**2 - 3*a. Determine w(n(h)).\nAnswer: 99*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 71 divided by 2751.\nAnswer: 71\/2751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48918 is divided by 5403?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 34441111 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fbhyrwr. What is prob of picking 1 y, 1 b, and 1 h?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 50625579?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-4))**38 assuming l is positive.\nAnswer: l**190","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 1 + 6)*(2*m - m + 2*m)*(m**3 - m**3 - m**3) as j*m**4 + k*m**2 + u + v*m + n*m**3 and give j.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -255506061 + 5?\nAnswer: -255506053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -14*1\/4*-74?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 PM and 6:08 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7\/1*14\/49. Solve 17 = 5*i + y for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 234592 is divided by 13797?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 49436 and 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -339*s + 90422 = 757*s + 463*s for s.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3685 = 19*y - 3666 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 147.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of -h**3\/2 - 157*h - 1. Let b(p) = 65*p**2. What is b(r(l))?\nAnswer: 585*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2\/157 - 479\/628. Let r = -0.1 - -0.3. Which is the closest to 2? (a) 1\/2 (b) r (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = -3*n + 4*g + 54, -4*n + 3*g = -93 + 92 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 276 is divided by 96.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 188689*y + 119406 with respect to y.\nAnswer: 188689","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-80)\/896 + (-3)\/(-8). Let d = 19 + -18.7. What is the nearest to w in d, 0.1, -5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 70018?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 62532446 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*r + 6, 0 = 4*d - 3*r - r for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2591028 - 2591028 + 3*q.\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 163*x - 142*x = -3 - 333 for x.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 8*o**2 - 8*o - 32. Suppose -m = -5*i - 25, 3*m = 4*i - 2*m - 1. What is the tens digit of p(i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 90 + 1554. Let j be (-11)\/33 + c\/(-18). Suppose 3*b + 2*l = 5, 3*l + 9 + 6 = 0. Solve 5*i - 22 + 2 = -3*z, 0 = b*i - z - j for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = n - 147, -h + 2*n + 4 = 32. Let r be ((-1)\/3)\/(57\/h). Is -2\/9 less than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mrccvvmrvcbckkm. What is prob of picking 2 m and 2 r?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 5*j + 3*y, 3*j - 4*y = 4*j + 20. Let i(o) be the first derivative of o**2\/2 - 8*o - 1. Let p be i(6). What is the closest to 0.1 in -1, j, p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 72*j - 80*j + 56 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*g = 45*g + 6. Solve -g*h - h - 5*d = -13, -2*h + 1 = -3*d for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-135)*(-20)\/15*(-13311)\/204.\nAnswer: 29\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27199 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -152\/3 (b) -2 (c) 2970 (d) 11.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(2\/15*-5). Suppose 0 = -2*i - 4, -4*q - 3*i + 7*i + 12 = 0. Let r(d) = -d**2 + 5*d - 2*d - q - d. Give r(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24657113389 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, w: 1, b: 1, g: 2, y: 2, u: 1}. What is prob of sequence ygkg?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 20 + (-15)\/(1 - -2). Suppose -o + 0 = -3, -4*r = -4*o. Sort r, d, -3.\nAnswer: -3, r, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h**5\/2 - 43485*h**4\/2 - 78778509*h**3 + 78843744*h**2 + 157600512*h = 0. Calculate h.\nAnswer: -7248, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 202247 a multiple of 213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.07 - -0.07. Sort 0.8, s, 4 in descending order.\nAnswer: 4, 0.8, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2221815 and 765.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 + -16. Suppose 69 = 4*w - 31. Suppose -b - 4*b + w = s. Solve 4 + 6 = -b*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of l**6\/720 - 5*l**4\/8 - 14*l**2. Let w(c) be the second derivative of s(c). Suppose 0 = 4*z - 3*z + 4. Give w(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 c when two letters picked without replacement from psasclx?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1592 + 1?\nAnswer: -1591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 740\/18 - -1 - 1348\/12132?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 102796667 to the nearest integer?\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5822289 and 269.1.\nAnswer: 5822558.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12540 and 420.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 2*a + 510, 24 - 4 = -4*a. Suppose 0 = -116*n + 111*n - v. Is 7 a factor of 99\/4 + 2 + (-5)\/n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -375.5 - -378.5. Put r, 2\/15, 0.146 in ascending order.\nAnswer: 2\/15, 0.146, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 894 take away -7.5?\nAnswer: 901.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 1 = -9. Let p = 67 + -19. Let a = p + -41. Solve -h = 5*k - a for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1121211210 (base 3) in base 9?\nAnswer: -47753","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -164 = -5*l + 226. Let z(r) = -4*r - 4. What is the remainder when l is divided by z(-6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(99) + 2)*-2.\nAnswer: -6*sqrt(11) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 6 = x. Let v = x + -5. Is -14*(3\/(-6) + v) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33 is divided by 27.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 v when three letters picked without replacement from {v: 7, t: 2, g: 1}.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3 to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.02 - -0.01. Let j = -0.01 + 2.01. What is the biggest value in j, -3, t?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19 and 361?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -13811095931 + -1.341\nAnswer: -13811095932.341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*5*sqrt(11)*-5*5*5.\nAnswer: 3125*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3745894\/5 or 1\/5?\nAnswer: 3745894\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 409 is divided by (-748)\/6*(-108 - -105).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 6:28 AM?\nAnswer: 4:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2 + l + 19. Give a(0).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of 2 + 0*s**2 + 0*s**3 - 1\/4*s**4 - 3*s. What is the derivative of o(f) wrt f?\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkbggbbgkkttktkbg. What is prob of sequence tt?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*z - z + 0*z)*(-1 + 3 - 5) + 2 + z - 2 to the form o*z + g and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -23, -22, -19, -14, -7, 2, 13?\n\"Answer: v**2 - 2*v - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7123881 - -2?\nAnswer: 7123883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x - 3. Let t be s(7). Suppose -3*o = -o - t*v - 12, -8 = -o + 4*v. Let k(b) = 2*b + 2 - 2 - o - 9*b**3 + 5 + b**2. What is k(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26 and 364?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/62 and -55\/412.\nAnswer: 12772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (308\/(-112))\/(176\/(-40))\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -45920490*m**3*y + 13*m**2 - 88*m*y - 660*m wrt m?\nAnswer: -275522940*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27)\/(2*sqrt(81) - sqrt(81)).\nAnswer: sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t**3 + 872475*t**2 - 141399999*t + 5727497121 = 0. What is t?\nAnswer: -290987, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v\/(v*(((v*v\/v**22*v)\/v)\/v)\/v))*v)\/(v**(-4)*v))\/(v**(-9))**(7\/10))**(15\/7) assuming v is positive.\nAnswer: v**(-321\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19*-15*(-548)\/(-91105).\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/3 - (-15)\/9. Suppose 4*w - 11 + v = -2*o, 0 = 2*o - 2*w - 22. Suppose d = -1 + o. Solve c + c = d for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10033303 - -10?\nAnswer: -10033233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -311 divided by 184897?\nAnswer: -311\/184897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 + 7*o**2 + 2*o - 7. Let g(p) = -p - 3. Let x be g(-10). List the prime factors of c(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g**3 - 60*g**2 - 292*g - 228 = 0. What is g?\nAnswer: -3, -1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -13 divided by 46\nAnswer: -13\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5721 (base 11) to base 8.\nAnswer: 16545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (64*s**3 - 1433*s + 1433*s)*(1 + 2 - 1) in the form j*s**3 + k*s**2 + i*s + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**6*m)\/((m*m*(m\/m**(2\/45))\/m)\/m))\/(m**(-1))**(-33\/5) assuming m is positive.\nAnswer: m**(-5\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 1.04241g?\nAnswer: 0.00000104241","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 43152050*l**3\/7 + 43300690*l**2\/7 + 148768*l\/7 + 128\/7.\nAnswer: 2*(l + 1)*(4645*l + 8)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 6, c: 7}. Give prob of sequence cccc.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5 (b) -0.17251 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -2 (b) -5 (c) -3\/5 (d) -0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 223005 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 308497772.\nAnswer: 2, 11, 103, 68071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 times 0.1459374?\nAnswer: -4.378122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/2 (b) 3 (c) 0.3 (d) 16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 143, 1\/16.\nAnswer: 1\/16, 6, 143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -4147\/9 greater than -460?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1379 and 189?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) -52\/9 (c) -1356\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 54 + -41. Let k(v) = 13 - 47*v + 34 + s*v. Is k(-15) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 8:16 PM?\nAnswer: 5:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 5*y - 323, n - 63 = -y - 0*y. Let m = y - 43. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -203*n = -175*n + 13608. Sort -2, 5, 3, n in descending order.\nAnswer: 5, 3, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1\/112 + 117\/560. Let r = 245\/2 + -124. Let h = 103 + -718\/7. Which is the closest to -1\/3? (a) j (b) r (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3\/3 + 2*p**2 - 4*p - 16\/3.\nAnswer: 2*(p - 2)*(p + 1)*(p + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -26*p**3 - 676953*p**2 + 234333*p.\nAnswer: -p*(p + 26037)*(26*p - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 52*p - 56*p + 3*t + 96697, -5*t - 120880 = -5*p. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1606999790?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3b (base 15) in base 10?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -8*f. Let c(t) be the second derivative of -1\/3*t**3 + 0 - 20*t + 0*t**2. Determine c(k(m)).\nAnswer: 16*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4782047070 to the nearest integer?\nAnswer: 1685","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2299 and 133.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6.3 and -474.\nAnswer: -2986.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dldw when four letters picked without replacement from {r: 1, w: 4, d: 2, a: 2, q: 3, l: 2}?\nAnswer: 2\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -20, 5*r - 11 = -0*p - p. Let o(h) = 19*h**2 - 4*h - 2. Let z be o(-1). What is the highest common divisor of z and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than -414385?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + (4 - (-1 - 2)) + (-3 - -3). Let f(k) = -9*k + 52. What is f(s)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 2*v + 0*v**2 + 5*v**3 - v**2 + 5*v**2 - 7*v**3 in the form l*v + f + b*v**2 + t*v**3 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 21*f**2 - 3*f - 8. Let j = -320 - -315. Let g be l(j). What is the highest common divisor of 7 and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 10 - (26 - (0 - 1))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(4\/3)\/(g*g**9))\/(g**(6\/11)*(g**(-2\/15)*g*g)\/g) assuming g is positive.\nAnswer: g**(-1663\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, -4, -5, 27 in decreasing order.\nAnswer: 27, -4, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 72632 - 2*c + 0*c**3 - c**3 - 72658 in the form a*c + u + d*c**3 + p*c**2 and give u.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1177 + 501*q**2 + 1176 - 110*q**2 to the form j*q**2 + d + m*q and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 z when four letters picked without replacement from zzzmmzzmmmmmm.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -44cc3 (base 13) to base 8\nAnswer: -364443","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Is 7082935 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 89.96511 weeks in nanoseconds?\nAnswer: 54410898528000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -9153500 to the nearest one hundred thousand.\nAnswer: -9200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 833 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in -0.03, -3, -2\/13, -5?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1665 less than 0.88?\nAnswer: 1665.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 4, -0.07, -4, -309?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.3, -5\/19, 1, 5, -8 in descending order.\nAnswer: 5, 1, 0.3, -5\/19, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4758.4 and -56.5?\nAnswer: 268849.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 2:41 PM?\nAnswer: 10:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -5. Suppose -2*j - 2*h - 70 = 0, -2*h = o*j - 3*h + 73. Let l = j + 52. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 4 = -2*a, -2*x + 8*a - 14 = 3*a. Let p be (x - -4)*66\/44. Factor -6*i**2 - 2\/5*i**p - 50 - 30*i.\nAnswer: -2*(i + 5)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 754043363 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (7 - 14) + (-2 - 0)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2 - 1 - 4 + 10 + 19*m**2 wrt m?\nAnswer: 38*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 445297 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do -170 and -55652\/325 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -40*u**2 - 88*u**3 - 128*u**3 - 223*u**2 - 164*u**3 wrt u?\nAnswer: -2280","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 65254 + -40614?\nAnswer: 24440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together -262132493 and -17802.\nAnswer: -262150295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6201, 12497, 18793?\nAnswer: 25089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 7*b**2 + 19*b + 21. Let w(m) = -4*m**2 - 10*m - 11. Let c(t) = -3*n(t) - 5*w(t). Determine c(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -1 - 4 + 1 + 3*a. Let q be m(3). Suppose -3*f = -q*f + 8. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q + 3*q + 10*q as u*q + j and give u.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -24*t + 1. Let a be x(-3). Let c = -7 + a. Let u be (-75)\/(-11) - (-12)\/c. Calculate the highest common factor of u and 63.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1573657 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 410 - 410401?\nAnswer: -405551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {a: 8, q: 3}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2438*g**2*v**5 - g**2*v**4 + g**2*v**2 - 256*g**2 wrt v?\nAnswer: -146280*g**2*v**2 - 24*g**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s**2 + 6*s**2 - s**2 - 3*s**2.\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of h**5\/60 + h**4\/12 - h**3\/2 - 3*h**2. Determine t so that o(t) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5732?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000932 to five decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-4))**(-5) assuming b is positive.\nAnswer: b**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 - 4*k + 5*k**2 + 5*k + 2*k + 3 + 0*k**3. Let t be n(-3). Let c = 200 + -128. Calculate the greatest common divisor of t and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*o**3 + 96387*o**2 - 48192*o.\nAnswer: -3*o*(o - 16064)*(2*o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 39.6877 and -2.1.\nAnswer: -83.34417","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of 7*r**5\/120 - r**4\/8 - 7*r**3\/6 - 2*r. Let j(m) be the second derivative of n(m). What are the prime factors of j(3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -587 and 0.2135 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 180 and 8940?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1 and 21092755.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5910 and 18579858.\nAnswer: 1182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of 7\/720*z**6 + 0*z**3 - 1\/120*z**5 + 1\/24*z**4 + 0*z + 0 - 7*z**2. Let u(o) be the second derivative of n(o). Determine u(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70 = 26*w - 34 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 51*((-580)\/12 - 5). Round c to the nearest one hundred.\nAnswer: -2700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**1*z*z**(-8)*(z**(2\/13)\/z)\/z**(1\/16))**18)**(-46) assuming z is positive.\nAnswer: z**(297459\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**2 + 34345*q + 27163920.\nAnswer: 5*(q + 912)*(q + 5957)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 5:53 AM?\nAnswer: 4:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -5. Suppose 0 = -k - 2*t + 6, -5*t + 7 + 3 = 0. Suppose 3*v = -k*v. Solve -i + w*i - 8 = v for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*l + 1. Suppose 0 = -2*f + 8, -l*s + 2*f - 2 = -0*f. What is the derivative of 4*t**s - 4*t**2 - 1 + 0 - 2*t**3 wrt t?\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14 and 5726?\nAnswer: 5726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**4\/4 + 3*b**3 - 3*b**2\/2 - 9*b + 27\/4.\nAnswer: 3*(b - 1)**2*(b + 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 9. Let k be (105\/9)\/y + 2. Suppose 12 = -4*v + f, -2*f = -7*f + 20. What is the smallest value in -2\/11, v, k?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 - 10*l**2 + 16*l + 50. Give m(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - (1 - 4)) + (1 - 4).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16*h*o**4*v + 206*h*o**3 - 22*h*o**2*v - h + 2*o**4*v - 8*o**2*v - o*v - 4 wrt o.\nAnswer: -384*h*o*v + 1236*h + 48*o*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17223 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 - 21. Which is greater: w or -2\/45?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1071202 and 2944.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 1683504515?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 2*i + 20 = 0, 87 = 3*o + 2*o + 3*i. Is o a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -181*b**2 - 236*b**2 - 226*b**2 + 748*b**2.\nAnswer: 105*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 + 20*w**2 + 12. Give z(20).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nhhn when four letters picked without replacement from {o: 2, h: 2, b: 1, n: 5, u: 4}.\nAnswer: 5\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 20*v + 8. Let q(g) = -2*g + 2. Let d(u) = 12*q(u) - 3*w(u). Let n(i) = -2*i**2. Calculate d(n(h)).\nAnswer: 168*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.016740211716 rounded to 4 decimal places?\nAnswer: -0.0167","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 - 2*w + 225. List the prime factors of q(0).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0, -17, -4, 1\/4, -97?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -352 - -251. Let m = 75 + w. Let k = m - -21. What is the second biggest value in k, 2\/7, -12?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -208 = 2*j + h, -318 = 3*j + h + 2*h. Round j to the nearest 10.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6.49 - -7.49. Sort -27, c, -1\/2, 3 in ascending order.\nAnswer: -27, -1\/2, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3\/10 - 23\/60. What is the third smallest value in 2\/5, p, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -3*b**2 + 6*b - 18. Let t be x(6). Let z be (748\/33)\/(2 - (-176)\/t). Round z to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -96.7196 + 94.2. Let z = -0.0096 - c. Round z to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 8 = -3*u, -2*w + 3*u + 4 = -w. Let q(a) = a**2 - 2*a. Let r(f) = f**3 + 4*f**2 - 7*f - 1. Let l(v) = w*r(v) - 4*q(v). Give l(-3).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-144)\/15)\/(6\/(-20)). Suppose 6*s - 4*s - 46 = -4*f, b = s - f. Is 29 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -62 - 10?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -5*o - 2. Let v be j(-1). Suppose -23 = -v*m + 7. Let z(h) = 16*h - 3. Calculate the remainder when z(2) is divided by m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2 - 82*i + 2604.\nAnswer: -2*(i - 21)*(i + 62)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -37105\/8998 - -32\/409. Find the common denominator of g and -119\/18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 151.4 - 14.4. Let x = r - 137.2. Which is the second smallest value? (a) 2 (b) 4 (c) 0.5 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v - 4 + 4 + v - 1 + 1 + (4*v + 3*v - 6*v)*(1 + 2 - 2) + 3*v - v - v - 5*v + 2*v + 5*v - 52*v - 1 + 112*v + 269*v.\nAnswer: 333*v - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a tonne in kilograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence crcn when four letters picked without replacement from crcrsnsnnnc.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5e74 + -5?\nAnswer: -5e79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*t**2 - 3*t**2 - 5*t - 6686 + 6687 in the form k + w*t + g*t**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1286 + 1282. Let n = 1694\/9 - 188. Does n = q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 169995*t**4 - t**2 + 2*t + 2179066?\nAnswer: 679980*t**3 - 2*t + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 88224 and 13408.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47, 92, 139, 188?\nAnswer: 239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4954688, 9909376, 14864060, 19818740, 24773416?\nAnswer: 29728088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10079 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 438196.\nAnswer: 2, 11, 23, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*r**4 + 1 - 3*r**2 + 2*r**2 + 4*r**2 + 12*r**2 + 3*r + 2*r**4 in the form j*r + t*r**4 + s*r**3 + h*r**2 + u and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 27313019 to the nearest integer?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 19 - 4. Suppose -2*m - a + 13 = 0, -m + t*a - 4 = -0*a. Suppose -m*u - 113 = 102. What is u rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 113670575 and 75?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15679?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 390, -27 in increasing order.\nAnswer: -27, -4, 390","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -297 divided by 1?\nAnswer: -297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 15901b4 + -3?\nAnswer: 15901b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9 times 0.47?\nAnswer: -0.423","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-3 + sqrt(13) + -4) + (sqrt(1872)*3*-6)**2.\nAnswer: -5*sqrt(13) + 606563","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -1004*m + 24557. Let s = -10 - -28. Calculate the remainder when b(24) is divided by s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5\/5087 or -1?\nAnswer: -5\/5087","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 1209*h + 1077 - 2425*h + 690 + 1217*h in the form b + w*h and give b.\nAnswer: 1767","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 176 and 12364?\nAnswer: 49456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 + 114*f**2 + 34*f - 3826. What is s(114)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b + b - 3*b)*((-1 + 1 - 2)*(6 - 4 - 4) - 2 - 4 + 1 + 1 - 2 - 1) + (1 - 1 - b)*(1 - 2 - 1).\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32, -6, 58, 178, 372, 658, 1054?\nAnswer: 1578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*y - 2*y + 8*y - 2*y as n + q*y and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 + 1. Let v(n) = -6*n**2 + 5. Let z(k) = 5*f(k) - v(k). Let j(r) = -2*r + r - 3*r. Give j(z(s)).\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.257464 - 9.7425232. Let w = 1.3 + -12.3. Let u = w - i. What is u rounded to 6 decimal places?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of 77*a**4\/12 + a**3\/6 + 2*a**2 - 5*a - 13. What is the hundreds digit of x(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -587624, -587664, -587704?\n\"Answer: -40*q - 587584","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 - 11*b + 24. Calculate the least common multiple of 14 and v(-12).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -20*n + 9. Let u(x) = -16*x + 2*x + 3 + 6*x + x. Determine -6*f(s) + 17*u(s).\nAnswer: s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of -1\/3*k**4 + 22 - 2\/75*k**6 + 0*k**2 + 0*k**3 - 5*k + 6\/25*k**5. Factor n(x).\nAnswer: -4*x**2*(x - 5)*(x - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1198 - 1194. Let c(s) be the first derivative of 0*s + 1\/9*s**3 + 1\/4*s**h - 5 + 0*s**2 - 4\/15*s**5. Factor c(r).\nAnswer: -r**2*(r - 1)*(4*r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*z = 2*s - 22*z + 8, 0 = 5*s + 4*z + 20 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 7155 = -5*w, 0 = -3*w - 4*x - 0*x + 4286. Let a(f) = 2*f - w + 1430. Let r(b) = -4*b. Calculate r(a(q)).\nAnswer: -8*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/v**(-6)*v\/v**(3\/7)*v**0\/(v\/v**(-1\/11)*v)*(v**(2\/5))**(-11)*(v**0)**(-1\/76) assuming v is positive.\nAnswer: v**(416\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 AM and 11:56 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58532 = 4903*u - 255260 for u.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 AM and 3:10 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2*i**2. Let w(h) = h. Let z(b) = -4*b. Let u(p) = -2*w(p) - z(p). Determine c(u(r)).\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3267497 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 3.8. Sort 2\/3, t, -5 in descending order.\nAnswer: 2\/3, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 3*v**3 - 99*v**2\/5 + 48*v\/5 + 36\/5 = 0.\nAnswer: -2\/5, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82034 is divided by 183.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12)\/(-10)*((-231)\/(-14) - -1). Suppose 2*d = 5*j - 2104, 4*d = -19*j + w*j - 832. What are the prime factors of j?\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 9291, 14548, 19833, 25152, 30511?\n\"Answer: p**3 + 8*p**2 + 5226*p + 4056","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 23, 38?\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3300701 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 15353776?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/22 + 1887\/33 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 459*l + 692 = -7111 for l.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 0.3, 1, -155, -37, -1\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h + 2*h**2 + 1 + 0*h + 3*h**2 - 4*h**2. Let o be l(0). Suppose f - o = 2*k, f - 2*k - 6 = -f. Solve f*m + 5 - 25 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-16)*-644*132\/(-4554).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 756594*y - 756550*y + 44 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4444, 4340, 4184, 3952, 3620, 3164, 2560?\nAnswer: 1784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -17050 rounded to the nearest 1000?\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gz when two letters picked without replacement from {a: 2, w: 2, g: 6, z: 1, m: 3, c: 4}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23.4 - -23. Suppose 0 = 793*y - 787*y - 30. Put y, z, -0.1, -25 in increasing order.\nAnswer: -25, z, -0.1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p = -2*p. Suppose p = 2*d - 7*d. Suppose d = 5*v - w - 2*w - 85, -4*w + 120 = 5*v. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, r: 4, p: 6}. What is prob of picking 1 j and 3 r?\nAnswer: 12\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.063 rounded to 2 decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -35341862 divided by -2\nAnswer: 17670931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/5 (b) 0 (c) 2\/11 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**2 - 6*o**2 - o**2)*(-97*o - 107*o + 202*o + 32).\nAnswer: 10*o**3 - 160*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w + 2. Let k be r(0). Suppose -1 = -k*m + 2*u + 105, 4*m + 5*u - 212 = 0. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2493910715.\nAnswer: 5, 151, 3303193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 3\/8, -0.5, 0.4, 294?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 24 = 5*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6303 is divided by 883?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -31401656 (base 8) in base 3?\nAnswer: -110120122221100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-10)\/(-3) - 0) + -2. Let b(m) = 209*m - 2506. Let i be b(12). Factor 2\/3*j + 2\/3*j**5 + 0 + 0*j**4 + 0*j**i - u*j**3.\nAnswer: 2*j*(j - 1)**2*(j + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 5 = 3*h - 23, -2*h - 8 = 4*r. Suppose 3*z = -4*x - 61, -h*z - 15 = 5*x + 28. Let n = 29 + z. What is the highest common divisor of n and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52586082?\nAnswer: 2, 3, 163, 17923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -34 - 23?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3967.8, -4, 3, 129 in descending order.\nAnswer: 3967.8, 129, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 30*f + 13*f + 172 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1248?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 571*k**3 + 15*k - 39*k + 21*k - 3*k**2.\nAnswer: 571*k**3 - 3*k**2 - 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 527 - 508. Put j, 5, 2, 1 in descending order.\nAnswer: j, 5, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 306697 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -283954, -284023, -284090, -284155, -284218, -284279, -284338?\nAnswer: -284395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + -1. Let g = d + 3. Let m(q) = -1. Let b(t) = -1 - 2 - 2*t**2 + 9 + 0. What is g*b(z) + 4*m(z)?\nAnswer: -2*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1437 (base 8) to base 12.\nAnswer: -567","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12609 - 12511. Calculate the remainder when 3428 is divided by u.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*a**3 + 16*a - 16*a + 7*a**3 + 147*a**2 - 147*a**2 - 16 + (-4*a + 4*a + 3*a**3)*(4 - 5 + 3) as t + j*a**2 + l*a**3 + b*a and give t.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58433c (base 14) to base 16.\nAnswer: 2de642","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5 (b) -3 (c) -1 (d) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 38584\/5 - 7717. Which is the closest to -2? (a) -1\/332 (b) k (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.4 and 12035.\nAnswer: -16849","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d + 3. Let h = 8 + -12. Let i(a) = 3*a - 12. Let q(u) = h*i(u) - 15*c(u). What is the first derivative of q(k) wrt k?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -196 + 1?\nAnswer: -195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96.96687 decades to months.\nAnswer: 11636.0244","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88 = 3*x - 73 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 89 = 17. Let t be (-639)\/n - (-2)\/4. Calculate the highest common divisor of 9 and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6 + (-2 - -2)\/1. What is the greatest common factor of p and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 AM and 5:06 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -2682866 != -2682879?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 s when two letters picked without replacement from akssasaaasa.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 224 + -145. Let j = k - 34. Calculate the greatest common factor of 18 and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 1 = -2*t, 0 = 5*t - v + 2 + 7. Let i be t\/((-2)\/3) - -62. Suppose 2*w - 357 = i. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**0\/t**(-4\/5))**(-10\/13))**13)**(-1\/44) assuming t is positive.\nAnswer: t**(2\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 110009 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of -r**6\/60 - r**5\/40 + r**4\/12 - 8*r - 20. Let a(x) be the first derivative of j(x). Factor a(d).\nAnswer: -d**2*(d - 1)*(d + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 10, -0.4, -0.07, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9193?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 11868113677 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 25 = 0, 4*h - 573 - 647 = -4*b. Calculate the remainder when b is divided by 114.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18021984?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q + 5*q - 5*q + 4 - 3*q - 4 + (-5*q + 0*q + 4*q)*(-1 + 3 - 3) + q - 3*q + 0*q + 26 - 13 - 328*q - 13.\nAnswer: -334*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of -25*u**8\/126 + 58*u**7\/21 - 253*u**6\/90 - 224*u**5\/45 + 10*u**4\/3 + 64*u**3\/9 - 1985*u**2. Solve k(t) = 0 for t.\nAnswer: -2\/5, 1\/2, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 16) in base 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1107 = 5*p - k, -3*p + 5*p - 5*k - 429 = 0. Suppose 0*x = -2*x + 5*h + 78, 5*x - p = -h. Is x a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -606*q - 135161. Determine k(-221).\nAnswer: -1235","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23 + -25. Let l be 1 + -5 - f - 4. Let y(u) = u**3 + 5*u**2 - 8*u - 7. Give y(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -32*x**2 + 53*x**2 + 10*x**2 + 3 + 97*x**2 + 205*x**2 as r*x + i + c*x**2 and give c.\nAnswer: 333","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88646*z**3 + 88474*z**3 + 88480*z**3 - 265601*z**3.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 - 17*d**2 - 78*d - 153. Calculate j(-11).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-4) + (-13)\/(-26).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-3\/4))**(2\/3)*((s\/(s\/(s\/(s*s*s*s**7))))\/s)**26 assuming s is positive.\nAnswer: s**(-1553\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*t + 0*t + t)*(6*t - 2*t - 2*t) + 2*t**2 + 0 + 0 + (-4*t + t + 5*t)*(2 - 5 - 65*t + 62*t) in the form v + i*t**2 + s*t and give s.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -9*g + 31. Let h be l(-14). Let n = h + -155. Determine q, given that 2\/7*q**n + 4\/7*q - 6\/7 = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.13*-0.01\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -29, 0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 456eab + -6?\nAnswer: 456ea5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 11728 to the power of 1\/2, to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/12 - 2\/4. Which is bigger: 3\/19 or o?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -102 + 102. Suppose 5*y + 4*m - 280 = k, -4*y + 11*m = 14*m - 224. Does 14 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-1 + (sqrt(448) + -2*sqrt(448) + sqrt(448) - sqrt(448)) + sqrt(448))**2 + 5*sqrt(70)\/((sqrt(10) + sqrt(10)*-2)*4 - sqrt(10)).\nAnswer: -sqrt(7) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3642*s - 127417 - 36473 = 0 for s.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (148 + 173*d**2 - 148)*(-3*d**2 - 2*d + 4*d - 2*d**2) to the form l*d**2 + v + f*d**4 + i*d + p*d**3 and give p.\nAnswer: 346","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(16)\/sqrt(2) + 0 + sqrt(8).\nAnswer: 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 15 - 46*c - 8 - 8 in the form n + x*c and give x.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -74 + (21 - (-16 + 14)) - 22?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*p - p - p)*(1 + 0 + 1)*(-4 + 3 - 3)*(7923*p - 3967*p - 1876 - 3957*p) in the form k*p**2 + l + f*p and give k.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y, -l - 3*y + y + 5 = 0. Solve l*p - 13 = 4*v - 2*v, 0 = v + 4*p for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**9*j\/(j\/j**(-2\/5)))**21 assuming j is positive.\nAnswer: j**(903\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8 and -10118440.\nAnswer: -80947520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18342839?\nAnswer: 3119, 5881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1123215?\nAnswer: 3, 5, 103, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-6))\/(572\/(-11622)) - (94 - 75)?\nAnswer: -60\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-6) + (-4)\/(48\/(-92)). Solve g*l = 4*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 10\/2303?\nAnswer: 10\/2303","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 314249, 314222, 314195, 314168, 314141?\n\"Answer: -27*f + 314276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.75 rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -4*c - 6. Let l(o) = 2. Let m(z) = 6*l(z) + 2*t(z). Let d(a) = -a**2 - a. Let w(r) = 10*r**2 + 11*r. Let u(b) = -22*d(b) - 2*w(b). Calculate u(m(g)).\nAnswer: 128*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, 0, 3, 1965?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3391, 21, -2, -4, -28, 1 in ascending order.\nAnswer: -28, -4, -2, 1, 21, 3391","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 56403 to the power of 1\/2, to the nearest integer?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, j: 3}. Give prob of sequence aj.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 14*i**2 + 6*i + 18. Let v(h) = 5*h**2 + 2*h + 6. Determine 6*b(r) - 17*v(r).\nAnswer: -r**2 + 2*r + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 10\/21 of a week?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -376*y - 609110*y**2 + 376*y.\nAnswer: -609110*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of -f**6\/15 - f**5\/10 - 5*f**4\/4 - 14*f. Find the third derivative of z(m) wrt m.\nAnswer: -48*m - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-147*t**2 + 70*t**2 + 70*t**2 + 3)*(2*t**2 - 3*t**2 - t**2).\nAnswer: 14*t**4 - 6*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 218 or 219?\nAnswer: 219","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7553)\/(-6474)*12\/(-1).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (116 - 116) + (1 - 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5332 + -5304. Calculate the remainder when 1622 is divided by m.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 778701.4 decades to millennia.\nAnswer: 7787.014","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29334 + 29341. Sort g, 2\/11, -0.5, -0.08, -5.8.\nAnswer: -5.8, -0.5, -0.08, 2\/11, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 r when three letters picked without replacement from {e: 4, r: 2, c: 4}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2. Suppose 0 = 4*c - 2*r + 84, 4*c + 2*r + 48 = 2*c. Let t(a) be the first derivative of 1\/2*a**2 + 4*a**3 - 1 - a. What is c*k(o) - 2*t(o)?\nAnswer: -2*o**2 - 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -2*c - 3*x - 0*x, c - 22 = -4*x. Suppose b + 25 = 2*t, -4*t - t - c*b + 58 = 0. Let i be -3*(-8)\/30*2\/t. Which is bigger: 0 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -340 + 344. Let k be 6\/(-1) + 2*(-1 + z). Solve k = 2*a - 3*j + 2, 4 + 2 = -3*a + 3*j for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4827 is divided by 32.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 28091 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 18 + 23840*c**2 + 6 + 22*c + 3*c - 23839*c**2 = 0?\nAnswer: -24, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -2*y**3\/13 + 731530*y**2\/13 - 10972552*y\/13 + 1463000 = 0.\nAnswer: 2, 13, 365750","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2*r + 6. Let q be j(-11). Let o = -19 + q. What is the units digit of ((-10)\/(-2) + -4)*o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 487\/2 - 239. Find q, given that z*q**3 + 1\/2*q - 2*q**4 - 3*q**2 + 0 = 0.\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 2*j + 45 = 0, 4*z - z - 6 = 3*j. Suppose 0*c + c - z = 0. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -208 + 192. Let k(p) = -86*p - 116. What are the prime factors of k(g)?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 2*p - 5*p = -9, 21 = 3*b - 3*p for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**33*f*f**(-1\/41)*(f\/(f*f\/f**28))\/f*f**22 assuming f is positive.\nAnswer: f**(3361\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wf when two letters picked without replacement from {w: 7, d: 2, k: 2, f: 3, c: 4}.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -72*f**2 + 196*f + 60.\nAnswer: -4*(f - 3)*(18*f + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2975810, -2975801, -2975778, -2975735, -2975666, -2975565, -2975426?\n\"Answer: z**3 + z**2 - z - 2975811","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20290458*t**3 + 65587*t - 72 wrt t.\nAnswer: -121742748*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n + 333. What are the prime factors of o(-31)?\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(208))**2 + (0 + sqrt(325))**2 + 1.\nAnswer: 7814","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (1722 - 1713) + 6 + -127?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 242 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/18)\/(((-55)\/(-6))\/(-5))?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 2*d**5\/9 + 196*d**4\/9 + 1988*d**3\/3 + 50536*d**2\/9 - 156046*d\/9 - 813604\/3 = 0.\nAnswer: -41, -11, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(7) + sqrt(175))*-6.\nAnswer: -36*sqrt(7) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28570632?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 1672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 5*h - 18. Calculate the remainder when 296 is divided by o(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-four fifths of a meter in centimeters?\nAnswer: 1280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 3*z = 105, -2*p + 4*z = -15 + 57. Let n = p - -22. Solve -f = -n - 1 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20617 and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -1 + -3 - 5\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 623190 is divided by 124636.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/36 + (-6240)\/180?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 80474?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07 - 1081574980702?\nAnswer: -1081574980702.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11366582?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34, 11, -30, -89, -166, -261, -374?\nAnswer: -505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 18\/(-12)*4\/(-2) + -3. Suppose p = 4*b + 11043974 - 283974. What is b rounded to the nearest 100000?\nAnswer: -2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1329508069 a multiple of 944?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -30974*u - 464623. Determine x(-15).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, 6, 240 in descending order.\nAnswer: 240, 6, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 38*z - 8. Let r be w(4). Suppose 5*d - r = d. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -10 and -418\/39 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1779.707349 microseconds to weeks.\nAnswer: 0.0000000029426378125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence imqi when four letters picked without replacement from {i: 2, q: 1, m: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1290\/432 + -8 + (-2)\/18 and -137\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = -3*k - 31, -3*k = 4*m - 14 - 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 455 = -3*i. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -378 + 363. Sort 0.5, 0.1, h in ascending order.\nAnswer: h, 0.1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of -1\/32*y**5 + 1\/560*y**7 + 0 + 1\/896*y**8 - 30*y**2 - 1\/32*y**4 + 0*y**3 - 3\/320*y**6 + 0*y. Find n, given that g(n) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77 = -4*o - 69. Let l(y) be the third derivative of -1\/2*y**3 + 0*y + 1\/60*y**5 + 1\/24*y**4 + 0 - o*y**2. Determine l(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -72709\/3 - -23557. Let r = -702 - o. Let g = -48977\/11 + 4457. What is the common denominator of g and r?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*a + 21*a - 177 = 0. Let j = a + 101. Let r = j - 35. Which is smaller: 25\/4 or r?\nAnswer: 25\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 257*u - 6456500 = 157*u. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 1 = -p, 584*s - 582*s - 5*p = 29 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 - 24*h - 3. Let i be m(-11). Let q be -2 - (i\/(-4))\/5. Let b be 4 - q*6\/15. Solve 0 = b*z + 2*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of 0 - 6*k + 1\/6*k**3 + 0*k**2. Let o(r) = -2. Let n(g) = -2*g**2 - 44. Let u(v) = -2*n(v) + 44*o(v). What is f(u(z))?\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1641994 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2137421 is divided by 118745.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 2*m**5\/3 + 3089*m**4\/6 - 109270*m**3\/3 + 775210*m**2\/3 - 1354672*m\/3 - 388832\/3 = 0.\nAnswer: -838, -1\/4, 4, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**3 + 0*a**3 - a**3 + (a - 2*a + 0*a)*(207*a**2 + 8210*a - 8210*a) + 0*a**3 + 0*a**3 + 2*a**3.\nAnswer: -207*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i - 3. Let o be x(-4). Let m = -1 - o. What is the third smallest value in -1\/9, m, -1\/6?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*o - 6*o**2 - 6*o)*((2 - 2 + 2)*(-3*o + 1 - 1) + 16*o + 272 - 272 + 2 - o - 2) to the form l + r*o + v*o**3 + j*o**2 and give v.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149*d + 60 = 152*d. Suppose 4*s - 3*h + 8*h - d = 0, -2*h = -8. Solve s = -2*w - 3*a + 5, 3*w - 3*a + 2 = 2*a for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45981?\nAnswer: 3, 13, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4365 is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from tixtitkttkxx.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, h: 1, a: 1, n: 2}. What is prob of picking 2 n and 1 h?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252) - (5 + 1 + sqrt(252)) - (1 + sqrt(252) + 2)) + 2)**2.\nAnswer: 84*sqrt(7) + 301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.11 - -4.89. Let d = -774 + 479. Let k = d + 2069\/7. What is the third biggest value in 3\/5, p, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 171 a factor of 17875314?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.03 - 0.07. Let a = x + 0. What is the third biggest value in -1, a, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109 is divided by 38.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 32 (base 4) to base 3\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*h*s**3 + 1197*h*s + 2138*h + 145*s**3 - 754 wrt s.\nAnswer: -6*h*s**2 + 1197*h + 435*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/1787 in 31, 5, -5, -0.9, -1.7?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a3 + 6045?\nAnswer: 6138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 4*l + 3)*(-2153*l**3 - 26*l - 1 + 2074*l**3 + 21*l) in the form k*l**3 + c*l**4 + s*l + a + r*l**2 and give c.\nAnswer: -316","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*q + 8 + 31. Solve 0*n - 3*l = -4*n + 19, -3*n + q*l = -15 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-35))\/(10\/(-105))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of 0 - 1\/15*u**5 + 0*u**3 + 0*u**6 + 1\/168*u**8 - 1\/12*u**4 + 2\/105*u**7 + 0*u - 10*u**2. Find z such that p(z) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 = -160*x + 2418 + 1656. Solve -3*k - 22 = -x*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 15 = 5*l, 456*b - 459*b + 6 = 2*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-87)\/84 - (-3)\/4\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15910 and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1242375 + 1242274.9937. Let z = 100 + g. Round z to three decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 - 241*w - 7223. What is i(-27)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 28207951 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 33*i - 6. Suppose -6*c + 0*c = -24. Is 18 a factor of z(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*g - 23*g + 5185. Let i(w) = -3*w + w + 142 - g + 150. Give i(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1, 2, 0, 1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oomvvptmvotvootov. What is prob of sequence oo?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 368, 1, -5, 4 in descending order.\nAnswer: 368, 4, 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 4:54 PM?\nAnswer: 10:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/(v\/v**(-5\/2))*v)\/v)\/v*v*v**(-2\/15)*(v\/(v\/(v\/(v\/(v**(2\/59)\/v)*v)))*v*v)**32 assuming v is positive.\nAnswer: v**(-971\/1770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.3 (b) -79 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -12*m - 8*m**2 + 2*m**4 + 48*m**3 + 3*m**2 - 47*m**2 + 12 + 38 - 36*m = 0.\nAnswer: -25, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 3*o - 24, -3*o = -3*z - 4 - 2. Suppose -5*q = -4*q - 2. Let f(g) = -g**2 + g**2 - z*g**q. Let m(p) = p. Give f(m(y)).\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 9*k**3 - 20*k - 32. Let i(d) = 3*d**3 - 7*d - 11. Let a(o) = -6*b(o) + 17*i(o). Let r(n) = -4*n**3 + 2*n + 6. What is -5*a(v) + 4*r(v)?\nAnswer: -v**3 + 3*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8966, 0.4, -1, 3, -4 in ascending order.\nAnswer: -8966, -4, -1, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10147434 and 6?\nAnswer: 10147434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2047.\nAnswer: 23, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1138899623.\nAnswer: 1138899623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 207*x**3 - 12*x**3 + 530*x**3 - 5*x**3.\nAnswer: 720*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/((v**(1\/7)*v)\/v)*v**(-3\/5))\/(v*v**(-1\/5)*v)**23 assuming v is positive.\nAnswer: v**(-288\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 185? (a) -1\/4 (b) 1 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25830 to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10)\/(0 - -2) + (180 - 179). Let k(n) = -2*n**3 + n**3 + 5*n**2 + 2*n + 2*n**3 - 2. What is k(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 - 9*n + 1. What is o(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.3, -4\/7, -0.1, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*h - 3*h**2 + 14*h**2 - 9*h**2)*(-3 + 4 + 0) + (0*h + 0*h - h**2)*(-3 + 1 - 2) + 4 - 4 - 3*h**2 to the form w*h + i + k*h**2 and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - -209?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45484 is divided by 7463.\nAnswer: 706","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 50709 rounded to the nearest 100?\nAnswer: 50700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of -257 and 1077.355.\nAnswer: 820.355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/230 and 79\/17779598.\nAnswer: 88897990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, -12, 0.3, -3 in increasing order.\nAnswer: -12, -3, 0.3, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - ((-8 - 3) + (14 - 15))) + -80?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.05 - 0.05. Let k = -0.5 - -0.5. Let r = k + a. What is the closest to r in -1\/4, -1\/3, -3\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4186 - -5284. Calculate the greatest common divisor of 144 and a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i\/(i**(1\/4)*i)))**16\/(i**(-1\/4))**(-2\/29))\/((i*i**2\/i*i*i)\/(i*(i\/i**13)\/i))**(-11\/3) assuming i is positive.\nAnswer: i**(13685\/174)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-4585)\/(-2620)*40\/(-42)\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Is 452098529 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*p**2 + 17*p**4 - 2*p + 26*p**2 + 0*p + p wrt p?\nAnswer: 408*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.278 and 4.\nAnswer: -1.112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -20\/107? (a) -0.4 (b) 1 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15.8109986394 + 15.811. What is v rounded to 7 decimal places?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -n**2 + 3*n**2 + 1 + 4*n**4 + 0*n**2 - 3 as t*n**3 + h*n**2 + c + p*n**4 + r*n and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + 0. Let f = v - 0. Suppose f*g = -4*c + 2*c + 28, 3*c = 3*g - 48. List the prime factors of g.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) 1\/2 (b) 2318 (c) -37 (d) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 - 6*f**2 + 7*f - 6. Suppose -4*j = -2*k + 58, -3*k + 2 + 0 = -j. Let p = -26 - j. Let d = 14 + p. Give y(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u + 5*u - 2*u)*(-3 + 0 + 4 + (2 + 6 - 3)*(0 + 3 + 4))*(4 + 1 - 4).\nAnswer: 36*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 23 + 260 = 0. Let f = n + 152. Let d = 126 - f. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {i: 2, w: 1, r: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/3)\/((-6)\/(-18)). Let z(o) = o**2 - 3 + l + 4*o - 3. Is z(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -84.902934 rounded to one decimal place?\nAnswer: -84.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -19 + -6 + 16 - (18105\/(-1972) + (-1)\/(-4))\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7721\/39 + -198. Let n = i - 115\/78. Is -3 <= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100101010111011 + -11111?\nAnswer: 100101010011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -2*x**2\/13 + 26724*x\/13 + 4112 = 0?\nAnswer: -2, 13364","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 5. Let h be 22\/143 - (-100)\/26. Suppose 7*j + h*j = 55. Solve z - c + s = 0, j*c - c - 17 = 5*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*m**2 + m**2 + 33*m**2 + (-2*m + 0*m + 3*m)*(2*m - 6*m + 2*m))*(6 - 2 - 3)*(-5*m + 4*m + 0*m).\nAnswer: -24*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4062 a multiple of 177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*h - 237 - 247 - 263 - 210 + 957 - 3*h.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 83698?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000024 rounded to 7 decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4382*w - 4706 = -4706 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 722, -1174, 0.4 in ascending order.\nAnswer: -1174, 0.4, 722","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 2*q**2 + 1046*q - 8496 = 0?\nAnswer: -531, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -38*y - 38 + 36 + 2*y - 8*y in the form l + t*y and give t.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.4, -0.4, 99, -4, -0.2 in descending order.\nAnswer: 99, -0.2, -0.4, -1.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 5. Let y = c + 60. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1422 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9559.\nAnswer: 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ncnnckkclnnkcwkinn. Give prob of picking 1 i and 1 c.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 + 6*g - 24. Let l be n(4). Suppose -5*k + 40 = -40. Solve d + 5*v = -l, 2*d - v = -d + k for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -136820749 and -0.04.\nAnswer: -136820749.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*y**2 - 22*y**2 - 24*y**2)*(-33*y - 33*y**2 - 27*y**2 - 1 + 59*y**2).\nAnswer: 32*y**4 + 1056*y**3 + 32*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 - 6*c**2 - c. Let l(h) = h**2 - 12*h**2 - h**2 + 1 - h**2. Let a be l(-1). Let u = -18 - a. Give n(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40 * 1359\nAnswer: 54360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 3*z, -2*c + 0*z = 4*z + 4. Solve 5*h + r + 30 = -r, -4*h = -c*r + 6 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 + 8 + o**3 + 0 - 2*o**2 - 3*o**3 in the form n*o + y*o**2 + p + k*o**3 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25985 is divided by 122?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5889758.4ns to days.\nAnswer: 0.0000000681685","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/24660 and -41\/65.\nAnswer: 320580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 32\/5, -3\/4, 2\/11 in descending order.\nAnswer: 32\/5, 2\/11, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*o + 84*o - 2*x - 20 = 0, 0 = o + 3*x + 30 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7 - b?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**2\/5 + 9*a\/5 + 264\/5.\nAnswer: -3*(a - 11)*(a + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*b**2 + b**2 + 0*b**2)*(4*b - 4*b + b**2 + (-16 + 16 + 6*b)*(-2*b + 2*b + b)) to n*b + s + o*b**2 + v*b**4 + t*b**3 and give v.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -36840 or 0.335?\nAnswer: 0.335","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 4:26 PM?\nAnswer: 7:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-47 + 44)*((-6)\/(-18) - 1702\/(-69)).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.1 - 2. Let n be ((-15)\/6)\/((-2)\/(-4)). Let g(d) = -d - 1. Let p be g(n). What is the second biggest value in b, -2\/15, p?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -2, -4, 0.08, 3, 205\/8, 3\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -35, 0.5, -3 in descending order.\nAnswer: 0.5, -3, -8, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 18\/(-110)*((-100)\/105)\/((-52)\/(-182))\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 200 + -103. Suppose -m + a = -84. Suppose -5*o - 10 = 0, q + o + o = m. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.08, 1, -2, 18?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29 + 29. Let j = 19\/11 - 73\/55. Factor 8\/5*w + j*w**2 + n.\nAnswer: 2*w*(w + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.95, -350, -3, -23\/5?\nAnswer: -23\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -55 + 79. Suppose 2*u - 16 = u - 3*m, -s = -4*u - 2*m. Solve -i = u - 2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 59 + -59. Let u(j) be the first derivative of j**3 + d*j + 1\/2*j**2 + 1. What is the second derivative of u(f) wrt f?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*x - 11*x - 3 - 2*x)*(3 - 7 + 2)*(-3 + 3 - 2) + 11*x - 12*x - 2*x.\nAnswer: -23*x - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -4*f + 7. Solve 3*g - f = -1 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 + 42. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5 and -99383.35829.\nAnswer: -99388.35829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 4*s**3 + 12*s**2 + 4*s - 11. Let i be g(-8). Let y = 1961 + i. Let u = -273 + y. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 AM and 4:02 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -5*z**3 - 13*z**2 + 20*z - 56. What are the prime factors of s(-22)?\nAnswer: 2, 3, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**4 - 2188*g**3 + 1188052*g**2 + 9609696*g + 19289664.\nAnswer: (g - 1098)**2*(g + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27543\/5 + -3415157\/620. Let o = -1\/31 + l. What is w in -1\/4*w**5 + 0*w + 0 + 1\/4*w**4 + o*w**3 - 1\/4*w**2 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*o**2 - o + 1 - 3*o**4 - 9*o**2 + 6*o**2 as n*o**3 + h*o**4 + f + a*o + l*o**2 and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 58*m**2*o**3*r**4 - 2*m**2*o**2*r**2 - 9*m*r**4 - 4*o**3*r**2 + 13*o*r**2 wrt r.\nAnswer: 1392*m**2*o**3*r - 216*m*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 11*c + 291. Let b be p(-26). Let m(o) be the second derivative of -3*o**2 + 0*o**4 + 0*o**3 + 3*o + 0 + 7\/20*o**b. Differentiate m(h) wrt h.\nAnswer: 21*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15752 divided by -3938\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -74, -58, -38, -20, -10, -14?\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*n**2 + n**2 + 3*n**2 + 3*n**2 + 0*n + 0*n + (3*n**2 - 5*n**2 - n**2)*(-1 + 17 - 8) as s*n**2 + y + h*n and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 33563 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5587.2 - -5587. Which is the second biggest value? (a) 11 (b) l (c) -2\/9 (d) 0 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of n**3*x**3 - 3*n**3*x - 540*n**2*x**3 + x**3 - 818*x**2 wrt x.\nAnswer: 6*n**3 - 3240*n**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.1 - -3. Let b = -6.268 + 1.268. What is the closest to 1 in i, b, -4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -47, 4, 151, -3 in increasing order.\nAnswer: -47, -3, 2, 4, 151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 17776 or 1048871\/59?\nAnswer: 1048871\/59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 272 and 13420.\nAnswer: 912560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/9*(-1 + -5). Suppose -2*j = 4*a - 5 + 3, -2*a - 2*j = u. Calculate the remainder when a is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 255908, 255906, 255896, 255872, 255828, 255758, 255656?\n\"Answer: -s**3 + 2*s**2 - s + 255908","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 197 + -134. What is the tens digit of (18\/(-10))\/(o\/(-4830))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -6738746, -13477508, -20216270, -26955032, -33693794, -40432556?\n\"Answer: -6738762*q + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33142 divided by -5.\nAnswer: 33142\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of -1 - 1\/4*g**4 + 2*g + 0*g**3 + 3\/2*g**2. Suppose b(h) = 0. What is h?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -14*(195\/13 - 18)*(-20)\/(-42). Solve -m*r - 35 = 45 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - t + 35 = 0, -101*t - 88 = 4*q - 97*t for q.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28 and 868?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/4 + 10749*g - 115541001.\nAnswer: -(g - 21498)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = r + 4, -10 - 2 = 3*r + k for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001109 to 3 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 0.98. Let s = k + 1.98. Let o = 383\/6 - 64. Which is the closest to -1\/2? (a) s (b) -3\/4 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of 31*u**6\/30 - 22*u**2 + 4*u - 3. Differentiate r(w) wrt w.\nAnswer: 124*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8808 and 84.\nAnswer: 61656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 142 divide 13919?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*c - 103*c - 20 = 0, 0 = 3*f - 2*c + 13 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**3 - m**3 - m**3)*(-589*m - 59*m + 1062*m).\nAnswer: -828*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 208 and 322153.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 20 = 4*p. Suppose s = -s + p. Suppose 2*t = -4*f + s*t - 7, 4 = 2*f - 4*t. Round f to 0 dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*-1*(-244)\/305\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 83208.0581 to the nearest one thousand.\nAnswer: 83000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 - -1 - -2)\/1. Let a(h) = h**2 - 3*h + 4. Let d be a(3). Let l = 7 - 12. Sort l, p, d.\nAnswer: l, p, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2*105\/(-20)*(-16)\/(-6). Let d = 33 + b. List the prime factors of d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -7*o. Let n(x) = 20*x. Let w = -67 - -108. Suppose 24 = q + w. What is q*u(f) - 6*n(f)?\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.0106 - 2297\nAnswer: -2296.9894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a + 55 - 2*a + 6*a + 0*a.\nAnswer: a + 55","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -561*l + 32*l - 366*l + 21*l + 54*l.\nAnswer: -820*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4638449315363 - -0.3.\nAnswer: 4638449315363.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 34 = -90. Is r a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44 + 48 - 91 + 8*l - 1023*l**2 - 147*l**2.\nAnswer: -1170*l**2 + 8*l + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -272.054 to 0 decimal places.\nAnswer: -272","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.3 (b) -0.1 (c) 1\/3 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(1*-1*sqrt(704))**2.\nAnswer: -704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, v: 1, n: 2, g: 1}. What is prob of picking 2 q?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/2 + 98\/84. What is the second smallest value in -1, -1\/10, n?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -116335.\nAnswer: -2\/116335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 46*u**3 + 60*u**3 + 1.\nAnswer: 14*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 595 (b) 1\/6 (c) 4 (d) -2\/17 (e) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 703.0862 grams?\nAnswer: 703086200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 56 + (-13 - -19) - (-2 + -2 + -10)\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {x: 2, t: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2\/4 - 19*l\/4 - 23.\nAnswer: (l - 23)*(l + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1.416*11\nAnswer: -15.576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4575)\/53375)\/((6\/6)\/((-15)\/(-3)))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 PM and 7:28 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -5*s**2 - 31145*s + 1064710 = 0.\nAnswer: -6263, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l. Let a(v) = 75*v**2 + 169*v**2 + 43*v**2 + 106*v**2 + 42*v**2. What is y(a(q))?\nAnswer: 435*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 PM and 2:53 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c + 1. Suppose q + 4*k = 19 - 1, -5*q = -5*k + 10. Let f(v) = 173 + 7*v + 2*v + 2*v**q - 170. Let b(g) = 2*f(g) - 6*w(g). Factor b(y).\nAnswer: 4*y*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of -u**5\/540 - 2*u**4\/9 - 32*u**3\/3 - 2*u**2 - 36. What is j in x(j) = 0?\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/2 + (-15)\/(-6). Let u be 1\/(-3) - (-80)\/6. Suppose -2*z - 6*g + 2*g = -16, z + u = 5*g. Which is smaller: a or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.0371 greater than 2632.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 2*g + 49 = 0, 231 = 5*n + 4*g - g. What is the remainder when n is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14210 + 14264. Solve y + 26 = -20*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -6*i. Let y(m) = 452*m**2 - 896*m**2 + 451*m**2. Determine w(y(a)).\nAnswer: -42*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -41 by -602222.\nAnswer: 41\/602222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of y**6\/120 - y**5\/20 + y**4\/8 - y**3\/3 - 4*y**2. Let f(k) be the first derivative of w(k). Find c, given that f(c) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/234 and 115\/156.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 + 51 - 23 - 24 + 14 + s.\nAnswer: s + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 60 = 3*g, 2*n - 21 + 51 = g. Let o be ((-6)\/4)\/(n\/20). Suppose 3*h = o*h + 301. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 2)\/(-1) + -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i - 8. Let p be f(6). Suppose 4*q = p*u + 80, 0*u - 2*u = 8. Calculate the remainder when 45 is divided by q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 AM and 11:49 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -3*p**2 - 3*p. Let s be l(-2). Let d be -1*(s\/2)\/1. Solve -7*w - 16 = -d*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1263 - 1258. Which is the second biggest value? (a) f (b) 87 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 570 is divided by 36.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a - 5*a = -45. Let w(g) = -7*g + 12. Let x(b) = 5*b - 10. Let i(o) = -2*w(o) - 3*x(o). What is the tens digit of i(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -1.23, -1\/5, -27 in ascending order.\nAnswer: -27, -1.23, -1\/5, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108822011.\nAnswer: 108822011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*w - 2497 - 9911. Let h = 595 - w. Calculate the smallest common multiple of 54 and h.\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5 - 2)\/((-9)\/12). Let f = i - -6. Solve -6 = -4*b + f for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 7708?\nAnswer: 7708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 338645 or 338652?\nAnswer: 338645","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + -4731?\nAnswer: -472a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 r when two letters picked without replacement from mjrj?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.4 and 24469727146260?\nAnswer: 24469727146260.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 102\/(-357) - (2 - 92\/28).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4 and 144.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 0*w = 56. Let t be w\/(-21) - 19\/(-3). Are -1 and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f + 264 + 492 = 0. Let w = f - -85. Solve 14 = 5*o - w for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 390093?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 2*z - 10 = 3*b, 5*z = b + 23. Let s = 10 + b. What is the third derivative of 3 - 4*x**4 - 4 - x**s + 1 wrt x?\nAnswer: -96*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6 - -768420?\nAnswer: 768414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + -8. Let t = 470.1 + -250.9. Let f = 219 - t. What is the third smallest value in 4, f, b, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19098 - 19114.8656. Let c = 79.1285 - q. Let a = 96 - c. Round a to three decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82444769977 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 88 - 88. Suppose 14 = -2*a + 4*q, a = -p*a - 4*q + 23. Let f(j) be the first derivative of j**3\/3 + 3*j**2\/2 + 2*j - 2. Give f(a).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -160288\/7 - -22835. Let h = w - -63. Let p = -1.1 + 1. Put h, p, -1 in decreasing order.\nAnswer: p, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1902979897 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -124113 rounded to the nearest ten thousand?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3950012 and 42372.\nAnswer: 4708","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.065? (a) -0.4 (b) -7 (c) -0.1 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -3*p - 121, -u - 5*p = 2*u + 180. Let w = -28 - u. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21 + -89. Let d = 65 + f. Which is the biggest value? (a) 0.2 (b) 1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/18, -546\/5, 11\/142, -0.07 in descending order.\nAnswer: 11\/142, -1\/18, -0.07, -546\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 695 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -273349 greater than or equal to -273349?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*o + 2410*s - 2408*s = 34, 3*s - 62 = o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3851509 years to centuries.\nAnswer: 0.003851509","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(2\/7)\/a)\/(a\/a**(-5\/7)))\/(a\/(a\/(a\/((a\/a**(-2)*a)\/a*a))))**(2\/13) assuming a is positive.\nAnswer: a**(-88\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16 + 12. Let t = -2 - l. Let p be (1 - 2 - -1) + (-56)\/(-98). Sort -0.16, t, p in decreasing order.\nAnswer: t, p, -0.16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in y**2\/3 + 21507*y + 64518 = 0?\nAnswer: -64518, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tptt when four letters picked without replacement from ptttppptstttttpppct?\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16328*b**3*r**3 + b**2*r - 2718*b**2 - 5*b*r**3 wrt b.\nAnswer: -97968*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 4*p - 4, -2*p = -7*i + 2*i + 1. Let w(z) = 3*z + z**p + 3 - 8*z + z. Does 24 divide w(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(720)*2 + 5 + 1 + sqrt(720) + -4)*5)**2.\nAnswer: 3600*sqrt(5) + 162100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2489364763 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -75904 divided by 4\nAnswer: -18976","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 102, 91, 68, 27, -38, -133, -264, -437?\n\"Answer: -z**3 - 4*z + 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/4828 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to -12\/3864703?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 360 + -33121431?\nAnswer: -33121041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 60669536 a multiple of 829?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/2)\/(-1)*0. Let s be ((8*-1)\/4)\/(-2). Let p be 17\/(-34)*(s + -1). Solve q*r - r = p for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 - 2*m - 173. Let r be z(0). Let a = -238 + r. Let u = -218 - a. Round u to the nearest 10.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 359 + -233. Let y = 37 + s. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (108\/243 - (-8)\/(-18))\/(-2). Solve 2*r - 9 = 7*u - 6*u, o = -5*r - u + 26 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3 - 6*y**2 - 36*y.\nAnswer: 2*y*(y - 6)*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4053 - -404. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1064 = -16*a + 35*a. Let i = 14 + -16. Let x be a\/(-26) - i\/(-13). Solve x*q - 5 = 7*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9203228\/525 + 17530. Calculate the common denominator of n and -73\/9.\nAnswer: 1575","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1197.19 - -1197. Let h = l + 0.09. Let y = 3.89 - -0.11. What is the biggest value in 0, h, y, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 27 = 4*f - 5, 0 = 5*y + f - 89. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = -377*k + 381*k - 17, 0 = -k - 2 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/4))**(5\/8)*(i\/i**(2\/23))\/i**(-3)*(i*i\/(i*i**1))**5*i\/(i\/(i*i**(-3))*i)*((i\/(i*i**(3\/8)))\/i*i)\/i assuming i is positive.\nAnswer: i**(-225\/736)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f - 1 - 5*f + 3*f)*(-4 + f**2 + 4) + 1 - 4*f**3 - 1.\nAnswer: -5*f**3 - f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one tenth of a tonne?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10708460.\nAnswer: 2, 5, 7, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lccl when four letters picked without replacement from plguuululcglgacllc.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**5\/2 - 2*c**4 + 3*c**3\/2 = 0 for c.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -8627?\nAnswer: -8623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 18455050 to the power of 1\/2, to the nearest integer?\nAnswer: 4296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 h when two letters picked without replacement from ajpjjahjapjajjjjj?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000638338 rounded to seven decimal places?\nAnswer: -0.0000064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 67 and 16.\nAnswer: 1072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -102 - -21?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + 0 + 5 + 3 + -1.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 80122 and 125906.\nAnswer: 881342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = h - 425, -1595 = -0*h - 4*h - 5*k. Calculate the remainder when ((-12)\/15)\/((-3)\/h) is divided by 37.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19.9 + 23.6. Let u = 65863.19983 - 65859.5. Let y = u - z. Round y to 4 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4153 - -4146. What is the biggest value in -211, 2\/3, l?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -253 + 356. Suppose -d + 13 = 3*n, -5*n = -4*d - 0*n + s. Suppose 4*g - d = -10. Put -5, 0, g in decreasing order.\nAnswer: g, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 32 + -19. Let z = 24 - j. What is the highest common factor of z and 66?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 414 - (-9 + 3)\/(-1) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, x: 1, e: 1, w: 1, p: 1}. Give prob of sequence xmpe.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-24)\/15 - -2)*5. Suppose 0 = -o*u + 2. Is u less than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 96.75*4\nAnswer: 387","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 97 - 90. Suppose 2*i + 760 = v*i. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 562 - -1404?\nAnswer: 2266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 2. Let a(y) = y**2 + 71. Let u(b) = -3*b**2 + 123*b - 198. Calculate the remainder when a(l) is divided by u(39).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18721389?\nAnswer: 3, 6240463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 1.297?\nAnswer: 6.485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 9 = k - y, 14 = 4*k + 2*y. Let o be (-1)\/k - (52\/(-8) + 3). Solve o*s = -0 + 3 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of j**4\/24 - 2*j**2. Let g(m) = -3*m. Let y(b) = -8 + 8 + 0 + 13*b. Let p(v) = -18*g(v) - 4*y(v). What is k(p(o))?\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14*(-14)\/(-245))\/(28\/(-10))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 26 = 10. Let p(n) = -n - 4*n - 13 + 4. Is p(x) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from widdvviididiii. Give prob of picking 2 i.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 3116*s + 3103*s - 6217*s. Let x(z) = 4*z**2 - 65*z. Determine x(t(m)).\nAnswer: 16*m**2 - 130*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -r - 6, 0 = 2*u + 2*r + 1216. Let b = 1011 + u. List the prime factors of b.\nAnswer: 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1690650)\/1426215 - (-8)\/7?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19.5498*15.\nAnswer: 293.247","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/((-27)\/(-45))*(-2)\/(-9)*8883\/282?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of n**7\/7 + 7*n**4\/12 + 10*n - 9. Let a(r) be the first derivative of w(r). Find the third derivative of a(g) wrt g.\nAnswer: 360*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1130 (base 4) to base 3.\nAnswer: -10102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*k - 10*k - 460 = 0. Find the second derivative of -38928 - k*t**2 + 38928 - 147*t wrt t.\nAnswer: -230","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of 7*l**3\/6 - l**2\/2 - 25*l - 37. What is i(-11)?\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.09 + -0.13. Let x = -0.16 + w. Suppose d - 4*l - 15 = 0, -5*l + 0 = 3*d + 40. Which is the biggest value? (a) 1 (b) x (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 85 = 0, -3*x + 5*m + 66 = 3*m + 23 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1051221?\nAnswer: 3, 29, 43, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*o**3 - 4*o + 54 - 54 wrt o?\nAnswer: 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 6907, 6891, 6841, 6739, 6567, 6307, 5941, 5451?\n\"Answer: -3*c**3 + c**2 + 2*c + 6907","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 - 30*f + 29. Let s be l(29). Let z = -6.2 + 0.2. Let y = z + 5.7. Which is the nearest to -1? (a) y (b) 0.2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 + -6. Suppose 6 = -d*s, -2*r + 3*s + 1 = -18. Solve 27 = 3*f - r*q, 5*f = -0*f - q + 17 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 913617?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 + 12*x**2. Let k be j(12). Let m be 1*(4 - 2) - k. What is the nearest to -0.1 in 1, m, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1004bb7 (base 13) to base 3\nAnswer: 100002202221121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4*1 - (8 + -6 + -1). Suppose 0 = -d*j - 9 - 6, 2*j = 5*p - 45. Factor 5*f + 11*f**2 - 13*f**2 - p*f.\nAnswer: -2*f*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2 (b) -0.3 (c) 0.2 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.0062 + 0.0062. What is the fourth smallest value in 0.4, -9, -3\/4, u, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (321\/364 - 0\/(-9)) + 34\/221. Which is smaller: 1 or c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*p = -7 + 271. Solve 23*o - 27*o + p = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*g - 24*g**2 + 15*g - 40*g + 6 + 8*g + 4*g in the form i + z*g + r*g**2 and give i.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -212*n**2 + 212*n**2 - n**3 - 1 + 4*n**4 to the form a + i*n**2 + g*n + z*n**3 + d*n**4 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) -5 (c) -54 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4570201 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 2*x = -4, -4*o + 4*x - 4 = -0*o. Suppose 40 = -o*y + 4*y. Suppose 0 = 4*f + f + 5*i - y, -5*f + 3*i + 12 = 0. Solve 0 = 2*n + f + 7 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + -4 + (1 - 1 - -6).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1977322, 1977298, 1977250, 1977166, 1977034, 1976842, 1976578?\nAnswer: 1976230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 456 a factor of 822168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6430454 and 14756?\nAnswer: 1054","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2, -1, -5, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 2*r = -13. Let j = 13 + r. Suppose j*o + 18 = o. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dfksfyfyf. What is prob of picking 1 k, 1 s, and 1 y?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 + 9*u**2 + 10*u + 4. Let g be s(10). Suppose -6 = -g*h + 6. Suppose -4*w = 4*w - 6*w. Solve c = j, w*c - c + 4*j = h for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 8. Let g = 0 + n. Let c = -46 + 49. What is the least common multiple of c and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*3\/(24\/(-8)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = -3*r - 2, -r - 3*d + 14 = 3*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2*l**2 + 9*l - 6. Suppose 0 = 6*z + 187 - 103. Let u(h) = 5*h**2 - 19*h + 14. Let n(b) = z*c(b) - 6*u(b). Factor n(x).\nAnswer: -2*x*(x + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 70901*j - 70904*j + 1 - 1. Let w(q) = 2*q**2 + 2 + 2*q**2 + 0. Let u(x) = -21*x**2 - 11. Let y(r) = 2*u(r) + 11*w(r). Determine o(y(z)).\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((253\/11)\/(-1380))\/(40\/100)?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/17, 50\/17, 2 in increasing order.\nAnswer: -2\/17, 2, 50\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 3*l**2 - 64*l + 12. Let y(d) = -d**2 + 55*d - 13. Let x(b) = 3*s(b) + 4*y(b). Calculate x(-7).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {e: 2, t: 8, k: 4}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 277320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 + 23. What is the remainder when k(0) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 519256 and 778884.\nAnswer: 1557768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 PM and 5:01 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5568403 to the nearest integer?\nAnswer: 2360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -76.4 (b) -36 (c) -4 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 24264697 = 24264697?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -9*p**2 - 190*p - 4. Let m(s) = 19*s**2 + 373*s + 9. Determine 13*g(o) + 6*m(o).\nAnswer: -3*o**2 - 232*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*f - 1879 = 995 + 51 for f.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*n = -2*n - 134 + 209. Let w be 4\/(-6) + 1 - -1. Solve -w*z**2 - 8\/9*z - 2\/9*z**4 - 8\/9*z**n - 2\/9 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 + -426490369286.\nAnswer: -426490369286.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 143\/6 and 23\/130?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*-1 - 0\/(-4). Let t = -2 - x. Let r be ((-2)\/(-3))\/((-8)\/9). Which is the nearest to -1? (a) r (b) -0.1 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 363.4 - 363. Which is the biggest value? (a) p (b) -5 (c) 16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3177 divided by -3?\nAnswer: -1059","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 + 11*j**2 + 15*j + 5. Let p(k) = -2*k**2 - 3*k - 1. Let u be (-1 - 0)*(-77)\/(-6 + -1). Calculate u*p(c) - 2*x(c).\nAnswer: -2*c**3 + 3*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/32 and 45\/32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1080 divided by 51758.\nAnswer: 540\/25879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from {p: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j**2 - 3*j + 5. Let m be p(2). Does 4 divide 2 + -1 - (m + -12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.226 - -682.774. Let y = -682.9711 + q. What is y rounded to two decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 55604?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-3) + ((-7)\/385 - 6\/33)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 54*n**3 + 2*n**2 - 1 + n**4 - 6*n**2 + 630607*n - 630604*n to the form p*n + i*n**4 + f + g*n**3 + u*n**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 22997839 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 5*w. Let u(j) be the second derivative of -j**3\/6 - 16*j. What is l(u(m))?\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1\/9)\/a)\/(a*a**(2\/45)))**(-25) assuming a is positive.\nAnswer: a**(485\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 33*r - 7. Let s be (12\/(-9))\/(2\/(-3)). Is z(s) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b**4\/3 + 26*b**3 + 38*b**2\/3 = 0.\nAnswer: -19, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 PM and 4:59 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 325*k**2 + 22*k - 142. Is w(7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*p - 34*p**2 - 41*p**2 - p to l + k*p**2 + r*p and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 11*u - 122. Let o be k(11). Let h(g) = -2411*g**3 + 2*g**2 + 6*g + 4. Is h(o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of 56*y**4\/3 + 7*y**3\/6 + 12*y**2 - 5*y + 17. Let n(a) be the first derivative of z(a). Is n(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25 + 21.6. Let r = -0.4 - v. What is the third biggest value in -5, r, -2\/11?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -0.2 (c) 0 (d) 20139\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -535 * -0.2.\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8153 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 108, 142, 190, 246, 304, 358, 402, 430?\nAnswer: 436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*c, -4*j - 4*c = 4 - 28. What is the nearest to j in -3, 0.04, 2?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 5:27 AM?\nAnswer: 3:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 5*d - 127363, 18*i = 19*i - 3*d - 31832. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11.4 less than 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*s**3 - 179*s + 29*s**3 - 49*s**3 - 179*s + 358*s.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 5:25 AM?\nAnswer: 7:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1\/4 (b) -6 (c) -3 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bnnbnnmc. Give prob of sequence cnbb.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 22323 + -1?\nAnswer: 22322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -50\/109 + 44409\/1526. Let n = j + -30. What is the common denominator of n and -62\/3?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 + -34. Let p = g + 19. What is the third derivative of -a**p - 13*a + 9*a**3 + 22*a - 9*a wrt a?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77223 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*x = 601502 - 601752 for x.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*s**3 + s + 5*s**3 - 4*s**3 wrt s?\nAnswer: 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of k - 7\/36*k**4 + 5\/9*k**3 + 0*k**2 + 2 + 1\/60*k**5. Factor v(q).\nAnswer: q*(q - 5)*(q - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 155 + -156.74. Let h = 2683.853 - 2682. Let v = h + k. Round v to 2 dps.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of -r**8\/84 - 26*r**7\/315 - 7*r**6\/90 + 17*r**5\/45 + r**4\/3 - 4*r**2 - 308*r. Find c, given that n(c) = 0.\nAnswer: -3, -2, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89970859 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c + 2. Let q(b) = 102*b - 13. Determine 5*j(n) + q(n).\nAnswer: 112*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 5*v**2 - 6*v + 5. Suppose 6*t - 20 = 2*t. Let o be b(t). Suppose 320 = 5*g - o. List the prime factors of g.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/4960 and 35\/25296.\nAnswer: 252960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 135*c**2 - 307*c**2 + 153*c**2.\nAnswer: -19*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 1 + 2)*((1 - 3 + 4)*(-j + 5*j - 5*j)*(-5*j + j + 2*j) + 4*j**2 + j**2 + 22*j**2) to the form d + i*j**2 + n*j and give i.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**3\/3 - 3122*d**2\/3 + 3136*d\/3 + 6248 = 0. What is d?\nAnswer: -1562, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 3. Let k(p) = p**2 - 3*p + 4. Let v be k(2). Put u, 0, v in increasing order.\nAnswer: 0, u, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 24774 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -226, -592, -1210, -2086, -3226, -4636, -6322?\n\"Answer: -l**3 - 120*l**2 + l - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 3*y = 7, -3*x + 6 - 17 = y. Let t be -427 + (3 - x\/(-2)). Let c = t + 716. What is c rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -5*s - 0*l + 31, -5*s + 41 = 3*l. Suppose -5*t + 15 + 0 = 0. Solve t = f + s for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -5*i + 84. Calculate x(22).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1777, 3467, 5197, 6973, 8801, 10687?\nAnswer: 12637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 - 202*y**2 - 197*y + 798. Determine u(-201).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34252997?\nAnswer: 1049, 32653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4\/11, -5293, 5\/29?\nAnswer: -5293","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/14 + 12\/(-7). Let g = 4 + a. Solve v = 6 - g for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -401*b + 506. Determine f(-3).\nAnswer: 1709","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of -g**5\/60 - 5*g**4\/24 - 2*g**2. Let t be r(-4). Let o be (-3)\/2 + (-2)\/t. Is o at least -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 8 - (-1 - 8).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9461 and 18922?\nAnswer: 18922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 7738*j**3 - 2*j**2 - 8*j + 8. List the prime factors of i(1).\nAnswer: 2, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 5)*(-b**4 + b**4 + b**4) - 108*b**2 - 207*b**4 - 173*b**2 + 205*b**4.\nAnswer: -b**4 - 281*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -630891234 divided by -23366342?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-15)\/2*12\/(-10). Let c be (j\/(-6))\/((-3)\/(-8)). Let s be c\/(-10) - (-76)\/10. Calculate the highest common factor of 56 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of 0*n**3 + 1\/6*n**4 + 0 + 0*n**2 - 10*n. Let g(o) = 4*o**2. Calculate g(x(w)).\nAnswer: 16*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 375*r**4 - 4435*r**3 + 190*r - 109 wrt r?\nAnswer: 4500*r**2 - 26610*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, c: 2, w: 1, g: 3, x: 1}. What is prob of sequence xc?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 12873154, 25746302, 38619446, 51492586, 64365722, 77238854, 90111982?\n\"Answer: -2*f**2 + 12873154*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 304198?\nAnswer: 2, 17, 23, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 192583?\nAnswer: 192583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -11.045 and -0.5.\nAnswer: 5.5225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + (sqrt(252) - (-2 + sqrt(252) + sqrt(252))*-3 - sqrt(252)) + (0 + sqrt(252))*3 + -1 + 1)*-1)**2.\nAnswer: -108*sqrt(7) + 20413","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/353 or -253?\nAnswer: 1\/353","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11934?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3\/21 + 39164*t**2\/21 + 156824*t\/3 + 1098160\/3.\nAnswer: -2*(t - 19610)*(t + 14)**2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -442 - -443. Let g(f) = -f**2 - 2. Let s(r) = r**2 - r. Give w*g(p) - s(p).\nAnswer: -2*p**2 + p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of d**2*n**3 - 23*d**2 + 30*d*n**2*q - 538*n**3*q + n**2*q wrt n.\nAnswer: 6*d**2 - 3228*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 2*y - 5*h - 37, 4*y = -h - 72. Let a = 4 - y. Let w = 47 - a. Is w a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.035 + 19.035. Let s = f + -23. What is the nearest to -0.1 in -3, -0.4, s?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 - 33 = 14*o + 67 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 181306*d**3*k - 568*d**3 + 3*d + 15 wrt k?\nAnswer: 181306*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -69801 to the nearest 1000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23951 + 28149. What is the highest common factor of t and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -127 - -96 - (-13 + 6)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8581 divided by 5.\nAnswer: -8581\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23 - 14. Suppose 5*a - 80 = c - 6*c, -2*c + 4 = 0. What is the remainder when a is divided by v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 - 555.04.\nAnswer: -554.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*c**3 - 44*c**3 - 2*c**3 + 6 - 4*c**3 - 6.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9252 - 45*u**4 - 9252 + 2*u + 2*u**2 - u**3 to the form n*u**2 + r + i*u**4 + w*u**3 + q*u and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -3*m + 1 - 15, 4*m - 4*w + 52 = 0. Let x(q) = q**3 + 9*q**2 + 7*q - 3. Let o be x(m). Suppose 2*r - 31 + o = 0. List the prime factors of r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 362 a factor of 130534033?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -111321310 (base 5) in base 6?\nAnswer: -14340341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -5*f - 5, 5*f = -4*v + 11 + 14. Let m be (-126)\/(-28) - f\/(-2). Suppose -m = -s - 2. Which is smaller: s or 8\/5?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 305051 (base 9) to base 16\nAnswer: 2c266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.9010157kg?\nAnswer: 901015700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 23*d**2 - 8470*d + 206576. Give h(342).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -268*n + 180*n = 968 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 23509, -6 in descending order.\nAnswer: 23509, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -859*f**3 - 2*f**2 + 2. Let c(l) = -9449*l**3 - 23*l**2 + 23. Calculate -2*c(u) + 23*x(u).\nAnswer: -859*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 - 72*y**2 + 68*y - 359. What is b(-73)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3587856 is divided by 119593?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 10600 = -884. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/101 and 127\/1750?\nAnswer: 176750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 459, 505, 561, 633, 727, 849?\nAnswer: 1005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/(-2 - -4) - 45\/(-7). Which is smaller: s or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30674724 (base 9) to base 3.\nAnswer: -1000202111210211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14089931.\nAnswer: 14089931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7867 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 218*m**2 - 2*m + 2*m.\nAnswer: 218*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -36099 rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1 and 2\/(-7) + 153\/21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**2 - 63*r - 300.\nAnswer: 3*(r - 25)*(r + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13128 and 61476783.\nAnswer: 1641","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 301135 and 83774919?\nAnswer: 83473784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -205*n**3 + 0*n**2 - 686 + 120*n**3 + 811*n**3 + 0*n**2 wrt n.\nAnswer: 2178*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (10 + -11)\/(105\/1099). Let n = l + 32\/3. Which is the nearest to 2? (a) n (b) 1\/6 (c) 0.5 (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/4*o**5 - 35\/4*o**3 - 3*o**4 + 3*o**2 + 9*o + 0 = 0. What is o?\nAnswer: -6, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zp when two letters picked without replacement from jyzpp?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 667677 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 132 and 139452.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -8*v**2 - 89*v + 8. What is k(-11)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.4 (b) -5 (c) 13\/9 (d) -1 (e) 3\/4 (f) -5.09 (g) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7 and 8871.\nAnswer: 62097","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*m - 14*m. Which is bigger: m or -3\/14?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 646444 by -364.\nAnswer: -161611\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -100 + 63 + 82 + 3*g + (0 + 2 - 1)*(1 - 2*g - 1).\nAnswer: g + 45","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 32*q - 20*q - 11*q + 36*q**2. Let n(d) = 2*d. Determine n(s(r)).\nAnswer: 72*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 88489720 to the nearest integer?\nAnswer: 446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(528) - (sqrt(528)*1 - sqrt(528)) - sqrt(528) - sqrt(528)) + sqrt(528))\/sqrt(12))\/((-2*sqrt(36))\/sqrt(9) + sqrt(4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((((sqrt(99) + sqrt(99) + 5*sqrt(99)*-1 + sqrt(99) + sqrt(99) + sqrt(99) + sqrt(99) + sqrt(99))*2)\/(sqrt(72)\/((sqrt(72)*-2)\/sqrt(9))))**2 + 0).\nAnswer: 3520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -3*a**2 + 88*a + 454. Determine z(-6).\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/o**(-1\/4)))**(2\/119) assuming o is positive.\nAnswer: o**(-1\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 11:02 AM?\nAnswer: 2:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -6\/31 (c) 5 (d) 2 (e) 9\/2 (f) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 203705*s**3 + 8*s**2 + s + 1. Let l be v(-6). Let x be 3\/(-2) - l\/(-2). What is x rounded to the nearest 1000000?\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 110976?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 1022 divide 7428907?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -59, -47, -35, -23, -11, 1?\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 4 = -3*c, -42*m - 2*c = -41*m - 1. Factor -1\/2*d - 1\/2*d**2 + m.\nAnswer: -(d - 1)*(d + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1404 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -128, -283, -466, -683, -940, -1243, -1598?\nAnswer: -2011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2. Let r(k) = k**2. Let i(p) = p**2 + 13*p - 4. Let x be i(-13). Determine x*q(u) - 5*r(u).\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j**2 + 6*j + 3. Let f be o(-5). Solve 3 = 4*i + f for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -349, -1, -4 in descending order.\nAnswer: -1, -4, -13, -349","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -5*i - 23, -f - 4 + 3 = i. Let k be (-8 + (3 - 3))\/(-2). Solve -b = -f*b + k for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -359*x + 343*x = -32. Let u(g) be the second derivative of 0 + 2*g + 0*g**3 + g**4 + 9\/2*g**x. Find the first derivative of u(s) wrt s.\nAnswer: 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-26)\/6 + -1)\/((-4)\/(-414)). Let q be k\/(-15) - (-28)\/(-35). Suppose 4*d = -2*d - q. Do -7 and d have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5143922 is divided by 29.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 5*z - 6. Give g(5).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1131359 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x = -8*x - 107269. Suppose -6*v + v = -371345. Let p = x - v. Round p to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -329*x - 280 = -301*x for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y**3 + 270*y - 270*y.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 313 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 71, 165, 271, 395, 543, 721?\n\"Answer: n**3 + 87*n - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 24 = -0*j. Suppose -5*u + 2*i + 155 = 0, -2*u = -j*i + i - 62. Which is bigger: u or 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 6*y + 14. Let l be g(-6). Let j be 22 + l + -33 + -1. Let v = 38 + j. Solve i = 2*i + v for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**4\/(d*d*d**(5\/2)\/d)*(d\/d**(-6))\/d**(-1\/5) assuming d is positive.\nAnswer: d**(77\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*c**3 + 3*c**3 + c**3.\nAnswer: -21*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -10*b**2 + 2*b - 2. Let l = -38 + 37. Let c(z) = z + 1. Let i(o) = 11*o**2 - 4*o. Let k(y) = l*i(y) - 2*c(y). What is -3*k(h) + 4*m(h)?\nAnswer: -7*h**2 + 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -x + 2 + 11, h - x + 0 = -4 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 + 5 + a**2)*(4*a**2 - 5*a**2 + 6*a**2) - 2 - 4*a**4 + 2)*(4*a - a - 7*a).\nAnswer: -4*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a milligram in micrograms?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 - 2*b - 54. Let x = -44 + 53. Let l be c(x). Solve 4*z + 2*t = 10, -4*z + l = -z + 2*t for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7808161, 7808168, 7808175, 7808182, 7808189?\nAnswer: 7808196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -630? (a) -0.5 (b) 1\/5 (c) -4 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.4 - 1. Let i = 30.5648 - 33.5648. Sort 3, c, i, -23 in increasing order.\nAnswer: -23, i, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 2*r = 8. Calculate the highest common divisor of 40 and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 935*x**2 - 11. Let v(g) = 311*g**2 - 4. Calculate 4*k(r) - 11*v(r).\nAnswer: 319*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58774.\nAnswer: 2, 29387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 5203*z + 31519. Determine s(-6).\nAnswer: 301","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22.61 + -22.81. Is m smaller than 617?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.42, 3192, 5?\nAnswer: -0.42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 383*i - 7. Let y be c(-3). Let s be -1372*(1 - (-2)\/(-4)). Let l = y - s. What is l rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61990 is divided by 223.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -201.144 - -0.144. Let p = r - -201.036. Sort 0.3, 1\/4, p, -5\/3 in increasing order.\nAnswer: -5\/3, p, 1\/4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 42*x**2 + 176*x + 519. Give f(-3).\nAnswer: 369","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 444291*v + 64390. Let x(g) = 14*g + 2. Calculate n(f) - 32195*x(f).\nAnswer: -6439*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*n**3 - n**3 + 2*n**3 + 5*n**3 + n**3.\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3*(-4)\/(-12) - 1. Let w = 8 - q. What is the remainder when 21 is divided by 3\/(4 - 1)*w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -9863?\nAnswer: 1\/9863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 4*r = 17 + 19, -i - 5*r - 25 = 0. Let k = 7 + i. Factor -2\/9*m**3 + 0 + 2\/9*m**k + 0*m.\nAnswer: -2*m**2*(m - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 - 11*n**2 - 11*n. Let d be u(-11). Suppose -4*v = -3*q + 604, q = 2*v + 307 - 107. Let l = q - d. Round l to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 382*j**2 + 2298*j + 36 = 0.\nAnswer: -6, -3\/191","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(2\/7))**49)**10*(j**2)**(1\/42)*(((j\/(j*(((j\/((j\/(j*j**3\/j))\/j)*j)\/j*j)\/j)\/j))\/j)\/j*j)\/(j*j\/(j*j\/(j\/(j\/j**5))*j)) assuming j is positive.\nAnswer: j**(2773\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/36 and -73\/828.\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**5 + 2*l**5 + l**5 + 4*l**5 + l**5 - 4*l**5 + (4*l**3 - 6*l**3 + 0*l**3)*(l**2 + 3*l**2 - 2*l**2) - 2*l - 3*l**5 + 2*l**3 + 2*l - 2*l**4.\nAnswer: -4*l**5 - 2*l**4 + 2*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -98*x. Let n(o) = 91483*o**2. What is n(r(l))?\nAnswer: 878602732*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -92*z**3 + z**2 + 14*z + 3 wrt z?\nAnswer: -552*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 422731066.\nAnswer: 2, 31, 47, 145069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151 is divided by 34.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -14*b**2 + b. Let k = -28 - -6. Let d = k - -21. What is x(d)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20767\/6 - 3459. Let c = -207\/7 - -347\/14. Find the common denominator of i and c.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*j + 30. Find the third derivative of 2 - 9*y**2 - 3*y**2 + 12*y**j - 2 wrt y.\nAnswer: 720*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -11*n**2 + 6 - 6*n**2 + 14*n**2 - 4*n + n**3. Let j be h(4). Let t be 0\/(0 - (j + -4)). Solve -m - m + 2 = t for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 3 + 3)*(-2*m**4 - 3*m**4 + 4*m**4).\nAnswer: 7*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -39824 + 39819. Which is the third smallest value? (a) z (b) -320 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23833 (base 9) in base 11?\nAnswer: 11014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.676851 centimeters in nanometers?\nAnswer: 56768510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -9*p**2 + 116*p. Let o(g) = 4*g**2 - 116*g. Determine 4*o(m) + 5*v(m).\nAnswer: -29*m**2 + 116*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 5 (b) 0.3 (c) -3\/23 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-22)\/6*(3 - (-36)\/(-6)). Suppose -5*w + 5 = 5*a, a + 3*w + q = -w. Calculate the lowest common multiple of a and (-2)\/(-8) + 70\/8.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 117 - 37. Calculate the greatest common divisor of 5 and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76745590.\nAnswer: 2, 5, 53, 89, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21030?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -6*t**3 - 15*t**2 - 21*t - 21. Let l(g) = -g**3. Let m(s) = h(s) - 5*l(s). What are the prime factors of m(-14)?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 758238643 a multiple of 357?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 3 - 27 = 0. Let m = w + 11. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-6) + (-50)\/(-6). Let k = o - -14. What are the prime factors of k?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 773685 is divided by 42982.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -4*b + 7. Suppose y - 5*y = -r - 389, 0 = 2*y - r - 193. Suppose 17*w + 13 = y. Determine g(w).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 9:52 PM?\nAnswer: 6:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2)*w)**(-1\/52))**(1\/40) assuming w is positive.\nAnswer: w**(1\/2080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.028170049 rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5427?\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 232030 (base 5) in base 9?\nAnswer: 12452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 302 - -703306?\nAnswer: 703610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.02 or -1559?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19961 - 19960. Put n, -0.68, 0.052 in decreasing order.\nAnswer: n, 0.052, -0.68","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*r**2 - 12924*r - 423225 = 0. What is r?\nAnswer: -4275, -33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q**4 - 485684*q**3 - 1942662*q**2 + 10199196*q = 0 for q.\nAnswer: -242838, -7, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -5972 <= -1611?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 13839 and -2080?\nAnswer: -28785120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, w: 2, e: 3, n: 1, c: 4}. Give prob of sequence cem.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2. Let d(m) = 72*m**2. Determine d(k(w)).\nAnswer: 72*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 9 = 6*x. Suppose -3*y - 129 = -x*p, 0*y = y + 2*p + 52. Let z = -38 - y. Round z to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*u**4 - 95219*u**3 + 58647*u**2 wrt u?\nAnswer: -48*u - 571314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 - 1)*(r**4 + 2*r**4 - 2*r**4) + 3 - 3 + 3*r**4)*(-4 - 1 + 3).\nAnswer: -4*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 20\/(1\/((-8)\/16))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 272905219?\nAnswer: 43, 6346633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 13*h - 158. What is v(11)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 2:39 AM?\nAnswer: 8:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, k: 1, f: 1, v: 1, d: 1}. Give prob of sequence dn.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (46 - 47 - (-5 - 1)) + -6\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003307659 rounded to 6 decimal places?\nAnswer: 0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55347 is divided by 1305?\nAnswer: 537","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 3893?\nAnswer: -1\/3893","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/8 of a millennium in years?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qfhthfh. Give prob of picking 1 h and 1 f.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 4*s - 13, 4*s = f + f - 2. Let b be (-22)\/(-5) + 2\/(-5). Solve 0 = 3*m - b*m + f*v + 21, -2*v - 10 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((2*sqrt(108)*-2 - (sqrt(108) + (sqrt(108) - (sqrt(108) + -1 + sqrt(108) + 0 - sqrt(108))))) + 1).\nAnswer: -150*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + -6\/7. Let b = 1.4 + -2.4. What is the nearest to b in -0.5, -0.2, u?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 584 divided by -563208.\nAnswer: -73\/70401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 638, 2535, 5706, 10157, 15894, 22923, 31250?\nAnswer: 40881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -681 - -2681. Calculate the remainder when f is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2042342 (base 5) in base 9?\nAnswer: -51685","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.8 - 6.8. What is the smallest value in -0.3, 2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 79 = -27. Let h = -6 - w. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + 0. Suppose -5*u = -6*u - v. Let j(x) = 2*x + 2. Give j(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35.135 rounded to 1 decimal place?\nAnswer: 35.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30 - 39*z**3 - 14*z**3 - 61 + 25 to the form w + d*z**3 + j*z + o*z**2 and give w.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2*-876720\nAnswer: 1753440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 3494.\nAnswer: 13976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 + 7*r - 6. Let o be w(4). Let k = 2 - o. Let j be (1\/k*0)\/1. Which is the nearest to j? (a) 4 (b) 1 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -377876*c + 2*c**3 + 755690*c - 377814*c.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13808046\/2550 + (-4)\/(-50)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c + 33 - 72 - c + 28 to p*c + v and give v.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 2*v - 3, 5*f = -2*v + 4*v + 21. Let y(x) = x + 30. What is the remainder when 95 is divided by y(f)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -153 + 615\/4. Let k = 0.25 - 10.25. Let r = k - -10. Sort 0.2, r, f in decreasing order.\nAnswer: f, 0.2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(4 + 2*sqrt(1053) - (sqrt(1053) + 0 + -4))**2.\nAnswer: -6702 - 864*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of d**7\/42 + d**6\/6 + d**5\/5 - 1163*d. Factor v(g).\nAnswer: g**3*(g + 1)*(g + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of 365*i**8\/336 + 167*i**5\/20 + 1152*i**2. Find the third derivative of c(l) wrt l.\nAnswer: 21900*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2541798?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 26, 55, 84, 113, 142, 171?\n\"Answer: 29*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -4*z + 79. Let m be u(20). Which is the closest to 1? (a) -5 (b) 1\/5 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1451 - -2995\/2. Calculate the common denominator of 1 + (-3 - (-32)\/12 - 1) and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - sqrt(1274)\/sqrt(2) - (-3 + sqrt(78)\/sqrt(6)))**2 - ((0 + sqrt(325))*-4 + 2).\nAnswer: -22*sqrt(13) + 644","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -632, -635, -634, -623, -596, -547?\nAnswer: -470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 23, -4.36, -1\/2?\nAnswer: -4.36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -29.678+-941.292\nAnswer: -970.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (-1 - -1 - 50) + 78 + (-126 - -52)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.16 (b) -176 (c) -7 (d) 13 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 + 15. Let u(g) = g + 2. Calculate the remainder when 12 is divided by u(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3020434 (base 5) to base 4.\nAnswer: -23301310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 48*z = 44*z - 23, -a + 3 = z for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - 2. Let n be ((-6)\/(-4))\/1*a. Suppose g + d - 9 = 0, 1 = -3*g - d + 5*d. Put g, n, 0 in descending order.\nAnswer: g, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.00828*-0.1063\nAnswer: -0.000880164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 9 = 3*a - 3*l, 4*a - 12 = -5*l. Suppose -8*u = -4*u - 5*q - 595, -a*u - q + 432 = 0. Is 23 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 110981, 222032, 333083, 444134, 555185?\n\"Answer: 111051*u - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -3363\/5 (c) -470\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + x = -4 - 14, -h + 11 = -2*x. Suppose z + l - 1 = 2, 6 = h*z - 4*l. Suppose -57 = -k - 18*k. Solve 1 = -z*q + k*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -225 + 135. Let x = 297 + s. List the prime factors of x.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1\/6)\/t*t\/(t*t**(-2\/25))*(t\/t**(2\/3))**(-31))**(-1\/77))**48 assuming t is positive.\nAnswer: t**(13704\/1925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 5 + 20. Suppose -4*j - f = j. Let r(t) = -2*t**2 - 5*t - 4. Let v be r(j). Is v greater than or equal to -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, m: 2, a: 4}. Give prob of sequence xaax.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -7*j. Let h(f) = 1333874*f**2. What is h(s(q))?\nAnswer: 65359826*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 84 + 353. Is d a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of 5 + 1\/2*k**2 - 2*k - 2\/3*k**3. What is p(2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -54*v + 2993*v + 1574*v + 524*v + 2261 - 2263 as h*v + p and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 777786943 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 2*q = -13, 2*q = -2*m + q + 11. Let l = -22 + 31. Let b = l - m. What is the highest common divisor of b and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 - 1\/1*3. Let q = c - 0. Let r = -39.2 + 39. Which is greater: r or q?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (6 + -10 - (11 + -2))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*g = -62*g + 60912. Calculate the lowest common multiple of 12 and g.\nAnswer: 1692","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)\/sqrt(4)*5 - (sqrt(204) + sqrt(204)*1 + sqrt(204) - sqrt(204))\/sqrt(12)) + -4 + 6*((-3 + sqrt(272))*-4)**2 + -4.\nAnswer: -2301*sqrt(17) + 26968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2*t + 1. Let b(y) = 4*y - 299. Calculate -b(i) - s(i).\nAnswer: -2*i + 298","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26 + 31. Let p(u) = 17*u + 8. Let m be p(o). Calculate the highest common factor of 31 and m.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-13)*w**(-2\/25))\/((w**(-2\/11)\/w)\/(w*w**13)) assuming w is positive.\nAnswer: w**(8003\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, -1, 2 in descending order.\nAnswer: 2, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -297*a**3 + 5*a**2 + 4. Let j be k(-2). Suppose -6*o - 714 = -j. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of 0 + 0*g**5 + 0*g**2 - 5\/4*g**4 - 5\/3*g**3 + 1\/6*g**6 + 13*g. Factor j(i).\nAnswer: 5*i*(i - 2)*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33537119669 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 10*n - 5*n + t, -n + 2*t = 9. Let v(j) = -9*j**3 + j**2 - 3*j. Let u(p) = 18*p**3 - 3*p**2 + 7*p. What is n*u(z) - 7*v(z)?\nAnswer: 9*z**3 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1923, -0.2, -106, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45101?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14579 and 61.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((20\/234)\/(95\/57))\/(4\/18).\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25142 - -25158. Solve 0 = 5*u - 3*i - d, -67*i = -66*i + 2 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-2)*18*(-36)\/108?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8 - 636\/78 - 808\/(-5590). Which is the nearest to -2? (a) 4 (b) 1 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -34 + 58. Suppose -5*f + 3*q + 30 = -q, -v = -4*f + 3*q. Solve m + m = f for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-3) + 8\/6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00079592 to four dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 87 and 249?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2585 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18988434.\nAnswer: 2, 3, 107, 9859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*b*c**3 + 901*b*c**2 + 25*b*c + 124*c wrt c.\nAnswer: 48*b*c + 1802*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 10 = -43. What is the closest to p in 3, -2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of -w**8\/560 - w**6\/60 - w**3\/2 + 2*w**2. Let y(z) be the first derivative of r(z). What is the third derivative of y(s) wrt s?\nAnswer: -72*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(1\/5)*i)**(6\/19)*i**(-1\/3)\/(i*i**(3\/16)))**(-1\/29) assuming i is positive.\nAnswer: i**(5207\/132240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -139 (base 10) to base 12\nAnswer: -b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 30 = -4*r, w + r + 13 = -2*r. What is the remainder when 44*(w + (-3)\/2) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1, -4\/3, 1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 184 + -149. Suppose 0 = -7*k + 133 - v. What is the smallest common multiple of 186 and k?\nAnswer: 1302","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of -2*a**5\/25 - a**4\/15 - 75. Let h(t) = 0. What is t?\nAnswer: -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -3*s + 9. Let w be z(3). Sort w, 2, 15 in ascending order.\nAnswer: w, 2, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20 + 64 + 35 + 8*n + 59*n + 34*n + (4 + 1 - 3)*(-n - 3*n + 2*n) to l + p*n and give l.\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 - 5*x + 11. Suppose 0 = -3*o - 2*a - 34, 2*o + a - 2 = -23. Give u(o).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 17*r**3 + r**2 - 2*r + 1. Let l be m(2). Let y be (-8)\/20 - l\/(-5). Let o be 4\/14 + (-122)\/(-14). What is the greatest common divisor of y and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26199 - -26203. Let a(b) = 2*b**2 + b. Let g be a(1). Solve -5*o + 45 = v*s, 0 = -4*o - 3*s + g + 32 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2*d**2 + 26*d + 4. Suppose 0 = 3*m + 9 + 33. Let n be i(m). Find the second derivative of -60*y + 24*y + 2*y**2 - n*y**2 wrt y.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1128)\/(-846))\/((-1)\/(66\/(-8))).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express z - 4*z + z + (3 - 2 - 2)*(26 + 22*z - 26) - 4*z + 2*z + 4*z in the form h + l*z and give l.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40 is divided by 17.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/461590600 and -73\/14.\nAnswer: 3231134200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7359161 a multiple of 431?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 161 + 99 + -179 - 155.\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 704*u**2 - u - 2*u**3 - 704*u**2 - 16*u**5 + (-u**5 - 3*u**5 + 2*u**5)*(1 - 1 + 2).\nAnswer: -20*u**5 - 2*u**3 - u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 71*z - 773. What is u(10)?\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 2*s**2\/11 + 11804*s\/11 + 11802\/11 = 0?\nAnswer: -5901, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 0 - (-2362 - -2365).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 11 + 4)*(198 + 1401 - 336)*(0 + 0 - i**3) to the form v + g*i**2 + p*i + j*i**3 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(1088) - 1*sqrt(1088)) + 4) + 2)**2 + 1 + 5.\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yqnqnunqnqwunxn. What is prob of sequence qnnn?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 646, 644, 642?\n\"Answer: -2*k + 648","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -7. Let h = t - 2. Which is smaller: h or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -18467, -18600, -18821, -19130, -19527, -20012, -20585?\n\"Answer: -44*i**2 - i - 18422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -18*z + 39. Let b be n(2). Suppose -2*w + 3*f - 5 + 2 = 0, b*w = 5*f - 3. Is w at least -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13\/7 - 19\/14. What is the closest to h in -1, -3, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 13193, 13192, 13191, 13190, 13189?\n\"Answer: -z + 13194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a\/(a\/(a**2\/a*a))))**(-1\/48) assuming a is positive.\nAnswer: a**(1\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7994 to the power of 1\/2, to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -4*w - 3. Let m(h) = h**3 - 3*h**2 - 8*h - 7. Let f be m(5). Let z(a) = -4 - 2 - 5*a + 2. Calculate f*z(p) - 4*b(p).\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 116807 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-14 + 12)\/(3\/9)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2560*k**2 + 46 - 46. Let a be v(5). Round a to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*p**2 - 12060*p + 134 with respect to p.\nAnswer: -4*p - 12060","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 112*j**2\/3 - 116*j\/3 + 4\/3 = 0. Calculate j.\nAnswer: 1\/28, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/90*-9*-2*(-196)\/(-1421)\nAnswer: -4\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -61*t - 35*t + 47*t as l + m*t and give m.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 - 9*c**2 - 13*c + 18. Calculate the remainder when 19 is divided by x(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 389662373.\nAnswer: 59, 2399, 2753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 353 is divided by 74?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 141 and 16.\nAnswer: 2256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 468892353 to the power of 1\/6, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-3)\/(-18))\/(3\/(-4)). Let j = -27 + -35. Let k = j - -64. Is a >= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 - 0 - (23 + -24). Suppose 90 = j*c - 30. Let v = c - 45. Which is greater: -3 or v?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of 0*b**4 + 0*b**5 - 7 + 0*b**2 + 0*b**6 - 2\/7*b**7 - 8\/3*b**3 + 0*b. What is the third derivative of n(f) wrt f?\nAnswer: -240*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 a factor of 1024687?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from qqqqqqjqjqjqeqe?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21*((-37)\/(-8325)*125)\/(5\/21).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 118? (a) 4\/3 (b) -9\/8 (c) 1\/6 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 231 is divided by 69.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -70904, -141767, -212630, -283493?\nAnswer: -354356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 3*l**2 - 6. Let v be s(3). Let z(w) = 2 - 20*w**2 - 5*w - 2*w + v*w**2 + 2. Determine z(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1571988900?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 557, 0.4, 4809, -4, -3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of -7*f**6\/120 - 5*f**3\/3 - 5*f**2. What is the first derivative of i(g) wrt g?\nAnswer: -21*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 492987 a multiple of 236?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 140 and 33148976.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 + 18. Let l be b(0). Suppose -5*d + 13 + 12 = 0. Suppose -d*y + 10 = -35. Calculate the greatest common divisor of l and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 607*f = 612*f. Let w(u) be the second derivative of 1\/40*u**5 + 1\/96*u**4 - 11*u + 0*u**2 + f*u**3 + 0. Factor w(o).\nAnswer: o**2*(4*o + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 806.0809nm in micrometers?\nAnswer: 0.8060809","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -488\/1195 + 2\/239. Let l be (-2)\/8 - (-13)\/(-52). Let q be 120\/72*23\/35 + (-2)\/3. What is the nearest to q in x, -4\/3, l?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((2*sqrt(114)*1 - sqrt(114)) + sqrt(114) + sqrt(114)))\/(sqrt(12)\/sqrt(2)*-2 + -6*(sqrt(6) + -1*sqrt(6))).\nAnswer: -6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*(-469)\/14)\/(-1) - (-76 + 64).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (9\/2)\/(3\/(-4)). Let q be 6\/((-4)\/(16\/o)). What are the prime factors of q\/(-22) - 466\/(-22)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -57?\nAnswer: -4\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-44175)\/(-1995) + (-24)\/21.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110111 + -10?\nAnswer: 1110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-33)\/(-22))\/((-54)\/(-24) - 0). Find q, given that 4\/3*q**2 + 0 + o*q - 7\/2*q**3 = 0.\nAnswer: -2\/7, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 15, -0.4, -1\/6, -2\/9, -512 in increasing order.\nAnswer: -512, -0.4, -2\/9, -1\/6, 2, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-926)\/(-1389))\/((-1)\/15).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a microgram in nanograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31940, 63874, 95792, 127688, 159556?\nAnswer: 191390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 144 and 6768.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 7 - 2*y)*(4*y**3 + 2*y**3 - 5*y**3 + 3*y**3 + 3*y**3 - 5*y**3 + (-2*y**2 + 0*y**2 + 0*y**2)*(-y - y + 0*y) + y**3 + 0*y**3 + 0*y**3).\nAnswer: -14*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 13*v + 68 = 0. Solve -3*u = v*i - 1 + 2, -5*u - 9 = 3*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 b when four letters picked without replacement from {x: 2, j: 3, b: 12}?\nAnswer: 99\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*z - 10 - 66. Let l = 168 - 173. What is the nearest to l in 6\/5, z, 3?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 divided by -3\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -3*t - 20. Let m be (0\/(-2))\/(-6 - -4). Sort t, 3, m in descending order.\nAnswer: 3, m, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.14 + 13.14. Let t = l - 12.9. Let m = t - -0.1. What is the nearest to 1 in 5, m, -0.2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, t: 1, w: 2}. What is prob of picking 1 w and 1 t?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, 2, 5, -46, -271.\nAnswer: -271, -46, 0, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/7 in -14\/3, -1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -74.1 + 23954742\nAnswer: 23954667.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 125\/3047294?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 3*y - 12. Let q(d) = -1. Let x be (-92)\/(-8) - (-2)\/4. What is x*q(r) - l(r)?\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 86\/9317 (b) -2\/21 (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 760608 and 106752?\nAnswer: 6084864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -234 - -0.557181859\nAnswer: -233.442818141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 - 2. Let j be w(2). Let r = 60 - j. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -86804*n**2 - 188858 wrt n.\nAnswer: -173608*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -5)*1*1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 7*t**3 - 3*t**2 + t + 1. Let z = -1193 + 1194. Determine x(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2952109 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.59 in 0.4, -0.9, -1\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*c - 5*c + c)*(-2*c + 6*c - c)*(-2*c + 3*c - 9*c)*(-6 + 3 + 5) to the form j*c**2 + r*c**3 + u + p*c and give r.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/8, -5, -1\/4, 1\/15, 2\/11?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 45 and 4221.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 52451914 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, q: 1, n: 4, b: 3, u: 2, i: 6}. Give prob of sequence nbin.\nAnswer: 3\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 22, 23, 4, -35, -94?\n\"Answer: -10*o**2 + 31*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 10*n - 2773 = -7*n, -f + 565 = 2*n. Is f a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 6*y**2 - 27*y - 133. Let x be l(14). What is the greatest common divisor of 38 and x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**1)**(-1\/39)*(b**0)**(6\/7) assuming b is positive.\nAnswer: b**(-1\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 4*k + 2, -k - 23 = 6*l - l. Suppose -k*z - 3*z = -3*m + 103, -2*z + 120 = 5*m. Does 13 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*f**2 - 6*f + 9*f - 5*f.\nAnswer: 27*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 3*l**2)*(-3*l - 2*l + 4*l)*(49884*l - 79 - 49886*l + 511).\nAnswer: -6*l**4 + 1296*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/20 in -5, -0.01, -0.4, 3\/5?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -68*t**4 + 6*t**3 + 4*t + 116. Let l(x) = -68*x**4 + 5*x**3 + 3*x + 118. Let p(i) = -4*l(i) + 3*o(i). Differentiate p(n) wrt n.\nAnswer: 272*n**3 - 6*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from sunuuusl?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.1 (b) -0.4 (c) 2 (d) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23629 is divided by 4530?\nAnswer: 979","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -115 + 137. Suppose -x*n + 17*n = -30. Suppose -55 = 5*u + n*u. Which is the third biggest value? (a) u (b) -2\/13 (c) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-2\/11))\/(d\/(d**(-2)\/d)))**(-2) assuming d is positive.\nAnswer: d**(70\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21941?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -3*x - 4. Suppose 2*a = -4*z + 16, 3*z + 2*z - 25 = 0. Let r be u(a). Solve -r*h = 2*q + 3*q - 23, -2*q - h = -9 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 28276*i**3 + 441*i + 6.\nAnswer: 169656*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4693 + -4667. What is the remainder when 215 is divided by a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u + 57679 = -6*u + 187508. Is u less than 7636?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1134) - (sqrt(1134) - sqrt(1134)*-2))\/(3*sqrt(2)*-2 + sqrt(2)) - (3 + -4 + -2 + sqrt(343)).\nAnswer: -17*sqrt(7)\/5 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (24\/(-4) - -7)*5 + 0. Suppose -4*g - 4*y = 212, -11*y = q*g - 7*y + 266. Which is smaller: g or -56?\nAnswer: -56","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85859 is divided by 180.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -816*q + 274*q + 4*q**3 + 267*q + 275*q.\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/11 (b) 1 (c) 2\/21 (d) -2 (e) 112\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5037?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 305\/6 - 52. Let j = -267\/2 + 114. What is the common denominator of a and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of r**7\/210 - r**6\/30 + r**5\/10 - r**4\/6 + 5*r**3 + r. Let d(x) be the second derivative of o(x). Factor d(a).\nAnswer: 4*(a - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a + 2\/11*a**2 + 56\/11.\nAnswer: 2*(a + 4)*(a + 7)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, d: 4, c: 6}. Give prob of picking 1 d and 1 c.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*p**3 - 5*p**2 - p**2 + 8*p - 3*p - 4 - 3*p as z*p**2 + l + k*p**3 + d*p and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*w = -18*w + 504. Does 9 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/97632 and 109\/10848.\nAnswer: 97632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/5 of a centimeter?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7445 by 5.\nAnswer: 1489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -s**4\/7 + 618*s**3 - 17293*s**2\/7 + 21612*s\/7 - 8644\/7 = 0. Calculate s.\nAnswer: 1, 2, 4322","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -226808499 take away -0.3?\nAnswer: -226808498.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand m + 3*m**2 - m + (3*m - 14 + 14 + m**2)*(0 - 1 + 2).\nAnswer: 4*m**2 + 3*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/1)\/(-9*56\/(-6300))*(-16)\/(-440).\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -283a2 (base 11) in base 8?\nAnswer: -116725","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 305583201?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*o + 18*o**2 + 4*o)*(2*o - 2*o - o)*(-1044330 + 1044330 - 988*o) to f*o**4 + a*o**3 + s*o**2 + h*o + n and give f.\nAnswer: 17784","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -73815, -73822, -73833, -73848, -73867, -73890, -73917?\n\"Answer: -2*t**2 - t - 73812","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 33? (a) -1.4 (b) -2 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 - 3*p**2. Let h be g(-5). Let w = -15 + h. What is the remainder when (122\/10)\/(7\/w) is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1180087 = -c - 3*i + 8*i, -3*i - 4720382 = -4*c. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 185913449?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 + 10*g**2 - 11*g + 5. Let i be b(5). Let t = i - 73. Suppose 17 + 17 = 4*w + t*x, 0 = -2*w + 4*x + 2. Solve 0 = -3*o + w - 4 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of 3*u**4\/4 - u**3 - 7*u**2 - 8*u - 83. Is 32 a factor of n(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 3\/5. Let u = 42\/23 + -324\/253. Let o = u + -1\/22. What is the nearest to r in o, 5\/2, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.048059541 to 3 decimal places.\nAnswer: -0.048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2*24 - (4 + -4)\/(-7). What are the prime factors of 3*-10*(3 + h\/5)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 129 - 4*f - 62 + 0*f + 8*f**2 - 65. Let r be i(1). What is the greatest common factor of r and 390?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 u, and 2 t when four letters picked without replacement from uuujuputupututpttu?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12\/20 - (-17)\/(340\/1048). Suppose 2*l - 5*i = 249, i = l - i - 124. Let b = l - f. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/2 of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 - 13. Which is the third biggest value? (a) x (b) -0.1 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 21, 2, -176, -3 in descending order.\nAnswer: 21, 2, -2, -3, -176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*b - 24 + 27 + b - 19.\nAnswer: -13*b - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**27)\/(z\/z**5))\/((z*z\/z**(1\/10))\/(z**(-22)\/z*z)) assuming z is positive.\nAnswer: z**(-459\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 46379*y**4 + 50022.\nAnswer: 185516*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 4*u**3 + 13184*u**2 - 4449700*u + 21918400 = 0.\nAnswer: -3605, 5, 304","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46336707 is divided by 74.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-22)\/(-8) + -3 + (-63)\/(-28). Let m(t) = -t**3 + 4*t**2 - 2*t - 3. Let l be m(3). Sort l, -5, v, 24.\nAnswer: -5, l, v, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, 0, -3, -97, -118?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2872 to the power of 1\/2, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of -3\/20*f**5 - 18*f**2 + 23\/2*f**3 - 2*f + 2 - 5\/2*f**4. Let n(i) = 0. Calculate i.\nAnswer: -12, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d**3 - 5*d**2 + 5*d - 3. Let c be m(3). Suppose c*g + 171 = 24*g. List the prime factors of g.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -2*c**3 - 2 - 9*c**2 + c**3 + 14*c**2. Let z be j(5). Let i = -0.6 - 2.4. What is the biggest value in i, z, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/(p\/(((p**(2\/9)*p)\/p)\/p))*p*p\/(p*p**(2\/7))*(p**2)**(-47) assuming p is positive.\nAnswer: p**(-5926\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + -35 - (-14 - -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 55228 by -46.\nAnswer: -27614\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 217635 is divided by 180?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/4 (b) 0.4 (c) -617 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*x**4 + 472*x**3 + 1277*x**2 + 1334*x + 480 = 0.\nAnswer: -6, -80\/49, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 333313213 (base 4) in base 5?\nAnswer: 31332412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5551416403.5 - -5551418056.50001658. Let c = 1653 - n. What is c rounded to six dps?\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 10*x**5 + x**4 - 5*x**2 - 44*x. Let h(f) = 9*f**5 + f**4 - 6*f**2 - 43*f. Let z(n) = 5*h(n) - 6*m(n). Find the second derivative of z(k) wrt k.\nAnswer: -300*k**3 - 12*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 2*g = h - 96, 2*h - g = 194. Suppose a + h = 3*a. Calculate the remainder when a is divided by (4 - (-156)\/7) + (-2)\/7.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + 20. Is 22 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 2*w - 2 = 0, -2*w = 3*j + 2*w + 6. Suppose 4*r + 32 = 2*r. Is r\/4 + 5 + 792\/j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -4*n + 12, 3*n = 6*j - 2*j + 9. Let x(m) = -2*m + 137. List the prime factors of x(j).\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 - 16*u - 14. Let p be j(-14). Let o be (-50)\/p + 4 + (-292)\/(-70). Is o greater than or equal to 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2*f + 3*f + 3*f - 7*f + 3. Suppose 4 = 2*r - 0*r. Suppose 4*u - r*u + 12 = 0. Determine g(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (22\/99)\/((-2)\/(-141)) and (0 - -1) + 441\/56.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-2*((-4*(1 + sqrt(125)) - sqrt(125)) + 6*(sqrt(125) - -2*sqrt(125)) + (sqrt(125)*-2 - sqrt(125))*-1 + (sqrt(125) - (-1 + sqrt(125) + -4)))**2 + 4.\nAnswer: 640*sqrt(5) + 128008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -3.749.\nAnswer: 7.498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/49 and 71\/908.\nAnswer: 44492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 321138 and 513?\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 518 and 182.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -3*h - 44. Let o be t(-17). Suppose 5*p + 5*m = 1705, o*m + 1725 = 5*p + 2*m. Does 40 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -10*w + 13. Let v be s(-5). Let g = 314\/5 - v. Sort -3, 0.5, g in increasing order.\nAnswer: -3, g, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 344*w**3 - 1383*w**3 - 458*w**3.\nAnswer: -1497*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 81 - 49. Is h a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1295?\nAnswer: 5, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -134 - -135. Which is bigger: c or 7\/12?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 AM and 9:49 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of m**5\/20 - 23*m**4\/12 - 7*m**3\/3 + 13*m**2\/2 + 26*m. What is the remainder when c(24) is divided by (0 + 51)\/1*1?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 2*m = 0. Suppose 4*r + 16 - 64 = m. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 22) + (25 + 15 + -19 + -8 - 2).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 58151 - 35433. List the prime factors of p.\nAnswer: 2, 37, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/427536 and -99\/20616736.\nAnswer: 185550624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.359 rounded to zero decimal places?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*s - 6 = 30*s. Solve 3*d + 18 = -3*i, 16 = -6*i + s*i for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*r - 8*r = -88. Let a(f) = f**3 + 10*f**2 - 10*f + 16. Let y be a(r). What is the nearest to 20\/11 in -4\/7, y, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 10) to base 7\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 864837 is divided by 2882?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11 and 44298419.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-52)\/(-1326))\/(24\/34).\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 8 + 1 + (-112 + 101 - 33)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven thirds of a millennium?\nAnswer: 28000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**4 + 261*t**3 - 5271*t**2 - 17685*t - 12150.\nAnswer: -3*(t - 45)**2*(t + 1)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -3*q**3 - q**2 - 2*q - 1. Let x be l(-1). Suppose 0 = -s + x*u - 3, 2*s + 3*u = 10 + 2. Let m = 8 - s. Solve -3*n = n + 12, w + m*n = -20 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -75 + 75. Suppose -3*x + f = 0, 2*x + 3*f - 12 + 1 = w. Let d be (-2)\/15 - (-460)\/75. Which is greater: d or x?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/25 of a centimeter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30.9 + -14. Let o = u + -17. What is the third smallest value in o, -1, -2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 + 0)\/(1\/(-13)). Let c be 12*(26\/39 - (-22)\/(-24)). Put c, u, 2 in ascending order.\nAnswer: u, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 5*l + 17, -a - 3*a = l + 27. Let z = a - -16. Solve -h = h + z for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11 by 7943.\nAnswer: 11\/7943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2\/7 + 592*k\/7 - 590\/7.\nAnswer: -2*(k - 295)*(k - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 584019058 a multiple of 1163?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-9) - (-272)\/72. Suppose l*y + 4*f - 8 = 3*y, 0 = -y + f + 3. Suppose -47 = -y*g + 13. List the prime factors of g.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 6*k - 1. Suppose d - 6 + 9 = 0. Let h(t) = t - 2 + 2. Let u(y) = d*q(y) + 21*h(y). What is the first derivative of u(i) wrt i?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 7, -9\/76, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-3\/8)*t)\/(t*t**2))\/(t**0)**18 assuming t is positive.\nAnswer: t**(-19\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-178)\/(-445) - 5\/(50\/(-836)). Calculate the highest common divisor of 210 and s.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*v - 156 = 239 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1394211348 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2\/3 + 1063*a\/3 - 1064\/3.\nAnswer: (a - 1)*(a + 1064)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, -321, -4716, -2 in ascending order.\nAnswer: -4716, -321, -2, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3204, -3030, -2856, -2682, -2508, -2334?\n\"Answer: 174*f - 3378","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2534.421 nanograms in micrograms?\nAnswer: 2.534421","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 40292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 12 = x. Let f = -220358 - -220360. Solve f*z - 2 = -x for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 7, k: 3}. What is prob of picking 3 k?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 47a697a (base 11) to base 2\nAnswer: 11111111011010000010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2 (b) 0.08 (c) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-3) + 5263\/(-285) + 20?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 7) to base 8\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 50 = -15*l + 10*l, 5*l + 9*n - 4*n = 60 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 + 5*c**2 + 3. Let n be x(-5). Suppose 2*h - n*d = 10 - 1, 3*h - 14 = 5*d. Solve -j + 4 = h*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8322.254l to millilitres.\nAnswer: 8322254","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 x when three letters picked without replacement from {x: 7, q: 1, w: 5}?\nAnswer: 35\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -63.19 + 65.19. Which is the third biggest value? (a) 3\/5 (b) 115 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 122 + -121. Does 37 divide 4 + s + 142 + 1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 - 8*q**2 - 10*q + 13. Let f be p(9). Suppose -f = -4*m - 0. Let g(k) = 9*k - 6. Let u be g(m). Which is greater: -2\/7 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -3) + 2 + -3 - -6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1106 and 65570.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 4*d**3 + 14*d**2 - 24*d + 31. Let n(j) = j**3 + 5*j**2 - 8*j + 10. Let y(o) = -7*n(o) + 2*u(o). Calculate y(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 24 + 4\/6 + (-49)\/(-21). What is q rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - -137. Calculate the greatest common divisor of k and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*k**3 - k**3 - 52 + 54 as c + d*k**2 + j*k + t*k**3 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 104 - -54. Calculate the remainder when q is divided by ((-3516)\/24 - -3)*(240\/(-175) - (-12)\/15).\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7878 (base 10) in base 2?\nAnswer: -1111011000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(4*(-2)\/(-12)). Which is smaller: j or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -34 - -30. Let q = 2.1 - 2. Which is the nearest to q? (a) -3\/8 (b) -1 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 - 4*t**2 + 7 - 9 - 2*t + 8*t - 4. Let s be q(3). Suppose 292 = 2*m - 4*d, 0*m - 4*d = s*m - 488. Is m a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8495784 - 7784. What is g rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 210411 - 12?\nAnswer: 210344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 78, 424, 1000, 1806, 2842, 4108?\n\"Answer: 115*o**2 + o - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 10:33 PM?\nAnswer: 11:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(6\/5)*z)\/((z**(5\/7)\/z)\/z*z))**(-13) assuming z is positive.\nAnswer: z**(-1586\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(144)\/sqrt(300))**2.\nAnswer: 432\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*z - 89*z + 204*z = -6996 for z.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 2 = -5*x. Let w(b) = 8*b + 101 + 46*b - 49*b. Let k be w(-19). Put k, -3, x, 0 in descending order.\nAnswer: k, x, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/632708 and -5\/12.\nAnswer: 1898124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.13 and 208.\nAnswer: 27.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30893?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44953604?\nAnswer: 2, 11238401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 25*x - 46. Determine z(5).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 208 divide 2222480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 298 divide 242441?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of d**4\/12 - d**2\/2 + d. Let b = 3813 - 3812. Calculate h(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-81)\/231)\/((-14)\/49 - 0) and 67\/106.\nAnswer: 1166","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 152 - 146. Determine r so that 4*r**4 - 21*r**4 - 66*r**3 - v*r**5 - 22*r**4 - 24*r**2 = 0.\nAnswer: -4, -2, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 340434803?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -493 (b) 3 (c) -14\/5 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z + 1. Let w be k(-4). Suppose 2*a - 2 = 0, 48 - 15 = w*f + 3*a. Let c be f*-4*6\/(-4). What is the greatest common factor of 6 and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -211 + 11?\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 11:42 AM?\nAnswer: 3:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - (-636)\/132) + (-8)\/(-22)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 + 4*n**2 - n + 16. What is o(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r + 5. Let h be o(1). Solve 3*k = -3*j - 12, -26 = h*k - 3*j - 10 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -2 + -80 + 75 - (143 - 142)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1771084 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*k**2 - 90*k + 200 = 0. What is k?\nAnswer: -20, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 354 + 169 = 0. Let t = -466 + m. Is t a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 - 5*a**2 + 342*a - 78. Determine r(16).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 43 and 3827?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = 3*a - 231. Suppose a = 3*y - 31. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 4*m = 1137, -5*i - 2*m - 1155 = 3*m. Let v = i + 233. Solve -d - n = -v*n + 2, d + 4 = 5*n for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 6:30 AM?\nAnswer: 6:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10\/(-6)*4\/(-10). Let a = 25 + -27.5. Let h = a - 1.5. What is the closest to 0 in f, h, 5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7977674, -15955342, -23933010, -31910678, -39888346, -47866014?\nAnswer: -55843682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -9*l - 310. Let h be s(-37). Solve 3*w = -3*p + 7*w - 19, 3*w - h = 4*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a millennium in decades?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1996712*n**3 - n**2 + 750714*n + 1 wrt n.\nAnswer: -11980272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqommoooomqoomoo. What is prob of picking 2 o and 1 q?\nAnswer: 27\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-6 + 1 - -28 - 6) + 1?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (768\/(-210))\/8*1\/(-4)*(-1135)\/(-681).\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wllkllwkrwr. What is prob of picking 2 w and 1 k?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1041 - -3125\/3. Put -1\/7, 2, a, -2 in decreasing order.\nAnswer: 2, a, -1\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2423451 (base 6) to base 7.\nAnswer: 1041454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 441.5582 centuries in months?\nAnswer: 529869.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*i**3 + 22*i**3 - 20*i**3.\nAnswer: 12*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zi when two letters picked without replacement from oizo?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (6 - 2) + 495\/(-42) and (-1)\/(-8)*(-172)\/(-3).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 4*g - 9, t - 2*g + 77 = 80. Let d(c) = 11*c - 3. Let p(h) = 22*h - 5. Determine t*p(r) - 5*d(r).\nAnswer: 11*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9376 - -338.\nAnswer: 9714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 5 + 12*y + 5*y + 4 - 18*y. What is the remainder when (33\/4*1)\/((-8)\/(-32)) is divided by l(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1180, 3980, 8686, 15298?\nAnswer: 23816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 - -76. Calculate the highest common factor of z and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2970.123 grams to tonnes.\nAnswer: 0.002970123","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 1416*h - 5596. Determine f(4).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 32\/3, 0.1, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -3*h + 80760, -3*p + 57908 = -4*h - 22831. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32205 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 148\/14 + (-233)\/(19106\/1640).\nAnswer: -66\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + (-16)\/5)\/(43\/(12040\/84))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of -z**6\/15 + 2*z**5\/5 + 11*z**4\/6 - 10*z**3 - 2*z + 586. Factor s(i).\nAnswer: -2*i*(i - 5)*(i - 2)*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of o**7\/105 + o**6\/10 - 7*o**5\/30 - 4*o**4 - 12*o**3 - 98*o**2 - 2*o. Determine b, given that r(b) = 0.\nAnswer: -6, -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2110121202020 (base 3) in base 13?\nAnswer: -36bb14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 46 = 2*w, 0 = 2*x - 4*x + w + 30. Let d(g) = 13 - 16*g - 30*g**2 + 31*g**2 - 13 + 8 + 13. Give d(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1403*m - 103*m + 67842 = -2358 for m.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + 9*w - 5*w)*(-3 + 3 - 2)*(2331 - 2331 - 9*w).\nAnswer: 90*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/2 - (-21)\/14. What is the units digit of 24\/o + -2 + -1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 390 and 104.\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4126 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123111 is divided by 4102?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of 5*m**4\/12 - 4385*m**3\/3 - 99*m - 12. Factor c(h).\nAnswer: 5*h*(h - 1754)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23\/12 - -13\/6. Suppose -w = -3*x - 2 - 16, -3*x = -3*w + 24. Let m be 2\/(-6) + (-2)\/w. What is the nearest to -0.1 in c, m, 5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66023 (base 7) to base 10.\nAnswer: 16481","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*q + 45 - 71 = 0. Solve -294*x + 295*x = q for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 281*v**3 - 1128*v**3 + 295*v**3 + 247*v**3 + 311*v**3.\nAnswer: 6*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (a - 2 - 2*a + 0*a)*(-5 - 3 + 18439*a - 18246*a) in the form x*a**2 + q + m*a and give q.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 greater than or equal to 61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -131 (c) -0.3 (d) -1 (e) -18\/109 (f) 0.4 (g) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 342\/42 + 2\/14*-1.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 + 9*b**2 - 14*b + 9. Let z be w(-10). Let n = z + -35. What is the greatest common divisor of 35 and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 + 32*x**2 - 52*x - 431. Give a(29).\nAnswer: 584","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21 + -21. Let a be 4\/(i - 2) + 10. What is the highest common factor of a and 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of o**5\/20 - 3*o**4\/4 - 7*o**3\/6 + 33*o**2\/2 + 26*o. Is 23 a factor of v(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, 0.3, 155, -107?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2035 - 5.\nAnswer: -2040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -7 - 4 - 2 + c + 6. Let o be y(11). Suppose o*k - 7*k + 6600 = 0. What is k rounded to the nearest 100?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15065 (base 8) in base 3?\nAnswer: 100012111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) -3\/22 (c) 3\/8 (d) 0.3 (e) -69 (f) -111 (g) -0.17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of -c**5\/60 + 65*c**2. Let s(y) = 2*y**2 - 36*y. Determine a(s(z)).\nAnswer: -4*z**4 + 144*z**3 - 1296*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 + 20)*(-2)\/104. Let s = g + -5\/52. Let l = -25\/26 - s. Which is the nearest to 0.1? (a) -5 (b) 2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3226 = -4*w - 2*j, -4 - 6 = 2*j. Suppose 0 = -12*r + 163 + 29. What is the remainder when 4\/18 - w\/27 is divided by r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 609297826?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, 22, 45, 78, 121, 174, 237?\nAnswer: 310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4 - 0\/7) + (-108)\/(-3). Solve g = n + 7*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 j when two letters picked without replacement from cajastjtsjsj?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7798?\nAnswer: 2, 7, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**2 - 1072*i - 39732.\nAnswer: 4*(i - 301)*(i + 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -952*q + 11329. Calculate l(12).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 355 = 5*z - 80. Let l be (-663)\/(-2) - (-60)\/40. Let n = -275 + l. Calculate the greatest common divisor of n and z.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -233*q + 163*q + 11480. What is the highest common divisor of 574 and q?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - 41.64366?\nAnswer: -50.64366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (12\/(-30))\/((-1)\/125) is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -83*j**2*x**3 - 4*j**2*x**2 + 7388*j**2*x - 188*v*x**3 - v*x**2 + 3*v*x wrt x?\nAnswer: -498*j**2 - 1128*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*j**3 - 26*j**2 - 17*j**2 + 1 + 61*j**2 + j**4 - 28*j**2 - 9*j**3 - 9*j to the form r*j**3 + d*j**4 + p + o*j + n*j**2 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6967.5 - -6968. Which is the closest to 0.1? (a) 4 (b) -26 (c) -1\/7 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1210621 by -17.\nAnswer: -71213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3109*a - 5*d + 337 = -3111*a, 4*d - 48 = 57*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18650*k**2 + 18650*k**2 + 137*k**3 - 134*k**3.\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -7*x**3 - 2. Let c(i) = 4*i**2 - i. Let f be c(-1). Let t(p) = p**2 - 2 - p**2 - 14*p**3 + 6*p**3. Suppose g - 16 = 5*g. Determine f*d(q) + g*t(q).\nAnswer: -3*q**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 185987992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 + 2*b - 1. Let p(a) = -a - 1. Suppose 3*h + 14 = 3*d - 2*h, -2*d - h - 8 = 0. Give d*p(i) - w(i).\nAnswer: i**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2 - 172*v + 525.\nAnswer: -(v - 3)*(v + 175)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 + 6*m - 4. Calculate the remainder when 21 is divided by w(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 5349964?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 3*c - 7. Let t be m(6). Solve -3*u + 2*w - 3*w = t, -2*w - 10 = 3*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -14466, -29662, -45598, -62274, -79690, -97846, -116742?\n\"Answer: -370*j**2 - 14086*j - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 214234a (base 11) in base 12?\nAnswer: 1317360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 676553 and 177?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.06 + -0.1. Let h = -0.44 - u. Let d = 760 + -762. What is the closest to 0.2 in h, 5, d?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 201 and 26365907.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -148 = -5*i + 252. Let c = -311 + 327. Calculate the highest common divisor of i and c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132551*b + 945 = 132516*b for b.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o = -218 - 20. Let r be (-45)\/(-20) + (o\/8 - -4). Suppose 1 = -3*z - 2. Which is the smallest value? (a) r (b) 0.5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 + 6*v**2 + 5*v + 2. Let f be a(-5). Let u be 4\/(-6) - 56\/(-21). Suppose -i = -5*l - 85, -u*l = f*i + 2*l - 114. Is 13 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aikkk. What is prob of picking 1 i and 1 a?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 3*p - 2. Let d be -2*p\/(-10) + (-62)\/(-10). Suppose d*g = 12*g - 90. Is g a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + -423?\nAnswer: -421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from qqqqququuqq.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) -2 (c) 2 (d) 119424\/97 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4885 = -169*v + 601*v + 14821 for v.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 2*c + 36. Suppose 5*a + 6 = -14. Let r = 0 - a. Calculate the smallest common multiple of f(-16) and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 PM and 6:48 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 + 7*t**2 + 10*t + 15. Let c be b(-6). Let p be (4\/(-6))\/(-3 + (-25)\/c). Solve -s + p*s = 2 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3206 - -3206.4438. Let a = 4 - 3.56. Let h = a - g. Round h to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 43515*w - 30 - 87045*w + w**2 + w**3 + 43522*w as x*w**3 + t*w + p*w**2 + g and give g.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*l + 88*l = -2. Let s be (-64)\/(-6) - ((-6)\/(-9) + l). Let d(k) = k**3 - 13*k**2 + 13*k + 2. Determine d(s).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dwugfdcu. What is prob of sequence uc?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 5*k - 12 = -6*y, -15 = -5*y - 3*k. Let r(z) = -4*z. Let f(t) = -t. Let j(c) = y*r(c) - 8*f(c). Let a(d) = 10*d**2. Calculate a(j(m)).\nAnswer: 160*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -115, -180, -275, -388, -507, -620, -715, -780?\nAnswer: -803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 0 + 4)*(-12 - 4 + 2)*(-10*v**3 - 39*v**3 + 3*v**3) in the form t*v**3 + y + f*v**2 + k*v and give t.\nAnswer: 644","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -4*n - 80. Let f be l(-20). Let q be 0 + 0 - (f + (3 - 9)). Solve -4*z + q = -2*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -52 + -160. Let b = 171 + o. Which is smaller: -211\/5 or b?\nAnswer: -211\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 228 and 6861732?\nAnswer: 130372908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 11*l - 1. Let s be m(2). What is the highest common divisor of 231 and s?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-2)*(-8)\/(-6). Suppose -i = 5*b + g*i - 98, -2*i = -b + 17. List the prime factors of b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -187*b + 391. Let p be q(2). Solve p*l - 25*l = -40 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j - j - 2*j + (-2 + 2 + 2)*(0*j - 5*j + 3*j) + j + 0 + 0)*(-3*j**3 + 8*j**3 + 0*j**3).\nAnswer: -10*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 29 + -9. Is l a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -411*d - 282. Calculate the lowest common multiple of 260 and g(-6).\nAnswer: 10920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = 2*u + 11, 5*u + 156 = -5*r + 216 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-30)\/20*(2 - 334\/3).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**2 + 3*v**2 - 5 + 4*v + 0*v**2)*(8 - 8 + 2*v**2).\nAnswer: 2*v**4 + 8*v**3 - 10*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 291?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - z = 3850, 3*f - 81*z = -85*z + 11585. What are the prime factors of f?\nAnswer: 3, 5, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of 0*p - 1\/48*p**4 - 1\/420*p**7 + 0 - 6*p**2 + 1\/240*p**6 + 0*p**3 + 1\/120*p**5. Suppose g(s) = 0. Calculate s.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 4 - 8 = 0. Suppose -5*c + c = -5*g, 4*g = 4*c + c. Suppose 0 = w*h - g*h - 6. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 60 + 1?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 77*l**2. Let o = -9 - -10. Is x(o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 4*m = -17, 4*m + 15368 - 7691 = -2*f + 7619 for f.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(-7 - -4)*3. Suppose -5 - 1 = -k*m. Solve 2 = -2*c - m for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - v + 4 = -6*t, 0 = v - 4. Let c be (-1 - t) + (-27)\/(-33). What is the nearest to -3 in -2\/3, -3\/2, c?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1248 and 12207.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 508 by 63541.\nAnswer: 508\/63541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 284, -3919?\nAnswer: -3919","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 53676 and 700.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of k**5\/20 - 55*k**4\/12 - k**3\/3 - 2*k**2 + 9*k + 2. What is the second derivative of c(o) wrt o?\nAnswer: 6*o - 110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -528*q + 603. Calculate o(2).\nAnswer: -453","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, o: 2, e: 5, c: 2}. Give prob of picking 3 e.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 3*f + 2*t + 6 = 0, 11 = -2*f - 5*t. Which is smaller: 1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1014*k + 1009*k - 16 + 56 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.03155ns to seconds.\nAnswer: 0.00000000403155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*c = -32*c + 636. Let g = -2386\/15 + c. Let m = 6 - 6. Which is greater: g or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.185 or 25?\nAnswer: 0.185","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -2*d**5\/19 + 390*d**4\/19 - 10518*d**3\/19 + 104330*d**2\/19 - 391200*d\/19 + 297000\/19 = 0.\nAnswer: 1, 9, 10, 165","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 5 - 5)*(2*l**2 + 4 - 4) + 1128*l + 7393*l**2 + 7306*l**2 - 14701*l**2 to the form j + c*l + x*l**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 0*h = -295. Does 2 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000507 rounded to five decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 4*z + 10 - 23 = 0, -2*b + 2*z + 14 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -55 - -55. Does 6 divide 19 - 1 - (-2 - b) - 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3172, 1.\nAnswer: 0, 1, 3172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 8.553491ug?\nAnswer: 0.000000000008553491","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 51472 and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 18894.88cm?\nAnswer: 188.9488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + r = 0. Suppose 0 = 2*n - 3*p - 1, -5*p - 3 = -4*n - r*n. Solve n*a - 5*a - 6 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -111\/24230 and -107\/13355576.\nAnswer: 66777880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 48 = 24*i, 0 = 5*i - 6404*z + 6406*z + 10 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 40 = -5*o, -4*o - 2*z = 3*z + 5. Which is the nearest to -0.3? (a) -5 (b) 2 (c) -18 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of -3*v**2 + 7*v - 60. Let b be x(-3). Let q(o) = 0 + 85*o + 2 - 2. Let h(j) = 7*j. Calculate b*h(f) - 2*q(f).\nAnswer: 5*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5080d (base 14) to base 13.\nAnswer: 6a1c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 111183937 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1747706 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 515*w**4 - 933*w**4 - 430*w**4 + (0*w**4 - w**4 - 2*w**4)*(-4 + 3 + 3) to g*w**2 + o + i*w**3 + a*w + z*w**4 and give z.\nAnswer: -854","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/2753 or -1?\nAnswer: 2\/2753","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*n = -15*n - 68. Let h = -34 - n. Solve h = 4*z - 24 + 8 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -24387*g - 55. Let n(b) = 1355*b + 3. Determine 55*n(t) + 3*x(t).\nAnswer: 1364*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -69\nAnswer: -207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-4))\/(2\/(-12)*-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1890+0.8\nAnswer: -1889.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 0.1, 0, 2\/5, -1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2528340 and 360.\nAnswer: 15170040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (33 - 7*w - 33)*(-2*w**3 + 3*w**3 + 0*w**3) to the form h*w**3 + b*w + s*w**4 + m + y*w**2 and give s.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 128.1 to the nearest ten.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qlqilppppiqq. Give prob of picking 2 l and 1 i.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-39))\/v)\/v**(-2\/9)*v**(9\/4)*v*v\/((v*v**3*v)\/v)*v assuming v is positive.\nAnswer: v**(1457\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -2*l**2 + 23 - 6 + 22*l + 12 - 26*l. Let w be j(-5). Is w at most as big as -3.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/45 + (5776\/15)\/8. Solve 77 + a = 25*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*o - 9809 + 3033*o**2 + 17*o + 9809 to l + r*o**2 + m*o and give r.\nAnswer: 3033","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*5\/20 + (1 - 2). Suppose -n + 0 = 4. What is the nearest to t in -1\/3, -3\/5, n?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -23 + 302. Let q = 56 + n. Let f = 57 + q. What is the lowest common multiple of 14 and f?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 8 = -2*n. Suppose 0 = -4*g + 12 + 108. Suppose -f + g = n*f. List the prime factors of f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-76)*(-19)\/7*1\/(-2).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2 - 3*h**2 - 15*h**3 - h**2 + 4*h**3 + 12*h**3. Give t(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d + 3*d = 3*d. Let s(z) be the second derivative of -2*z + 1\/6*z**3 + d*z**2 + 0. Let i(f) = 2*f. Give s(i(c)).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2*f**2 - 4*f + 1. Determine w(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = -5*i - 35, 0 = 3*v - 2*v - 2*i - 12 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 38 = 2*z - z, 4*q + 42 = -z. Let u = -9 - q. What is the second smallest value in -5, -1, u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.383459 litres?\nAnswer: 383.459","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-8)\/(-7) - 1)*(-1)\/(203\/91) and -20\/3.\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1387566 is divided by 67.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 + 22*q - 89. Let f be p(16). Which is smaller: f or 114?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v. Let h(g) = -3678*g**2 + 5*g. Calculate h(q(u)).\nAnswer: -3678*u**2 + 5*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 - 2*b. Let s be q(2). Suppose s*p = -5 + 17. Suppose -5*g + p*u = -128, -3*g + 62 + 6 = -4*u. Is 18 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 21\/4 of a second?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 4*g + 12. Solve 3*f - f + g = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144715 is divided by 120.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 170080086?\nAnswer: 2, 3, 11, 1487, 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -37*c**3*p**2 + 211*c**3*p + 2*c**3 + c**2 - c*p**2 + 3932*p**2 + 13*p wrt p.\nAnswer: -74*c**3 - 2*c + 7864","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 45 and 1305?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -7*h. Let z be 3 + 63925\/(-9230) - h. Let a = 134\/71 + z. Calculate the common denominator of -83\/20 and a.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of 3\/2*m**2 + 38*m + 1\/20*m**5 + 1\/2*m**3 + 1\/6*m**4 + 0. What is z(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 97347?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of 5*m**4\/4 - 2075*m**3\/3 + 1035*m**2 + 1710. Factor s(h).\nAnswer: 5*h*(h - 414)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 5*n = 23, 4*f + n + 2*n = 17. Let w be ((-9)\/15)\/(f\/(-10)). Suppose -w*p - 26690 - 118510 = 0. What is p rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 2 = 0, 328 - 371 = 3*d + t. Let m(s) = 37*s + 522. Give m(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33132*w + 22084*w + 43637*w - 1.\nAnswer: 98853*w - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17360 (base 12) to base 8.\nAnswer: 101070","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*j**5*y**3 + 2042*j**5*y + j**2*y**2 + 34*j**2*y - j**2 + 20*y**3 + 32*y**2 + y wrt j.\nAnswer: -600*j**2*y**3 + 122520*j**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3104481?\nAnswer: 3, 1034827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21521 to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.01, 6.69, 0, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -2778410 to the nearest 100000.\nAnswer: -2800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/1 - (8 + (-9 - 1)). Solve h*p = 13*p - 27 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -3 + (sqrt(1053) + 0)*4 + (1*sqrt(1053)*-1 + sqrt(1053))**2 + -6*(sqrt(1053) + 0 + -2) + -3.\nAnswer: -18*sqrt(13) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1229*u**2*w**2 - 8035*u**2*w + 49217*u*w**2 + 119*w**2 wrt u.\nAnswer: 2458*w**2 - 16070*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 393 and 90702?\nAnswer: 11881962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*h - 232 = 11*h + d, -7*h - 20*d - 98 - 209 = 99 for h.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -7*c**3 - 10*c**2 + 8*c - 2. Let q(d) = -20*d**3 - 29*d**2 + 23*d - 5. Let u(m) = 6*q(m) - 17*y(m). Suppose 0*t = t + 4. What is u(t)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, 62, 147, 266, 419?\nAnswer: 606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.0126 + 140\nAnswer: 139.9874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = -n - 6, -12*d - 2*n = -9*d + 5 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-154)\/(-36))\/(1592\/(-14328)).\nAnswer: -77\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -111 (base 2) to base 11\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = x + 7, 3*x = -4*i - 0*i. Let r = x + 7. Calculate the least common multiple of (-10)\/6*3*-1 and r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - (-21)\/9)*45. What is the highest common factor of s and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 12192923 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.05 + -256.\nAnswer: -256.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 555945 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -4411.83 to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 4)*(0*l + 4*l - 3*l) + (-22067 + 22067 + 277*l)*(4 - 5 - 1 + (-3 + 0 + 1)*(4 - 2 + 0) + 0 + 0 - 2 + 3 - 3 - 2).\nAnswer: -2771*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -k + h - 13, 3*h - 39 = 1472*k - 1470*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = -6*t - 42. Let g(x) = -133*x - 100. Is g(t) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**2 + 10755468*v + 9640007658252.\nAnswer: 3*(v + 1792578)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q**4 + 833*q**3 + q**2 + 1 - 1029*q**3 - 362*q**3 + q**4 + q**2 - q**2 + (3*q**3 + 3*q**3 - 5*q**3)*(-1 + 1 - q) - 4*q**4 + 2*q**4 + q**4.\nAnswer: -3*q**4 - 558*q**3 + q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 674 is divided by 19.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 8*s**5 - 2290*s**4 - 163196*s**3 - 2986706*s**2 - 16180944*s + 4234464 = 0.\nAnswer: -36, -13, 1\/4, 348","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b - 27*b + 119*b**3 + 24*b)*(0 + 4 - 5).\nAnswer: -119*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(2*2*sqrt(448)*-2 + 3)*6*2.\nAnswer: -4608*sqrt(7) + 216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/(2475\/7386) - (4 + -7). Let u = -59\/5 - k. Calculate the common denominator of u and -62\/33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.5 + 0. Let d = -4.8 - -2.6. Let f = d - -1.2. Which is the third smallest value? (a) 1 (b) f (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w + 6*w = -256. Suppose -j = 3*j - w. Let x be ((-2)\/6)\/(3\/(-36)). Solve 0 = -5*f + 2*i - 7 + j, 14 = -2*f - x*i for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-21)\/(-5))\/((-9)\/(-2745)). Suppose 2*o + b = 5*o. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/5 of a centimeter in millimeters?\nAnswer: 106","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -0.31 (b) -6 (c) 0.3 (d) -1\/5 (e) 621\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 147 + -145. Let t(l) = l + 7. Let w be t(4). Put w, f, -1, -3 in decreasing order.\nAnswer: w, f, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 g, and 1 v when three letters picked without replacement from {g: 3, z: 2, m: 1, t: 4, b: 1, v: 1}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 - f**2. Let c be 7\/3 - 1\/3. Let b(o) = -o**3 + o**2. Let a(k) = c*b(k) - h(k). Find the third derivative of a(u) wrt u.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77 - 7*q**3 + 77 - 154.\nAnswer: -7*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.4 and 46261605668.\nAnswer: 46261605668.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.8 - 5.8. Let l = j + 4.5. Let z = -0.1 - -0.1. Which is the smallest value? (a) -0.4 (b) l (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2814?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -7*t - 81. Let h be y(-12). Find the second derivative of 9*p - p**2 + 8*p - 3*p + p**3 - h - 2*p**3 wrt p.\nAnswer: -6*p - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of 5\/2*n**2 - 18 + 6*n. Let b(x) = 5*x + 7. Calculate -6*b(l) + 7*o(l).\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2 - 151.9. Let n = 152 + v. Which is the second biggest value? (a) n (b) -3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4870272 or -4870274?\nAnswer: -4870272","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4253 + 4257. Solve -z = o*s - 6, -2*s - 9*z = -8*z - 2 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/7 - (-476354)\/2030. Let x = q + -234. Sort -1\/5, -0.4, 4, x in descending order.\nAnswer: 4, x, -1\/5, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 2:52 PM?\nAnswer: 1:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = -2*l + w + 16, -2*w = -16*l - 5*l - 3*w + 80 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 6*t + 16. Let y be o(-7). Let d = -22 - y. Solve d*b + 2*h = 7*h - 14, -h = -4*b - 6 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 34*y**2 + 89*y - 1. Let o(z) = -18*z**2 - 44*z + 1. What is 7*o(d) + 4*r(d)?\nAnswer: 10*d**2 + 48*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x*x*x\/x**0*x))**35\/((x\/x**(-2\/7))\/x*x)**(1\/17))**(2\/17))**(1\/8) assuming x is positive.\nAnswer: x**(-3126\/2023)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2103, 6, 29, 5 in ascending order.\nAnswer: -2103, 5, 6, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1173341615?\nAnswer: 5, 17, 13804019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d**(2\/15)))\/(d*(d**44*d)\/d*d)*(d\/d**38*d)\/((d*d\/(d**(-17)\/d*d)*d)\/d*d))**(-1\/13) assuming d is positive.\nAnswer: d**(1532\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1\/110 - -237\/1870. Which is the second smallest value? (a) 8 (b) 0.6 (c) -0.1 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 10, 83*x - 78*x = -4*d + 25. Let j be (-4)\/2 - (1 - 7). What is the fourth smallest value in -2\/3, x, j, 18\/7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 12*v**2 + 3*v - 3. List the prime factors of x(2).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/6, 32\/15, -4, 0?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -2*j**3\/3 - 153866*j**2\/3 - 51288*j = 0.\nAnswer: -76932, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(8) + -5.\nAnswer: -2 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by -2280210?\nAnswer: 3\/760070","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 - 12. Let y be 6\/22 + (p\/(-22))\/1. Sort 0.04, -2, y, 0.2 in ascending order.\nAnswer: -2, 0.04, y, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + (-1)\/(-1) + -5. Let s(q) be the first derivative of q**4\/4 - 14*q**3 + 3*q**2 - 249*q + 643. Let o be s(42). Put o, 4, -4, k in decreasing order.\nAnswer: 4, o, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**4\/5 + 314*s**3\/5 - 2670*s**2 + 15750*s = 0.\nAnswer: 0, 7, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/50218 and -75\/45934?\nAnswer: 9692074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 at most -3846681?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 42213611 - -25?\nAnswer: 42213636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -247 (b) 2\/7 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/7? (a) 0.1 (b) 5 (c) -3 (d) 15\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 5, 1, 14\/3, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) 3\/8 (b) 205 (c) -0.75 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -64 + 203f8?\nAnswer: 20394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 14 = -3*b. What is the third derivative of 29*p**2 - 6*p**b + 3*p**3 + 20*p**3 wrt p?\nAnswer: 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65704373?\nAnswer: 7, 9386339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/(-9) - -1)*54. Suppose -62*v = -53*v - m. Determine p so that -18*p**3 + 0 - 4\/3*p - 14\/3*p**5 + 26\/3*p**v + 46\/3*p**4 = 0.\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(-7)\/((-28)\/3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.5516 rounded to 0 dps?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 332938986.\nAnswer: 2, 3, 55489831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -37 + 58. Let a = 24 - l. Let h(v) = -5*v - a*v + 18 - 18. Calculate h(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((4\/(-504))\/(1\/18*-6))\/(18\/27).\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -1212*j + 409666. Calculate u(338).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (230\/575)\/((-1)\/5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 8 + 2 = 0. Let v be (-18)\/(-5) + o\/5. Solve -3*y + v = 4*f - 0, -20 = 2*y - 3*f for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7121718?\nAnswer: 2, 3, 173, 2287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10536 is divided by 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 29762 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 0.25, 8\/3, -1.5?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -522.604*8.2\nAnswer: -4285.3528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -32*b. Suppose -2*u - 16 = -w, 4*u = w - 23 - 11. Let x(p) = -7*p. Let v(h) = u*x(h) + 2*l(h). Calculate v(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 76, -3, 3, 0, 2.\nAnswer: -3, 0, 2, 3, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 40133 + 10?\nAnswer: 40143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -4, 0.4, -0.1, 2, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -92, -81, -62, -35, 0?\n\"Answer: 4*f**2 - f - 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000101111000100100001 + 10110?\nAnswer: -1000101111000100001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4616\/17 >= 273?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -922*i**2 - 415 wrt i.\nAnswer: -1844*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -c + 6032, -4*i + 9918 = 4*c - 14206. Is c a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1352836 (base 10) to base 5.\nAnswer: 321242321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 25138 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -74\/530941?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/(-12))\/(-1) - 3020\/8. Let y = t - -383. Solve -2*b + 2*k - 15 = 1, 3*k + 8 = -y*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/15 of a week in seconds?\nAnswer: 40320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5, v: 7, j: 1, p: 1, x: 1}. What is prob of picking 1 v and 1 p?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of h**3*l**4 + 22*h**3 - h**2*l**4 - 5*h*l wrt l?\nAnswer: 12*h**3*l**2 - 12*h**2*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9 - -6*8\/(-12). Suppose 35 = -5*i + 5*w, -5*w = 2*i + i + x. Is (-6663)\/6*(i - -3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 29613 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c**2\/3 + 22*c\/3 - 16 = 0 for c.\nAnswer: 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -397106500 by 230.\nAnswer: -1726550","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*u + 6 + 8*u + 5872*u**2 - 5970*u**2.\nAnswer: -98*u**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -35317, -282534, -953547, -2260252, -4414545, -7628322, -12113479, -18081912?\n\"Answer: -35316*x**3 - 2*x**2 + x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -304 - -309. Let g(f) = -f. Let b = -5 + 1. Let x be -2*((-6)\/b - 2). Let p(r) = 2*r**2 + 5*r. What is t*g(a) + x*p(a)?\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -246490*g**4*p + 406*g**3*p*y + 444*p*y - 32*p - 595*y with respect to g.\nAnswer: -985960*g**3*p + 1218*g**2*p*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -386*s**2 + 210*s.\nAnswer: -772","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 3*j - 913 = 701, 2*j - 4024 = -5*p. What is p rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*f**3 - 2*f**4 - 1680*f**5 + 1683*f**5 + 11*f**4.\nAnswer: 3*f**3*(f + 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 78.3, 4, -0.5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7*o**2*y**2 - o*y**2 + 7*o*y - 373*y**2 wrt o?\nAnswer: 14*o*y**2 - y**2 + 7*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 33040847?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 188 divided by 41.\nAnswer: 188\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 807984559 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 211 - 211.4. Which is the closest to 0.02? (a) g (b) -3\/5 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38 + 38 + 158*t**3 + 417*t**3.\nAnswer: 575*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (72\/(-3864)*-23)\/(33\/14)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j**3 - 70*j**2 - 129*j + 96. Let o be r(-33). Suppose 1 + 2 = x. Calculate the lowest common multiple of 10 and 4 - (o - (x + -2)).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*l**2 + l**2 - 164*l - 5*l**2 - 42*l.\nAnswer: l**2 - 206*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 7*i**3 + 14*i**2 + 8*i - 12. Let v(n) = -13*n**3 - 27*n**2 - 15*n + 23. Let p = -166 + 160. Let d(x) = p*v(x) - 11*l(x). Calculate d(-8).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 15655, 17 in descending order.\nAnswer: 15655, 17, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 75.21 * 1.\nAnswer: 75.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of -c**4\/12 + 7*c**3\/6 - 3*c**2 + 4*c. Let w be m(5). Find the first derivative of 3 - 6 - 2*h**w - h**4 wrt h.\nAnswer: -12*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-21)\/(-2) + 6\/4. Let o = q + -9. Let l(j) = -4 + 2*j + j + 0. Give l(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.86 + -0.06. Let j = 364.4 - 362.4. Let s be (-2)\/5 + (-2)\/(-5). Which is the closest to u? (a) -0.5 (b) j (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59323 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 527936?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 + 8*v**2 - 5*v + 6. Determine k(6).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1640604, 3281200, 4921806, 6562428, 8203072, 9843744, 11484450, 13125196?\nAnswer: 14765988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.04 + 3.54. Which is the fourth biggest value? (a) -157 (b) l (c) 0.2 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2073917?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 712719 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*3*(sqrt(7) + 1)*6)**2 + -3.\nAnswer: 648*sqrt(7) + 2589","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 t when two letters picked without replacement from {t: 7, s: 1, r: 1, l: 4}.\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 13838*m + 5. Let g(z) = 13837*z + 5. Let v(t) = 4*a(t) - 6*g(t). Let l be v(-3). What is l rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*z - 14467106 - 2909106. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbbbbebbbebbbbbbeb. What is prob of sequence bb?\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1605.7999986626 - 1605.8. What is k rounded to 7 dps?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i**(-3\/5))*i)**(-2\/35)\/(i*i**(-18)*i\/((i**(13\/5)*i*i)\/i)))**(-7\/10) assuming i is positive.\nAnswer: i**(-1707\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2592) + 2 - sqrt(2592) - sqrt(32) - sqrt(32)) + sqrt(32) + 5*sqrt(2)*5*6)**2.\nAnswer: 584*sqrt(2) + 42636","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mk when two letters picked without replacement from mmzmmzmkmm?\nAnswer: 7\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hx when two letters picked without replacement from {v: 5, h: 3, k: 1, x: 4, a: 1, e: 6}.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 213680 + -0.099?\nAnswer: 213679.901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 35356 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of z**5\/60 - z**4\/12 - 2*z**3\/3 - 46*z**2. Calculate h(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*v + 13 - 13 = 0. Solve -3*c + 4*o + 16 = v, -5*o + 7 + 4 = 4*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 51.0561 - -0.0189. Let f = x - 50. Let u = f + 0.065. Round u to one dp.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*b**2 + 15*b**2 + 5*b**2 + 29*b**2.\nAnswer: 123*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 291 is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2\/1737 + -10348\/64269. Let h = p - 531\/148. What is the common denominator of h and -121\/40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 - 12*v**2 + 11*v - 8. Let h be r(11). Which is smaller: -12 or h?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*u = -14*u. Find the second derivative of 2 - 6*g + u*g**5 + 2*g**5 - 2 wrt g.\nAnswer: 40*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5.6 - 5.6. What is the third biggest value in -2\/11, 4\/5, -3\/2, y?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - -12212022002102?\nAnswer: 12212022002022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*a - 442 - 8*a - 10*a + 16.\nAnswer: -13*a - 426","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 113427201493 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -64c74b (base 14) in base 7?\nAnswer: -41012124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 44004 - 22517. What are the prime factors of y?\nAnswer: 21487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the third derivative of g**8\/3360 + g**7\/252 + g**6\/45 + g**5\/15 - g**4\/24 - 4*g**2. Let c(q) be the second derivative of i(q). Factor c(t).\nAnswer: 2*(t + 1)*(t + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 3*w**4 - 37485*w**3 + 37479*w**2 + 37485*w - 37482 = 0.\nAnswer: -1, 1, 12494","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 5*p + 22. Let i(s) = 14*s**2 - 365*s + 24. Let q be i(26). Which is the closest to -2\/9? (a) q (b) p (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110222222122 - 21122?\nAnswer: -111000021021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 64 + (-189)\/(-105)*(-10)\/3?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 25\/2 of a tonne?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 6469809050 to the nearest 100000.\nAnswer: 6469800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*a - 8*a - 4*r = -11, -5*a + 4*r - 41 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, 1, -0.1, 0.4, -3.9, 8813 in ascending order.\nAnswer: -3.9, -1\/5, -0.1, 0.4, 1, 8813","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(1\/2))**(-9))**(-1) assuming k is positive.\nAnswer: k**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 12 = 19*q. What is the highest common factor of 9 and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2574*n**2 + 26*n. Let g(t) = -429*t**2 + 4*t. Give -26*g(j) + 4*m(j).\nAnswer: 858*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 352485\/3465 + (-312)\/66.\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/550*(-5)\/2. Which is smaller: 1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.29548 rounded to 3 decimal places?\nAnswer: 1.295","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 5*b - 189 = -5*h, b + 5 = 0. Suppose -h = -5*o + 1. Does 14 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 + h + 6. Let q be a(4). Sort 3, -3, q in ascending order.\nAnswer: q, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37609213 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 55\/((25\/8)\/((-22380)\/5968))?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.77234 - 181635.22766. Let u = 181645.79918 + h. Let k = -9.8 + u. What is k rounded to 4 decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11372 by -2843.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -291*z + 11994 - 1518 for z.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1700)*-1 + -4 + 0)**2 - (2*(sqrt(1377) - -3*sqrt(1377)) + sqrt(1377) + sqrt(1377) + 5)) + 4.\nAnswer: -10*sqrt(17) + 1715","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a + 4. Let u = 36 + -49. Let k be x(u). Let z(w) = 1 + 6 + k*w - 8*w - 7*w. Determine z(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13061\/296 + 0 + -1*(3 + (-138)\/48).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (36\/(-30))\/((-4)\/(-10)). Let x be 53\/5 + p\/5. Solve 3*q - x = 2 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*h + 50*h = 4*z + 15, 0 = 4*z + h + 1 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -138, -148, -156, -156, -142, -108?\n\"Answer: x**3 - 5*x**2 - 2*x - 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.274? (a) -0.4 (b) 3\/4 (c) 0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 28 = 5*s - 4*o, -3*o = 4*s - 34. Suppose 3*u + 0 = 9. Let h = u + s. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -468.9389 or -1\/16?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5960 + 18773. Does 13 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1305 = -4*j + 3*u, 4*j + 1308 = -u + 5*u. What are the prime factors of 4*(-4 - j\/8)?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -86 - -81. Let y be 7 - (3 + -4 - x). Suppose 8*v + 4*c = 6*v + 4178, -4*v + y*c + 8312 = 0. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 0 (b) -4 (c) 1\/328 (d) 5 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1171260 and 41228352.\nAnswer: 206141760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.3 - -0.3. Let u = 0.3191 + -0.32. Let c = b + u. Round c to 3 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -99 - -280800024.819?\nAnswer: 280799925.819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 7*h + 212. Let u be z(-30). Let q be (8\/(-20))\/((-1 - u)\/60). Solve 0*t = -4*t - i - q, -8 = -2*i for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - 20, 0 = -4*z - x + 3833 + 94. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 divided by -6?\nAnswer: -37\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.14662678 rounded to three dps?\nAnswer: 0.147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6314 and 616?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((6*(sqrt(1216) + -1) + -5*(-1 + sqrt(1216)))*6*-6*-5)**2.\nAnswer: -518400*sqrt(19) + 39430800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-179814)\/26060)\/((-1)\/(-2))?\nAnswer: -69\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 PM and 11:58 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -8*r**3 + 4*r**2 - 2. Let f(k) = -3 - 5*k**3 - k**3 - 2*k**3 - k**3 + 3*k**2. Let i(o) = 2*f(o) - 3*q(o). What is the third derivative of i(x) wrt x?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17043492?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 + 3*t - 36. Give y(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/12 - (-2 + 40\/12). Let z be 3\/h*20\/(-60). Let t = -1 - 1. Sort -0.2, t, z in increasing order.\nAnswer: t, -0.2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 2 = 5*d, 4*d + 0*k = -8*k + 40. Solve -x = -r, 5*r - 34 = d*x - 46 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -667 + 1017. Round h to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.02 + 0.52. Let f = 0.03 - 11.03. Let c = f + 16. What is the third smallest value in 2\/15, s, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of -y**9\/3024 + y**6\/40 - 5*y**4\/6 - 13*y. Let n(d) be the third derivative of v(d). Find the second derivative of n(a) wrt a.\nAnswer: -60*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -169 + 1936 = 93*i. Calculate the remainder when 53 is divided by i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32331 is divided by 808.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22 - 43. Let y(q) = q**3 + 20*q**2 - 32*q + 78. What are the prime factors of y(h)?\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -170, -170, -160, -134, -86, -10, 100?\n\"Answer: u**3 - u**2 - 4*u - 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 0 - (-2 + 4 + 1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, 3, 4, -3, 0 in increasing order.\nAnswer: -19, -3, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18770*m + 1729*m + 575502 = -1082668 + 141244 for m.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -g**5\/3 + 5*g**3\/3 - 4*g\/3 = 0. What is g?\nAnswer: -2, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 - a - 1. Let k(x) = -5*x**2 - 7*x - 15. Let p(v) = -4*d(v) - k(v). Let r be p(-9). Suppose 1 - r = 5*l. Solve -2 + l = -y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 9*w + 92. What is q(-8)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 + 14*z + 59. What is a(-3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do -609777651 and -609777650 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -6300*y - 6269*y - 2930*y - 6408*y as k*y + q and give k.\nAnswer: -21907","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -797902, -3191613, -7181130, -12766453, -19947582, -28724517, -39097258?\n\"Answer: -797903*p**2 - 2*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6077249428 to the nearest integer?\nAnswer: 77957","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-48)\/(-520))\/((-9)\/(-15)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/168 and -43\/61908?\nAnswer: 123816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u + 3. Let p(y) = -y**3 - 14*y**2 - 14*y - 10. Let x be p(-13). Suppose n = -x*n. Calculate k(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of -t**5\/150 + t**3\/45 - 189*t. Factor k(c).\nAnswer: -2*c*(c - 1)*(c + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.13 and 0.06221?\nAnswer: 0.0080873","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 6. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8371 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1879*o + 91488 = -2077*o - 64737 + 49413 for o.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 7:02 PM?\nAnswer: 7:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/(-16)*((-940)\/(-30) - 30).\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 332, -1\/5, -0.4 in decreasing order.\nAnswer: 332, -1\/5, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ykkkyktkyvyy. What is prob of sequence kv?\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1721, 1726, 1719, 1694, 1645, 1566?\n\"Answer: -x**3 + 12*x + 1710","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.5, -1, -2\/7, 30, -1\/3, -4?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2500 and 901300?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 7*w**2 + 10*w + 1. List the prime factors of t(-4).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**1)**25)**(-21))**(-6) assuming h is positive.\nAnswer: h**3150","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of -x**4\/6 + x**2\/2 + 5*x. Let f = -7 + 4. Let t(o) = -4*o**2 + 1. Let a(z) = f*t(z) + 5*w(z). Differentiate a(y) wrt y.\nAnswer: 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.6784 + -9.636. Let y = q - 0.0424. Which is the third smallest value? (a) 0.3 (b) y (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1781.75744 to the nearest one hundred.\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15657560 and 985.\nAnswer: 985","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*u + 3*u - 3 + 5)*(-62914 - 273*u**2 + 62914) as v*u**3 + f*u + x*u**2 + k and give v.\nAnswer: -2184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 189127223 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 134 and 524074?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 967*a**2. Let l(i) = -24704*i. Determine o(l(g)).\nAnswer: 590148124672*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -124160817 and -1.\nAnswer: 124160817","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of -121*n**7\/210 + n**5\/20 - 18*n**4 + 432*n**2. Find the second derivative of f(d) wrt d.\nAnswer: -1452*d**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 102 and 884?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 111, 1003, 2497, 4593?\nAnswer: 7291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*q - 6, -4*i + 4*q + 24 = 16 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -31 - (26 + 21 + 3).\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(99)*2)\/((sqrt(144)\/sqrt(4))\/sqrt(4)).\nAnswer: -12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, i: 2, k: 7, f: 1, s: 8}. Give prob of picking 1 n, 2 s, and 1 f.\nAnswer: 56\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 y when three letters picked without replacement from {y: 3, l: 1, x: 4}.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-7\/4)\/(x*x*x**(-9)))\/(x*x**(-2\/15)*x)**(1\/20) assuming x is positive.\nAnswer: x**(1547\/300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - y - 90. Suppose -4*l = -10 - y. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 102117 and -0.2353.\nAnswer: 102116.7647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 + 16*y**2 + y + 22. Let b be d(-16). Suppose 2*c + 2*n - 18 = 0, c + 4*n - b = 3*c. What are the prime factors of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*1 + (-1 - 4)*2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -7*u**2 + 16*u - 29. Let t(i) = 17*i**2 - 33*i + 57. Let p(l) = 5*m(l) + 2*t(l). What is p(8)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 170388850.\nAnswer: 2, 5, 3407777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2206.\nAnswer: 2, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2*y - 7. Let k be h(5). Suppose 0 = -k*z - 2*z - 15. What is the units digit of z\/(-3)*(10 - 1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4840 and 80552.\nAnswer: 48733960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 407 + -183. Suppose -30*g + 14*g + x = 0. Let h = 7 + 13. Calculate the least common multiple of g and h.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 157*-4587\nAnswer: -720159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 2 (c) 1263674\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 817 and 437.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yd when two letters picked without replacement from {j: 5, e: 2, d: 3, t: 2, z: 1, y: 7}.\nAnswer: 21\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 349468219 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 638129620*g + 143464908 wrt g.\nAnswer: 638129620","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.043588t in kilograms?\nAnswer: 9043.588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1323) + 5 + sqrt(1323)*-1 - (sqrt(1323)*-2 + -4) - -3*3*(-2*sqrt(1323) - sqrt(1323))*4)**2.\nAnswer: -40068*sqrt(3) + 14865309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -k*r**2 - 2*k*r*t**2 + 16416*k*r*t - 17*r**2*t + r*t**2 + 9*r - 106*t**2 wrt k.\nAnswer: -r**2 - 2*r*t**2 + 16416*r*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-72)\/60)\/((-8)\/15)\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00089262438 to six decimal places.\nAnswer: -0.000893","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -82 + 82.2. What is the third smallest value in 1\/3, 3, m?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 - 51*t + 46. Suppose 0 = 12*k + 411 - 171. What is the hundreds digit of h(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + -53?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - 0. Let v(n) = -7*n**2 + n - 1. Give v(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of f**4\/60 + 39*f**3\/10 + 349*f. Factor v(y).\nAnswer: y*(y + 117)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -623 = -39*z - 1169 for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of l**5 + 357*l**4 + 1831*l**2 wrt l.\nAnswer: 60*l**2 + 8568*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 + n**2 + n + 3. Let m = 0 - 0. Let a be g(m). Solve a = -0*c + c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35459651 a multiple of 1347?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence coz when three letters picked without replacement from {f: 4, i: 2, o: 3, p: 1, z: 1, c: 4}.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (564*o - 100*o**3 - 564*o)*(2*o - 32 + 32)*(-1 + 0 + 3) in the form c*o**4 + n*o**3 + j + d*o**2 + p*o and give c.\nAnswer: -400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 254 less than 245?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -77040880?\nAnswer: -308163520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -16 + -1 - (74 - -2 - 4)\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 2*i**3\/9 + 21720*i**2 - 195746*i\/9 - 8601208\/3 = 0?\nAnswer: -97741, -11, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/2)\/(((-252)\/(-1152)*-8)\/(455\/(-12)))\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.007555036 to four decimal places.\nAnswer: 0.0076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 53*r**2 - 7*r - 1. Let n be u(-3). Let g = n - 1973\/4. Are g and 3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3612509082622 + -358?\nAnswer: -3612509082980","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.25114231 to 4 dps.\nAnswer: -0.2511","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 612 a factor of 91088977?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 87890433 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29\/6 - 11\/2. Put 0.4, i, 1\/16 in descending order.\nAnswer: 0.4, 1\/16, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*399798130.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/((-1242)\/(-81))*(-56)\/(-12)*-1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + -1. Suppose x = -4*z - 173 + 17. Let m = 70 + z. Is m a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 + -11. Let t = 2 + -2. Suppose -r + 5*c + 21 = t, 7 = r + r - 3*c. Put u, -5, r in increasing order.\nAnswer: -5, r, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 38 = -c + 4, -c - 3*z - 30 = 0. Let h = c + 32. Let p = -2928 + 2933. Solve 0 = p*j + 6 + h for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10136555 (base 7) to base 9.\nAnswer: 1534748","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 419965375 is divided by 5761.\nAnswer: 5758","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -339.5 to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24876 and 4837?\nAnswer: 174132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**3 + 2370*c**2 - 281065*c + 1346700.\nAnswer: -5*(c - 268)*(c - 201)*(c - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 696.91 + -698. Let i = c - -1.01. What is the nearest to 0.4 in -1, 2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11.11, -0.3, -141892.\nAnswer: -141892, -11.11, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 13 = 8. Calculate the least common multiple of (-10)\/3 + (-10277)\/(-717) and h.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 PM and 11:30 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t + 4*h - 7302 - 7426, t - 3674 = 3*h. Is t + -1 - (6 - 10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -14, -4, 1516 in ascending order.\nAnswer: -14, -4, 1, 1516","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 r when two letters picked without replacement from {r: 8, k: 3}.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2358 - 2382 = 4*b for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 760993 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15*103.8237.\nAnswer: -1557.3555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + 1*4\/2. Let v be s\/(((-5)\/(-2))\/5). Suppose 17 = 3*w - v. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 1 - 6. Let l be (-3)\/(-1*(2 + s)). Find the second derivative of 7*u**3 - 4*u**3 - l*u + 1 - 1 wrt u.\nAnswer: 18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*c**4 - 3*c**2 + 2*c + 4*c**4 - 2*c wrt c.\nAnswer: 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29009 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-46))\/(((-6255)\/90)\/139)?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = 4*x - 20, 2*f + f = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-78)\/26*(-3)\/(-5)*(-100)\/(-3510)?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 154 and 6964972?\nAnswer: 76614692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*i - 8*i - 96 = 16*i. Solve 10*k = -3*p + 7*k + i, 5*p - k + 28 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1355420, 10843448, 36596674, 86747696, 169429112?\n\"Answer: 1355433*v**3 + v**2 - 6*v - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 5249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -305b48b - 5?\nAnswer: -305b493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnyynynynyyn. Give prob of sequence nn.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) -1.8 (b) -3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 63985 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.3, -4, 2984, -2\/9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 + 12. Let o = 4270\/39 + -328\/3. Let r = 135 - 134.7. Which is the second smallest value? (a) r (b) p (c) 1\/4 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15*64\/80*1?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*a**2 - 8*a**2 - 11*a**2 + 29*a**2.\nAnswer: -21*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 0 (c) -1\/1609 (d) 13650\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 54*h. Let r(d) = -109*d. Let y(b) = -5*l(b) - 3*r(b). Let t(q) = 2*q. Give y(t(i)).\nAnswer: 114*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36956, 73695, 110448, 147221, 184020?\nAnswer: 220851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 37 - ((-4818)\/1606 - 406\/(-10))\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 1, 0.058, -0.7, 0.4?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1116184456?\nAnswer: 2, 139, 1003763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, j: 1, s: 3, l: 3, h: 1, q: 2}. What is prob of picking 1 s and 1 q?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 165*y**4 - y**3 - 295*y**4 - 1 + 158*y**4 - y + 4*y**3 + 2 to the form q + p*y**3 + n*y**2 + i*y + c*y**4 and give c.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 293*o - 572*o + 7812 for o.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of 0*o + 53\/6*o**3 - 6*o**2 - 5\/6*o**4 - 3. Differentiate y(d) with respect to d.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*z - 99 = 34*z. Let y be 3 + z\/(-3) - 7224\/(-36). Let q = 42 - 17. What is the highest common divisor of q and y?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 18*z**3 + 7*z**2 + 4*z - 8. Is c(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -4) + -1 + 1 - 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fbkfouko. Give prob of sequence fu.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, 6, 95, 4.\nAnswer: -2, 2, 4, 6, 95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 333380.8 centimeters in micrometers?\nAnswer: 3333808000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*t - 9*t - t + t**5 + (2*t**4 - 3 + 3)*(-t + 2 - 2) + t - t + 2*t**5 + (t**5 + 2 - 2)*(-1 - 1 + 1) + 1255*t**5 - 789*t**5 - 825*t**5.\nAnswer: -359*t**5 - 4*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -687, -1438, -2215, -3018, -3847, -4702?\n\"Answer: -13*q**2 - 712*q + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/41, 0, 8, 3, 1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 - 9*v**2 + 10. Let r be b(-8). Let z = r - -74. Calculate the remainder when 48 is divided by z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 3*o + 4. Let w(r) = r + 8. Let m be w(o). Solve m*d + 0*d = -2*f + 6, 0 = -4*f + 4 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.06 + 0.28. Let j = h - -0.18. Let g = -37 - -149\/4. Which is the nearest to -0.1? (a) 3 (b) j (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-5)*n*(n\/n**(1\/6))\/n*n*n*(n**(1\/4))**(-1\/37) assuming n is positive.\nAnswer: n**(-965\/444)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5496.652 and 0.2?\nAnswer: 5496.452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 4969465071?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1541960 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -29222459 divided by -3\nAnswer: 29222459\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) -0.5 (c) 9 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 plus -10.04?\nAnswer: -9.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14633?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 4*y - 4, 72 - 58 = -x + 3*y. Solve 0 = x*l + 8, -4*q + 1 = 5*l + 3 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 54114542 + -443?\nAnswer: 54114055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22 - -16) + (-6)\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.7 - 0.3. Let z = -4.028 + 0.028. Let o = z - y. Put 6, 1\/10, o in ascending order.\nAnswer: o, 1\/10, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.35 + 0.15. Let k = -0.7 - 0.3. Let u = 11.3 - 16.3. Which is the closest to k? (a) y (b) u (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.26 - -0.1. Let f = r - -0.22. Let m be -1 + 0 - (-10)\/6. Which is smaller: f or m?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 + 9*v - 12. Let o(m) = 5*m**3 + m**2 - 1. Let n be o(1). Calculate the least common multiple of 8 and j(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*t + w = 71 + 45, -4*w - 43 - 14 - 3 = w - 15 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -454, -885, -1318, -1753?\nAnswer: -2190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -f + 2*f + 10*n + 13*n - 43*n + 19*n - 13, 3*n + 6 = 0 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1b5 - -3?\nAnswer: 1b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -2820, 39, -6, -2, 0 in descending order.\nAnswer: 39, 0, -2, -6, -2820","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 6143 * -30677\nAnswer: -188448811","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 times -14?\nAnswer: -7812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*p**3 - p**3 + 4*p**3 + (1 + 0 + 8)*(7*p - 13*p + 11*p)*(2*p**2 - 6*p**2 + 3*p**2).\nAnswer: -47*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 23\/23*(222\/(-6)*1)\/1\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3\/4 (b) 2 (c) -0.6 (d) 15\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrszxrxsqqxwrrx. What is prob of sequence qxx?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 9*t**2 + 348*t - 38. Give v(-40).\nAnswer: 442","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 29 + -43. Let r be -3*(9\/(-6) - 7\/l). Suppose -5*i - z + 73 = 0, 27 = 3*i - 2*z - r*z. Is 8 >= i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -637453267?\nAnswer: -637453261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 803535, 803542, 803545, 803544?\nAnswer: 803539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/116*(238\/(-51) - -4).\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4195 - -1807. Does 69 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 4 - 2 + 3 - 5 + 1 + (-3 + 0 + 5)*(-4 + 0 + 2) - 2 + 1 - 1 + 0 + 0 - 6 + 3 + 5 - 6)*(-26*d + d - 16*d) in the form r + j*d and give j.\nAnswer: 410","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1013265713\/6240 - 811911\/5. Calculate the common denominator of 64\/21 and m.\nAnswer: 8736","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -4*z**2 + 157*z + 120. Let c be d(40). Solve 0 = -4*t - 9*x + 8*x + 10, -5*t + 3*x + 4 = c for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 161 + -66. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 163451 and 1834933.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -4*q, -2*q - 16 = 2*p + 4. Let w = -10 + 8. Put 0, w, p in descending order.\nAnswer: 0, w, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (46 - 29*r - 46)*(45 + 5 + 1).\nAnswer: -1479*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18445*b = 18418*b + 135 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -2*v**2. Let n(x) = -7*x - 2. Let q(a) = 50*a + 15. Let r = -27 + 25. Let p(k) = r*q(k) - 15*n(k). What is p(l(z))?\nAnswer: -10*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -4*m**2 + 1. Let v(d) = -4*d**2 + 1. Let w(o) = -o**2 - 34*o - 62. Let q be w(-32). Let b(j) = q*v(j) - 3*p(j). Let n(t) = 2*t. Give b(n(a)).\nAnswer: 16*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 - k + 1. Let x = 102 + -74. Let t = -27 + x. Let j(u) = 4*u**2 - 3*u + 3. Calculate t*j(s) - 3*o(s).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 516 + -789. Let n = -273.382 - u. Round n to 1 decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -28a - 438?\nAnswer: -6c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 3455*a + 34597. What is h(-10)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1327 - 1257. Solve x*a = 62*a + 24 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6462.993733 - -6463. Round r to three decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 AM and 3:01 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3049200 and 37352700.\nAnswer: 149410800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or 37\/2?\nAnswer: 37\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*n + 46*n**3 - 2*n**4 + 0*n**4 - 45*n**3 - 8*n to the form x*n**4 + v*n + g*n**3 + o*n**2 + f and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least 37918?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6.275 + -1.275. What is the closest to -1 in n, 2\/9, 13?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g**(-2\/5)*g))\/g*g**(-6)\/g*g*(g\/(g**(-6)\/g)*g)\/(g*g\/g**(6\/7)))**12)**(1\/11) assuming g is positive.\nAnswer: g**(48\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 - 9*t - 14. Let u be c(-7). Factor 2\/3*x**2 - 2\/3*x**3 + 2\/3*x + u - 2\/3*x**4.\nAnswer: -2*x*(x - 1)*(x + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-6))\/o*o*o**(-1\/6)*o*(o*o**(-2\/11))**(-14))**(-42) assuming o is positive.\nAnswer: o**(7217\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add 127 and 61.\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= -1\/69983?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 0)*(15*w + 110*w - 233*w + w - 3*w + 3*w - 5*w + 0*w + 3*w + (-1 - w + 1)*(-2 + 3 + 0)).\nAnswer: -220*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.6 in 0.2, -0.0391, 2\/13?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 - (-2*(-33596)\/(-8) + -4). What is t rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 7 = -s - 45, 13*b - 4*s = 138 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*s + 1 + 35*s + 22*s**2 - 7 - 12*s to the form y*s + o + q*s**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 120010 + 12201?\nAnswer: 202211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67511 (base 9) to base 13.\nAnswer: 17578","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -5*s + 4. Let y be i(-3). Let v(c) = -c**3 + 47*c**2 + 8*c - 365. Let j be v(47). Let g be ((-8)\/12)\/((-1)\/3). Solve 0 = g*x - y + j for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -34*j - 2. Let o be f(-5). Suppose 5*p - o = -8. Suppose -p = -3*k - 0*k - 4*c, 0 = 3*c - 6. What is the remainder when 14 is divided by k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 5*w**3 - 2*w**2 + 3*w - 17. Let l be m(6). Suppose -120*v + l = -119*v. What is the hundreds digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4952501 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: Round -3.267793146 to 1 decimal place.\nAnswer: -3.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2490138 divided by -14?\nAnswer: -177867","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 equal to -25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-78)\/21 + 4\/(-14). Let o(i) = 7*i + 2. Let z be o(p). Let f = 40 + z. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of 3*z**7\/70 + z**6\/8 - 11*z**5\/2 - 45*z**4\/2 + 36*z**3 - z**2 - 878. Solve m(r) = 0 for r.\nAnswer: -6, -2, 1\/3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f - 1. Let s(d) = 7*d + 4. Let q(l) = 3*l + 1. Let c(t) = -3*q(t) + s(t). Let x(p) = -4*p - 4. Let v be x(-2). What is v*c(i) + 3*n(i)?\nAnswer: -2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*u + 152*u = 1774891. What are the prime factors of u?\nAnswer: 113, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4111*k + 8672*k - 6814*k in the form i*k + z and give i.\nAnswer: -2253","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(224) + sqrt(224))\/sqrt(4))\/(-3*sqrt(512)).\nAnswer: sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of m**3\/3 - 5*m**2\/2 + m. Suppose 12 + 0 = 4*u. Suppose 2*w - 3*i = 23, -w + 6 = u*i + 17. Determine v(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1258604 (base 10) in base 9?\nAnswer: 2327428","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 302022 a multiple of 714?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16554 and 1023.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-8)\/(n*n*n*n\/n**(-9))*(n*n**5\/n)**(-8\/5) assuming n is positive.\nAnswer: n**(-29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 206 divide 119937320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*69.\nAnswer: 13.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 14.4.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 + 12. Suppose -4*i - y*i - 9590000 = 0. Round i to the nearest one hundred thousand.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5776576 divided by 4.\nAnswer: 1444144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12 + (-38 - -23) + (4 - -2). Solve -12 = -4*g - 5*j + 13, 0 = v*g + 4*j - 19 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**0)**(-6\/13))**(-24) assuming n is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4009.\nAnswer: 19, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -109, -460, -1059, -2032, -3505?\nAnswer: -5604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of 0 + 21*l + 0*l**2 - 1\/2*l**3. Let o(y) = -10*y**2. Determine z(o(c)).\nAnswer: 30*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 28*k**2*m**3 + 2*k**2*m - 13178*k*m**4 + 27144*k*m + m - 7 wrt m.\nAnswer: 168*k**2*m - 158136*k*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*i + 74 = -340. Calculate the lowest common multiple of 24 and i.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -464 + 468. Solve 2*i = -3*b + g*i - 3, 4*b - 2*i + 4 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4490677559 a multiple of 1076?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.03 + -2.03. Which is the third smallest value? (a) 83 (b) -1 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, y: 1, e: 1, d: 1, x: 1, k: 2}. What is prob of sequence xek?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(114)\/(sqrt(150)*2).\nAnswer: -5 + sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/199832 and 55\/149874.\nAnswer: 599496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 212961 is divided by 21296.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kmkkkkvvvmkvvk. Give prob of picking 1 m and 2 k.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*z - 2*z - 2637. Let n = 376 - z. Calculate the remainder when n is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 10 = 2*b, -b - j + 4 = -3*j. Suppose 2*v + w - 3*w - 26 = b, v - 2*w - 8 = 0. What is the remainder when v is divided by 11 - (0 + (-1 - -2))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34145995 rounded to the nearest 1000000?\nAnswer: -34000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-13172)\/(-14) + ((-25)\/35)\/(-5). Suppose 21*f = 151 + r. Calculate the highest common divisor of f and 676.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 1 - 2*x**4 + (0 + x + 0)*(4*x - 345 - 3*x + 347)*(x**2 + 2*x**2 - 2*x**2) to the form o*x**3 + n + q*x**4 + f*x**2 + l*x and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + i + 6 + 0 = 0, 0 = -3*h - 4*i + 14 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 + 7*p**2 + 6*p - 44. Give n(8).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 690.304545ms in weeks?\nAnswer: 0.0000011413765625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 94*i**2 - 38*i + 1086. Is u(17) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**2 + h**3 + h**2)*(-1 + 2 + 2)*(-2*h**2 + 2*h**2 + h**2) + h + 2*h - 57*h**5 - h.\nAnswer: -54*h**5 + 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, w: 3}. Give prob of picking 1 w and 2 i.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 5*o = -16, -5*o = 2*j - 4*o + 6. Let x = 1 + j. Let a = 79 + -83. Sort x, a, 4 in decreasing order.\nAnswer: 4, x, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 37 = -5. Calculate the smallest common multiple of u and 3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -4*(-1 + sqrt(396) + 2)**2.\nAnswer: -1583 - 48*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -4*k**2 + 5*k - 1. Let i be r(5). Let m = 83 + i. Solve 3 = 8*f - m*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 - 2*b**2 + 3*b - 1. Let r = 28 + -11. Suppose d + 15 = r. Give c(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 478 is divided by (-85)\/(-2) - (-75)\/(-30).\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*-5*1206\/(-1005)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of -3*x**4\/8 - 32*x**2. Let f(w) = 7*w**2. Calculate f(t(v)).\nAnswer: 567*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -614 (base 10) in base 7?\nAnswer: -1535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 + 15*a**2 + 12*a - 19. Let w be d(-14). Let i = 4 + -1. Solve -3 = -i*o - w for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/36566 and 143\/1974.\nAnswer: 767886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 885.\nAnswer: 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(-4)*4 + -3. Let c be (1 - (0 - -1)) + 4. Let q = -109 + 765\/7. What is the nearest to m in q, c, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*f, 3*z + z + 128 = 4*f. Is (-3426)\/z + 2\/(-12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 + 4*j + 5. Let z be i(-4). Factor -2*r**2 - 5*r**4 + 2*r**3 + 6*r**4 - 2*r**z + r**4.\nAnswer: -2*r**2*(r - 1)**2*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 30 from -158684.95.\nAnswer: -158714.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 477*b - 167*b - 5*b - 13420 for b.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1 + 3.9. Let f = -10 + y. Which is the nearest to -1\/4? (a) 5 (b) f (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 2 + 7 - 3*o**3.\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3381 + 5897. What is the greatest common divisor of r and 136?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/117)\/(27\/(-567))*12\/(-14)?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*k - 2*k + 0*k)*(2 - 3 + 2)*(0 - 2 - 8) to the form g*k + a and give g.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 7*a - 133. Give n(18).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tn when two letters picked without replacement from {n: 2, v: 1, t: 4}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ru when two letters picked without replacement from {v: 5, u: 5, r: 1, a: 4}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-32)\/12)\/(1 + 28\/(-21)). Solve -25 = -33*d + j for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2719 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 3*c - 25 = 0, f = -58*c + 56*c + 8 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {y: 8, d: 2, u: 9}.\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004043926 rounded to three decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19*q**4 + 34*q**4 - 18*q**4 - 8*q wrt q.\nAnswer: -36*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 5:59 AM?\nAnswer: 6:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -3*a**3 - 3*a**2 - 2*a. Let v be n(-1). Let j(b) = b. Calculate j(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -2) + -6 + (-6 - -12).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 24714 = 5*o, k - 2*o - 18028 = -5653. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.24111617 and 94343.4?\nAnswer: 94343.64111617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 242 = 5*x - 7*o + 369, -6 = 9*x - 2*o for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 724?\nAnswer: 3620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -181\/65772 and 109\/4536?\nAnswer: 131544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -2.7. Let v be 3\/(-2) + (-2)\/4. Let b be (-60)\/(-88) - (-1)\/v. Which is greater: x or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {h: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 PM and 5:37 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*c + 240 = 7*c - 98 for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c**2. Let i(t) be the second derivative of 0 + t + 3*t**2 + 1\/2*t**3. Let q(x) = 1. Let g(r) = i(r) - 6*q(r). Calculate b(g(d)).\nAnswer: 18*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1602 + 1641. Solve -15*s = -36 - r for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10850629411 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**3*d)\/d**(-2\/9)*d*(d\/(d*d\/(d\/(d*d*d\/(d*(d*(d\/(d\/d**(1\/32))*d)\/d)\/d)))))\/d*d*d**24 assuming d is positive.\nAnswer: d**(7849\/288)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126*m + 5544 = 159*m. What is the highest common factor of m and 2912?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 5*z. Suppose z = 3*l - 10*l - 3444. What is l rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 4*d - d + 30 = 0, 0 = -5*r - 4*d + 29. Let o(q) = -2*q**2 - 79*q + 50. Let j be o(-40). Suppose j*x - 443 = r*x. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-3)\/j*j)**(-3\/38)*j**1*j*j*j**(14\/5) assuming j is positive.\nAnswer: j**(1147\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(20) + sqrt(320) + sqrt(20) + sqrt(20) + sqrt(20) + -3) - (sqrt(320) + 0 + sqrt(5) - (3*sqrt(80) - sqrt(5) - sqrt(5))).\nAnswer: -15 + 81*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 - 4*x - 5. Let c(z) = 74*z - 144. Let v be c(2). Give b(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**2 - 105*l - 102.\nAnswer: -3*(l + 1)*(l + 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26 + 45. Let r = -30 + 19. Let s = g + r. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -29 - -52. Let o = 27 - a. Suppose 0 = 4*j + h - 187, 68 = o*j - 5*h - 101. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 984371700 divided by -6?\nAnswer: -164061950","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of 27*l**5\/20 + 5*l**3\/6 + 42*l. Find the second derivative of w(o) wrt o.\nAnswer: 162*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3 + 12*z**2\/7 - 3*z\/7 - 2\/7.\nAnswer: -(z - 1)**2*(7*z + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 374099?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-3)\/z)\/(z\/(((z**(7\/4)\/z)\/z)\/z)))**(2\/187))**36 assuming z is positive.\nAnswer: z**(-450\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 78\/418789 <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/2348154 and -7\/11460.\nAnswer: 23481540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n**2 - 170 - 17004 + 804 - 3*n**3 - 8623.\nAnswer: -3*n**3 + 2*n**2 - 24993","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.19 rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.388 to 1 decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 12*t**2 + 178*t + 703. Determine m(-5).\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-144)\/45)\/4)\/4*-15.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(132)\/((sqrt(96)*2 + sqrt(96))\/sqrt(8)) + 3.\nAnswer: sqrt(11)\/3 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - 202?\nAnswer: -175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/14)\/(78\/(-182)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (-2 + -4 + 3 + -1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -21, -87, -217, -429, -741, -1171, -1737, -2457?\n\"Answer: -3*b**3 - 14*b**2 - 3*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 + 15*o**2 - 2*o - 30. Let d be h(-15). Let p(v) = v**3 - v**2. Let w be p(2). Solve d = 2*i - 14 + w for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-1) - (1 - 5). Let b(h) = -19*h - d + 10*h - h**3 - 16*h**2 + 3*h. What are the prime factors of b(-16)?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = 4*f - k, 5*k = f - 1348 + 1367 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of -115*m**3\/6 + 602*m**2 + 2*m + 64. What is the first derivative of f(s) wrt s?\nAnswer: -115","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42 - (-6 - 11) - ((4 - -1 - -1) + 1).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23771520 divided by -148572.\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 248319 or 2556?\nAnswer: 2556","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -51.27 - -0.27?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (165\/(-198))\/(20\/6)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 117 and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, t: 7, p: 3}. Give prob of sequence tpt.\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = -2*d - 5, 0 = -d - 4*s + 888 - 884 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-1)*(-9)\/198?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 52614941?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 79654.591 rounded to the nearest 100?\nAnswer: 79700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22 + 32. Let f = y + -7. Let m be (-1)\/(-4) - 57\/36. Put 1, f, m in descending order.\nAnswer: f, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 5, -6 in descending order.\nAnswer: 5, -6, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2.42 * 505.53\nAnswer: 1223.3826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1126, 1128, 1130, 1132, 1134, 1136?\n\"Answer: 2*k + 1124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 377 divided by 1044523?\nAnswer: 377\/1044523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -450 + 226. Let u be 4\/(-14) - o\/441. Let p = -6 - -8. What is the nearest to 0 in u, 0.5, p?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/(-63)*(-189)\/108.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 728?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 4*m = 185643, 38*h - 41*h + 556961 = 4*m. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 54, 44, 48, 72, 122?\nAnswer: 204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g + 2. What is the smallest common multiple of 27 and w(13)?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0110574 to 1 dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -9\/23 (b) -3\/2 (c) 5 (d) -5 (e) -1\/4 (f) -0.3 (g) -1\/366\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 95 - (2 - (-3)\/(-1)). What is the units digit of (-12)\/20 - l\/(-10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002461016 rounded to five decimal places?\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.3 + -4. What is l rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i\/(i*i**(-1\/7)))\/i*i)\/i)\/i)\/i**(5\/3)*(i**2\/i*i)\/((i\/(i*i**(-1)\/i*i))\/i) assuming i is positive.\nAnswer: i**(-32\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1466)\/440 + (-30)\/(-40). Let q = w + 24\/11. Let c = 0 - 5. What is the closest to q in 0, c, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4871656328 and 11.\nAnswer: -4871656317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 0. Let n = -8 - -8.3. Let o = 0.835 + -0.935. What is the second smallest value in p, n, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 3*l = 99, 5*l = -3 - 2. Suppose -4 + v = 4*g. Suppose a = -f - 2 + 4, g*f = a + 34. Is f a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -50 + 32?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1773 = 2*u + 1753 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8591066)\/55 + 24\/20. Round w to the nearest 10000.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 - 26*v**2 + 70*v - 51. Let s be l(23). Is (-889)\/s*(-308)\/(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - (-9)\/(-6))*-90. Let y = -34 - t. What is the remainder when 35 - (15 + 5)\/(-5) is divided by y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2548*w + 1319*w + 1 - 1 - 173*w.\nAnswer: -1402*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 + 6*d**2 + 6. Let n be y(-5). Suppose 3*s = 4*a - n - 14, 5*a + s = 61. 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 i(k) = 2*k**2 + 79. Let s(v) be the second derivative of -4 - 1\/6*v**3 + 0*v**2 + 3*v. Calculate i(s(r)).\nAnswer: 2*r**2 + 79","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 793 a factor of 284906344?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 78746.904 seconds?\nAnswer: 0.9114225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -79 - -88. Suppose -o*v + 11*v - 18890 = 0. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2119 + -2114. Let q(v) = -v**3 + 3*v**2 + 1. Let s be q(2). What is the second derivative of 29*f**5 - 17*f**j - 22*f**s + 4*f wrt f?\nAnswer: -200*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q**4 - 9*q**4 + 9 + 10*q**4 + (2*q + 2 - 2)*(q**3 + q - q) + 2*q + 2*q**4 - 2*q in the form u*q + w*q**4 + z*q**2 + k*q**3 + p and give p.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 23b (base 12) to base 15\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1315, -1312, -1307, -1300, -1291?\nAnswer: -1280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 - (6\/2 - -121). Let h = 64 - 34. Let c be k\/(-6) + (-5)\/h. Solve -u + c = 4*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-3)\/6)\/((-1)\/(-1)). Suppose -2*z + 5*m = 14, 5*z + m - 26 = -7. Let b = z - 5. Is c > b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 5.9. Let k = -3 - v. What is the nearest to k in -3\/2, 5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 108, 2, 5, 0, -39, -494.\nAnswer: -494, -39, 0, 2, 5, 108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 693 and 17262?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of 1\/12*i**4 - 2\/105*i**7 - 3*i**2 + 0*i**3 + 0*i + 1\/15*i**5 - 1\/15*i**6 + 1\/56*i**8 + 0. Let t(f) = 0. What is f?\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of o**8\/336 + 3373*o**7\/210 + o**4\/12 + 601*o**3\/6 - 526*o**2. What is the second derivative of w(d) wrt d?\nAnswer: 20*d**3 + 40476*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 + 25*d + 28. Let i be l(-25). What is the highest common factor of i and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1918733 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11 is divided by 14*(-1 - 12\/(-8))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3895 - 3894.98. Which is the nearest to d? (a) 3 (b) -6\/23 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112 is divided by 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 346 (base 10) to base 15\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*l = 53*l - 32016. Does 14 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -101 + 492. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of 2\/15*g**5 - 34*g**2 - 1\/120*g**6 - 1\/3*g**4 + 0 + 0*g - 1\/3*g**3. Calculate l(6).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -355 + 542. Let q = 256 - k. List the prime factors of q.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 397376*u - 279418 with respect to u.\nAnswer: 397376","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 7*y - 3*y - 3 - 1. Let k be o(5). Let t be (-1)\/(-3)*-3*-3. Solve t*j = -r - 14, -2*r = 4*j + 6 + k for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19929, -53074, -86219, -119364, -152509, -185654?\nAnswer: -218799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 - 5 + 2)*(4 - 2 + 0) + 3 + 0 - 1)*(-3 - h + 3)*(-16 + 11 - 27)*(3 + 2 - 1)*(-4 + 3 + 2) in the form n + o*h and give o.\nAnswer: -256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/((i\/(i\/(i*i**3)*i*i))\/i)*i)\/i*i\/(i**3\/i))**(1\/5)\/((i**3\/i**(-1\/5))\/(i**(1\/7)\/i**(-3\/7))) assuming i is positive.\nAnswer: i**(-92\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36, -33, -30, -27?\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 328 = 17*k + 311 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -3*k**2 - 9*k - 10. Let b(o) = 7*o**2 + 18*o + 20. Let m(g) = -4*b(g) - 9*p(g). Let q be m(9). What is the units digit of 36\/q*(-20)\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -13 + 8841*j**2 + 2 - 8842*j**2 - 9*j. Let s be c(-2). Solve 0*u - 2\/5*u**2 + 2\/5*u**s + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2881471 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhx when three letters picked without replacement from {h: 18, t: 1, x: 1}?\nAnswer: 17\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 435 + -431. Suppose -14*z + 8360 = -j*z. What are the prime factors of z?\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 7*i - 6*i. What is the tens digit of i\/((-27)\/(-84)) - 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 66*z**2 - 721*z - 51. Let t be v(11). Solve 29 = t*j - 33*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(2\/3))**12)**(-21\/5) assuming u is positive.\nAnswer: u**(-84\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 6, 2\/5, 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 46*t**2. Let s = 243 - 259. Calculate the remainder when d(1) is divided by 24*(4\/(-2) + s\/(-6)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - -11032324?\nAnswer: 11032314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -16, 0.3, -0.2 in decreasing order.\nAnswer: 4, 0.3, -0.2, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/(-4) - 5)*(-15)\/4. Solve 0 = -x - 4*x + q for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 313*j**2 - 512*j. Let w(x) = 2*x. What is u(w(g))?\nAnswer: 1252*g**2 - 1024*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -23623 and -216.\nAnswer: 5102568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -13*c - 2. Suppose -5*q + 25 = -o + 7, 4*q - 3 = -3*o. Let r be k(o). Let t = 38 - r. Let u(j) = -8*j**2. Determine u(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 337269.\nAnswer: 3, 19, 61, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7834308683 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = -3*l + 128, -2*i - 18*l + 38 + 21 = -9 for i.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.007 or 4\/223?\nAnswer: -1.007","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 349 is divided by 50?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -258 + 256, 5*l = 5*b - 106845. What is l rounded to the nearest 100?\nAnswer: -21400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 696 and 870?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 14849 (b) -7 (c) 9 (d) -0.3 (e) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2672914.\nAnswer: 2, 1336457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 72.1 - 72. Put -3, b, -4, -0.3 in increasing order.\nAnswer: -4, -3, -0.3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 88, 108, 128, 148, 168, 188?\n\"Answer: 20*i + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 103, -4 in descending order.\nAnswer: 103, 0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5016 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -57*s - 8. Let z be n(6). Let w = 100 + z. What is the common denominator of -29\/11 and 6\/(-27) - w\/18?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/5 + 2185\/475. Solve -4*t + 3*f = 11, m*t + 8*f - 3*f - 29 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-14)\/(-21))\/((-16)\/(-120)). Solve 2*p + k - 7 = 0, q*p - 5*k = -0*p + 10 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = -3*y + 15, -8 = -4*v - 117*y + 115*y for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (100 + 108 - 208 - 78*w)*(2*w**2 - 2*w**2 - 4*w**2) in the form l*w**3 + m*w + a*w**2 + g and give l.\nAnswer: 312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 11\/4 of a gram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(((-2)\/(-6))\/(-1)). Suppose -j*z + z + 46 = 0. Let l = 451 - 384. Calculate the remainder when l is divided by z.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -31*m**3 + m. Suppose -7*k = -3*k + 4. What is the remainder when d(k) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*o = 297*o - 1236 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 432022 is divided by 108002.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 3*x - 27, 3*x - 2*h - 36 = -0*h. Let u = x - 7. Solve -m = -5*y + 24, 0*m - u*m - 5*y + 28 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 376463 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/4)\/(12\/840*-7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t + 9. Let b be j(-6). Let p(c) = c**2 - c - 4. Give p(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -277, -1121, -2527, -4495?\n\"Answer: -281*b**2 - b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 1)*(0*v + 0*v + 2*v**2) - 10*v**2 + 0*v**2 - 4*v**2 + (-3 + 3 - 2*v**2)*(1 + 1 - 1).\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-11) + (-105)\/33. What is the nearest to -0.1 in -4\/7, 2\/15, z?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 2*n - 8 = 2, -25 = -5*n. Suppose r = 5*j - j - 4. Calculate the least common multiple of (2 - 25\/15)\/(1\/6) and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -399, -808, -1239, -1704, -2215, -2784, -3423, -4144?\nAnswer: -4959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 103598*-0.1969.\nAnswer: -20398.4462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-4*(sqrt(44)\/sqrt(4) + sqrt(11))*-6 + -1*(sqrt(11) + -2 + sqrt(11) + sqrt(11) + -5 + -1))**2.\nAnswer: 3024*sqrt(11) + 392995","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 80.40192um to kilometers.\nAnswer: 0.00000008040192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 2*h + 1 = -7, -g - 3*h + 8 = 0. Let q be (65 + g)*(-7)\/(-7). Let a = -45 + q. List the prime factors of a.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 3*t + t + 497, -1969 = -4*z - 3*t. Suppose h - 5*i = 337 - 98, 0 = -2*h - 5*i + z. Does 5 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 19*p**2 + p + 1. Let x be t(-1). Let q be -3 - x\/(-6) - 28\/24. What is the smallest value in q, 2, -0.08?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4 - (1\/4 - (-658)\/168). Let f(s) = -6*s**3 + s**2. Let m be f(1). Which is the third smallest value? (a) -0.5 (b) m (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 20 and 2010.\nAnswer: 40200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -273088559 + 7\nAnswer: -273088552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -6, 3*p - 2*p - 15 = 4*x. Suppose -2*q + z + 72 = 0, 2*z + 10 = -3*z. Let c = 14 + q. What is the highest common divisor of p and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 4*n - 61. What is c(13)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 - 7*g**2 + 3. Let h(t) = 166*t - 325. Let u be h(2). Give a(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -3*b + 66, 93 = -b + 5*b - 3*p. What is the smallest common multiple of -21 + 19 + -1 + b and 6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-886)\/(-264) + 4600\/(-202400)\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 - 30*q**2 + 53*q + 23. Calculate i(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 9, m: 3}. Give prob of sequence smss.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - -10002223?\nAnswer: 10002212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 20\/(-90) + (-94)\/(-18). Suppose 0 = w - u*o - 1, -o - o = 2*w - 26. Is w a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(2\/13)*c)\/c)**(-24) assuming c is positive.\nAnswer: c**(-48\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 q, and 1 u when three letters picked without replacement from zpaqpppaupppus?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 794 = 2*a - 82, -l + 2*a + 180 = 0. Let s = l + -175. Solve -3*o + 2*o - s = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2\/9, -3, -0.5, -0.2.\nAnswer: -3, -0.5, -2\/9, -0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-2) - (2 + -2). Is x + 0 - 8\/(-4) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -65a + -5?\nAnswer: -661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 637052995?\nAnswer: 5, 19, 6705821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1271 a factor of 431352725?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -1. Let h(p) = -1 + 7*p - 4*p - 4*p. Let w(z) = 6*z + 5. Let a(b) = 24*h(b) + 3*w(b). Let o(f) = -a(f) + 6*j(f). Differentiate o(r) wrt r.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*f + f - 1. Suppose 0 = -2*g - f + 5. Let u(z) = 0 + 2 - 5*z + g*z + z. Determine u(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.1 - 1.1. Let t = -1\/24866 - 24863\/74598. Put t, -1, v in decreasing order.\nAnswer: v, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61110871 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 307 + -217. Suppose -l - x = -258. Is 11 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 3:44 PM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -223 + 226. Let t(q) be the second derivative of 0 + 7\/12*q**4 + 0*q**c + q + 0*q**2 - 7\/20*q**5. What is the third derivative of t(i) wrt i?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.11 and -107?\nAnswer: 118.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -3*m. Let p(g) = -4*g + 5. Let w(f) = -5*f + 6. Let r(j) = -6*p(j) + 5*w(j). Give r(d(b)).\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 32355*c**3 + 5*c**2 - c - 2138800.\nAnswer: 97065*c**2 + 10*c - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1090.5 (b) 0.6 (c) -0.3 (d) 2\/7 (e) -4 (f) 18 (g) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11703 (base 8) to base 7.\nAnswer: -20515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**3\/4 - 7275*h**2\/2 - 3528375*h - 1140841250.\nAnswer: -5*(h + 970)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(36)*-1)\/((sqrt(12)*1 + sqrt(12) + sqrt(12))*-1) - (((-1*sqrt(162) + sqrt(162))\/sqrt(9) - sqrt(18))\/(sqrt(12)\/(sqrt(2)*1)))**2.\nAnswer: -3 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/(0 - 2\/2). Suppose -2*r + 19 = 5*x, -2*r + 5*r - x - 3 = o. Suppose 0 = 2*c + r*c - 60. Is 15 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 6*t**3 - 2*t**2 - 2*t - 3. Let z(x) = x**3 + x**2 + 1. Let r(o) = b(o) - z(o). Let y be r(-3). Is 22 a factor of (11\/4)\/((-8)\/y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 6*v - 549 = 0. Let l = v + 55. Let p(x) = 4*x**2 + 9*x + 6. Let b(g) = 3*g - 7*g**2 - 4*g - 1 + 5*g**2 + g**2. Give l*b(k) - p(k).\nAnswer: 2*k**2 - 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1253708?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2277 + -796. Does 58 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.8 + -3.3. What is the biggest value in r, 1, 0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 266 - 250. Let p be t\/40*(-15)\/(-2). Solve -p*i - 6 = -3 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from xxoxoxoxxxxxxxxxxxxx?\nAnswer: 34\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 1624559\nAnswer: -162455.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 142, 466, 1012, 1786, 2794, 4042, 5536, 7282?\n\"Answer: p**3 + 105*p**2 + 2*p + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123445 is divided by 13715.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -5. Is ((-7)\/3)\/(b\/6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*a**2*l + 47*a**2 - 10*a*l - 5*a - 3595761*l wrt a.\nAnswer: -4*a*l + 94*a - 10*l - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*r**3)*(r**2 - 1 + 1) + (-r - 6*r + r)*(0*r**3 + 0*r**3 - 2*r**4).\nAnswer: 10*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 8.959521 years?\nAnswer: 0.008959521","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 4*p**5 + 766*p**4 - 4316*p**3 + 3574*p**2 + 5500*p - 3152 = 0.\nAnswer: -197, -1, 1\/2, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, x: 6, z: 2, l: 4}. Give prob of picking 1 z, 2 b, and 1 l.\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Divide 42 by 3.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 5*p**2 - 18*p - 18. Let l be b(-1). Let s = 1 - -3. Sort l, 0, -2, s.\nAnswer: -2, 0, s, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8873983 - 0.\nAnswer: -8873983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 9:35 PM?\nAnswer: 9:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 114 and 46?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuu when three letters picked without replacement from {u: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 192080 divided by -8\nAnswer: -24010","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2814 times -4365.3\nAnswer: -12283954.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -132965.\nAnswer: 1\/26593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qr when two letters picked without replacement from xqqqruxqqqqqqq.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 180*-431*(-115)\/69. What is r rounded to the nearest ten thousand?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3488545 rounded to four dps?\nAnswer: -0.3489","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 3*u**4 + 243*u**3 + 729*u**2 - 51435*u - 364500 = 0.\nAnswer: -75, -12, -9, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - -1 - -17 - (-469 + 454)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 32942.09m?\nAnswer: 3294209","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10326000 = 518*d - 524*d. What is d rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3141478 or 9424436\/3?\nAnswer: 3141478","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1714 + -1446. What is the smallest common multiple of k and 148?\nAnswer: 9916","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -154.16 rounded to the nearest ten?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -35.82 + 0.82. Let t = -35.2 - j. Which is the fourth smallest value? (a) 0 (b) 3 (c) -2 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 116433 and 612.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 7, -8 in decreasing order.\nAnswer: 7, 1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)*-3)**2 + 3.\nAnswer: 435","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1623, -3004, -4375, -5742, -7111, -8488?\nAnswer: -9879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 232\/(-58) + 6*2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from {k: 5, r: 7}.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -64 - -77. What is the remainder when 77 is divided by y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -b75 (base 14) in base 2?\nAnswer: -100011010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -65, 3, -2\/9, -0.2, 0.\nAnswer: -65, -2\/9, -0.2, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/18 - 2314\/234.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 115 = 3*c + 2*u, -4*u = -3*c + 43. What is the lowest common multiple of c and 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 168\/420*4*3\/(-6).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24305498 or -24305491?\nAnswer: -24305498","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, i: 2, k: 1, u: 1, c: 1, a: 1}. What is prob of sequence ceu?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -6773*c - 4054. What is u(-1)?\nAnswer: 2719","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 7:09 AM?\nAnswer: 9:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -13*c**2 + 11. Let h(m) = -m**2 + 1. Let t(u) = -22*h(u) + 2*w(u). Let j(n) = 4*n**2 - 333*n + 333*n. What is t(j(f))?\nAnswer: -64*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 1. Let u = f + 8. Let g = u + -5.9. Which is the closest to g? (a) 2\/5 (b) -4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3027638 - -3027616.999978. Let h = -21 - a. Let r = 0 - h. Round r to 5 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -22452 or -246962\/11?\nAnswer: -246962\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 10, r: 10}. Give prob of picking 4 r.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 + 4*x + 6. Let z(o) = o + 1. Suppose 2*b - 4*a - 16 = 0, 6*b + 4*a = 4*b. Give b*z(t) - u(t).\nAnswer: -t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 41 = z, -2*g = -z - 4*g - 56. Let m = z + 139\/3. Let o be (-6)\/16*(-4)\/(-6). Which is the nearest to m? (a) 2\/3 (b) o (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -35*h**3 - 78*h - 4. Suppose 3 = -7*o + 6*o. Let z(s) = s**3 - s + 1. Let y(j) = o*z(j) - p(j). What is the second derivative of y(v) wrt v?\nAnswer: 192*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*c - 23386*c**3 - 6*c.\nAnswer: -23386*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/850 and 62106\/(-225420) + 296\/962.\nAnswer: 14450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eq when two letters picked without replacement from {q: 3, e: 2, w: 5, x: 3}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 42 - 23. Suppose -s*l - 230 = -24*l. Calculate the remainder when l is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + -17 + 27 - -35 - (3 + 6).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + -4 - -4) + (1 - 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 12865723.2 and 5.\nAnswer: 12865728.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -23*j - 16. Suppose 6*i + 65 = i. Let o be n(i). Suppose -3*u = 2*v - 3*v - o, 4*v = 2*u - 182. What are the prime factors of u?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 2. Let f be ((-9)\/(-6) - 1)*0. Suppose 0 = u + 3*u - 5*o - 36, -3*u = -5*o - 32. Sort f, u, y in decreasing order.\nAnswer: u, f, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (2 + -2) - (4 + -12).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80*l + 216*l - 48*l - 87*l.\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29.2*410.2286.\nAnswer: -11978.67512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 171411?\nAnswer: 3, 17, 3361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 7:25 PM?\nAnswer: 7:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-29329)\/(-1251) - (240\/15 + 9)\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110483 = -12*w + 109597. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (61 - 82) + (41 - 2).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 - u - 1. Let h(f) = -2*f**3 + 6*f + 6. Suppose 0 = -15*l + 12*l - 18. Give l*s(b) - h(b).\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 27921, 55842, 83763, 111684, 139605?\n\"Answer: 27921*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*i - 8 + 26. Solve -12 - 17*y**2 + 4 + y + 19*y**i - 7*y = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -7, -310, -4, 174 in ascending order.\nAnswer: -310, -7, -4, 0, 174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -8239 (b) -4\/3 (c) 0.4 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + -83?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.04 (b) -1976.4 (c) 5 (d) 3 (e) -4 (f) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9632082?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -6. Let n(b) = -6*b**2 - b + 6*b + 9 + b**2 + 4*b**d. Calculate n(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of i**4\/6 + 14*i**3\/3 + 45*i**2 - 74*i - 1. Factor o(v).\nAnswer: 2*(v + 5)*(v + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*k + 5, -l + 2 = k. Let f = l + 4. Suppose j + 308 = f*j. Calculate the highest common factor of 14 and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 252415?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 4*z - 4 = 0, -13*m + 1 = -16*m - 5*z for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (21 - 1)\/((-22)\/(-77)). Suppose -27 - s = -f. List the prime factors of f.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1745315, 3490625, 5235935, 6981245, 8726555?\n\"Answer: 1745310*i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52) + 2 - sqrt(156)\/sqrt(108).\nAnswer: 2 + 5*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.784177mm to centimeters.\nAnswer: 0.1784177","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d. Let j(a) be the first derivative of 3*a**3 + 9. What is j(h(g))?\nAnswer: 9*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 214\/8*24\/6. Suppose 4*j - i = 21. Factor 0 + 4 - j*u - 4*u**4 + 24*u**2 + 8.\nAnswer: -4*(u - 1)**3*(u + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - 2) + -1 + 7. Let l(u) = -u**3 - u**2 + 3*u. Let c be l(-3). Suppose -c - h = -n. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 470\/9 - (0 - (-6)\/27)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/3*2\/((-24)\/(-54))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 2773, -1\/2, -17, -5, 1\/7 in descending order.\nAnswer: 2773, 1\/7, -1\/3, -1\/2, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of i**5\/60 - i**4\/3 - 83*i**3\/6 + 200*i**2 + 2*i. Differentiate f(m) wrt m.\nAnswer: 2*m - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*h + 9. Suppose -g + 4*g - 62 = 5*d, h*g = 4*d + 99. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-2)\/14*2*(-65 + 37)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hz when two letters picked without replacement from {z: 2, s: 1, h: 2, b: 1}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-1 + sqrt(1539))*6*4)**2 - ((sqrt(1539) + -1)**2*-1 - (2 + (sqrt(1539) - -1*sqrt(1539)))**2).\nAnswer: -41418*sqrt(19) + 3555860","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -3*g - 5. Let r(c) = -c - 7. Let z be r(-5). Let i be o(z). Suppose -2*w + i + 7 = 0. Solve -f = a + a, -w*f + a = 9 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkk when three letters picked without replacement from kffkk.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1739784?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 0.5 (b) -3\/40 (c) -2 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -63*n + 61*n + 68. What is the remainder when n is divided by 14?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -7*m**2 + 13*m + 5. Suppose -p = f + 7, 7*p - 4*f - 10 = 8*p. Let y(x) = 4*x**2 - 7*x - 3. Determine p*q(v) - 10*y(v).\nAnswer: 2*v**2 - 8*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**2 + 0*w + 0*w)*(-28*w**2 + 26*w**2 + 20*w**2) + (-3 + 1 + 3)*(-2*w**3 - w**4 + 2*w**3) - 37*w**4 - 26*w + 26*w.\nAnswer: -56*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 3 (b) 9\/10 (c) -1\/3 (d) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from {b: 2, m: 8}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -155716.13 to the nearest ten.\nAnswer: -155720","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*q**2 - q + 3385 - 813*q**4 - 2*q**2 - 3385 in the form z*q + k + r*q**3 + x*q**4 + y*q**2 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.2 + 4.48. Let q = u + 2.72. Which is the second smallest value? (a) 3 (b) -2\/35 (c) q (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 2*d**2 - 174 - 92*d + 366 - 102 = 0.\nAnswer: 1, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -122405321 (base 6) to base 7\nAnswer: -26050231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 14 + 13. Let v = 12 - r. What is the first derivative of -v + 3*f**4 + 2 + 7 wrt f?\nAnswer: 12*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -57257, -114515, -171767, -229013?\n\"Answer: 3*c**2 - 57267*c + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-263)\/(-5) - 52)\/((-1)\/(-30)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 201020100102110 + 12?\nAnswer: 201020100102122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3)\/48)\/(41\/164) + (-77701)\/(-4). Calculate the greatest common divisor of b and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10370*n + 2*n**2 + 10370*n.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1483742 + 1257444 - 1864102 = 2300*g + 24500*g for g.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 26*s**2 - 16*s**3 + 15*s**2 - 54*s**2 wrt s?\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -l + 142858, 119*j + 2*l = 121*j - 57148. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80676 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*14431.\nAnswer: 57724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72478?\nAnswer: 2, 7, 31, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 118661670 to the nearest integer?\nAnswer: 491","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.307 times -1781.6?\nAnswer: 546.9512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 30 = 5*t, 2*q - 10 = 5*t + 2. Suppose 2*y - 10 = -c + 5*y, -2*c + 5*y = -16. Let b be -2*q\/(-4) + c. Solve -3*u = -b + 13 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 161*n**3 + 53*n**2 + 11*n - 26. Let u(s) = -32*s**3 - 10*s**2 - 2*s + 5. Calculate 2*j(d) + 11*u(d).\nAnswer: -30*d**3 - 4*d**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -176*r + 136*r = 200 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/36400430 and -2\/1358225.\nAnswer: 182002150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33217, -36752, -40287, -43822, -47357?\nAnswer: -50892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -1, -2\/13, -2\/3, 34, 2\/15 in increasing order.\nAnswer: -1, -2\/3, -2\/13, 2\/15, 0.3, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 - 2 - 2*d + 4*d - d. Let p(s) be the first derivative of -s**2\/2 + 3*s + 1. Let f be p(3). What is z(f)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 AM and 1:30 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffyffcccfffycccfyyf. Give prob of sequence yy.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -432, -492, -632, -888, -1296, -1892, -2712?\nAnswer: -3792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -540 smaller than -539?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -6*(sqrt(35) - -6*(sqrt(35) - sqrt(105)\/sqrt(3)))\/((sqrt(56) + (sqrt(56) + sqrt(896) - sqrt(56) - sqrt(56)) + sqrt(56))\/sqrt(8) + sqrt(7)) + -5.\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-153)*4*6\/12?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -210\/11722373 or 0?\nAnswer: -210\/11722373","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4889 + -4902. Suppose 5*a = -7*n + 3*n + 29, -4*a + 24 = 3*n. Is a less than or equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75378911 a multiple of 186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 - 19*v - 52. Give r(-16).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -18*b. Suppose -10 = 3*w - 10. Suppose -g - 1 + w = 2*q, 5*g + 15 = -5*q. Let r(t) = -15*t**2 - 21*t**2 + 34*t**q. Give a(r(n)).\nAnswer: 36*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -709 + 174. Let o = 472.8 + c. What is o rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 1 - 7*w - 2*w**2 + 1 to o*w**2 + k + s*w and give s.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 134719?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 7*i = -2*i - 29, i + 15 = -2*r. Let d be (-137)\/(-9) - r\/(-36). Suppose 27 + d = t. Is t a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 5*(sqrt(432) - -2*sqrt(432)*4 - (sqrt(21)\/sqrt(7)*-3 + -5)))**2.\nAnswer: 24420*sqrt(3) + 924559","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-7195)\/17950 - 1\/(-10). Let q = 18507\/20822 - o. Find the common denominator of 85\/14 and q.\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 155.1 - 155. Suppose 0 = -4*j - 20. Put x, j, 3\/7 in descending order.\nAnswer: 3\/7, x, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9411 = -11*c - 1480. What is the third derivative of -255*g**2 + c*g + 238*g**6 - 721*g wrt g?\nAnswer: 28560*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a. Let w be b(-2). Let m(v) = -v - 32. Let r be m(-12). What is the remainder when 29 is divided by (4\/w)\/((-5)\/r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(66)\/sqrt(6))**2 - (sqrt(1331) + -2)**2.\nAnswer: -1324 + 44*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-9738)\/3752 - (-11)\/44. Let s = -4\/67 - h. Is 3 > s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4527711180 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1522334797?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 4 + (sqrt(1300) - (-2 + sqrt(1300) + 2))*-3)**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -17*v**2 - 66*v - 64. Determine n(-3).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1172 by -586.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 588 + -363. List the prime factors of k.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (32 - 39) + (5 + (-10 - -1) - -32).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -58 + 125?\nAnswer: cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 296897453 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -800*a**4 - 26*a**3 - 1228*a**2 - 6*a. Let n(v) = -4*v**3 - v. Let h(z) = -6*n(z) + t(z). What is the third derivative of h(r) wrt r?\nAnswer: -19200*r - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 4 - 10*k + 3 - 4.\nAnswer: -10*k - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -18. Let a = 4 + 1. Suppose x*i - a*i + 110 = 0. Round i to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 575?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 11809, 50025, 114653, 205693, 323145?\n\"Answer: 13206*p**2 - 1402*p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from {a: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.51 (b) 3 (c) 5.87246\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6779.76 + 6785.759945. Let f = 7.3 + -1.3. Let t = b - f. Round t to 5 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + 3 + -2 + -1 + 19 + -14.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3*c**2 + 3 + 10*c**2)*(3 + 2*c - 3).\nAnswer: 26*c**3 + 6*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1019965)\/(-411) - (-1)\/3.\nAnswer: 2, 17, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zs when two letters picked without replacement from zszszz?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of -o**6\/240 - o**5\/20 - 5*o**4\/24 + 4*o**2. Let n(w) be the second derivative of t(w). Give n(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 5 (b) -5 (c) 0.4 (d) -2.15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8 - -2 - (23 + -17). Let l(v) be the second derivative of 0*v**a - 5\/2*v**2 - 9*v + 1\/4*v**5 + 0 + 0*v**3. What is the first derivative of l(q) wrt q?\nAnswer: 15*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 115\/25 - 3\/5. Suppose -n = i*n. Suppose -w - 5*w + 1122 = n. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*w**3 - 5556*w + 5556*w + 360 + 353 - 688.\nAnswer: -53*w**3 + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -339, -365, -399, -447, -515, -609?\nAnswer: -735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 + (-5)\/(-2))*(59 - 61). Which is the biggest value? (a) t (b) -2 (c) 0 (d) -76\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-3*(4*(sqrt(171) + 0) - 3*((sqrt(171) + 0 - sqrt(171)) + sqrt(171)) - 5*(2 + 2 + sqrt(171))))**2.\nAnswer: 17280*sqrt(19) + 112896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 63253.37 tonnes?\nAnswer: 63253370000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3622 - -50679\/14. Let j be 16\/3236*6\/(-28). Let x = -481427\/67956 - j. What is the common denominator of x and d?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 22*o**3 - 1. Let r = 64 - 65. What is v(r)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 f when three letters picked without replacement from zfflo.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (78*j**3 - 498*j**3 - 179*j**3)*(-2*j**2 - 5 + j**2 + 2).\nAnswer: 599*j**5 + 1797*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17400 = -8*l + 4*l. Suppose -9*n + l + 888 = 0. What are the prime factors of n?\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i - 8. Suppose 5*p + 6 = 3*b, 38 = 5*b - 11*p + 12*p. Give u(b).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(110\/11)*11*4\/2.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 1301?\nAnswer: 1303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qjjqjjmjjmqb. Give prob of sequence qbmj.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15*4\/(-20))\/((-3)\/(-2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of -q**2\/2 + q + 11. Let u(m) = 2*m**2 - 3*m + 1. Let r(b) = -b. Let d be r(3). Determine d*n(i) + u(i).\nAnswer: 2*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/(396\/(-183)) - (3 + -4) and 21\/16?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 y when two letters picked without replacement from yyybgtttgzyttkt.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 + -3)\/((-6)\/(-4)). Let u be 10*1\/q*-5. Solve u = 4*v + v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 594 - 586.17. Let z = v - -0.17. Let h = z + -9. What is the biggest value in h, 2\/7, 0.2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1780521, 3561089, 5341669, 7122267, 8902889, 10683541, 12464229, 14244959?\n\"Answer: m**3 + 1780561*m - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2309 divided by 97.\nAnswer: -2309\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 126 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 8 = 3*u + 10, 8 = -2*b - 2*u. Is 20 a factor of (-793)\/b + 5 - (-4)\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2406251 is divided by 343748?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -101292105.\nAnswer: -4\/101292105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, 1209, 122.\nAnswer: -30, 122, 1209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t. Suppose -2*x - 3*x - 20 = 0. Let g be s(x). Solve -g*o - 19 = -3 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65844.28 millimeters in micrometers?\nAnswer: 65844280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4c8a70 (base 14) in base 7?\nAnswer: 31260000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2 + 5*l + 2. Let m = -33 + 35. Let y(p) = 34*p**2 - 17*p**m - 23*p**2. What is t(y(n))?\nAnswer: -30*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2199*v**4 + 1858*v.\nAnswer: -26388*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - -111000?\nAnswer: 111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*(o\/(o\/(o*o**(3\/7)*o)))\/o*o*((o\/(o**48*o)*o)\/o*o)\/o*o*o)\/(o*o\/(o\/(o*o**(1\/25))*o)*o\/(o*o\/o**(-2\/9))))**(-42) assuming o is positive.\nAnswer: o**(133526\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 160838.6l?\nAnswer: 160838600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 554051 + -255971461\/462. Calculate the common denominator of 17\/2 and s.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(152)\/(sqrt(48)\/sqrt(6)) + 6*(-1 + (sqrt(475))**2))*-6.\nAnswer: -17076 - 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -221.\nAnswer: -22.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -t - 19, -5*w + 0 = 4*t + 1. Let a be (-2)\/w*(-12)\/16*8. Solve -2*i = 4*j + 16, -1 = a*i - 2*j + 1 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1272*k**2 - 399*k**2 + 808*k**2 to the form d*k + a*k**2 + x and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -115 - (-12 - (-2 - -2 - 3) - (448 + -443))?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, -171, 0.08, -0.1, 3 in decreasing order.\nAnswer: 3, 2\/13, 0.08, -0.1, -171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -225 divided by 4891?\nAnswer: -225\/4891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/2 + (-22)\/121 and 49\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 3*g = -21, 30*c + 3*g - 9 = 32*c. Solve 13*t + 10 + c = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 25226615 to the nearest integer?\nAnswer: 293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -7*p + 3. Let k be (-1 - -3)\/((-8)\/(-3) - 3). Let u(z) = z - 1. Let c(i) = k*u(i) - a(i). Let x(s) = s. Determine x(c(h)).\nAnswer: h + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 49265311 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 281.46 to the nearest integer.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 5776.268mm?\nAnswer: 5.776268","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 68258*g - 68244*g - 364 for g.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(85) - -2*sqrt(85)))\/(2*sqrt(80)).\nAnswer: -9*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (378\/(-288))\/(147\/196).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -43*z + 1403. What is c(32)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 87\/88 - (6\/9 - 11725\/11256)?\nAnswer: 15\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3811b57 (base 12) in base 16?\nAnswer: -a76e33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*a + 4*a - 3*a**3 - 11*a - 4*a**2 as z*a**2 + d + i*a**3 + p*a and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 17736 and 13302.\nAnswer: 53208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.188769 minutes?\nAnswer: 11326140000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-8)\/168)\/(0 + (-2)\/(-30)). Suppose 1 = 5*y + 6. Are y and c nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 4\/75?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qe when two letters picked without replacement from qqeqqeesgsqqqgeq?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -33108 - -33109. Sort z, 5, 4, -14, 3 in decreasing order.\nAnswer: 5, 4, 3, z, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8444 + 12375. Let u = -35434\/9 + o. Find the common denominator of -9\/2 and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14 - 15 + 30*z**3 + 2*z**3 - 2*z + 91*z**2 - 29*z**3 in the form j*z + x + g*z**2 + n*z**3 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(1725\/625 + -9 - -6)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*v - 7 + 7)*(-2*v + 2*v + 3*v**2) + (3 - 5 - 2*v + 0*v)*(-5*v**2 + 2*v**2 + 4*v**2).\nAnswer: -17*v**3 - 2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -44, -1.3, 521 in descending order.\nAnswer: 521, -1.3, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m**5 + 24*m**4 + 21*m**3 = 0. What is m?\nAnswer: -7, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6391735 a multiple of 137?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.002021 and -97?\nAnswer: 97.002021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + -1. Suppose -3*w - 29 = 5*g, -g + 1 = -2*w - 1. What is the second biggest value in x, w, 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 7 = 15. Suppose v*s = 16, -l + 3*s = -s + 16. Let y be 1*(-1)\/((-2)\/60). Solve 0 = -2*f + 5*b - y, -4*f + 2*f - b - 6 = l for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8cda32 - -1?\nAnswer: -8cda31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15043?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 20 = 19. What is the nearest to 1\/7 in -2, -2\/5, j?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-90))\/(2\/(-3)) + (-460)\/(-120)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s\/s**(-1\/2))\/((s\/s**2)\/s))\/((((s*s\/s**(-5))\/s*s)\/s)\/(s*s**(-5))))**43 assuming s is positive.\nAnswer: s**(-473\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 159803310 divided by -3?\nAnswer: -53267770","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 207 divide 394956?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8*3*(-10)\/30.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90689 + 90805 - 3*r**2 + 22*r**2 - 181494.\nAnswer: 19*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 319051?\nAnswer: 37, 8623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8132 - -27?\nAnswer: -8107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 - 5896*g - 2903*g + 3.\nAnswer: -8799*g - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-56168)\/2380)\/(32\/48 + 32\/(-30))\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -78804*b**2*w**2*z - 445*b**2*w*z + 2*b*z wrt w.\nAnswer: -157608*b**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - 6. Let c(t) = -4*t**2 - 4*t + 12 + 3*t**2 + d*t**2 + t. What is the least common multiple of c(5) and 12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 26*h**3 + 288*h**2 - 596*h + 48. Calculate n(2).\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s + 1. Let j(i) = 753*i**2 + 1506*i + 1506. Calculate j(z) - 1506*m(z).\nAnswer: 753*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*o - 28*o + 4*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -28160 divided by 2\nAnswer: -14080","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 5*l + c = 56, 0 = 3*l - 4*c - 76. What is the remainder when 37 is divided by l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -68. Suppose 60*j = z*j. Determine c so that -2\/9*c**4 + 0 + j*c + 2\/9*c**3 + 0*c**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 5*t**3)*(133563*t - 66229*t - 66669*t - t**2).\nAnswer: -5*t**5 + 3325*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 e, and 1 l when three letters picked without replacement from {b: 2, r: 2, l: 1, t: 4, j: 5, e: 1}?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 12) to base 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -10, -6 - 14 = -2*y - 2*u. Suppose 4*f - 6*f - 10 = r, -4*r + 12 = -y*f. Which is the fourth biggest value? (a) 1\/2 (b) -2 (c) 5 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-6*(sqrt(832) + sqrt(832)*-1 + 0 + -1 + sqrt(832) + 5))**2 + 4.\nAnswer: 2304*sqrt(13) + 30532","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -253 - -246. Let t(p) = 2*p + p - 5*p - p. What is the remainder when 59 is divided by t(u)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25762360 divided by 74.\nAnswer: 348140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 267 + 45906. What are the prime factors of h?\nAnswer: 3, 15391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*r + 30 - 6 - 7*r.\nAnswer: -3*r + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 - (10\/(-15) + 30\/(-27)). Sort a, -0.4, 2\/3, 2 in ascending order.\nAnswer: -0.4, a, 2\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.860187 rounded to two decimal places?\nAnswer: -4.86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n**7\/n))\/n)\/(((n\/(n\/(n*n**(1\/4))))\/n)\/n) assuming n is positive.\nAnswer: n**(-21\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 32813 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 312 - 309. What is the third derivative of 12 - a**2 + 24*a**3 + 32*a**y + 4*a**4 + 4*a**2 - 64*a**3 wrt a?\nAnswer: 96*a - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 2*v - 127, 4*v + 4*f = -v + 337. Calculate the highest common factor of 39 and v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - 1)\/((-286)\/(-52)). Which is the third smallest value? (a) r (b) 0.3 (c) -7\/18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3870152*p**2*s*v**3 + p**2*s*v - 11*p**2*v**3 + 2*p**2*v - 261*p**2 - p*s*v**2 + 72*p*s*v - 5*p*v**2 - 4*v wrt v.\nAnswer: -23220912*p**2*s - 66*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/((-30)\/(-17))*715\/(-133705)\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 21452340265 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 297, 462, 487, 366, 93?\n\"Answer: -c**3 - 64*c**2 + 364*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 100909 times 0.3444\nAnswer: 34753.0596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, 7, -4 in increasing order.\nAnswer: -4, 2, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/(-952)*(13 - 6)?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*g = 579821 - 581966 for g.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-154)\/44)\/((-2)\/12). Let h(j) = 33*j - 18. Let g be h(2). Suppose -u*w = -17*w - g. Solve -3*c + 0*c = -w for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 2*h - 20 = 0, j - 3*h + 35 = 41 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(110)\/((sqrt(30)\/(sqrt(3)*2) - sqrt(10) - sqrt(10)) + sqrt(10)))**2.\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 + 9*f**2 + 3*f + 1. Is g(7) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -575379, -575375, -575369, -575361, -575351, -575339, -575325?\nAnswer: -575309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 1:13 PM?\nAnswer: 7:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 w when two letters picked without replacement from {w: 1, q: 3, c: 1, k: 1, v: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -2*c**2 - 10*c - 4. Let b(d) = d. Let f(m) = 3*b(m) + s(m). Let h be f(-4). Let v = 33 + h. Solve q = -2*x + 9, -5*x - 2*q = 3*q - v for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m + 4. Let z be i(-9). Let h(r) = r**2 + 3*r - 3. Let c be h(z). Suppose -c = -d + 25. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f + 67 = 265. Calculate the greatest common factor of 231 and f.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -162, 140, 922, 2412, 4838, 8428, 13410, 20012?\n\"Answer: 38*x**3 + 12*x**2 - 212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4767.140487 - -4766.08. Let v = 1.06 + z. Round v to five dps.\nAnswer: -0.00049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -0.1, 71, -3, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 120153 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 162693032 and 4343746.\nAnswer: 1789623352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 - -8. Let m(c) be the first derivative of c**4\/4 - c**3 + 2*c + 1. Let z be m(3). Sort t, -1, z.\nAnswer: t, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10487.\nAnswer: 10487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 4*z - 287 = -2*k, -4*k = -4. Suppose -4*x - 32 = 2*q - 114, -3*q = -4*x + z. Solve 0 = -g - 4*d + x, 3*g - d - 4*d = -14 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -102, -203, -306, -411?\nAnswer: -518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 15*v**2 + 17*v + 15. Let o(h) = 7*h**2 + 8*h + 7. Give 13*o(s) - 6*t(s).\nAnswer: s**2 + 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 17 = -2*i + 3*g, 0 = 3*i + 4*g - 33. Suppose -200 = 2*c - i*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: Suppose 0 = 8*s - 10*s + 112. Let w be 65\/10 + (-2)\/(-4). What is the highest common divisor of s and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37704185?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -103 - -103. Let a(x) = -2*x + h*x - x + 2*x. Let o(d) = d**2 + 4*d - 2. Calculate 4*a(n) + o(n).\nAnswer: n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3284406791 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f. Let l(v) = 7*v - 1. Let p = -28 - -27. Let y(d) = p*l(d) + 6*r(d). Let j(g) = -g + 4. Determine -j(s) + 4*y(s).\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2\/4*(108\/(-8))\/9\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(605) - sqrt(5))**2 + sqrt(5) + (sqrt(180) + 2)**2 - ((((sqrt(165)*-2)\/sqrt(3) + sqrt(55))\/sqrt(11))**2 + -1).\nAnswer: 45*sqrt(5) + 681","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000138778 to seven decimal places.\nAnswer: 0.0000139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - 2) + -1*6. What is the units digit of 141\/5 - m\/(-30)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(((-51)\/(-420))\/(-17)). Suppose l = 15*m - 175. Is m a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 41 = -6*z. Let c = -38 - z. Suppose -2*l = -3*l - 3*b - 6, -2*l + c*b = -6. Solve i - 2*i - 5 = l for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.984 rounded to one decimal place?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4*-3*(-6)\/(-36). What is the first derivative of 53991*z**2 + 45*z - 53991*z**2 + 93 + s*z**4 wrt z?\nAnswer: 8*z**3 + 45","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31025 = -63*y - 11878. Let u = y + 782. Calculate the remainder when u is divided by 28.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/10)\/((-1)\/2). Let n be ((-21)\/56)\/((-6)\/(-24)). What is the biggest value in h, -3, n?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*(p\/((p\/(p\/(p\/((p\/p**(-1))\/p*p))))\/p))\/p)*p)**(2\/77)*((p*p\/p**(-2\/9)*p)\/p)\/((p**9\/p)\/p*p) assuming p is positive.\nAnswer: p**(-4022\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + 11 - 14. Let h(g) = 6*g**2 + 1 + 2*g - g - 2*g**2. Suppose 19 = -2*w + 3. Let v(m) = 11*m**2 + 2*m + 2. Determine a*v(b) + w*h(b).\nAnswer: b**2 - 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3029)\/(-91) + (-2)\/7. Let v = 38 - i. Solve 3*j = 0, t + v*j - 2 = 7*j for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 5227, 10455, 15683, 20911?\n\"Answer: 5228*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 255 - -200. Let j = -455.0000319 + w. Round j to 6 decimal places.\nAnswer: -0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 8 = -0*j. Suppose 5*r = -j*g + 53, 2*r + 25 = 7*r. Suppose p + b - 11 = 0, p + g*b = 2*b + 31. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 40*t**3 - 12*t**2 - 8*t + 58. List the prime factors of q(5).\nAnswer: 2, 7, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 420382*a*i*u + 3*a*i + 5*a*u + 63351*i + 96*u wrt a.\nAnswer: 420382*i*u + 3*i + 5*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 AM and 5:33 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-2\/7)*v**3)**12)**19 assuming v is positive.\nAnswer: v**(5928\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 17177972*r**2 - 244060 wrt r.\nAnswer: 34355944*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (16\/6)\/(8\/12). Suppose 5*c - 10 = -o*t, -2*t - 2*t = 0. Let r be c*-2*(-15)\/(-12). Is r > -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -360, -833, -1402, -2067, -2828?\nAnswer: -3685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2271.81 + 2283. Let q = r - -0.01. What is q rounded to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1\/21 - -2\/7. Let n(v) be the second derivative of 1\/6*v**4 - b*v**3 + 0*v**2 + 2*v + 0. What is the second derivative of n(d) wrt d?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r + 38*r + 4*r.\nAnswer: 43*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyf when three letters picked without replacement from {y: 15, f: 3}?\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 494\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 111588360 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 + 2*p - 48. List the prime factors of x(-14).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11104 and 787312.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 37540 and 26278.\nAnswer: 262780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4852?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104 = 4*b - 4*p, 37 = 2*b - 3*p + 4*p. Suppose -6 = -d + 3*k, 145*d - 2*k - 24 = 143*d. Calculate the smallest common multiple of b and d.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w + 4*w**3 + 12673*w**2 - 12673*w**2.\nAnswer: 4*w**3 - 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -1. Let c(t) = -6*t + 3. Let v(m) = c(m) + 3*w(m). Suppose 8*s = 771 + 757. Let h(o) = 191 - s + 2*o. Determine h(v(n)).\nAnswer: -12*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**2 + v**2 - 4*v**2)*(-2 + v + 2) + ((0*v + 3*v - 5*v)*(4 - 2 + 0) + 0*v + 5*v + v)*(2*v + v - 4*v)*(-3*v + 5*v + 3*v).\nAnswer: -11*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -33*n - 44. Let f = -32 + -78. Let o be 4*f\/(-4)*(-6)\/(-15). Let t(m) = -m - 1. Let i(s) = o*t(s) - r(s). Let h(c) = 2*c. What is i(h(d))?\nAnswer: -22*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 119c4b (base 14) to base 2.\nAnswer: 10010011010011011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.1 times -24257.2?\nAnswer: -50940.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 - 74*z**2 - 123*z + 14289. Give q(73).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -42*b + 852 + 632 - 266 for b.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8414 is divided by 696?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 30102 (base 9) in base 4?\nAnswer: 10310312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 356360 and 106200?\nAnswer: 2360","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -128 + -3053182276\nAnswer: -3053182404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138519126 is divided by 147.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kklllbbltlklklllblt. Give prob of picking 2 b.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) - (sqrt(18)*-2 - sqrt(18)))\/sqrt(9) + 2.\nAnswer: 2 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-29 - -40) + 10 - (-1 - 3)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25310*m**2*q**3 - 5*m**2*q**2 - 27*m**2 - m*q - 4*q**2 wrt q.\nAnswer: -151860*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6983*s = -148877 + 581823 for s.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3091*a**3 - 6571*a**2 + 223544723*a wrt a?\nAnswer: 18546*a - 13142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*(v\/v**(-2\/3))\/v)**(-1\/83) assuming v is positive.\nAnswer: v**(-5\/249)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9617 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 396 or 416829\/1054?\nAnswer: 396","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 20, 76, 174, 320, 520, 780, 1106?\n\"Answer: d**3 + 15*d**2 + 4*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-38)\/(-16) - 2 - (-37)\/8\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 7*q**2 - 5*q**2 - q**2. Let c(n) = 2 - n + 31*n - 30*n - 54*n. What is c(v(i))?\nAnswer: -54*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 74*b**3 + b**2 - 1. Let m be y(1). Let z = -45 + m. List the prime factors of z.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 7 + 0 = -y, y - 2 = 0. Suppose -669 = 6*t + 1041. Let p = -297 - t. Is p less than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*d = 1124 + 8340 for d.\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45*0.13.\nAnswer: -5.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 10 = q + 3*o, 4*q = -2*o + 28. What is the tens digit of (q\/(-5))\/((-2)\/230)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 4*l - 5580 = 0, -3*p + l + 2928 = -1273. List the prime factors of p.\nAnswer: 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3548, -218, 86, 5 in decreasing order.\nAnswer: 3548, 86, 5, -218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of -j**4\/24 + j**3\/2 + 14*j**2 + 36*j. Let a(x) be the first derivative of n(x). What is a(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t**(-4\/15)*t)**38\/((t**(1\/9)*t)\/(t\/((t\/(t\/(t*t*t*t\/(t*t*t\/t**(-2\/81)*t))))\/t))) assuming t is positive.\nAnswer: t**(42436\/405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of 2*z**3 + 25*z**2\/2 + 6*z + 84. Let x be k(-4). What is the biggest value in -2\/3, x, 4\/11?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 757595?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -7.5, 4, 0.1, -0.202?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 + (8 - (9 + 8 + -7)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -2 - (0 + 2 + 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -60? (a) 1\/4 (b) -0.5 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4\/1*(-9)\/36\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*g = 49 + 31 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-196)\/(-16) - (-3)\/(-12). Let d(m) = -11*m**3 + 2*m**2 + m. Let o be d(-1). Is o <= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2874762)\/27)\/((-2)\/(-3)) - 3. Is 22 a factor of s\/(-119) + -1*(-4)\/(-34)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*r = -b - 3, -r + 4*b = -15*b + 20*b + 11 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -640*d - 35987*d**2 + 640*d.\nAnswer: -35987*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/5, 1431\/40, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 5*b + 45 = 0, 2*b = 3*i - 2 - 0. Suppose i*z = 10 + 10. Let s(v) = 4 - v + 0 + 3. Give s(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*4\/234)\/(1\/(-3)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (306\/(-136))\/((-6)\/32). What is the third derivative of -f*w**2 - w + 4*w**3 + 0*w + 112*w**4 - 103*w**4 wrt w?\nAnswer: 216*w + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11 * 15269.\nAnswer: 167959","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.21 + -1.71. Which is the closest to -3? (a) u (b) 0.4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 643800019*t**3*z**2 + 1742*t**3*z + 6*t**3 + 2*t**2*z + 4*t**2 - 6*z - 2 wrt z?\nAnswer: 1287600038*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.4 (b) -0.032 (c) -4 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 + 41*z - 330. Let v be a(11). Let s = -28 - -30. Put -2, s, v, 1 in decreasing order.\nAnswer: s, 1, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17.049 - 17.96. Let b = 0.089 - f. What is the second smallest value in -0.19, b, 0.2, -0.5?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 278345?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*k - 389 = -60. Let y = 8 - 3. Let r = -4.8 + y. Which is the nearest to r? (a) k (b) 0.4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/5)\/u**5)\/((u\/((u\/(u\/u**(-3)))\/u))\/u**6) assuming u is positive.\nAnswer: u**(-18\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3614373402?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-167)\/(-3) + (-6)\/9. Calculate the highest common divisor of m and 935.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -292 and -1.\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61969 - 61972 + 123941 + 9*g**2.\nAnswer: 9*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 12:02 AM?\nAnswer: 4:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 23*g**2 + 44*g + 189. Let y be t(-5). Let f be ((-18)\/8)\/3 - (-1496)\/y. Factor 2\/9*d**f - 1\/3 + 5\/9*d.\nAnswer: (d + 3)*(2*d - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -131 + 2*t - 135 + 266.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-130)\/52*(-2)\/(2*5)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2 - 14 + 8*s - 11*s. Let q = 20 + 33. What is the remainder when q is divided by x(-13)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7 + -26092?\nAnswer: -26085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 divided by 1?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 235683639 to the power of 1\/3, to the nearest integer?\nAnswer: 618","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (-20 + 13)) + -55 + -3?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 16*p**2. Let k(y) = -181*y. What is k(u(a))?\nAnswer: -2896*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.828002152 to 4 decimal places.\nAnswer: 0.828","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 93 by 1261.\nAnswer: 93\/1261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*x + 0*x**2 - 66*x - 34*x**2 + 23*x + 23*x.\nAnswer: -34*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1082351?\nAnswer: 1082351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 - 6*g - 5. Give k(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1220847 by -1.\nAnswer: -1220847","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -4*s. Let g(l) be the first derivative of 2 - 1 + l**2 + 0 + 0. Calculate g(n(o)).\nAnswer: -8*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 66 and 29656?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.17728 + -2.82272. Let l = 5.9 + -2.6. Let r = 3 - l. What is the closest to 1 in 1\/10, s, r?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 - 15*d + 5. Let x be i(5). Let 34*y - x*y**2 - 21*y + 37*y + 5*y**3 = 0. What is y?\nAnswer: 0, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12784.39670523 + -7?\nAnswer: 12777.39670523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 57736039 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*t**2 + 3*t**2 - 2*t**2)*(-2 + 1 + 2)*(0*t + 3*t - 4*t) to o*t**3 + c*t + p + q*t**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -41*g. Let c(v) = 35*v. Let y(z) = -6*c(z) - 5*r(z). Let k(d) = 7*d. Calculate y(k(f)).\nAnswer: -35*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 56363?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/44025 and -73\/33.\nAnswer: 484275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + 442012011?\nAnswer: 442012012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 11735e (base 15) in base 14?\nAnswer: 17a113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -67646, -67596, -67546, -67496, -67446, -67396?\n\"Answer: 50*x - 67696","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1367 to the power of 1\/2, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23104 to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 444304 (base 5) to base 9\nAnswer: 23330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qiqiqqr. What is prob of picking 1 i and 1 q?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (0 + sqrt(192))**2*2.\nAnswer: 387","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/928619 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -bb5 (base 15) in base 9?\nAnswer: -3558","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/2669194 and 21\/242654.\nAnswer: 2669194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - -1)*20\/15. Suppose 5*l - 118 = t*p, 4*l + 3*p = -l + 104. Calculate the smallest common multiple of l and 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 7:41 AM?\nAnswer: 12:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 - -1 - 15\/(-2))*(-68)\/(-1). Calculate the highest common divisor of d and 119.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(26)\/(sqrt(10)\/sqrt(5)) + 4)**2 + 3 + 5 + 1*sqrt(117)*-2.\nAnswer: 2*sqrt(13) + 37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20196 and 4784076.\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -95*n + 1051 with respect to n.\nAnswer: -95","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 228\/((-2)\/(-1))*(-26)\/(-16016)*-11*4.\nAnswer: -57\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6495 by 3.\nAnswer: 2165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-54)\/24)\/((-9)\/12).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52853 + 153447 = -6440*d - 165924 - 7736 for d.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11004 divided by 11004?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10)\/(-14) - (-4524)\/(-3276). Let s = 0.5 - -0.2. What is the fourth biggest value in s, -0.5, m, 1\/9?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6356979 is divided by 1340?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66) + 1*(sqrt(66)*2 + sqrt(66) + sqrt(66)))*4)\/(-3*-4*sqrt(96) - sqrt(96)).\nAnswer: 5*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-54520)\/2465 - -2*1\/17.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*6\/3 + 1. Let r be (1 - (1 - g)) + 3. Solve -5*v - 2 = -l - 22, -r*v + 25 = 3*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -5*d**3 + 8020*d**2 - 63900*d + 95760 = 0.\nAnswer: 2, 6, 1596","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005 minus 265?\nAnswer: -265.005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of 0*t**3 - 1\/20*t**5 - 1\/64*t**6 - 1\/560*t**7 - 4*t**2 - 1\/16*t**4 + 0*t - 1. Factor n(b).\nAnswer: -3*b*(b + 1)*(b + 2)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91331 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 10 - 10 - (3 + -3 + 3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 9:54 PM?\nAnswer: 9:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 5 (c) 24 (d) 1 (e) -0.26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1419205 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*f = -166 + 280 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 252*p**2 - 468*p. What are the prime factors of d(7)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.000021601 rounded to five dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t**2 + 2*t**2 + 3*t**2)*(-2*t**2 + 3*t**2 + t**2) - 14*t**3 + 17*t**3 - 6*t**4 - 6*t**3 + (0*t**2 - t**2 - t**2)*(-t + t**2 + t).\nAnswer: -4*t**4 - 3*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 + 6*k**2 - 8*k - 4. Let v(u) = 11 - 6*u**2 + 3*u**2 - 11*u + 4*u**2. Let m be v(9). What is the units digit of f(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 AM and 3:22 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 2 m when four letters picked without replacement from dmmchmcaajcj?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 2*k = 5*l + 67, -k + l = -23. Let w = 21 - k. Suppose -o - 36 + 12 = -4*y, -y - o = -1. Which is the nearest to 2\/5? (a) y (b) w (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25158 is divided by 3107?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + (27 - 18 - 1) - -33.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5 - -2)*-1 + 1. Suppose v - 8 - 7 = -x*z, -v + 3 = 0. Suppose -3*g + 8*m = 3*m - 92, -94 = -z*g + 4*m. Is g a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3698.364 - 1.\nAnswer: -3699.364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1636*s + 6539 + 4909 = 267*s - 15932 for s.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -56 by -56.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -14\/1569 and -67\/27?\nAnswer: 14121","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = -2*q + 2*x, 100*x - 18 = -q + 103*x. Let j(c) = -3*c + 132. What is j(q)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that x**2\/3 + 186682*x\/3 - 684541 = 0.\nAnswer: -186693, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -449716, -899508, -1349300?\nAnswer: -1799092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42420232 is divided by 2260?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -2 + 9 + (-74 - -13) + 61\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3 - 60*g**2 + 546*g - 1352.\nAnswer: 2*(g - 13)**2*(g - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -151412 to the nearest 1000.\nAnswer: -151000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 6944400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((4845\/(-2584))\/((-5)\/39926))\/((-2)\/(-8)).\nAnswer: 3, 19963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 177 = b - 5*t, b + 3*t = 181. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 333217.\nAnswer: 17, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2419733 is divided by 403287?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1794291264 to the power of 1\/2, to the nearest integer?\nAnswer: 42359","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 27*k - 36. Calculate the lowest common multiple of l(2) and 27.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (28368\/(-16548))\/(4\/154)?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 + -154.7?\nAnswer: -180.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -4*y**2 + 6*y. Let a(h) be the second derivative of h**4\/12 - h**3\/6 - h. Let u(x) = -2*a(x) - p(x). Find the second derivative of u(b) wrt b.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12\/9*75\/(-20). Which is the closest to 0.03? (a) -0.4 (b) 5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 54*i**2 - 12*i - 985. What is the units digit of g(-22)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -66 - -204. Does 10 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.822 times 5?\nAnswer: -19.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 - 4*g**2 + 2*g - 5. Let w be r(-5). Suppose -72*u + 80*u - 32 = 0. Find the first derivative of -x**4 + 15*x**u + w - 25 wrt x.\nAnswer: 56*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 7\/612?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {c: 1, b: 1, a: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 91a71 + 27?\nAnswer: 91a98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 22000000 to the nearest one million.\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h + 1 + h - h + (-2*h + 4*h - h)*(5 - 39 - 28) to u + q*h and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 133222222 (base 4) to base 15.\nAnswer: 28671","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*z + 711 = -3241. Let n(v) = 16*v - 2. Let m be n(5). What is the highest common divisor of m and z?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10221 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 88 times -1717\nAnswer: -151096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -0*z + 3*z - 9, 4*z + 14 = 2*b. Suppose b*g - 2 - 7 = 0. Suppose -4*r = -g*r - 112. Calculate the highest common factor of 14 and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*u + 86*u - 2*p - 86 = 0, -3*u - p + 101 = 0. Solve -590*a = -599*a - u for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 22 = w, -2*w + 96 = -0*w - 3*u. Let v(d) = -3*d - 21. Let o be v(-9). Calculate the greatest common factor of o and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.222 to one dp.\nAnswer: -8.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -42 + 50 + (-2 - (10 + 3))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5416081 + -12?\nAnswer: 5416069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gntn when four letters picked without replacement from dgddgngdtnt.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from {e: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 626727?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 316 - 1263\/4. Let i = 691\/11 + -63. Which is the nearest to 2\/3? (a) 0.5 (b) j (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 2569 = 5*a, m - 2*a - 1265 = -6*a. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 48210 - 24959. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 704 or 61625?\nAnswer: 704","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*(0 + 4 + 2). Let x be 1\/d - (-309)\/18. Are 116\/7 and x equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*o = -78*o + 6 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -9005 to the nearest 100.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 125 divided by -6.\nAnswer: -125\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -191, -326, -461, -596, -731, -866?\nAnswer: -1001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.06848 and 1223963730.\nAnswer: 1223963730.06848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of u**6\/20 + 9*u**5\/40 - u**4\/8 - 3*u**3\/4 - 38*u. Factor g(r).\nAnswer: 3*r*(r - 1)*(r + 1)*(r + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 14 = -4*b, -b - 4*b - 16 = 2*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4184096*b**2*m**3 + 468*b**2*m - b*m**2 - 438*b wrt m?\nAnswer: 25104576*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8 - -4)\/((-1)\/(-4)). Calculate the greatest common factor of q and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -6\/11 (b) 0.8 (c) 3 (d) -8\/67 (e) 1\/2 (f) 4\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**2)**2*b*b**14*b*b*b**(-4\/5)*b*b*b assuming b is positive.\nAnswer: b**(116\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**4 + s**4 - s**4 + (-4*s**4 + s**4 + s**4)*(3 + 15 - 7) + 0*s**3 + 0*s**3 - 2*s**4)*(-4*s - 6*s + 2*s).\nAnswer: 184*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4862*w = 4867*w - t + 183, -5*w - 2*t - 189 = 0 for w.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -363*g - 1407*g + 5823 - 513 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -21 - 21. Let w be 183\/(-12) - 9\/12. Let t = 36 + w. What is the smallest common multiple of t and a?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9353 is divided by 1551?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - -8. Suppose 0 = 13*f - z*f. Suppose -3*w - 9 = f, 27 = 3*x - 0*x + 3*w. Calculate the remainder when 33 is divided by x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 979757512?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/2 of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22 + 22.17. Let g = 0.139 - c. What is g rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-17 - -12)*(-4)\/10. Suppose -4 = 4*h, 3*p - o*h = 22 + 31. Let v(c) = c**2 + c + 2. What is the remainder when v(5) is divided by p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1171 divide 54520037?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.02 or 0.91557?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b = b + 35. Suppose -2*l - 11 = b. Let g(z) = -2*z - 12. Give g(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -105.34 + 105. Let y = r - -0.84. Suppose 5*p - 7 = -2. Put 0.8, p, y in decreasing order.\nAnswer: p, 0.8, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 7*n**2 - 8*n + 67. Determine y(6).\nAnswer: 271","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*h**3 + 119*h + 11*h**3 - 119*h.\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 956535.1 milliseconds in seconds?\nAnswer: 956.5351","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of 0*q**3 + 1\/60*q**5 + 0*q + 1\/24*q**4 + 0 - 10*q**2. Let p be t(0). Solve 0*g - g = p for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -14 + 9*k**2 + 0*k**3 + 2 + 3*k**3 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 127080 and 279576.\nAnswer: 1397880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -1.7, -5.59917?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 72?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/y**(18\/7))\/y*y*y**23*y)\/((y\/(y\/((y*y\/(y\/((y\/(y**(2\/23)*y))\/y)*y))\/y)))\/(y\/(((y\/(y\/(y**(2\/65)\/y))*y)\/y)\/y))))**(7\/9) assuming y is positive.\nAnswer: y**(95876\/4485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 9 - z)*(-36 + 8 - 31).\nAnswer: 59*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 9:28 AM?\nAnswer: 7:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -5*z + 2. Give k(-8).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of -110*a**3\/3 - 142. Let i(s) = s. Determine b(i(x)).\nAnswer: -110*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -13799500 to the nearest one million.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(425) - (sqrt(17) - 2*sqrt(425)))**2 + (sqrt(1088) + -1)*6.\nAnswer: 48*sqrt(17) + 266","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000070730943 to 5 dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -957575*o**2 + 248*o + 181 wrt o?\nAnswer: -1915150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2579750.24069 - -894\nAnswer: -2578856.24069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(117)*-2)\/(sqrt(81)\/(sqrt(9)*1)) - ((sqrt(156) + -1*sqrt(156))*-1)\/(sqrt(72)\/(-2*sqrt(6))).\nAnswer: 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2 and 269255762?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 14*b**2 + 4006*b + 16076. Determine k(-282).\nAnswer: -280","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(4)\/(sqrt(50) - sqrt(2)).\nAnswer: -sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.11 + 3.89. Let d = 145 - 140. Put -0.04, n, d in ascending order.\nAnswer: -0.04, n, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 + 7*i**2 - i - 5. Let z be m(-7). Suppose 2*h + j = 0, -z*j + 4*j = h + 10. Let f be (-1 + (-2 - h))\/(-1). Sort -4, f, 5.\nAnswer: -4, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4002, 1, -110 in ascending order.\nAnswer: -110, 0, 1, 4002","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (48\/(-16))\/((-3)\/218). What are the prime factors of (259\/74)\/(1\/h)?\nAnswer: 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.4 (b) 14640.5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -30*p**2 + 10*p**4 + 5088*p + 5*p**3 + 5079*p + 10 - 10162*p.\nAnswer: 5*(p - 1)**2*(p + 2)*(2*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-123)\/11 + 1 - (-767 - -757).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 863*m + 496*m + 50 + 30 - 80.\nAnswer: 1359*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29*v**2 + 254 - 509 - 35*v**2 + 264 to y + h*v + p*v**2 and give p.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -78603 divided by 11229?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 70*g**2 - 2*g. Suppose p + 9 = -8*p. Let d be r(p). Let n = d - 76. What is the nearest to 0 in n, 1\/5, -1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11568540 or -11568536?\nAnswer: -11568536","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -24*a - 485. Let b be k(-21). Solve 306*x - 287*x = b for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-22) - 288\/(-132). Differentiate -49*q**2 - 32 + 7 + 68*q**t with respect to q.\nAnswer: 38*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 62, -4, 3.\nAnswer: -4, 3, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 - -1 - (10 - 12). Let u(t) = -2*t + 7. Let q be u(0). Let d = q - w. Solve -5*v - i - 5 = 0, 0*v + 1 = -v + d*i for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 2*w - 3226 = 0, 6431 = 8*b - 3*w - 0*w. Does 35 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2*t - 3. Let z(c) = -c**3 - 4*c**2 + 4*c - 7. Let v be z(-5). Let i be d(v). Is i != 3\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 253.66?\nAnswer: -25.366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -4467707 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*o + 0*o + 2*o**2)*(-5 + 2 + 2) + 16*o**2 + 25*o**2 + 10*o**2 - 2*o**2 in the form a*o + t*o**2 + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 2*o - 31. Let n(w) = w**2 + 3*w + 4. Calculate the lowest common multiple of n(-4) and o.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jwd when three letters picked without replacement from {j: 4, d: 3, m: 1, w: 1, z: 7}?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1330201322 (base 4) to base 5\nAnswer: 112310244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 p when two letters picked without replacement from nkddknnndddwdwknnp?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of 1 + 0 + 2 - 2*s + s**2. Suppose -4*g + 9*g = -10. What is v(g)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 572?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2985 + -2957. Calculate the greatest common factor of j and 518.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*p - 20*p - 534 = -347*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -82 or 12.1?\nAnswer: -82","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6071*b**2 + 295*b**4 + 3 - 190*b + 3159*b**2 + 2919*b**2 + b**5 wrt b.\nAnswer: 20*b**3 + 3540*b**2 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81 = -2*m + 5*d, -2*m + d = 2468 - 2481 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + (-22 - 8) + (-1 - (-9 - -2)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 2*g - 3. Suppose -5*z + 10 = -0. Let u be t(z). Is u at most as big as -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/16504830 and -8\/1275.\nAnswer: 1402910550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 0.8. Let r = -59\/2 + 30. Which is the nearest to r? (a) -0.5 (b) 5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -31 and -6.5?\nAnswer: 201.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 - 23*n**2 + 2*n - 31. Let c be k(-23). Let h be 147\/c + (-4)\/(-2). Let s = 0 + -4. Put s, h, -1 in descending order.\nAnswer: h, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -563, -561, -559, -557, -555, -553?\n\"Answer: 2*c - 565","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, 22, 4, 212 in ascending order.\nAnswer: -1, 3, 4, 22, 212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1776 (b) 2\/9 (c) 0.02 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of -l**5\/30 + 193*l**4\/12 - 64*l**3 - 1763*l**2 - 2*l. Factor y(k).\nAnswer: -2*(k - 192)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000100001101100111 - -1?\nAnswer: -10000100001101100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -39 - 8 - -42 - (-122 - (-5 + 4)).\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b - 4*n + 28 = -2*b, -3*b = -n - 1. Suppose -60 = b*h - 8*h. Calculate the greatest common factor of h and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6 + 18*n - 64*n - 280*n + (-2*n - 1 + 1)*(1 + 0 + 1) - 2*n + 3*n + 0*n.\nAnswer: -329*n - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in nineteen quarters of a millennium?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95*n**2 - 331*n**2 + 494*n**2 - 390*n**2 - 383*n**2.\nAnswer: -705*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 7*j**2 - 664*j + 8256. Give q(13).\nAnswer: 807","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -16*u**2 - 7*u + 10. What is n(3)?\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44180 + -36239.4.\nAnswer: 7940.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*m**5 + 21*m**4 + 339*m**3 - 534*m**2 - 72*m = 0 for m.\nAnswer: -4, -1\/8, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2*(-6)\/(-54)*12. Factor 2\/3*n**5 + 8\/3*n**4 + 4*n**3 + 2\/3*n + l*n**2 + 0.\nAnswer: 2*n*(n + 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14467994 to the nearest integer?\nAnswer: 3804","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 - 13. Solve q*f - 6*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1677, -1632, -1587, -1542, -1497, -1452?\n\"Answer: 45*x - 1722","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 7, m: 2, c: 1, b: 4, y: 2, x: 1}. Give prob of picking 1 m, 1 x, and 2 i.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + j + 5 = 2*j, -2*s + 8 = 4*j. Solve 2*o + 30 = -3*o + 2*d, s*o - 4*d + 28 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 170*f**2 - 115*f**2 - 2*f + 0*f - 10*f**3 - 4*f**3 to u + o*f**2 + l*f**3 + i*f and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*s**3\/4 + 3071*s**2\/4 - 439*s\/2.\nAnswer: s*(s + 439)*(7*s - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*o - 5*o = 7*o + 161100. What are the prime factors of o?\nAnswer: 2, 5, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 8:44 AM?\nAnswer: 5:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u + 1. Let o be (-35)\/(-7)*-1 - -8. Let m(n) = -7*n - 2. Calculate o*m(p) + 6*x(p).\nAnswer: -15*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -5*i**3 - 195*i**2 + 5*i + 195 = 0.\nAnswer: -39, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 3*g**4 - 43464*g**3 + 157339656*g**2 + 629880288*g + 630054192 = 0?\nAnswer: -2, 7246","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o + 5 + 2*o - 8*o - 3*o**2 + 2*o**2. Give s(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6d (base 14) to base 10\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 12:52 AM?\nAnswer: 6:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 AM and 8:43 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 420\/48*(-1 + 2 + 3). Solve 3*v + 2*v + 29 = -3*c, -j = 5*v + 5*c for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.006702616 to five dps.\nAnswer: 0.0067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*x**3 - 6*x**3 - 1 - 14*x**3 + 29*x**3.\nAnswer: 22*x**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -166 + 1548. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 300422444*x**4 + 170630130*x?\nAnswer: 3605069328*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from {d: 3, r: 2, h: 13}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.988 - 7.012. Let k be (-28)\/(-21) + (-4)\/(-1). Are j and k non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of -u**4\/34 - 52*u**3\/51 - 25*u**2\/17 - 384. Factor z(q).\nAnswer: -2*q*(q + 1)*(q + 25)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 34 + -25. Let y be (-399)\/(-114)*8\/7. Let c(o) = -9*o. Let t(f) be the second derivative of 19*f**3\/6 - f. Determine h*c(v) + y*t(v).\nAnswer: -5*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l**2 - 6*l - 4*l**2 + 5*l**2 - 3*l**2.\nAnswer: l**2 - 6*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 + 35*f**2 + 211*f + 72. Let h be s(-21). Let a = 30 - 17. Suppose -2*x - h = -a*x. What is the greatest common factor of 15 and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1229 is divided by 262.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a - 12. Let r be v(8). Let s = 1 + r. Suppose 5*o = 20 - s. Solve -2*w + 0*w + 1 = o*c, 3*w = -c + 12 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6249 - u**2 + 6251 + 115*u - 4*u**4 + 3*u**4 - u**3 + 0*u**4 as p*u**2 + k*u**3 + v + c*u**4 + l*u and give l.\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3689.\nAnswer: 7, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12845782?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4279*p + 494*p**4 + 5*p**2 + 4279*p + 36 - 2*p**2 wrt p.\nAnswer: 11856*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**2 + 2*r**2 - 2*r**2)*(r - 258 - r - 10*r + 350).\nAnswer: -10*r**3 + 92*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6600*p + 6602*p + 151 = 9*t, -3*p = 3*t - 54 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 AM and 8:25 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1116 and 6541?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 + (-36)\/(-10))*(-1)\/(-2)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98 + 83 = 2*s + 3*r, 3*r = -s - 12 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18 - (-105531)\/5945) + (-2)\/(-10).\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28312?\nAnswer: 2, 3539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 4823421?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 i when two letters picked without replacement from iarxaiixiibiif?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/6 + 16\/3. Suppose 7*u - 6*u - o = 0. Suppose -5*w = -u*w - 24. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that y**3 - 1107*y**2 - 2233*y + 16635 = 0.\nAnswer: -5, 3, 1109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1067*t + 76 + 78 + 73 - 227)*(3*t - 64 - t + 2) in the form n*t**2 + m*t + v and give m.\nAnswer: 66154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -104*a**3 - 2*a**2 - 176*a wrt a.\nAnswer: -624*a - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 257290 is divided by 5965.\nAnswer: 795","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*t = -16*t + t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 641?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 153255177097 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.83*-518.0316.\nAnswer: 429.966228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00187849 rounded to five dps?\nAnswer: 0.00188","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002969889806 rounded to six dps?\nAnswer: -0.000297","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 14, -3, 1.4, -107.8, -3\/5, 1.1?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of -5\/24*k**4 + 0*k + 0*k**3 - 1\/30*k**6 + 5*k**2 + 0 + 0*k**5. Find the second derivative of y(n) wrt n.\nAnswer: -24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 0. Suppose -5*y + 7 + 8 = f. Suppose 3*d = j - 18, y*j + 0*j - d - 14 = 0. Solve h - 3*u + 12 = -u, -5*h + j*u - 32 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + (2\/(-3))\/(-2). Let z = 1 - -2. Let s = 3 - z. Is s < y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 279514457 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-3\/2)*p)\/(p\/(p\/(p\/p**(-5))))*(p**8)**(1\/8))**(2\/5) assuming p is positive.\nAnswer: p**(-11\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + 3. Suppose 42*g - 76 = -61*g + 65*g. Which is the closest to 2? (a) g (b) -1 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3, 3, 21, 57, 117, 207?\n\"Answer: z**3 - z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q + 6. Let n be d(2). Let x(f) = -12*f**3 - 27 + f**2 + n*f**2 + 13*f**3 - 3*f. Is x(-11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 447900 a multiple of 150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 234530 is divided by 6696.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 24 = 4*b, 3*k + 3*b = -32 + 8 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i**4\/3 + 2921*i**3\/3 + 228385*i**2 + 449961*i - 679320 = 0. What is i?\nAnswer: -2664, -255, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 167*a**2 - 2*a. Let w(u) = 78*u - 4. What is s(w(v))?\nAnswer: 1016028*v**2 - 104364*v + 2680","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 11016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.18 and 97.\nAnswer: 17.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -4*k - 4*k + 4 + 23*k. What is the tens digit of c(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27422375\/9 - -3041810. Let j = -5113 - u. Which is smaller: j or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1449462 and 8022.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41858 is divided by 124?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 19 + 1 = 0. Suppose 0 = h*y + 5*n + 151 - 683, 2*y = 5*n + 266. Calculate the highest common factor of y and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000010171 rounded to 7 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1268061385 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let v = -92 - -92.39. Let i = -0.3899921 + v. What is i rounded to six dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 310890 is divided by 51711?\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 286614.\nAnswer: 2, 3, 15923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 + 3*r**2 - 5*r - 4. Let a be g(-3). Let v = 14 - a. Solve v*b - 13 = -q, -b + 3*q - 6 = b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5102 - -5103. What is the nearest to z in 0.2, -0.3, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -147023 (base 8) to base 4\nAnswer: -30320103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 81117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of -v**8\/1680 + 5*v**4\/6 - 7*v**3\/3 - 17. Let u(g) be the third derivative of q(g). Differentiate u(x) wrt x.\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**5 - 1616*a**4 - 167992*a**3 - 964752*a**2 - 1425636*a.\nAnswer: -4*a*(a + 3)**2*(a + 199)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 623661 a multiple of 550?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -58*w + 5569. Give l(96).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1220939?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1855 - 1855. What is the closest to x in 0.3, -4, -6, 0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000364265266 rounded to 7 dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34, 154, 346, 604, 922, 1294, 1714?\nAnswer: 2176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 5*q - 645. Let w(r) = -4*r**2. Calculate w(u(t)).\nAnswer: -100*t**2 + 25800*t - 1664100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/3280 and 13\/320?\nAnswer: 13120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1348 + -76834\/57. Let z(v) be the third derivative of -1\/570*v**5 - 1\/76*v**4 + 0 + 15*v**2 + 1\/380*v**6 - 1\/1995*v**7 + 0*v + s*v**3. Solve z(w) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 141286 or -300?\nAnswer: -300","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 32 + -11. Suppose -3*z + 4*z - 4 = 0. Solve -16 = 2*c + z*t, -5*c - 4*t - 1 = x for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 AM and 9:50 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {d: 6, a: 6, x: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 181\/90 and 125\/72.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -38748 (base 9) in base 4?\nAnswer: -12120032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 5*o**2 + 2. What is t(4)?\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*d*g**4 - 13*d*g*m - 2*d*m - 3*g**4*m - 192 wrt g?\nAnswer: 8*d*g**3 - 13*d*m - 12*g**3*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**4*z)\/z*z*z\/(z\/(z**6\/z*z)*z))\/(z**(-5\/2)\/(z**3\/z*z)) assuming z is positive.\nAnswer: z**(33\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58589.\nAnswer: 41, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 2*m - 3*m - 18359, -4*m + 55049 = 3*r. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -73\/2 - -1237\/34. Let h = 10 - 6. Which is the biggest value? (a) -3 (b) h (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 + 4*i + 2 - 1 - 3. Let y be b(2). Suppose -4*s + 3*p = 12, -4*s = 2*p + 14 - y. What is the nearest to 3 in s, 3\/2, 5?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 + f**2 - 47*f + 85. What is p(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, t: 3, d: 8, k: 1, a: 4}. Give prob of picking 3 t and 1 j.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -9, 3*y = f + 1 + 11. Let c be (-1)\/3 + (-2)\/(-9)*f. Sort 4, c, 5 in decreasing order.\nAnswer: 5, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/h**(-1\/4))**(-22)*h**(-2\/13)*(h\/h**7*h)\/h assuming h is positive.\nAnswer: h**(-1447\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, l: 2, w: 3, z: 1}. What is prob of picking 1 l and 3 z?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-8)\/t**(3\/10))\/(((t*t*t**(-2))\/t)\/t*t)**16)**(-2\/3))**(-2\/75) assuming t is positive.\nAnswer: t**(154\/1125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 3:36 AM?\nAnswer: 10:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.63847663 to two decimal places.\nAnswer: 0.64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 62714 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -61490000 rounded to the nearest 1000000?\nAnswer: -61000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*a + 3*s - 6*s, -13 = 3*a + 2*s. Let p be (a\/(-2))\/((-42)\/(-28)). Does 12 = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -56419*d + 451258. Give l(8).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(19) + sqrt(19) + 0 + sqrt(19))**2*-4 + 0 + ((-4*sqrt(171)*2)\/((sqrt(81) - (sqrt(81) + 2*sqrt(81)))\/sqrt(9)))**2.\nAnswer: 4408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 613 is divided by 90.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**6)**25\/(o**(-13)*((o**3\/o)\/o)\/o) assuming o is positive.\nAnswer: o**163","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 60, -11, 4, -4 in decreasing order.\nAnswer: 60, 4, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3*g**2 + 0)*(-4*g + 5*g - 2*g) + g**3 + g**3 - 3*g**3 + 2*g**2.\nAnswer: -4*g**3 + 2*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -4.9707, 0.5?\nAnswer: -4.9707","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + y - 4 = 0, -3*y + 545 = o + 568 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*n + 2*n. Factor -11*y**n - 3*y**2 + 13*y**3 + 3*y**4 + 3*y - 5*y**3.\nAnswer: 3*y*(y - 1)**2*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1202332 - 22?\nAnswer: -1203020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 4)*(-2 + 1 - 4)*(-4*w**5 - 5*w**5 + 2*w**5).\nAnswer: 35*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(4\/7)*x\/(((x**(-25)*x*x)\/x)\/x) assuming x is positive.\nAnswer: x**(186\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 62? (a) 0 (b) -3 (c) 0.13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 + 473*t**2 - 3732*t + 58. What is v(8)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(3\/5))**48*(j**(-8))**(4\/33) assuming j is positive.\nAnswer: j**(4592\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -37113.9999978437 - -37114. What is o rounded to seven dps?\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 12:16 PM?\nAnswer: 9:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s**2\/2 - 85*s\/2 = 0. Calculate s.\nAnswer: 0, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, f: 2, j: 3, x: 2, d: 3}. What is prob of sequence jxfx?\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 plus -1322614403?\nAnswer: -1322614403.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8927 is divided by 32.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, -3, 53, 384, 1, 4 in increasing order.\nAnswer: -4, -3, -2, 1, 4, 53, 384","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -18*p**2 + 2 + 7*p - p**3 + 9*p**2 + 3*p. Let m be t(-10). What is the second derivative of 10*u + m*u**5 + u**5 - 9*u**5 wrt u?\nAnswer: -120*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o be -32 - (0\/(-1))\/(-3). Let a = o + 129\/4. Let l be (3 + -1)\/(-2 - -1). Which is smaller: a or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 256d8c + 4?\nAnswer: 256d91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 5*t = -85, -278 = -y + t - 525 + 268 for y.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**4 - 737*h**3 + 48230*h**2 - 632224*h + 2344320.\nAnswer: (h - 666)*(h - 55)*(h - 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -70\/14664891 and 50\/1419183.\nAnswer: 43994673","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*j - 4*j - 36*j.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of 0*l**4 + 0*l**3 + 0*l**7 + 0*l - 11\/60*l**5 - 1\/336*l**8 - 7*l**2 + 0 + 0*l**6. Find the third derivative of m(y) wrt y.\nAnswer: -60*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 3\/56 of a week?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = 4*c + 143. Let d = c + 58. What is the first derivative of 24*u**4 + 3*u**3 - 3*u**3 - 33*u**4 - d wrt u?\nAnswer: -36*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 4*p**2 - 2*p - 2. Let t(y) be the first derivative of y**3\/3 - y**2\/2 - y + 8. Determine -i(l) + 3*t(l).\nAnswer: -l**2 - l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cct when three letters picked without replacement from tfcttfftfggttt.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of ((-2)\/(-1) - -1)*11374\/33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = l - 5*o, -3*l + 1 = -4*l - 2*o. Suppose 660792 = 3*z - 3*k - 1139208, -l*z = k - 3000000. What is z rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 60 - 63. Let z be 10\/((-6)\/(-9) + m\/18). Solve -p + 6*p + z = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.58*0.1\nAnswer: -0.058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 44 = -6*f. Let s = 9 + f. Let h be s + (-16)\/(-6)*6. Calculate the highest common divisor of 2 and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10570234 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 - 18227*w - 2220083. Determine k(-121).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (9 - 6 - -379156)\/(-20). Let h = u + 18952. Calculate the common denominator of 8\/(-54)*213\/(-8) and h.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 512 - 512.0000389. Round g to five dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 + (-15)\/6*222\/(-5). Let c be w\/(-135)*5\/(-1). Let a(q) = -3*q - 6. Let s be a(-5). Solve -5*k = s - c for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 + 2*l**2 + 3*l + 17. Let h be k(-5). Which is smaller: -75 or h?\nAnswer: -75","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mufm when four letters picked without replacement from lflllllllumll?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 + 94*b**2 - 49*b - 13180. Calculate g(-93).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4 - 5) + 7\/1. Suppose 3*z = 6*y - 3*y - b, -y - 34 = 5*z. Let g(n) = n + 9. Give g(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4209 and 11868.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/3 + -15*(28\/(-105))\/1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 + 10*n**2 + 15*n - 17. Let z be i(-7). Solve -m = -z + 20 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 9 = -p. Calculate the remainder when 42\/p - 2\/(-6) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 3 (b) 5 (c) -5 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -24130, -24127, -24122, -24115, -24106?\n\"Answer: p**2 - 24131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -87 + 116. Let a(h) = 3*h**3 + 38*h**2 + 24*h + 4. Calculate the remainder when c is divided by a(-12).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -2*w**2 - 14*w - 6. Let p(u) = u**2 + 13*u + 5. Let r(f) = 2*k(f) + 3*p(f). Suppose 7*x - 8*x + 10 = 0. List the prime factors of r(x).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7278266 to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 65 + -37. Let v = 27.7 - z. Let r be 3*3\/450*(-1 + -3). Which is the third smallest value? (a) r (b) -1 (c) v (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -23262259\nAnswer: 2\/23262259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 20340 divided by -9?\nAnswer: -2260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 126 and 27?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 16*b**5\/7 + 4068*b**4\/7 + 712*b**3 - 19200*b**2\/7 + 7096*b\/7 + 3036\/7 = 0. Calculate b.\nAnswer: -253, -3, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -2 (b) 1.3 (c) -6 (d) 2538\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 3 = -c, 4*n = -4*c + 70658 - 70630 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 + 10 + -1 + (3 - 0).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 + 19*d + 2. Let t be (-23)\/(-4) - (-9)\/(-12). Let z be 2 + 2 + t + 4. Let m be g(z). Calculate the highest common divisor of 20 and m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p**3 - 2. Suppose -4*n + 3*n + 6 = 0. Let s(i) be the first derivative of 7*i**4\/4 - 7*i + 1. Determine n*s(x) - 22*z(x).\nAnswer: -2*x**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-48)\/6)\/(-4)*2\/18. Let d = 0.04 + -2.04. Put -2\/7, o, d in descending order.\nAnswer: o, -2\/7, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 - 6*k**2 + 7*k - 4. Suppose 106 = -14*d + 8. Give t(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 606954 is divided by 1027.\nAnswer: 1024","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -532772, -1065664, -1598556, -2131448, -2664340, -3197232?\n\"Answer: -532892*w + 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of n**4\/12 + 13*n**3\/6 - 11*n**2. Let a be j(-5). Is 5 less than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 + 2 + (6 - 16) + -24.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/(-2))\/(-8 + 3000\/376). Let l = -103 + k. Calculate the remainder when l is divided by 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 1\/5, 12.23, -2\/7?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*r = 71842 + 67154. What is the hundreds digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.172 - -1.258. Let u = j + 0.07. Round u to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -271 and 16981079.\nAnswer: 16980808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = -5*l + f, -5*l + 5*f - 34 = 36. Let n = 14 + l. Solve -n*c - c + 20 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.8 from 311.\nAnswer: 310.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64391?\nAnswer: 19, 3389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*z**4\/7 + 182178*z**3\/7 + 318840*z**2\/7 - 91096*z\/7 = 0. What is z?\nAnswer: -2, 0, 1\/4, 22774","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2098.07 + -275.469\nAnswer: 1822.601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -11*a**3 + 6*a**2 + 1. Let n(o) = -20*o**3 + 11*o**2 + o + 1. Let l(k) = 11*c(k) - 6*n(k). Let y(q) = q**3 + 7*q - 6. Calculate -6*l(m) - 5*y(m).\nAnswer: m**3 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/(m**(-5)*m*m)*m)**(-18) assuming m is positive.\nAnswer: m**(-108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 419259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 AM and 12:12 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 AM and 5:48 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -p - 3*t + 13, -3*t + 105366 = -3*p + 105405 for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10447 + -23747. Round r to the nearest one thousand.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7\/(-5) + 8 + (-84)\/(-30) + -9. Let m = 13.06 + -13. What is the closest to g in -0.3, 2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 + 3*f + 3. Let z be j(-2). Let i be ((-6)\/(-8))\/((-3)\/(-36)). Let b = i - z. Solve -2*n + b = -2 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/6 - 37313*m\/2 + 279860\/3.\nAnswer: -(m - 5)*(m + 111944)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15 is divided by 15.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 236 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of d**4\/24 + d**3\/2 - 30*d**2. Calculate t(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*d + 27 = -18 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 7910.\nAnswer: 7910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80 + -52 + 82 + -51.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -184876, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -5*o + 2, 22 = 4*z - 3*o + 6*o. Suppose 0*n = -z*n + 72. Suppose 2*u = -u + n. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 222272 = 64*h - 59840. List the prime factors of h.\nAnswer: 2, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 16 + 8 = 0. Let b(t) = -7*t. Let s be b(-6). Let l = s - k. Calculate the least common multiple of l and 16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 374 and 2009418.\nAnswer: 375761166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c**3\/2 - 1255*c**2 - 10200*c = 0. Calculate c.\nAnswer: -8, 0, 510","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.91437 + 105.90377. Let a = 98.67 - -2.33. Let h = a - w. Round h to three dps.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 37667504?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 - 8 = -3*v - 5*u - 5, 0 = -u - 3 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -55*q**4 + 59*q**3 + 44*q**4 + 68*q**3 + 3*q + 1 + q**2 + 0*q - 129*q**3 in the form c*q + g*q**2 + b + k*q**3 + h*q**4 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 99\/84 - (-1204)\/(-688)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.2309 - -0.0691. Which is the closest to 1? (a) v (b) 0.1 (c) 15 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2 - 12092*z\/5 - 26554\/5.\nAnswer: -2*(z + 1207)*(5*z + 11)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*j**2 - 5929229*j**3 + 6*j**2 + 5929204*j**3.\nAnswer: -25*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 52567640 + -3?\nAnswer: 52567635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s + 46838 - 46838 + 0*s - 4*s.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + u + 311646, 3*u = 4*p + 4*u - 311642. 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 109, 463, 1061, 1909, 3013, 4379, 6013, 7921?\nAnswer: 10109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, 0.17, -0.1, 0.13, -78\/7?\nAnswer: -78\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 36\/1*(-6)\/(-9). Suppose r = -3*r + m. Let h be 3\/r - 7\/(-2). Solve 4 = 3*y - j, 4*y = 3*y - h*j + 10 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/(-2))\/(3\/4). Let o be 336\/54 + t\/9. Suppose -n + o*n - 90 = 0. Is n a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-8) - 7\/(-12). Let a(n) = -4*n**2 - 16*n + 28. Let w(v) = 3*v**2 + 16*v - 28. Let z(b) = -4*a(b) - 5*w(b). Let d be z(14). Is t < d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-216)*-4*3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 752 - 839. Which is bigger: l or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*29\/(841\/319).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79973378?\nAnswer: 2, 43, 313, 2971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 213.0532 - 0.0532. Let c = -213.000135 + i. Round c to 5 dps.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/135*-10*12\/(-40)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_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: Calculate the remainder when 493704024 is divided by 1385.\nAnswer: 1384","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 245*a. Let t(w) = -3*w - 20. Let b(r) = 2*r + 15. Let v(l) = 4*b(l) + 3*t(l). Calculate v(s(h)).\nAnswer: -245*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 231787.5 litres to millilitres.\nAnswer: 231787500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 156606?\nAnswer: 2, 3, 43, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -173 at most -174?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - (9 - (-7 - -23)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -4*n + 260, -n - z = z - 62. Suppose -2*a - n = -3*a. Suppose a + 5 = -3*w. Which is smaller: w or -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of 5*v**3\/6 + 3*v**2\/2 - 13*v - 19. Let k be ((-13)\/(-3))\/((-4)\/12). Let n(q) = 11*q - 1 + 3 + 4. Determine k*o(m) + 6*n(m).\nAnswer: m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -12201 (base 6) in base 14?\nAnswer: -929","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 424 + 63. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -2 + 2 - k. Let i be g(-1). Suppose 0 = -s + i, 2*l + 1 = l + 4*s. Calculate the smallest common multiple of 9 and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 17 in 0.5, -1\/16, 0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4158\/(-1617)*(-8)\/48?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 182\/(-16)*(-3946)\/41433?\nAnswer: 13\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 2*m - 2*m - 2*m)*(-11*m**3 + 13*m**3 + 3*m - m - m**2) in the form r*m**4 + o*m**2 + x + z*m + b*m**3 and give b.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 52531\/12 + -4383. Find the common denominator of 926\/(-288) - 4\/18 and s.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3.4, 1, -8\/55, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 283 + -255. Let j = t + -14. Suppose -h - 8 = -5*h. Solve l = -4*l + c + j, 0 = -h*l - 4*c - 12 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 20 = -6*h + h, 3*h - 40 = -5*t. Suppose 9*z = 13*z + 12. Sort z, -2, h.\nAnswer: z, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -1059*p + 1054. Let l be d(1). Let a(t) = -t**2 - 3*t - 2. Let m be a(-3). Put m, 4, 46, l in descending order.\nAnswer: 46, 4, m, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152)\/(sqrt(288) + 1*sqrt(288)) + 2*(-1*sqrt(304) + sqrt(304) + sqrt(304) + sqrt(304) + sqrt(304)))**2 + 1.\nAnswer: 1587043\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -200*a + 156*a + 5 = 49 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does -1.111 = -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 175*s - 33 + 21 + 12 to the form a*s + u and give a.\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m - 8*m - 9*m + 22*m - 1.\nAnswer: 4*m - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-120)\/28 + (2 - 12\/7)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000005962563 rounded to seven decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of o**5\/60 + o**4\/6 - o**3 + 12*o**2 - 19. Determine l(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a kilometer in meters?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 240\/((-4375)\/(-175) - 364\/13)?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*(-7)\/(-171))\/(10969\/(-9402))?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bsb when three letters picked without replacement from {a: 2, b: 2, s: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2598, 2613, 2630, 2649?\nAnswer: 2670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 980 a factor of 342052705?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-1)\/(-24)*-78?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 13) to base 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 + 11 + 2\/8 + (-24073)\/3620. Solve 4\/5*u**4 + 6\/5*u**3 - 8\/5*u**2 - i*u - 2\/5*u**5 + 0 = 0 for u.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-12)\/24)\/(1*2\/(-136088)). Is k - (-4 - -3)*10\/2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 41*d - d**2 + 2395521*d**3 - 2395519*d**3 + d**2 + 66 in the form w*d**3 + t + s*d + c*d**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (8\/(-10))\/((-2)\/10). Suppose 4*h - 9*h + 925 = 0. Suppose -n*s + h = s. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 8003, 16009, 24013, 32015, 40015?\n\"Answer: -v**2 + 8009*v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1*14\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 56750 rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 + 6 - 4) + -6. Let v be c\/((-1)\/(-2) + 232\/(-448)). What is the greatest common divisor of v and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 - 1.6. Let c = 11 - 18. Let s = t + c. What is the smallest value in -2, s, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -q**2\/2 - 9*q + 115\/2 = 0.\nAnswer: -23, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1544 or -49155?\nAnswer: -49155","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a minute in milliseconds?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19 + -18.8. What is the second smallest value in 0, 0.06, q?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f**3 + 37*f**2 + 22*f - 5. Let y(d) = d**3 + 19*d**2 + 11*d - 2. Let u(v) = 3*r(v) - 5*y(v). Is u(-15) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5740 and 38458.\nAnswer: 384580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9\/2 - 145\/2*c + 8*c**2.\nAnswer: (c - 9)*(16*c - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26859?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.201 * -190.\nAnswer: 38.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 238, 1843, 6170, 14581, 28438?\nAnswer: 49103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 37 and 223591?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 - 12. Let k(m) = -2*m**2 + 2*m - 1. Let u be k(o). Sort -4, 4, u.\nAnswer: -4, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6525 is divided by 2127?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 263\/4 in 2, 1, 5\/2, 3, -21?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -110609*u**6 + 579*u**3 - 31*u**2 + 3066048 wrt u?\nAnswer: -13273080*u**3 + 3474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in thirteen eighths of a tonne?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3323663599.\nAnswer: 23, 144507113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1054 + 1896. Let s = i - 841.9081. What is s rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13 in -190, -3, 2\/3, -5, -1, -6\/77?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2172006, 4344023, 6516040?\nAnswer: 8688057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 2\/19, -0.3, -0.5, -0.11?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18658, -18655, -18652, -18649, -18646?\nAnswer: -18643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -119.52 to the nearest 10.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -28535*y**3 + 40*y**2 - 80*y - 200. Let c(l) = -2195*l**3 + 3*l**2 - 6*l - 15. Determine -40*c(a) + 3*j(a).\nAnswer: 2195*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/(-1890)*-21)\/((-26)\/30).\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.8? (a) -1\/10 (b) -22 (c) -0.2 (d) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*n**2 + 268*n**3 - 88*n**3 - 6*n**2.\nAnswer: 180*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6*3\/((-18)\/(-10)). What is the units digit of (1 + -4*v)\/((-6)\/56)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 + 4*w**2 + w + 1. Let i be a(4). Suppose i*f - 2 = -12. Let y be 40\/(-20)*((-1)\/2 + -1). Sort y, -3, f in decreasing order.\nAnswer: y, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - 1. Let l(w) = w. Let r(c) = -13 + 31 - 17. What is v*l(n) - r(n)?\nAnswer: n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 4*l + l. Solve h = a + 2, -5*a - 10 = l*h - 50 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.14 to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 2 = -0. Suppose -4*b = 2*a - 36, 44 = 5*b + a + j*a. What is the remainder when 27 is divided by b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 28\/36 + 4\/18. Let u(q) be the first derivative of 3*q**3 + q - 1. Is u(p) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3219*h - 178605 = -28545 + 62394 for h.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 20 = 9*w. Suppose 0*b + b = w*l - 109, 3*b = -4*l + 121. What are the prime factors of l?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 13, 27, 39, 49, 57?\n\"Answer: -u**2 + 17*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, q: 9, t: 1}. What is prob of sequence tv?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 2 - 6 = k, -4*k - s = -5. Factor -2*t**3 - 3*t**4 + 2*t**4 + 2*t**4 - 2*t**4 - t**k.\nAnswer: -t**2*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 3 - 1)*(1 - 4 + 2)*(-5 + 4 + 0 + 23 - 2 + 3 + (3 + 0 - 1)*(-2 + 0 + 1) - 1 - 3 + 3)*(-6*v + 3*v + 4*v)*(1 - 9 - 3) as d*v + l and give d.\nAnswer: -660","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 212456.\nAnswer: 2, 26557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -134 and 1058881148?\nAnswer: 1058881282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 (base 4) in base 7?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 622 is divided by 78.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*v**2 + v**4 - 1 - 2*v**4 - v - 3*v**4 + v**4 as r*v**2 + o*v**4 + l + z*v + d*v**3 and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*c, -19 = -2*a + 2*c + c. Suppose 3*v - 2*v - 3*f = -2, -5*f = 5*v - 30. Let b(k) = -k + 3*k - v*k. Let m(x) = -x. Give a*m(l) - 6*b(l).\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -90228356 divided by -1961486\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -5196535 at most as big as -5196535?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 160951 and 12551.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y**4 + 3*y**3 - 3*y**3 + (-4 + 4 - 2*y)*(-3*y**3 + y**3 + 4*y**3) + y + 3*y**4 - y + 12 - 9*y**4 - 12.\nAnswer: -12*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 4*o = -34, o = -4*r - 3*o + 28. Let d be 2*(-15)\/r*-1. What is the derivative of -d*w - 1 + 2*w + 0*w wrt w?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/20)\/((-1)\/20*896\/168).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of k**6\/6 + 5*k**2\/2 - 4*k + 4. Let b(a) be the first derivative of j(a). Differentiate b(f) with respect to f.\nAnswer: 20*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5286?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10*w*y**3 - 11*w*y**2 + 153*w - 177*y**3 - 5*y**2 + 31*y with respect to w.\nAnswer: -10*y**3 - 11*y**2 + 153","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1871*h + 4*h**2 - 1871*h.\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(90)*3 + sqrt(90))\/(sqrt(2) - (sqrt(2) + sqrt(18)*2)))**2.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + 10131311211210?\nAnswer: 10131311211203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f - 3. Let v be c(0). Let w(q) = q**3 + 5*q**2 + q - 1. Let o be w(-5). Let d = -10 - o. Which is bigger: d or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 m when three letters picked without replacement from {v: 1, m: 4, y: 1, z: 7}.\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ijjvsijjjjjv. Give prob of sequence vvs.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 122.6966217523 plus 458?\nAnswer: 580.6966217523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 108315377?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide (56 - (-11 + 3))*2*6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h. Let a be i(3). Let v be (a - (-2)\/1)*(2 - 61). Let y = v + 5. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9238.388 minutes in seconds?\nAnswer: 554303.28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -186505.9 and -53435?\nAnswer: 133070.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iywi when four letters picked without replacement from ryriwywiyiriyw?\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 793 is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 201*f**3 + 33*f + 33. Let g(o) = 25*o**3 + 4*o + 4. Suppose 2*l - 147*u + 20 = -143*u, u = -3*l + 19. Calculate l*j(a) - 33*g(a).\nAnswer: -21*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 162776247?\nAnswer: 3, 54258749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7.59 in 10, 1\/4, 3, 3.7, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 66.45875 weeks in seconds?\nAnswer: 40194252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.7839956 rounded to 1 dp?\nAnswer: -11.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3014, 480\/29, -3 in ascending order.\nAnswer: -3014, -3, 480\/29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 29\/5 of a litre?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of 13*k**4\/24 - 3*k**3\/2 + 3*k**2. Let x be n(6). Suppose -5*g + x = -11. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -131900 rounded to the nearest 10000?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2*u**2 + 11*u + 9. Let y(w) = -9*w**2 - 3*w + 2. Let m be y(2). Let h = m + 56. What is the remainder when k(-7) is divided by h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yydyyd. Give prob of sequence yddy.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of w**4\/12 - w**3\/3 - 2*w**2 - 3*w. Let y be a(4). Suppose -3*g - 5*r + 2 = -r, 4*r - 4 = -y*g. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23\/(207\/18)*11\/(-143).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -490 or -495?\nAnswer: -495","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 3*x - 1531 + 1491 = 0, 0 = 4*m - 5*x - 71 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -10*i. Let m(q) be the second derivative of 0 + 0*q**2 - 19\/3*q**3 - 207*q. Calculate m(j(r)).\nAnswer: 380*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 2 = 2. Suppose c = z - 7*z + 42. Suppose -3*d - 5*g + z*g + 496 = 0, 187 = d - 5*g. Calculate the greatest common divisor of d and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12575 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2597032 divided by 649258\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of -3*i**3 + 5\/4*i**4 - 36 - 3\/20*i**5 + i + 0*i**2. Factor y(s).\nAnswer: -3*s*(s - 3)*(s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of k*n*o - 882*k*o - 2*k + n*o + 15*n - 506 wrt k.\nAnswer: n*o - 882*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -2\/5, 0.3, 1, -1\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - (6 - (-7 - -8))) + 3 - (42 - -2).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 PM and 6:17 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*67.\nAnswer: -26.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a tonne in kilograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**2 - 699*w - 40446.\nAnswer: -3*(w + 107)*(w + 126)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + 2. Suppose 9*w - q = 5*w. Let 4*i**4 - 4*i**3 - 14*i**2 + 8*i + i**3 + 2*i**5 - 3*i**3 + 6*i**w = 0. What is i?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2955893127.\nAnswer: 3, 11, 89572519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w + 8. Let y be (16\/6)\/(2\/(-6)). Let d be t(y). Suppose 0 = -z - d*z. Solve 2*j + z = -2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*r - 32*r + 52 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of -89*r**7\/210 - 169*r**4\/12 - r**2 - 85. Find the second derivative of k(j) wrt j.\nAnswer: -1068*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2072*s + 78478 = 1175*s - 200764 for s.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2211020012 + -1?\nAnswer: 2211020011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 7*q + 170. Let o be y(-6). Calculate the highest common factor of o and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006162812 rounded to four decimal places?\nAnswer: -0.0062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 129?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 118371119 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4670334 by 53682.\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (6080\/(-19000))\/((-4)\/5) + (-2 - -3)\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31348749?\nAnswer: 3, 10449583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -58 times 2735\nAnswer: -158630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**4 - 3*j**3 + 3*j**3 + (j**3 + 0*j**3 - 3*j**3)*(-3*j + 4*j + j) - 4*j**4 + j**4 + 4*j**4 - 2*j**4 + 2*j**4 - 2*j**4)*(-4*j + 2*j + 4*j).\nAnswer: -14*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -910.595 - -920. What is r rounded to 1 decimal place?\nAnswer: 9.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -38061\/37735 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*n - 2938 = -23083. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v + 2. Let f(t) = 9*t + 4. Let h(g) = 5*g + 2. Let i(k) = 3*f(k) - 5*h(k). Calculate -5*d(q) + 4*i(q).\nAnswer: 3*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1290 and 516?\nAnswer: 2580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 34*w = 32*w - 8, 2*i + 3*w = -14 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12103, 97015, 327545, 776503, 1516699?\nAnswer: 2620943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1395788466765 from 3.\nAnswer: -1395788466762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(12)*3)\/(sqrt(9)\/sqrt(3)*5))\/(sqrt(2) + sqrt(72)\/sqrt(4) + sqrt(18) - 1*-2*sqrt(2)).\nAnswer: -sqrt(2)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = k - 22, k - 6*k + 10 = 5*c. Put k, 0, -5 in decreasing order.\nAnswer: 0, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 5 + 1. Find the common denominator of 157\/(-12) - 9\/u and 13\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 n when two letters picked without replacement from {g: 3, o: 6, h: 6, n: 1, v: 2}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 + 64902.\nAnswer: 64897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70531?\nAnswer: 251, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, -322 in increasing order.\nAnswer: -322, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/((l*l\/l**1)\/l))**(-1)\/((l*l**(-1\/5))\/(l**(-13\/4)\/l*l)))**(-1\/94) assuming l is positive.\nAnswer: l**(101\/1880)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -36276124 greater than or equal to -36276122?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3842398*m**5 - 4193471*m - 1?\nAnswer: -76847960*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of v**2\/2 - 8. Suppose 0*r - 2*r + 4 = 0. Let l(j) = 34*j**2 - 11*j**r - 16*j**2. Calculate c(l(u)).\nAnswer: 7*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 7, n: 2, o: 5}. Give prob of picking 2 k.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 17 - 39 = 0. List the prime factors of u.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 35285.4mm?\nAnswer: 35285400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 + 11*m. Let o(z) = 138*z - 7*z**2 - 46*z - 48*z - 44*z. Calculate o(b(f)).\nAnswer: -7*f**4 + 154*f**3 - 847*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6 (b) 0.87 (c) 10266 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 24301755 - 31?\nAnswer: 24301724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1130834 and 3293?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1680355865.\nAnswer: 5, 336071173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1980332682?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cb when two letters picked without replacement from bjcjbjccc?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 + 2*s - 8. Is j(5) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n + 14*n - 2*g = 9, 0 = -3*n - 3*g + 18. Solve -4*s + 5 = r, 2*s - n*r + 6*r = -5 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1107*c + 1555 = 29688 + 9505 for c.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**4 - t**3 - t**2 + t - 1. Let i(v) = 9*v**4 + 5*v**3 + 5*v**2 - 13*v + 5. Let b(h) = -i(h) - 5*o(h). What is the second derivative of b(j) wrt j?\nAnswer: -48*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of 3*f**6\/20 - 8*f**3\/3 + 8*f**2. Differentiate p(j) wrt j.\nAnswer: 54*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -672 = -3*u + u. Let o = 227013 - 226869. What is the highest common factor of u and o?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-29)\/(-116)*12*-1*10\/(-6). Solve -60*o = j - 58*o - 9, -26 = j - z*o for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96.28241ns to microseconds.\nAnswer: 0.09628241","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 times 15?\nAnswer: 2085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/1770 and (-9)\/40*18745\/4890.\nAnswer: 14160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 16*i - 419. What is v(18)?\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2*i**2 - 4*i + 4. Let v be 21\/(-30)*-8 - 2\/(-5). Let o be c(v). Calculate the highest common factor of 8 and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.8 + -4.5. Let t = j + 107.3. Let c = 98.78 - t. Round c to one dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h - 2*h - 2*h + 2*h to g + i*h and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21461 - -21697. What is the greatest common divisor of r and 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -1.9, 161, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 79*c**3*q**3 - c**3 - c**2*q**2 - 27*q**3 wrt c.\nAnswer: 474*q**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (43 - 101752\/782) + (52\/221)\/2.\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 5357, 5404, 5451, 5498?\n\"Answer: 47*j + 5310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -2\/15 (c) -2\/5 (d) 2\/153\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -3*y + 30, 3*d + 2*y = -y - 30. Calculate the common denominator of 61\/12 and d\/4*(-50)\/(-120).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-301)\/21 - ((-22764)\/252 + -69)?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 90 and 360?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-195)\/(-27))\/(-13)*23\/45 and 4\/21.\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2*f**2 - 4*f + 2. Suppose 3*i + 0 = 6. Let p(u) = 2 + 1 + 2*u**2 - 5 - 4*u + 7*u. Let a(j) = j + 10. Let h be a(-7). Calculate h*p(b) + i*w(b).\nAnswer: 2*b**2 + b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 37127.69 to the nearest ten.\nAnswer: 37130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 185 or -1\/4?\nAnswer: 185","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -18, -297, -2 in ascending order.\nAnswer: -297, -18, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y**2 + 960*y + 2851. Give a(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8316779 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.92 + 2.12. What is the second smallest value in -8, 4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 613 + -613. Suppose 26*f - 4*f + 150524000 = u. What is f rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 3)*(2 - 2 + 1)*(3*n - n - n).\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 (base 6) in base 16?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 - 31960?\nAnswer: -31871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 234\/(-14820)*76*1*35?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, x: 1, p: 1, y: 2}. What is prob of picking 1 y and 1 p?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = q - 2*q. Let a be (-2)\/8 + 136\/32. Suppose -11 = -5*s + a*s. What is the lowest common multiple of s and q?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c - 6. Suppose 3*k + 22 - 64 = -3*i, -5*i = -5*k - 20. Calculate the lowest common multiple of i and v(7).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 446531 + 2?\nAnswer: 446533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -7 (b) 0.3 (c) -1\/5 (d) -0.1 (e) -0.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8652.909 decades in years?\nAnswer: 86529.09","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 4 = -5*t + 184, 5*z + 5*t = 240. What is the greatest common divisor of z and 11739?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 5*v - 4. Let d be s(-8). Let f be ((-143)\/d)\/(2\/(-6)). Let x = 7675 - 7675. Is f at most as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -19508 greater than or equal to -19508?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of 17*p**6\/120 + 11*p**5\/60 + p**4\/8 + 4*p**3\/3 - 788*p**2 - p. Let r(o) = -11*o**3 - 7*o**2 - 2*o - 5. Give -8*r(j) - 5*y(j).\nAnswer: 3*j**3 + j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (266 + -14)\/14 + -9. Solve 0 = -4*y + 2*t + 18, -4*t + 9*t = -2*y - v for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i**3 + 13*i**3 + 26*i**3 + 7*i**3.\nAnswer: 49*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.69 + 0.22. Sort 1, 2, o.\nAnswer: o, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3370816800?\nAnswer: 2, 3, 5, 13, 36013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -366033 (base 8) in base 9?\nAnswer: -211726","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -2*a**5 + 110*a**4 + 4036*a**3 - 209052*a**2 - 884034*a - 671058 = 0.\nAnswer: -43, -3, -1, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -603*l**2 + 1938*l + 17400 = 0.\nAnswer: -4, 1450\/201","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of 7*c**6\/45 + 3*c**5\/5 + 5*c**4\/6 + 4*c**3\/9 - 106*c + 1. Determine p, given that g(p) = 0.\nAnswer: -1, -4\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 - 19762*w - 316436. What is z(-16)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1540 + -1505. What is the greatest common divisor of 17780 and m?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 54 and 20754.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 12 times -0.1024\nAnswer: -1.2288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122130.\nAnswer: 2, 3, 5, 23, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6687 = -4*c - 3*i, -3*i = -5*c + i + 8320. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 91*t**2 - 23*t**2 - 32*t**4 - 2*t - 36*t**2 + 16*t**3 + 7 - 32*t**2 to the form r*t**4 + j*t**2 + y + m*t + u*t**3 and give u.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -122.22 times -3\nAnswer: 366.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*q**2 - 16*q**2 + 32*q**2.\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32.4 - 37. Let x = -4.1 - f. Which is the closest to 1? (a) 2\/9 (b) -4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42126 bigger than 42124?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92769.13t to milligrams.\nAnswer: 92769130000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.09 times 1958\nAnswer: 176.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, 39, 57, 71?\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 + a - 3. Determine c(-4).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-40))\/(312\/(-832))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zl when two letters picked without replacement from zlzzlli?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 693\/4 + -173. Let c be 354\/(-45) - 6\/(-540)*-12. Put -3, r, c in decreasing order.\nAnswer: r, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*x = 150*x - 6*x + 12744. What is the nearest to 0 in x, 1\/8, -0.4?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(140)*2*2)\/(-2*sqrt(144)))\/((sqrt(160)\/(sqrt(8)\/sqrt(2) + sqrt(4)))\/(2*sqrt(512))).\nAnswer: -32*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -33 (base 12) to base 3\nAnswer: -1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4975.99999996081 + 4976. Round o to 7 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, t: 5}. What is prob of picking 2 t?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -13) + (-146 - -124)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -15, -14 = 2*b + b - 2*a. Let h be b\/(-3)*(-12)\/8. Let u(g) = -2*g**3 - 6*g**2 - g - 2. Is u(h) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 720013687.\nAnswer: 21611, 33317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 4223130, 8446298, 12669468, 16892640, 21115814, 25338990, 29562168?\n\"Answer: k**2 + 4223165*k - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17 and 493?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 25 = -4*g - 7, -2*g + 10 = w. Solve 0 = -c - 5*s, 0*c - g*c = -5*s - 25 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1539) + -1)*-4 - (sqrt(1539)*1 + -3 - sqrt(1539))) + -2)**2.\nAnswer: -360*sqrt(19) + 24649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 120 = 5*v. Let j(y) = -23*y + 127. Let h be j(-11). Suppose 0 = -7*c - 65 + h. What is the smallest common multiple of c and v?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhh. What is prob of sequence hh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23 - 114\/5. Let y be 24\/(-10) + (5 - 2). Let 2\/5*g + 0 + u*g**3 - y*g**2 = 0. Calculate g.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 10 = 4*d, 9*d = -3*x + 5*d + 18. Which is the closest to -2\/11? (a) 15 (b) -2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.9 or 4693.4495?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0410182 rounded to four decimal places?\nAnswer: -0.041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(9*6\/36).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 25, -345*p + 5*m = -346*p + 71. Solve -7 = l - 2*n, 5*l - p*n = -47*n + 9 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + 22121?\nAnswer: 22111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00951108001 rounded to five dps?\nAnswer: 0.00951","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -8 + 6*v - 13 - 19 + 46 + v**2. Let z(m) = m + 1. Let n(d) = -k(d) + 6*z(d). Let p(a) = -6*a**2 - 2*a. Give 4*n(g) - p(g).\nAnswer: 2*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21115 - -21116. Which is the nearest to -0.1? (a) -1\/468 (b) -0.1 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 216593*w. Let c(j) = -4*j**2. Give y(c(s)).\nAnswer: -866372*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1300 = -7*k + 2*k. Let i = 118 - k. Let x = i + -158. Round x to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1755989 hours in nanoseconds?\nAnswer: 632156040000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12697 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*r - 6757 + 6505 for r.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11509\/21 - 3820\/7. Let q(f) be the first derivative of 0*f**4 + 0*f**5 + 0*f + 0*f**2 - f**6 + 19 - y*f**3. What is the third derivative of q(j) wrt j?\nAnswer: -360*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.465 + 0.265. Let g be 9\/(-10) - (-3)\/6. What is the third biggest value in g, c, 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, l: 7, z: 3, o: 6}. Give prob of picking 2 l and 2 o.\nAnswer: 105\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 849*x + 12 = 846*x, 0 = -2*o - 2*x + 8. Solve 6 + o = -12*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = -5*a + 10, 0 = 2029*a - 2026*a + 2*r - 25 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1817247419?\nAnswer: 13, 17, 19, 432781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v**3 - 2*v**3 + v**3 + (-6 - 2 - 2)*(v - 1 + 1)*(-v**2 - 9*v**2 - 8*v**2).\nAnswer: 179*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10290 a multiple of 105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137*y = 286*y - 8460 for y.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 610898640 - 5026.\nAnswer: 610893614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 4*x + 238. Let v(r) = -7084*r**2. What is m(v(d))?\nAnswer: -28336*d**2 + 238","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - t = t - 19718, 4*t + 4 = 0. Let u be 3*((5 - 1) + a\/6). Let m = -1624 + u. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d**3\/7 - 24*d**2\/7 + 512\/7 = 0 for d.\nAnswer: -4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 + 7*p**2 + 4*p - 8. Let b be o(-6). List the prime factors of 2\/b*2 + 17.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (15\/(-48))\/(3\/12). Let h = 3.7 - 2.9. Let v = -0.3 + h. Which is the second biggest value? (a) j (b) 2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4*(-2 - 50\/(-24)). Let k be 98\/22 - 5 - 0. What is the second biggest value in 0, j, k?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.47959716 to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 115 + -350\/3. What is the closest to 3 in l, -0.2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -82 - -573\/7. Which is the biggest value? (a) -3 (b) -1 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -185 + 265. Suppose 4*q - 2*y - j = 0, q + 0*y = -3*y + 13. Does 6 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(539) - sqrt(539)*-1) + 1.\nAnswer: 1 + 14*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - -2. Suppose 2 + 6 = 4*b. Let r(y) = 3 - b*y + 5*y - 3 + 1. Let s(q) = 7*q + 3. Determine i*r(t) - 4*s(t).\nAnswer: 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 h when two letters picked without replacement from uhurqqrudrdqhhhprrr?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 - 2*b**2 - 3. Let m be i(-3). Let w be 52\/m - 1\/(-3). Suppose -58 = -w*z + 14. What is the remainder when 63 is divided by z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6\/227 (b) -5 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1089310 = 1408*c - 1311*c. What are the prime factors of c?\nAnswer: 2, 5, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 486521880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 13\/234 + (-2)\/(-12). Let c = -52 + 57. What is the second biggest value in c, n, 1\/6, -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*(c*((c\/(c*c**(-7))*c)\/c*c*c)\/c)\/c*c*c*c**(23\/5) assuming c is positive.\nAnswer: c**(78\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = -2068*x + 2072*x + 2, -3*x = 5*t - 42 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*w**2 - 16*w + 16*w.\nAnswer: 31*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1808 by 1613.\nAnswer: -1808\/1613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 5*d - 1146572, -2*d - 3*w = 3*d - 1146567. Let r = d - -670686. Suppose -x + r = -3*x. Round x to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.424 rounded to zero dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c + 143 = -19. What is the greatest common divisor of c and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*y - 4*d + 48, 43*y + 5*d = 39*y + 33 for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(1584) + (-2 + sqrt(1584))*-5 + (sqrt(1584) - -1*sqrt(1584))*-6)**2.\nAnswer: -3840*sqrt(11) + 405604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 32 + -43?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -23*a + 5. What is the tens digit of r(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v + 16. Let o be i(-10). Suppose -31*z = -30*z - 6. Let r = z - o. Solve f + 4 = -r*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.8, -1\/3, -41, 10.5, -0.1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 422442423 (base 5) in base 14?\nAnswer: 33d4d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of -d**4\/12 + 5*d**3\/6 + 7*d**2\/2 + d. Let x = -5 + 11. What is the units digit of v(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 22*f**2. Let r(p) = 3*p**2 - 230*p + 710. Give r(a(v)).\nAnswer: 1452*v**4 - 5060*v**2 + 710","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (280 - 102 - 1)*(3*c + 10*c + 12*c)*((-4 + 0 + 3)*(-3 + 4 - 3) + (0 + 1 + 0)*(-4 + 0 + 2) + 4 - 3 - 3) to the form o + l*c and give l.\nAnswer: -8850","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of -7*k**4\/3 + 7*k**3\/2 - 21*k**2\/2 - 12*k. Let t = -820 + 819. Let w(x) = x**2 - x + 1. Calculate t*s(f) - 21*w(f).\nAnswer: 7*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i + 4*i + 3*i**2 + i**2 - 3*i**2 - 2. Let u be y(-6). Factor -6\/5*n + 0*n**2 + 6\/5*n**3 + 3\/5*n**u - 3\/5.\nAnswer: 3*(n - 1)*(n + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 372046327 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a gram in milligrams?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, d: 1, p: 7, s: 3}. What is prob of sequence pid?\nAnswer: 7\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9932 + 10352 - 991*m - 21516 wrt m?\nAnswer: -991","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-2)\/15*(-4 - 69\/6) and 1*3*(-82)\/(-48)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1982 and -1983 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*i - 2*a, 2*a - 13 = -3*i - 26. Sort 1, -6, i in decreasing order.\nAnswer: 1, i, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bxj when three letters picked without replacement from {j: 2, x: 6, h: 1, b: 1, m: 2}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1185668*-0.3.\nAnswer: -0.03557004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -266994 rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 + 6*k**2 + k - 2. Let v be h(3). Suppose -185 = -109*s + 114*s. Let l = v - s. List the prime factors of l.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 37 - 2. What is the greatest common factor of f and 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 6, t: 5, d: 1, o: 6}. Give prob of picking 1 d and 1 t.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -5*x + 20 - 11, -4*x = 0. Suppose c*n + 90 = 5*n - 4*y, -8 = 2*y. Let a = 136 - 25. Calculate the highest common factor of n and a.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/g**22)\/g)\/(g*g**(4\/13)*g))\/(g*g**(-8\/11)*g**(2\/47)) assuming g is positive.\nAnswer: g**(-165491\/6721)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and 684.\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1411789\/254380 + 1\/12719. Calculate the common denominator of -59\/10 and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21111 - 0?\nAnswer: 21111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 665*z + 110 - 28*z - 110 + 34*z.\nAnswer: 671*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = 5*n - 2*s, -14*n + 8*n - s + 43 = 0 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6389652?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, p: 5, y: 2}. Give prob of picking 2 f.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -813, -809, -805, -801, -797, -793?\nAnswer: -789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 202910979 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -229 (base 15) to base 16\nAnswer: -1e9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1148201 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -10*h**2. Let f(u) = 273*u + 274*u - 555*u. Give f(g(x)).\nAnswer: 80*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of 8*c**6\/135 - 11*c**5\/45 + 5*c**4\/27 + 4*c**3\/27 - 2*c. Determine v so that u(v) = 0.\nAnswer: -1\/4, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 + 5*s**2 + 2*s. Let a be -1 - (3\/1 + -2). Let l be u(a). Let q(d) = d**2 - 7*d - 7. What is the units digit of q(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31b (base 14) to base 12\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1096*a + 7336 = -102203 - 13213 for a.\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 + 1954241?\nAnswer: 1954240.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3951 is divided by 558?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21978155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.3 - 0.4. Let x = -37427.324 - -37427.5. What is the biggest value in -1\/4, x, v?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 463 is divided by 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*d + 3*d - 30 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -74530 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 47 + -34. Suppose -2*p - r = -3. Let i = -7.9 - -7.7. What is the biggest value in i, -0.4, p?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -624 - 232 = -2*u. Suppose 2*a = -3*q + u, -2*q + 432 = q + 3*a. Suppose -9*t + q = -4*t. What is the remainder when t is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*z = -78*z - 588. What is the least common multiple of z and 14?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2956474 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 34\/(-80) - (-4)\/30. Let m = u - -1\/8. Let n = 382\/5 + -76. Sort n, m, -2\/3 in increasing order.\nAnswer: -2\/3, m, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 55, 112, 171, 232, 295, 360, 427?\n\"Answer: j**2 + 54*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - z + 12 = 0. Suppose -74 = z*l - 2*j, 0*l + 3*l = 5*j - 86. Let v = -11 - l. Does 4 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -26*f + 2. Let d(b) = -830*b**2. Give m(d(x)).\nAnswer: 21580*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y**2 + 70*y - 3. Determine b(-35).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6600000 rounded to the nearest 100000?\nAnswer: 6600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-105)\/(-35)*3\/(-18)*-88\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1.21 + 591\nAnswer: 589.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-3) - 686\/6. Suppose 0 = -i - 4*i - 1070. Let t = i - h. What is t rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -5 + (5 - 4\/2) - -195. Let z = y + 369. List the prime factors of z.\nAnswer: 2, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 + p - 4. Let c be o(-6). Let m be ((-2)\/(-2))\/(2*(-3)\/12). Let d be m\/10*3*(17 + -22). Solve i = 5*r + 3 - c, 4*i = -d*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rb when two letters picked without replacement from bbbbbrr?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1015143.\nAnswer: 3, 523, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m**5 - 11610*m**4 - 8687185*m**3 - 2054372860*m**2 + 4134853740*m - 2071782080 = 0.\nAnswer: -914, -496, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w. Let f(i) be the second derivative of -84*i**3 - 156*i - 4. Give f(x(k)).\nAnswer: 504*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 3*t = 8*t - 1309, -5*p + 3*t = -2125. Let y = p - 199. Calculate the remainder when y is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-42 - -42)\/(-2 - 1). Let u be (-2)\/10 - ((-6)\/15 - l). What is the third smallest value in u, 2\/13, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 2 + 0)*(3*x - 11*x + 2*x)*(0*x**2 - x**2 - 2*x**2).\nAnswer: 90*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.11 or -2\/31849?\nAnswer: -2\/31849","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89675 = -608*y + 591*y. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/12*0)\/(5 + -1). Let x(v) be the first derivative of 21 + m*v + 7\/3*v**3 + 8*v**2. Find the second derivative of x(s) wrt s.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 46707173 and 1178.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7.5 in -17, -1, -202?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 5*i. Let t(u) = 107446*u. What is t(x(n))?\nAnswer: 537230*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/2, 0.3, -1\/3, -1\/16?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/4 - 6*b + 25\/4.\nAnswer: -(b - 1)*(b + 25)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4517394?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z + 20. Let b(s) be the second derivative of -s**4\/12 + 9*s + 2. Give r(b(q)).\nAnswer: q**2 + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 98, 87, 76?\n\"Answer: -11*a + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - 30\/(-6) - 4) + 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - (-40)\/(-35))*(-210)\/(-60). Sort -2275, 0, t.\nAnswer: -2275, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129210070597 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, k: 9, l: 2}. Give prob of sequence llkk.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 45 and 60?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -600 = -24*j - 408 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 702*d - 4*l + 47 = 707*d, 0 = -2*d - 5*l + 46 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -65322 - -2537?\nAnswer: -62563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-28)*-1*(-334)\/(-167)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**3\/5 + 312*t**2\/5 - 684*t + 1760.\nAnswer: 4*(t - 5)**2*(t + 88)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14083*o + 14063*o = 900 for o.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 6344, 26054, 58898, 104876, 163988?\n\"Answer: 6567*r**2 + 9*r - 232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/v**6)\/((v\/v**(2\/19))\/v))\/(v**(-2\/11)\/v*v\/v**3*v) assuming v is positive.\nAnswer: v**(-358\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18495345 by -2845.\nAnswer: 6501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-7 + 8 - 8) + 1\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-2 + 3 - 2)\/(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 35 + -31. Put 0.1, g, 0.08, 1 in increasing order.\nAnswer: 0.08, 0.1, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((0 + -3)\/(-1))\/((-34)\/(-374)). Calculate the greatest common factor of 2838 and u.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 99225 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 234.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in seven eighths of a second?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 556, -4, -2\/7, 6\/19, 2 in ascending order.\nAnswer: -4, -2\/7, 6\/19, 2, 556","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g - 2. Let n be l(3). Let q(m) = 8*m**2 - 4*m. Let d be q(3). Let b(y) = -63 - d + 117 + 5*y. Let x(k) = k - 1. Give n*b(p) - 4*x(p).\nAnswer: p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (104008\/6)\/(4\/6). Suppose -g + 20803 = -4*x + 2*g, 2*g = 5*x + a. Round x to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-8\/5)*h)\/h**(1\/46))**5 assuming h is positive.\nAnswer: h**(-143\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6585\/(-878))\/((-1)\/2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d, 1 i, and 1 t when four letters picked without replacement from idttitqidqijqiqt.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 10743 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -261*o**4 + 1028*o**2 - 8*o - 180101366?\nAnswer: -1044*o**3 + 2056*o - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 4 = -1. Let m be (6\/(-4))\/p*4. Suppose 56 = 5*j - 4*r, 22*j + 40 = 26*j - 2*r. Solve -4*g + 2*x + j = 0, -3*g - x + m = x for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 + (-528)\/36 + 16\/15\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16094183 to the power of 1\/2, to the nearest integer?\nAnswer: 4012","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15458.\nAnswer: 2, 59, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 0 - 18 - 63*z - z**2 + 48*z. Let d be w(-7). What is the highest common factor of d and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z + 10. Let x(q) = -6*q**2 + 2*q - 2. Let s be x(1). Let w be h(s). Solve -3*y + d - 7 = 0, 5*y - 4*y + w*d - 15 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 7:04 AM?\nAnswer: 7:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 170584 - -2?\nAnswer: 170586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qkskskkssqkokszkw. What is prob of sequence zqk?\nAnswer: 7\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7981 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) -2\/1033 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -17 + (-40 - -57).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 257530 a multiple of 182?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -154*g**2 + 4*g + 159. Let f(u) = -155*u**2 + 3*u + 159. Suppose 0 = -5*o + 9 + 11. Let j(z) = o*f(z) - 3*n(z). Differentiate j(w) with respect to w.\nAnswer: -316*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 735.3901ml in litres?\nAnswer: 0.7353901","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.04 - 0.04. Let j = 914\/15 - 184\/3. Is f <= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - -3)\/(7\/14). Suppose 8 = -b*q - 8. List the prime factors of (-1 - q) + 4*17.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 459, 917, 1375?\n\"Answer: 458*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10856 to the power of 1\/2, to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 100*k + 109. What is o(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 1048*h + 73428. Determine y(-70).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o + 3*o + 30235 = 5*a, 5*a + 12094 = 2*o. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -52508, -104635, -156010, -206255, -254992, -301843?\n\"Answer: 63*h**3 - 2*h**2 - 52562*h - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 451554.8 centuries to decades.\nAnswer: 4515548","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24301\/3 + -8099. Let z(h) be the first derivative of -2\/9*h**3 - h**2 - p*h - 42. Determine j, given that z(j) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22.335 - 7.1111. Let x = p - 0.1759. Let w = 15 - x. Round w to 2 decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 194*m + 281. Is t(19) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 7, d: 1}. Give prob of picking 2 i.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 175 = 3*l, l = -0*l - 5. What is the highest common factor of 5384 and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1687 - 74?\nAnswer: -1772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o, 1 u, and 1 z when four letters picked without replacement from gquuxozo.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fv when two letters picked without replacement from {o: 2, k: 3, z: 3, f: 1, v: 4, d: 3}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from anggaggngn. What is prob of sequence ggga?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/2 - 2\/12*27?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (9 - (-21)\/(-2))*-2. Suppose -4*i + 668 = -4*w - 4, 5*w = r*i - 494. Is i a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -12*n + 4. Let s be a(-2). Suppose -26*o = -s*o. Solve 6*r - r + 5 = o for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 30 + -27. Let q(g) = -35 + 20*g**2 + 2*g**3 - g**2 - r*g**3. Is q(18) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15 in -1, -0.2, 1\/6, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 32 + -35. Let b = n - -6. What is the remainder when b is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 624 and 8?\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*u - 12*u + 21*r + 5 - 22 = 0, 6*r + 10*r = -5*u + 26 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u**2 + 9*u - 4. Let c be l(4). Suppose 5*q + 2*n = 7*n + 25745, c = 5*n + 10. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2079 is divided by 80.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 2 = -p, 4 = o + 3*o - 2*p for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 431 = 11. Let w(t) = 2*t**3 + 4*t**2 - 7*t - 6. Let c be w(-4). Let k = c - p. List the prime factors of k.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 22*z. Let c(m) = -2*m**2 + 77296*m. Determine c(v(i)).\nAnswer: -968*i**2 + 1700512*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v = -7*v + 311. Let p = v - 115. What is the greatest common divisor of 49 and p?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -49 - -547. Let a = v + -291. Suppose -207 - 8*d + a + 3*d**3 - 3*d**2 + 2*d = 0. Calculate d.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 30, 70, 114, 162, 214, 270, 330?\n\"Answer: 2*m**2 + 34*m - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + 557?\nAnswer: 561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36680.\nAnswer: 2, 5, 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -159257, -318513, -477769, -637025, -796281, -955537?\n\"Answer: -159256*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/u**18)\/u**(-2))\/(u**(-1)*u**8) assuming u is positive.\nAnswer: u**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 4:38 PM?\nAnswer: 4:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 11*h + 5. Suppose 2*m + 45 = 4*q + 7*m, -5*q + 45 = 4*m. Let v(b) = -5*b - 2. Calculate q*v(p) + 2*z(p).\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 5*s - 54 = -5. Which is bigger: s or -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -240*c - 118*c + 261*c + 1347 = 5615 for c.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(2)*1)**2 + 3 - (sqrt(2) + (sqrt(2)*2 + 2)**2)) + (-5*sqrt(42)\/sqrt(3))\/(sqrt(336)\/sqrt(3)).\nAnswer: -149*sqrt(2)\/4 - 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 + 3*z - 2. Suppose 22*w - 3*w = 0. Let o be j(w). Let v(m) = -3*m**3 + 2*m - 2. Let p(r) = -2*r**3 + 3*r - 3. Calculate o*p(t) + 3*v(t).\nAnswer: -5*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -82 + 280?\nAnswer: 1dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -17512*m - 34905 wrt m.\nAnswer: -17512","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*(n*n\/n**(-10\/3)*n*n)\/n)\/(n\/(n**(-2\/89)*n)) assuming n is positive.\nAnswer: n**(1952\/267)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 divided by -6?\nAnswer: -88\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 253 is divided by 55.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4010110 + -1104?\nAnswer: -4011214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 24559732?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nng when three letters picked without replacement from vngng?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 4*w, u - 2*w = 4*u - 49. Let z = u + -16. Suppose -z*y = y - 60. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 27315, 26941, 26567, 26193, 25819, 25445?\n\"Answer: -374*c + 27689","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2*s**2. Suppose 5*b - 95 = -5*k, 39 = -0*k + 2*k + 3*b. Suppose 4*h = 2*m + k, -2*h - 3*m = 5 - 2. Let l(a) = -3*a**2 + 3 - h. Give l(c(u)).\nAnswer: -12*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*d - 2 + 2)*(-11*d**2 - d**2 + 4*d**2) + (8*d + 7*d + 3*d)*(2 + 2 - 3)*(-2*d**2 - 6*d**2 + 5*d**2) in the form h*d**2 + u*d**3 + o + n*d and give u.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.0852 + 2.9148. Which is the third biggest value? (a) p (b) 9 (c) -6 (d) -5\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*y = 2*y + y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2))**(1\/4))**42 assuming l is positive.\nAnswer: l**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*d + 897 = -55. Is d a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 200514565?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 334 divide 186706?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2103528 and 996408.\nAnswer: 18931752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuuw when four letters picked without replacement from ppuapuapupapwau.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -0.038\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23 + 25. Suppose 0 = f*g - 6*g. Suppose g = 3*t + 2*p - 4151, 398 = t - 2*p - 975. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 4. Let o be 1\/q - 15\/(-10). Suppose 2*g = 9 - o. Solve g*y - 3 = 1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a millennium in years?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 121003 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -325116*a**2*k**3 + 26*a*k**3 - a*k**2 - 383*a - k wrt a.\nAnswer: -650232*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -z**3 + 24*z**2 + 411*z - 910 = 0. Calculate z.\nAnswer: -13, 2, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1244 - -5?\nAnswer: 1253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14265203?\nAnswer: 2269, 6287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (4 - (2 - 1 - 0)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*b - 98 + 47 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9370.989um in meters?\nAnswer: 0.009370989","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-252))\/((-12)\/48).\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 784 + -779. Suppose -5*u + 15 = 0, -20*u = 2*l - 19*u + z. Let n(g) = 3*g - 5. What is n(l)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1504085)\/17835)\/((-11)\/3)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 2 + 0)*(-192 - 181 + 145)*(0*z + 3*z - 4*z) to the form m + p*z and give p.\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1113173 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.778561 milligrams to micrograms.\nAnswer: 7778.561","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 554?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-64)\/96)\/((-2)\/6)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.05137855882008 and 2.\nAnswer: 1.94862144117992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 91*l**5 - 11*l**4 - 1230*l**3 + 5*l**2 - 61303 wrt l?\nAnswer: 5460*l**2 - 264*l - 7380","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5661\/10972 at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-310 + (-550459)\/(-1771))\/((-3)\/(-77))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -928 (base 15) to base 6.\nAnswer: -13315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**2 - 166*r**3 + 167*r**3 - 11*r**2)*((-5 + 0 + 3)*(-r + 0*r - 3*r) + 9*r - 6*r + 13*r).\nAnswer: 24*r**4 - 288*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 288167080 and -87808?\nAnswer: 288254888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 57*y = 60*y - 52, -2*y = 2*r - 28. What is the smallest common multiple of 281 and r?\nAnswer: 2810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1292\/33 - 21603\/550. What is the common denominator of z and 113\/10?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2963167, -2963193, -2963303, -2963539, -2963943?\n\"Answer: -7*l**3 + 23*l - 2963183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -15 in -0.4, -2, 4, 54?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3229\/120 - -167\/6. Find the common denominator of r and 17\/18.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 27*t + 29*t - 24 = 0, -s + 5*t + 17 = 0. Let n(u) = -11*u + 1. Give n(s).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.167 in -600, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.123 + 0.074. Let u = -0.0432 - o. What is u rounded to three decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence udku when four letters picked without replacement from {u: 2, d: 3, p: 4, k: 6}?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1456934.\nAnswer: 2, 17, 73, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/12*2\/(-15))\/(125\/(-2250))?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 1243*o - 1987. Calculate k(2).\nAnswer: 499","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 - -16. Suppose -4*y + z*y = 0. Suppose -16 + y = -4*m. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-3) - (-39)\/9. Suppose 2*q - o = -0*q. Let h(u) = u - 3*u**2 + 2 + u**q + 0. What is h(2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j - 1218*j**2 + 408*j**2 + 3*j**3 + 427*j**2 + 383*j**2 + 0*j.\nAnswer: 3*j**3 - 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 420 = 50*q - 30 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.01 and 4584359.42.\nAnswer: 4584359.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 92\/585 and 103\/1560?\nAnswer: 4680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 2 q, and 1 k when four letters picked without replacement from fkqztkqkkkkqk.\nAnswer: 21\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1001 (base 2) to base 14\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + 1 + 2*sqrt(76) + -5 + 2)*-5*3 + -2 + -3)**2.\nAnswer: -4800*sqrt(19) + 70000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -191?\nAnswer: 2\/191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r + 1 - 1)*(-5 - 6 + 4 - 7 - 3 + 0 + 5 - 1 - 2 + 2 + 3 - 3 + (0 - 1 + 2)*(-3 + 1 + 0) - 2 + 1 - 1 + 3 + 0 - 1).\nAnswer: -15*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5172, -10369, -15566?\nAnswer: -20763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 8*g**2 + 5*g + 5. Let w(r) = -12*r**2 - 8*r - 8. Let h be (1 - (-1 - -3)) + 6. Determine h*w(x) + 8*i(x).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = -10*g, 6*n - 12 = 5*n - 5*g for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 1396470*h. Let t(v) = -11*v - 4. Give t(y(q)).\nAnswer: -15361170*q - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-4)*(-4)\/(-18). Let n be (-16)\/56 - 1\/(-21)*-148. Let d = 151\/21 + n. Which is the closest to -1? (a) t (b) d (c) 5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5554022?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j - 5*a + 35 = 15*j, 5*j - 4*a = 98. Calculate the remainder when 9\/(1\/216*4) is divided by j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 + 11*p**2 - 10*p + 29. Let d be y(-12). Sort 0, -24, d in descending order.\nAnswer: d, 0, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -7*p**3. Let x(w) = -w**2 - 6*w - 5. Let q be x(-6). Let h(j) = -9*j**3 - 12*j**3 - 8*j**3 - 17*j**3 + 25*j**3. What is q*h(b) + 14*o(b)?\nAnswer: 7*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 AM and 4:45 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/2640050 and 119\/20.\nAnswer: 5280100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20 + 19.7. What is the closest to -0.01 in w, 0.1, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3787 - -3792. Let y(c) be the third derivative of -10*c**2 - 1\/14*c**4 + 0 + 2\/105*c**q + 0*c + 0*c**3. Find m, given that y(m) = 0.\nAnswer: 0, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 38? (a) 0.2 (b) -5 (c) -1\/8 (d) -0.3 (e) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 748\/22*((-110)\/10)\/(-11)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 + 7*k - 1. Let g be u(-7). Let l = 2 - g. Suppose -l = 4*w - 11. Solve -d + w*d + v = -1, -v = -2 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 98*j - 271. What is the units digit of y(24)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x + 7. Suppose -21*o + 60 = -9*o. Give w(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*g = -1061 + 3236 for g.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(1377))*-1 + sqrt(1377).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24 and 20222772?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 3564.48.\nAnswer: -3564.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/5 - (-37)\/5. Suppose 123 = -12*w + 147. Let v(i) = 0 - 12 + c - w*i. Calculate v(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 - -29. Does 3 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((132\/(-20))\/(-11))\/3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7*9\/(-18)*-2*70. Which is the smallest value? (a) h (b) -4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/1100 and -17\/4400.\nAnswer: 4400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7.18 + -58.41. Let d = -51 - f. Let b = d - 0.43. What is the third biggest value in 0.5, 4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2211 and 455079?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4635*u**3 - 32*u**4 - 4635*u**3 + 2*u - 195 with respect to u.\nAnswer: -128*u**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*-239019\nAnswer: -478038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1217.3 - -1219.3. Put j, -3\/4, -4, -0.4, -2\/15 in decreasing order.\nAnswer: j, -2\/15, -0.4, -3\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -3.97?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 164 + -106. Let z be r + (-5 + -2 - -4). What is the greatest common factor of 11 and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -624804262, -624804260, -624804258, -624804256, -624804254?\nAnswer: -624804252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -3*f - 25. Let u be 174008\/f - (-20)\/15. What is u rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2309092142 to the nearest integer?\nAnswer: 48053","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 192 is divided by ((-32)\/(-14) - 2) + 11571\/147 + -23?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as -2\/1517769?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 156 is divided by 53.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, -134, -56 in decreasing order.\nAnswer: 4, -4, -56, -134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 - 5*w**2 + 4*w + 3. Let x be q(4). Solve -5*i = -x*k + 6, -i = 3*k + 2*k - 10 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (184\/80 - 2)*5\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2*t + 1. Let y be d(-1). Suppose -3*n - k = -n - 143, k = y. What is the highest common factor of n and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dvcv when four letters picked without replacement from bvvudubdduvbvcbuubvb?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1, 1, 5, 11, 19?\n\"Answer: j**2 - j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 142402929.3 to the nearest ten thousand.\nAnswer: 142400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 14799972.98 and 353288?\nAnswer: 14446684.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82990 = -108*v + 48878. Does 7 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 484, 3 in ascending order.\nAnswer: -5, 3, 484","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3 + 746*s**2 - 6114*s - 6858.\nAnswer: 2*(s - 9)*(s + 1)*(s + 381)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6.0278 + 6.02780024861. What is z rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 5:52 PM?\nAnswer: 3:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -209 - -232. Calculate the greatest common factor of s and 529.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 573?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 AM and 9:25 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1*-5)\/(0 + -1). Let z(v) = 7*v - 7. Let a(s) = 6*s - 6. Let x(m) = -8*m**2 - 166*m + 620. Let l be x(-24). What is c*a(r) + l*z(r)?\nAnswer: 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = 12 - 12 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 PM and 12:49 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 23*k = 28*k + 55, -6 = -4*l - 2*k for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2679846*i**6 - 2*i**3 - 4*i**2 - 2175480*i?\nAnswer: -321581520*i**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 448?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9725674?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + 0 - 0) + -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, -2\/9, 4, 25, 2 in ascending order.\nAnswer: -1\/4, -2\/9, 2, 4, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -7, 12, 1\/5, 2\/3, 3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -147*q**3*t**3 - 4*q**3*t + 6*q**2*t**3 - 4*q*t**3 - 216*t**2 wrt t.\nAnswer: -882*q**3 + 36*q**2 - 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 139371558?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.1 (b) 0.4 (c) -0.2 (d) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 i when three letters picked without replacement from {q: 1, w: 2, m: 2, i: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -52, 5, -3, -2, 367 in descending order.\nAnswer: 367, 5, -2, -3, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -15374 and 0.27.\nAnswer: -4150.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 l when three letters picked without replacement from kddkkkdkkkkldlkkkdd?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 605.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -4.6. Let r = -0.2 - -0.2. Let j be (22\/55)\/(2\/5). What is the closest to j in g, -3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13\/16719 or 10\/11?\nAnswer: -13\/16719","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-235)\/40 - 2\/(-2)*8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + -3322222010303?\nAnswer: -3322222010320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of (-4 - (-2)\/(-2) - -1) + 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1149 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -2) + (-10 - -6) + 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 28 = 4*x. Let u be (-123)\/x*(0 - 8\/(-3)). Let q = -24 + u. List the prime factors of q.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 14*q - 3. Let v(c) = -140*c + 8. Let j(z) = z - 3. Let l(g) = -40*j(g) + 5*v(g). Let h(a) = -3*l(a) - 160*p(a). Let b(x) = -7*x. Determine h(b(f)).\nAnswer: 140*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeedssaeesasii. What is prob of sequence ai?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-28 - -9 - -15)*53. Which is smaller: -213 or l?\nAnswer: -213","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*v + 31 = -53 - 35 for v.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/10 of a gram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f, 4*h - h = -5*f - 108. Let q be h\/54 - 3521576\/6. Let v = q - -338930. Round v to the nearest 10000.\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**4 - i**3 + 2095*i**2 + i - 14952. Let u(j) = -j - 10. Let r(y) = b(y) + u(y). Find the first derivative of r(o) wrt o.\nAnswer: 4*o**3 - 3*o**2 + 4190*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 3*r**2 + r - 2. What is the hundreds digit of g(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 + 45\/12)*-8. Let g(k) = 3*k - k - 1 + 7. Determine g(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3313 is divided by 27?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24 + -15. Suppose v + 0 = i. Calculate the lowest common multiple of 8 and i.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-2*sqrt(17))**2 - (0 + sqrt(833))**2) + 4 + (sqrt(153)\/sqrt(576) - (-2*sqrt(170) - sqrt(170))\/sqrt(10)) + 0.\nAnswer: -757 + 25*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - -104045144?\nAnswer: 104045152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -44 - -55. Let n(y) = -3*y + 26. Let a be n(8). Sort -3, g, -5, a in increasing order.\nAnswer: -5, -3, a, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 72 = w, -w - 3*w - 4*m - 192 = 0. Let r = -31 - w. Find the first derivative of r - 16 - 6*o**3 + 2*o**2 - 2*o**2 wrt o.\nAnswer: -18*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 5*w = -2 - 35, 0 = -3*x - 5*w - 13. Suppose -v + 121 = i, 0 = x*i - 4*v - 632 + 188. Suppose 4*u + i = 5*u. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 148629809 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (333*v + 56*v**2 - 333*v + 4)*(1 + 0 - 3).\nAnswer: -112*v**2 - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.2 (b) -0.1 (c) -1\/1369 (d) 0.03 (e) 0.27 (f) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 0.16666.\nAnswer: 0.016666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 1 + 5)*(s**2 - 5*s**2 + s**2) + 4266 - 4266 - 272*s**2 as x*s + d + a*s**2 and give a.\nAnswer: -281","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2323 is divided by 426?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 108?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ip when two letters picked without replacement from frfcgcip.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 18 + -244781?\nAnswer: -244763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -42790027 at least as big as -85580055\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 12378*t**2. Let o(l) = 5*l. Give c(o(s)).\nAnswer: 309450*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 645168 divided by 6\nAnswer: 107528","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dtf when three letters picked without replacement from {d: 3, o: 2, w: 2, t: 2, f: 1, k: 2}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -8775, -10428, -13183, -17040, -21999, -28060, -35223?\n\"Answer: -551*p**2 - 8224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 228, 528, 1040, 1770, 2724, 3908, 5328?\n\"Answer: j**3 + 100*j**2 - 7*j + 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 43*u + 50547 = -44*u, 75775 = 3*o + 5*u. What is the ten thousands digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 407 - 407. Solve -2*s + x*f = 3*f + 13, -5*f = 5 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 58, 288, 664, 1180, 1830, 2608, 3508?\n\"Answer: -k**3 + 79*k**2 - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1237721?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1352410804?\nAnswer: 2, 19, 17794879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 52104 - 52102. Let w = -2\/45 + 49\/90. Determine f so that 1\/2*f**o - 1\/2 - 1\/2*f**3 + w*f = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 639433 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -27*q - 31. Let g(r) = 39*r + 45. Let p(f) = 10*d(f) + 7*g(f). Let y(k) = -22*k**2 + 4*k. Determine y(p(w)).\nAnswer: -198*w**2 - 648*w - 530","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -5*4*(-3 + ((sqrt(10) - (sqrt(10) - sqrt(2940)\/sqrt(6)))\/(sqrt(24)\/sqrt(432)))**2).\nAnswer: -176342","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24867681.\nAnswer: 3, 487, 17021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 516200475*o**3 - 293077635?\nAnswer: 1548601425*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 170712 by -170712.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that k**4\/6 - 644*k**3 - 5163*k**2\/2 + 32848*k\/3 + 38680 = 0.\nAnswer: -5, -3, 4, 3868","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -8. Let d(j) = 3*j**3 - 7*j**2 + 10*j - 1. List the prime factors of d(b).\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1 (b) -4 (c) -3 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 - 2*v + 6. Let u be 33\/18 + (-55)\/66. Let c(a) = a - 1. What is u*w(p) + 6*c(p)?\nAnswer: p**3 + 4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 156 = -4*v, 5*v + 2*u = -u + 195. Suppose -64 = -3*m - 5*h, -4*h - 12 = -32. Calculate the highest common factor of v and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6.765651 decades?\nAnswer: 67.65651","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Put 5, -11, 17, 2368, 8 in ascending order.\nAnswer: -11, 5, 8, 17, 2368","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-420)\/(-7)*(-17)\/(-68)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*c + 19 = -18*c + 3*m, 2*c = 3*m - 7 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 p when two letters picked without replacement from qrqrrqgrqpgqjrr?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 213*c - 409*c + 8704 = -322*c - 146*c for c.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 2*i + 8 = 0. Let d(x) = -13*x**2 + 12*x**2 - 10*x - 1 - 5. Calculate the smallest common multiple of i and d(-6).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 5:19 AM?\nAnswer: 2:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 551 and -573.24.\nAnswer: -315855.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2*u**2 + 16*u + 10. Let w(p) = -2*p**2 + 15*p + 10. Let o(i) = 5*s(i) - 6*w(i). Suppose 11*b - 14*b + 27 = 0. What is the units digit of o(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p**3 - 9*p**2 + 5*p. Let q be y(4). Let r(t) = -t**2 + 2*t - 1. Determine r(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -414 - -414. What is the tens digit of (882 + h)*(2 - (-15)\/(-10))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q - 5*q + 0*q + 2*q + 2. Let o(f) = 2*f - 4. Give -2*o(p) - 5*x(p).\nAnswer: p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 5:52 AM?\nAnswer: 7:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -149*l**2 + 672*l**2 + 499*l**3 + 519*l**3 - 200*l**3 + 147*l**2 wrt l?\nAnswer: 4908","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of f**5\/60 + f**3\/6 + 5*f**2. Let u be y(3). Suppose 0 = -0*z - 20*z + 1100. Calculate the greatest common divisor of u and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100 (base 2) to base 8\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 408.046 * -0.3.\nAnswer: -122.4138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 64*w**4 - 17*w**2 + 48*w - 10540. Let p(u) = 42*u**4 - 11*u**2 + 32*u - 7024. Let t(v) = 7*c(v) - 11*p(v). What is the derivative of t(f) wrt f?\nAnswer: -56*f**3 + 4*f - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57603 is divided by 350.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/378 and 79\/41958.\nAnswer: 41958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8026*v + 6708*v. Suppose -5*c - 2*u = -u - 20, -5*u = -25. Sort -4, c, v, 162.\nAnswer: -4, v, c, 162","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 35, 65, 103, 149, 203?\n\"Answer: 4*i**2 + 18*i + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -3*v - 20. Let u be d(-6). Let m be (16\/5)\/1 + u. Factor m*t**3 - 4\/5*t**2 + 0 - 2\/5*t**5 + 0*t**4 + 0*t.\nAnswer: -2*t**2*(t - 1)**2*(t + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 8 = s, 2*k + 20 = 6*s - 2*s. Let c be (1\/k)\/((-2)\/(-8)). What is the units digit of (1\/2)\/(c\/(-40))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**2 - 61272*b.\nAnswer: 3*b*(b - 20424)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.024 times 65.7612?\nAnswer: 1.5782688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 108108 divided by -9828.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.9*10.8.\nAnswer: 9.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 11 + 10 + -14 + (0 - -4 - -4)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 9, c: 5}. Give prob of picking 3 d.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*((-36)\/(-20))\/3.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mkllwlxllkgkk. Give prob of sequence xmw.\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66 + 36 - 160*l - 152*l + 313*l + 7.\nAnswer: l + 109","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.171 in -3, 9, 3\/5, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 + -31. Let g = s + 12. Let c be (1 - 3)*(g - -6). Sort c, -3, 2 in ascending order.\nAnswer: -3, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = -13 + 45 for j.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -472 - 7371632?\nAnswer: -7372324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -180, -173, -162, -147, -128, -105, -78?\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1824754?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 116\/(-87)*3\/(-42)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6885.451 milligrams in micrograms?\nAnswer: 6885451","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.082 in -1, -0.6, -186?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + ((-21048)\/(-20) - (-9)\/15). Let o(y) = y**3 - 12*y**2 - 9*y - 10. Let j be o(9). Let h = j + l. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -12*c + 25. What is i(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4, -0.51, -5, 609, 5?\nAnswer: 609","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 89 + -85. What is the second derivative of 34*v**5 - 20*v**4 + 34*v**4 - 12*v**m + 3 - 16*v + 10*v wrt v?\nAnswer: 680*v**3 + 24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by 29?\nAnswer: 9\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 - 11*t + 8. Let q be v(-10). Let y = 22 - q. Solve -15 = y*d - d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -290 - -290.00000223. Round f to 7 dps.\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1213?\nAnswer: 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4033601*p**4 - 184786 wrt p?\nAnswer: -16134404*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 2307172 = -12231728. Suppose 0 = 8*y + o - 12966300. What is y rounded to the nearest one hundred thousand?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 3 + 40 + 2 + 16 + k**2 as f*k + x*k**2 + j and give j.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 35 - 34.83. Let l = i + -0.07. Which is the biggest value? (a) l (b) -0.2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1838277 is divided by 276?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 497617746?\nAnswer: 2, 3, 353, 234947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2\/142399 + 15236873\/12815910. What is the common denominator of i and 103\/12?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13634.860855 - -37379.43739. Let b = 23851.57653437 - t. Let w = b + -107. What is w rounded to seven decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30321 and 55207803?\nAnswer: 3369","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16037 + 80834. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of -1\/3*u**3 + 3\/2*u**2 + 7*u + 4. Give r(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -1. Let p = 78 - 77.979. Let k = -2.021 + p. Which is the closest to k? (a) 0 (b) -0.1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-1\/7)*o*o**(-2\/19)\/o assuming o is positive.\nAnswer: o**(-33\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -21*h**3 - 3*h**2 + 3*h - 3. Suppose 4*d = -3*m + 26, d - 2 = 3. Let t be a(m). Let q be (-2)\/7 - t\/7. Solve 5*i - g + q = -5*g, 2*g = -i - 11 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 13 + 0 - 1428*v - 16.\nAnswer: -1428*v + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-80)\/(-24))\/10)\/(1\/(-4)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that y**3 - 22*y**2 - 455*y = 0.\nAnswer: -13, 0, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 25413522 + -10?\nAnswer: 25413512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 18\/117 + 16800\/(-26). Let h = t + 10988\/17. Which is smaller: h or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2756259253 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -23 - 3244?\nAnswer: -3311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (21 + -27)\/((-6)\/50). Let m(f) = f**3 + 5*f**2 - 11*f - 9. Let x be m(-7). Is 443\/5 + x\/s a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p - 803304. Let t(y) = 14*y**2. Calculate l(t(a)).\nAnswer: -14*a**2 - 803304","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2057388 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-3 + (-5*(5 + sqrt(112)) + ((sqrt(56)\/sqrt(2))**2 - sqrt(7))*-3)*5 + -5).\nAnswer: -1106 - 170*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 9. Let s(f) = 15 + 4*f**2 + f**q - 12 + 0*f**3. List the prime factors of s(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 14*m**5 + 6254*m**4 + 515610*m**3 - 684070*m**2 - 894184*m + 299256 = 0.\nAnswer: -337, -111, -1, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 0 + 5*g**2 - 1 - 4*g**2. Let k(n) = n - 9. Let r be k(8). Let c(o) = 14*o**2 - 6*o - 5. Let x(l) = r*c(l) + 6*f(l). Factor x(q).\nAnswer: -(2*q - 1)*(4*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 91674?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1057399, 2114788, 3172177, 4229566, 5286955, 6344344?\n\"Answer: 1057389*o + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -3*j**2 + 5*j + 1. Let q be f(4). Let z(l) = 5*l + 51. Let p be z(8). Let i = q + p. Calculate the remainder when i is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*t**2*w*y**3 - 2*t**2*y - 3*t*y**3 + 15*w*y**3 + 21*w*y - w + y wrt y?\nAnswer: 12*t**2*w*y - 18*t*y + 90*w*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**(-1\/4)\/b*b)**44\/(b\/((b\/(b\/((b*(b\/(b*b\/b**(-2))*b*b)\/b)\/b)))\/b))**22)**(-36))**3 assuming b is positive.\nAnswer: b**5940","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 5*x + 11 = 3*c, 0 = -2*x - 2. Is 2 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20\/9 + -37\/18. Which is the fourth biggest value? (a) 0.08 (b) 5 (c) q (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -11135, -22270, -33405?\n\"Answer: -11135*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 49 - 45. What is the second smallest value in -0.5, -0.05, r?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f + 6. Let h be j(-6). Let s = -3 + h. Is s != -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69 = -14*s + 11*s - 19*q, 2*q - 6 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3\/3 - 68200*t**2\/3 - 8705024*t\/3 - 92766208.\nAnswer: -2*(t + 64)**2*(t + 33972)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-22)\/66*6\/8\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is c923 (base 13) in base 3?\nAnswer: 1102021212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(1\/4)\/(a**(3\/4)\/a))\/((a*a**(5\/3))\/((a\/((a\/(a*a\/a**2)*a)\/a)*a)\/a)))\/((a**(-2\/3))**(16\/5))**(-35) assuming a is positive.\nAnswer: a**(-461\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/2))**(-29)\/(h*h\/(h*h**(3\/4)*h)*(h*h**(-9))\/h)*(h\/((h\/(h*h*h**2))\/h)*h\/h**(2\/11))\/(h**(-1\/3)\/h)**(2\/3) assuming h is positive.\nAnswer: h**(12259\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 4, -2, 54.024 in decreasing order.\nAnswer: 54.024, 4, 0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**31*k*k)\/k*k*k**(-2\/23) assuming k is positive.\nAnswer: k**(757\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 224 and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c + 1. Let u be k(1). Let a(s) = s**2 - s + 46. Calculate the remainder when a(u) is divided by 3 - (-48)\/2 - 3.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 + 6*i + 7. Let o = -43 - -38. Let u be w(o). Solve y + 5*p = -3, 2*y - 6*p + 6 = -u*p for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 79061, 157859, 236657?\n\"Answer: 78798*u + 263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2*-12446\nAnswer: -24892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 425207781?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, 1657640, -24 in descending order.\nAnswer: 1657640, 0, -5, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -154*r**3 + r - 1. Let q be h(1). Let x be q\/(-4) - (-15)\/10. Calculate the highest common factor of 16 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 + 4*c**2 + 3*c - 5. Let j be f(4). Let o be 1 - -29 - 288\/32. What is the greatest common factor of j and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 36 or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1428.9079545 - 15.\nAnswer: 1413.9079545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3354543g to micrograms.\nAnswer: 335454.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -5*y - 2. Let t(s) = s. Let u(w) = d(w) + 6*t(w). Let v be u(2). Suppose 3*o - o - 18 = v. Calculate the remainder when o is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72859 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, t: 5, w: 5}. What is prob of picking 3 t?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -14 or 43.05?\nAnswer: 43.05","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 65.05601 days?\nAnswer: 5620839.264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 53068 by 7.\nAnswer: 53068\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + -3 + 4 + 2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 18c2d9 (base 15) in base 10?\nAnswer: 1205529","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3091, -6292, -9503, -12724?\n\"Answer: -5*b**2 - 3186*b + 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14\/((-476)\/51) - (-446)\/4 and 520.\nAnswer: 5720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*d + 172655 - 45723. Is 40 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -604, 414, 3140, 7568, 13692, 21506?\n\"Answer: -k**3 + 860*k**2 - 1555*k + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 427*y + 270*y - 84*y - 25427 = 2158 for y.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l = -2*l + 16. Let i(u) = -u**3 + u**2 + 5*u + 4. Let y be i(l). What is the greatest common factor of y and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.46 (b) 3 (c) -3 (d) -0.3 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - -116?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3472789773 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4357?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -41*z - 7. Let x be a(-5). Let u be (1 + x\/(-4))*-2. What is the units digit of u\/11 + (-2)\/(-11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 * -2463779\nAnswer: 17246453","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 10 = -30 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*j + 4 = 62*j. Suppose -j*b = -48 - 0. Suppose z - 11 = 2*g + b, 2*g - 127 = -5*z. Calculate the highest common divisor of z and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2364 = -13*u + 9*u. Suppose -16*d + u = 3*g - 14*d, -5*d - 591 = -3*g. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 33077 + 17101. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/(w**0*w))**3)**19\/((w*(w\/w**(1\/2))\/w)**26\/(w**(-3)*w*w*w**(1\/4)*w)) assuming w is positive.\nAnswer: w**(177\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -11*u + 0*u - 2*u. Let a(m) = -2*m - 11. Let z be a(-5). Is 13 a factor of s(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 75 and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 229*r - 911. What is y(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1001111 + -10020?\nAnswer: 221021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -25, -19, -13, -7, -1, 5?\n\"Answer: 6*g - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*i + 12725 + 3669. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 4*k**2 - k - 1. Let v be d(-1). Solve v*i = i - 6 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 249287 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 - -24. Suppose -5*j - 93 + 673 = 0. Calculate the greatest common divisor of x and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 179 divided by 20?\nAnswer: 179\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 3:00 PM?\nAnswer: 5:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*d + 4*d. Let i(v) = v**3 + 3*v**2 - 3*v - 4. Let u be i(-3). Solve 0 = 2*x + d*w - 25, -u*x + 30 = 5*w + 5 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, k: 4}. Give prob of picking 1 k and 3 r.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z - z + z)*(-13*z**2 - 36*z**2 - 35*z**2)*(-9*z - 42*z + 17*z).\nAnswer: -2856*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -2*s. Let n(x) = 98*x + 1030534. What is l(n(c))?\nAnswer: -196*c - 2061068","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 408*s**2 - 82847*s - 87291801.\nAnswer: 816*s - 82847","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -33888 by 2824.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + 2425651?\nAnswer: 2425649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -300 divided by -2093\nAnswer: 300\/2093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjjwwwjww. What is prob of sequence jjwj?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/6 and -25\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -59, -57, -47, -23, 21, 91, 193?\nAnswer: 333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 763667.\nAnswer: 19, 40193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*87.5.\nAnswer: 8.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 80 = -c, 2*c = 824*i - 829*i - 100 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-8 - -10) + 4?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 1\/2 (c) -2\/7 (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 84740.91 rounded to the nearest one hundred?\nAnswer: 84700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 60913173983 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30 - -13. Let q = 15 + d. Let i(f) = -f**2 + 8*f - 6. Let y be i(7). Put q, y, -3 in descending order.\nAnswer: y, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-0.224.\nAnswer: 0.896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 94, 99, 108, 121, 138, 159, 184?\n\"Answer: 2*s**2 - s + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3597, 6182, 7741, 8286, 7829, 6382?\nAnswer: 3957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30831, -61487, -92151, -122829, -153527, -184251?\nAnswer: -215007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -7*z**4\/6 + 641*z**3\/6 + 2896*z**2\/3 + 1794*z + 600 = 0.\nAnswer: -6, -2, -3\/7, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is t in t**3\/3 - 4030721*t**2 + 12092162*t\/3 = 0?\nAnswer: 0, 1, 12092162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-4) + (110\/(-40) - -4). Let g be 1\/(2\/2 + 2). Let m = -62 - -307\/5. Which is the closest to 0.3? (a) g (b) m (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5084780471?\nAnswer: 73, 5479, 12713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -52 - -136. Suppose 4*c - 9*z + 6*z + 327 = 0, 5*c + 408 = 4*z. Let u = c + n. Solve 2*b + 3*t = -0*t - 3, u = 4*b - 3*t - 21 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3\/332 - -879\/830. Calculate the common denominator of y and 9\/(-48)*-86*6\/45.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1411855 divided by -6\nAnswer: -1411855\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of -o**4\/4 - o**3\/2 + o**2. What is the first derivative of d(c) wrt c?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7978414968 to the power of 1\/2, to the nearest integer?\nAnswer: 89322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -185760, -185758, -185756, -185754, -185752, -185750?\nAnswer: -185748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2539 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 26*k = 3*o - 254, -k + 3*k = -2*o + 28 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/342*135\/(-45))\/(2\/3)?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -1. Let p(j) = 2*j - 14. What is 6*n(y) - p(y)?\nAnswer: -2*y + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-40012)\/145758)\/((-3)\/34)?\nAnswer: 28\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 12 = 4*a, a - 5*v = -v - 3 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/58 and -15\/2.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 930, 1839, 2748, 3657, 4566?\n\"Answer: 909*y + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 573190?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1040?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -5*k**2 + 6. Let n = 23 + -17. Let t(a) = 11*a**2 - 13. Give n*t(j) + 13*z(j).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 7 = 6. Let j(p) = 3*p**3 - p**2 - 2*p**2 + 4 - 2*p**3 - 5*p. Let m be j(4). Is z less than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7955720*p + 6908531?\nAnswer: 7955720","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -271 smaller than -108?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 804\/11 - 9107\/110. What is the common denominator of h and 16\/(-4)*67\/12?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3632 or -3578?\nAnswer: -3632","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (11 + -4)\/42 - (-18)\/(-27). What is the nearest to 0 in -1\/8, -1, a, -1\/14?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 696*p + 65. Let v be 10\/(-105)*-7*(-75)\/(-10). Is d(v) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 111109176 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 95 or 91?\nAnswer: 95","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of -2*a**3\/3 + a. Let k(n) = n**3 + 7*n**2 + n + 12. Let d be k(-7). Determine l(d).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -16531 or -18332?\nAnswer: -16531","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 894, 893, 892, 891?\n\"Answer: -b + 895","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = -4*b - 32, 38 = -b + 35 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 AM and 10:22 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18238.\nAnswer: 2, 11, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 2*a + 172, -9*n + 3*a + 285 = -4*n. Is 21 a factor of 2\/9 + (30120\/n - 12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 140*o - 140*o + 5*o**2. Let r(n) = -6*n**2. Give y(r(u)).\nAnswer: 180*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -13 + (5 - (9 + -8)) + -1\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 75*n**3*o + n**2*o**2 - 2*n - 3*o**2 - 104 with respect to n.\nAnswer: 225*n**2*o + 2*n*o**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from eemeeemmeeeeemmeeee?\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 90236032*l**4\/3 - 263864352*l**3 - 61074648*l**2 - 4658310*l - 118098 = 0. Calculate l.\nAnswer: -27\/356, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 34*p**2. Let v(a) = -2*a. Let j(u) = 4*u - 11*u + 3*u + 5*u. Let k(i) = 13*j(i) + 6*v(i). What is k(m(l))?\nAnswer: 34*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37 + 25 - 58)*(-2*s + 5*s - s).\nAnswer: -140*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34450 (base 6) to base 15.\nAnswer: -16d6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 0.4972635ms?\nAnswer: 0.000008287725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 9 - 4 = 0. Let k = 1 - w. Suppose 0 = i - k*q + 5*q - 3, -i - 3 = -3*q. Solve i = -4*r + r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15a1613 (base 13) to base 16\nAnswer: -6a62cf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -17 + (8 + -4 - (-1 - 16))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 0 = 2*x. Suppose -2*t = -x*k + 248, -2*k = 3*t - 199 - 59. Suppose 0*o = 3*o - k. Calculate the remainder when o is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35 + (-36 - (-40 + 45))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (24 - 23)\/((-3)\/27)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -252730.7 to the nearest 1000.\nAnswer: -253000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -0.0814?\nAnswer: -0.03256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/9, -3.131, 6\/7, 4?\nAnswer: -3.131","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of 0*j**4 + 1\/3*j**3 + 0*j**2 - 3*j + 1\/5*j**5 + 0. What is the second derivative of g(s) wrt s?\nAnswer: 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 n when three letters picked without replacement from tcbnncpt?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -368*s + 6626. Determine l(18).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 68 by 34.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*u = -15*u + 796. Let k = -97 - u. Suppose 4*f - k - 198 = 0. Is 15 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 8:28 PM?\nAnswer: 8:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27490 + -27492. Let g be (3\/(-3))\/((-1)\/(-3)). Put g, 2, 0, q in descending order.\nAnswer: 2, 0, q, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 41*d**2 + 1 + 17*d**2 in the form w*d + n*d**2 + u and give n.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 577 + -575. Is z smaller than 298?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixteen ninths of a day in minutes?\nAnswer: 2560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2 - 24*v - 385.\nAnswer: (v - 35)*(v + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*m + 45*m = -4*i - 205985, 5*m - 343291 = -2*i. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 470489531?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2\/123 - -166\/123. Which is the nearest to -3? (a) -5 (b) d (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 - -11. Suppose 0*m - 3*m = -c*b - 4, -3*b = -m - 8. Suppose m*i - 258 + 7898 = 0. Round i to the nearest one hundred.\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - -3. Suppose 6*y - 18 = -2*k + b*y, 5*y - 20 = 0. Solve k*c = -21 + 6 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4201 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, -101, -6 in descending order.\nAnswer: 2, 0, -6, -101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -2484900 to the nearest 10000.\nAnswer: -2480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8613 and 196823?\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of -n**7\/315 + n**6\/36 + n**5\/90 - 5*n**4\/36 + 3*n**2. Find p such that o(p) = 0.\nAnswer: -1, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 5. Suppose -z*y + 3*y = 2. Let x be (-3 - -5) + 5\/y. Let p(d) = d**3 + 4*d**2 + d. What is p(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2. Let b(u) be the second derivative of 2*u**4\/3 - u**2 - 13*u. Give -b(g) + 10*v(g).\nAnswer: 2*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = w + 2*i + 3, -5*w + 3*i = i - 33 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 263309707.\nAnswer: 193, 1364299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3498?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 28.969 and -0.1?\nAnswer: 29.069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17323 = -262*v + 16799 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1016 (base 9) in base 14?\nAnswer: -3b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/w**(-1\/7)*w**(3\/10))**(-27) assuming w is positive.\nAnswer: w**(-4617\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 30038986361 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.25272059*-0.2.\nAnswer: -0.050544118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -138420000 rounded to the nearest one million?\nAnswer: -138000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -345427517197 + 345426984287.0000032. Let c = a + 532911. Let t = -1 + c. Round t to 6 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 90800737?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + 10. Does 3 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -157*f**4*j**2 - 53*f**4*j + 2*f**3 - 1958*f**2*j**2 + 10*f**2*j wrt f?\nAnswer: -3768*f*j**2 - 1272*f*j + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a + 16?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11551?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119 is divided by 16.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 99.38258 times -0.4?\nAnswer: -39.753032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*n - 243 = 79*n. Does 42 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.2, 3, 1.6, 2\/15 in increasing order.\nAnswer: -0.2, 0, 2\/15, 1.6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/432 and -91\/216?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7.6463 - 7.64599323. What is p rounded to 6 dps?\nAnswer: 0.000307","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*k = 68*k - 242. Calculate the remainder when k is divided by 17.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*f + 73 - 65 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/7005006 and 53\/322230276.\nAnswer: 322230276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-five halves of a kilogram?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/28*6*6\/9.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 - -14. Let o be (-14)\/16 + 58\/116. Suppose -2 = 2*k - 10. What is the closest to q in o, 2\/3, k?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10)\/(-14) + (-4)\/(-14). Let w(c) = -c**3 - 10*c**2 - 9*c + 2. Let n be w(-9). Let r = k + n. Let g(l) = l + 2. Give g(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 542197 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/27 in -1, 15, 5, 0.2, 1.36?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 35.00000005 + -35. What is d rounded to 7 dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8520163\/4 or 2130040?\nAnswer: 2130040","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of -2*p**6\/15 - p**5\/5 + p**4 + 2*p**3\/3 - 4*p**2 + 64*p. Suppose y(x) = 0. Calculate x.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w**5 + 705*w**4\/4 + 11660*w**3 + 343640*w**2 + 3833280*w + 937024 = 0 for w.\nAnswer: -44, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 4*n - 162, -3*c - 4*n - 263 = -6*c. List the prime factors of c.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 32 - 17 - 16 - 2*x. Let f(m) = -6*m - 2*m + 9*m. Let d(k) = k. Let h be d(1). Give h*j(u) + 3*f(u).\nAnswer: u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*(0 - 2)*(-2)\/2. Suppose 4*j + h*n - 1 = -n, -5 = n. Solve 2*x = 6*x + j for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33*-1494\nAnswer: -49302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add -1 and 267.\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of 323*d**3\/3 - 143*d. Let f(q) = -2*q. Give s(f(o)).\nAnswer: -1292*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7820, -7857, -7886, -7907, -7920, -7925?\nAnswer: -7922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4812*z + 6061*z - 966*z - 2467*z + 3573*z to the form l + r*z and give r.\nAnswer: 11013","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/(-4))\/(81\/(-162)). Let x(g) = -g. Let h(u) = -u + 15. Determine v*h(p) + 3*x(p).\nAnswer: -2*p - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -7453544 (base 8) in base 6?\nAnswer: -110341444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k = -11*k - 3. Which is the closest to -1? (a) -1\/4 (b) k (c) -8\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -7*d**3 + 6*d**2. Let l(k) = 152*k + 3945. Let p be l(-26). Let r(b) = 8*b**3 - 7*b**2. Give p*h(a) - 6*r(a).\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 + 131*s + 610. Let m be l(-5). What is the highest common divisor of 1616 and m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v = 6*v + 26. Is 5 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 + 3*q - 4. Let n(k) = 3*k - 3. Let x(j) = 3*i(j) - 4*n(j). Factor x(u).\nAnswer: 3*u*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (12\/(-2) + -84)\/(1*-1) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of 4*w + 1\/2*w**2 + 4. Let r be b(12). Solve -4*d = -0*d + r for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136 is divided by 79.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 166152899*t**2 - 164687916*t.\nAnswer: 332305798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w + 2. Suppose 4*t - 6 = -2. Let h(d) = -d + 1. Suppose 2*l - 3*l - 4 = 0. What is l*h(q) + t*m(q)?\nAnswer: 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 - 8. Suppose 6*d = n*d + 49200000. Round d to the nearest 1000000.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/1)\/((-5)\/15). Let z = -4 + a. Is 333\/5 + z\/5 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 less than -952633?\nAnswer: -952628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*n = 4*d + 25*n + 55, 12 = 4*n - 0*n for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -178*t - 113*t + 32*t = -69238470. Round t to the nearest ten thousand.\nAnswer: 270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 14 = -3*a + 4, -5*a - 5*j + 5 = 0. Suppose -a*p + 111 = -p. Is p a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1876 and 28877?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*x - 149*x + 21475 - 4995 = 0. Calculate the remainder when x is divided by 73.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of 133*m**2 + 1\/32*m**4 + 0 + 1\/320*m**6 + 3\/160*m**5 + 0*m**3 + 0*m. Find t such that r(t) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1222?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 10*l**2 + 73*l + 30. Let w = 6 - 0. What is the lowest common multiple of g(-7) and w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 35526*a + 142085. Calculate l(-4).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*z = 33*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) -3 (c) -510\/451\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28558 is divided by 136?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118*m - 82*m - 73*m + 407*m - 61*m.\nAnswer: 73*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from zniizizinniizzz.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 60063413483 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1894?\nAnswer: 2, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2394 and 9?\nAnswer: 2394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3 - 498*z**2 + 496*z.\nAnswer: 2*z*(z - 248)*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7425 and 14457960.\nAnswer: 1485","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -7472818.05 rounded to the nearest one hundred?\nAnswer: -7472800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (245 + -243)\/((-10)\/(-112))*30\/8?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1526294 divided by 49?\nAnswer: -218042\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.056 - -116.944. Let s = j + -114.96. What is s rounded to 1 dp?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - 5. Find the third derivative of 4*y**2 - 2*y**5 - 2*y**5 - 2*y**q wrt y.\nAnswer: -240*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.474*63.8538.\nAnswer: -30.2667012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 249 = 21*p + 149, 0 = 3*y + 12 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -14 + (12 - 1) + 2 + 0\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/u**(-13)*u*u\/(u*u*u**45)*(u*u*u**(-1\/3)*u)\/(u\/(u*u**(14\/9)*u)) assuming u is positive.\nAnswer: u**(-232\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -126296 divided by 4\nAnswer: -31574","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 9576.43046 to one decimal place.\nAnswer: 9576.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-50)\/(-240)*8)\/(65\/6).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 3107, -5, -12 in decreasing order.\nAnswer: 3107, 10, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 495240.7ml to litres.\nAnswer: 495.2407","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 65344 - -7?\nAnswer: 65353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -1, 0.71?\nAnswer: 0.71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-2 + 1 + 1 - 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a + 3*a - 3036*a**2 - a - 568*a**2.\nAnswer: -3604*a**2 + 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of -1\/350*n**7 - 1\/40*n**4 + 0*n + n**2 + 1\/300*n**6 + 0 + 1\/1680*n**8 + 1\/150*n**5 + 1\/30*n**3. Find v, given that r(v) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*q + 0*q + 2*q)*(3*q - 2*q + 2*q) - 3*q**2 - 1 + 1 to j*q + m*q**2 + c and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 17\/2 of a kilometer?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z + 5*z - 3*z)*((-3*z + 4*z + z)*(-4 + 5 + 1) - z - 2*z + z + (5*z - 2*z - 4*z)*(3 + 1 - 5) - 2*z - 2 + 2 + 2*z - z + z - 3*z + z + 3*z).\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = 5*v - 23, -9*v + 6*v = 2*n - 13 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 21 = -5*q - 2*w, 0 = 5*q + w - 23. Let r = q - 5. Suppose 2*b - 28 = -r*b. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -2*d**2. Let t(h) be the first derivative of 13*h**2\/2 - 8. What is f(t(w))?\nAnswer: -338*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8.3 - 8.264. Let p = -0.436 + x. What is the closest to -1 in 0.4, -2\/13, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrssvvrrsrssr. Give prob of picking 1 r and 1 v.\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - z + 126 = 0, -6*z + z + 175 = 3*n. Let b = 8 + 11. Suppose 0 = -5*v + 46 + b. Calculate the highest common factor of v and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -6*k - 67. Give s(-12).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -116645 (base 9) to base 3.\nAnswer: -10120201112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/16809 and -2\/429.\nAnswer: 184899","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 377, 701, 1025?\n\"Answer: 324*z + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7827 - 7867. Let n be (9\/6 - 2)*80. Are m and n equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 55681 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (88 - 183 - 123)*(3*q + 0*q - q) + 4*q - q + 3*q + (-3*q + 5*q - 3*q)*(4 - 6 + 3) + 3*q - 2*q - 2*q + q - 2*q + 0*q - 3 + 3 + q + q - 3*q + 0*q.\nAnswer: -434*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*y**5 - 23*y**4 + 13*y + 22?\nAnswer: -60*y**3 - 276*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -583*r**4 + 38*r**2 + 1373*r. Let f(m) = m**4 - 6*m**2 - m. Let c(w) = 6*f(w) + t(w). Find the second derivative of c(v) wrt v.\nAnswer: -6924*v**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 33\/17, 0.5, -0.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 23.6115 millennia?\nAnswer: 2361.15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3103 + 3101. Sort 4, f, -5, 12, 0.\nAnswer: -5, f, 0, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -34 + 39. Suppose -o*n = 5*m - 995, m + 189 = 4*n - 3*n. Let g = -89 + n. Is g a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from mmkffjqmkfmkffmjm.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 766 + -766. Solve c = o + 3*o + 12 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -11a - 5?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve j**2 + 42284*j - 84572 = 0.\nAnswer: -42286, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*k**2 - 48 + 29 + 22 as a*k**2 + j*k + h and give a.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 961909363 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Express (-249*h + 225*h + 197*h)*(3*h + 5 - 5) in the form m*h**2 + d*h + c and give m.\nAnswer: 519","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 212853 and 339.\nAnswer: 24052389","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1422164370 and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*400.94.\nAnswer: -1202.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54 and 16578?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (-15 + 2 + 24).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 5, s: 5}. Give prob of picking 1 s and 3 c.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0014623 to five dps.\nAnswer: 0.00146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 582474996?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-104)\/(-40) + 4\/10. Let m be (-2)\/(-1) + (h - 2). Solve 3*n = 3*k - 18, m*n = 2*k - 0 - 13 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1117*z + 2*z**2 + z**2 + 1117*z.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2 from 1432.\nAnswer: 1434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(2736) + -1)**2 + sqrt(19).\nAnswer: -23*sqrt(19) + 2732","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9141565 to the power of 1\/3, to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 202370, 202445, 202570, 202745, 202970?\nAnswer: 203245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b**3 - 1592*b**2 + 1604*b + 3192 = 0. Calculate b.\nAnswer: -399, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-3)*(-681)\/908?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9088.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -53*u + 51*u + 36618, 0 = 5*z + 4*u - 45765. List the prime factors of z.\nAnswer: 9157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -60 + 84. Let y = -10 + o. What is the units digit of y + 3\/6*2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-110)\/(-2)*16\/96*-3*-2. Which is the closest to 1? (a) 0.14 (b) x (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5351 (base 8) in base 13?\nAnswer: 136b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of g**6\/180 - 11*g**5\/60 - g**4 - g**3\/3 + 29*g**2. Let v(x) be the first derivative of w(x). Factor v(u).\nAnswer: 2*(u - 12)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**4\/2 - 2989*l**3\/2 - 17961*l**2\/2 - 26955*l\/2.\nAnswer: l*(l - 2995)*(l + 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 4*a = 24 - 164, 5*l - 276 = 4*a. Does 11 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/1200 and 59\/1600.\nAnswer: 4800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**4 - d**3 - d**2 - d. Let z(n) = -399*n**4 - 4*n**3 - 30*n**2 - 7*n. Let i(a) = -4*b(a) + z(a). Find the third derivative of i(l) wrt l.\nAnswer: -9480*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + -3 - (-7 - 2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/10 at least -462?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110) + sqrt(110)*2)*6 - (sqrt(110)*1*1 - sqrt(110)))\/((sqrt(70)\/sqrt(112) - sqrt(10)) + 1*-1*sqrt(10)).\nAnswer: -72*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 2671?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (111*y**3 - 73*y**3 - 99*y**3)*(-26 + 81*y + 26) + 0*y**2 + y**4 + 0*y**2.\nAnswer: -4940*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 + 3 + (-1 - 1 + 1)*(1 + 20 + 19) + 0 + 3 - 5)*(-g + 0*g - g).\nAnswer: 72*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 724542 to the power of 1\/3, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 459159*-72\nAnswer: -33059448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -5202*f. Let c(o) = 2*o**2. Give r(c(b)).\nAnswer: -10404*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9568584 and 108.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.07 - -0.23. Let m = -3 - -5. Suppose 3*s = -m*h - 8, -3*s = s + 5*h + 20. Which is the nearest to 0? (a) 2\/7 (b) g (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 131200 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 2*j + 15 = 0. Let a = 6 - j. Suppose -2*z - z + 39 = 5*x, 0 = -z + a*x + 13. What are the prime factors of z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/12)\/t*t**13)**(-1\/4) assuming t is positive.\nAnswer: t**(-143\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 162*h. Let q(d) = -34*d. Determine g(q(n)).\nAnswer: -5508*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -112401, -112004, -111607, -111204, -110789?\n\"Answer: u**3 - 6*u**2 + 408*u - 112804","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -5*i**3 + 10*i**2 - 7*i - 24. Determine o(6).\nAnswer: -786","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as 10\/201?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from khgh. What is prob of picking 1 k and 1 g?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 166 + -87. What are the prime factors of l?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 7 - 13 = -2*f, 2*x - 10 = 3*f. Let d = 1769 - 23027\/13. Let u = d - -296\/117. Put u, f, -6\/11 in descending order.\nAnswer: u, f, -6\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*k**3 + 4*k**2 + 17*k**3 - 6*k**2 in the form i*k + m*k**2 + r + u*k**3 and give u.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 1) + -7 + 3 - 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6105.217 millennia in years?\nAnswer: 6105217","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/15*(-2)\/(-4)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 2*((1 + sqrt(396))*-6 + sqrt(396) + 4 + sqrt(396) + 4)**2*-2.\nAnswer: -25357 + 384*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/2810 and -211\/12908220.\nAnswer: 3627209820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 + -15. Do 1\/4 and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/18 and 67\/90?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17 is divided by (-229 + 9)\/(-11) - 12\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((1\/3)\/1*0)\/(-1). What is the nearest to 1 in -0.2, 5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14609?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 20 + 56 = -2*s, -5*s = -5. Let g = 86 - h. Is g a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 6*i + i + 14, 3*i = 0. Suppose 4*v + 13*q - 9 = 12*q, 2*v + 9 = -5*q. Let a = p + v. Solve -k - f - a = -5*k, 6 = -3*f for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20262 (base 8) to base 10\nAnswer: -8370","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00005611 to five decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.731 - -0.7310513. Round c to six decimal places.\nAnswer: 0.000051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -193, -619, -1273, -2155?\n\"Answer: -114*v**2 - 84*v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -39, -12, -4 in decreasing order.\nAnswer: -4, -12, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5409 or -5440?\nAnswer: -5440","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/7)*(u*u*(u*u**(-2))\/u)\/u)**(-2\/23)\/((u\/(u\/u**(5\/4)))\/(u\/(u\/u**(1\/6))*u)*(u**(-5\/4)\/u)\/(u**(2\/15)\/u)) assuming u is positive.\nAnswer: u**(2193\/1610)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 75 + -8. Let d = -67 + f. Suppose -14*m + 9*m + 3745 = d. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2577200 (base 9) to base 7\nAnswer: -14656542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -3*w**2 - 28*w - 976. Let m(b) = 17*b**2 + 154*b + 4880. Calculate -4*m(x) - 22*u(x).\nAnswer: -2*x**2 + 1952","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 94 - 106. What is the units digit of (-4 + 27\/5)*(-2 - j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, 8\/69, -0.2, 3 in descending order.\nAnswer: 4, 3, 2, 8\/69, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 73.6893 + -159987?\nAnswer: -159913.3107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 2) in base 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27 - 12. Suppose 0*i + 5*i - 10 = 4*a, 3*i - 6 = -5*a. Suppose 0 = i*v + 8*v - 40. Solve 4*l = -5*h + 27, q = v*l + l for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 36438544 to the nearest integer?\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 l when three letters picked without replacement from tztzzlceteztlczzzc?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - -367171?\nAnswer: 367166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -90 + 96. Suppose -w = -4*p + 2*p. Suppose -p*u + 2*u = -42. What is the remainder when u is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 73 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -303 + 350?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 65\/15034 + 161051465\/60136. Let g = -2684 + l. Find the common denominator of g and (474\/54 + 2)\/(2\/3).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -137.2 + 145. Let f = 8.8 - n. What is the closest to f in 6, -0.5, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = v + a - 10, 5*v + 5 = 5*a. Let w = -1 + 6. Suppose j - 31 = -w*i, 6*i - 15 = 3*i. What is the remainder when j is divided by v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 284 or 1134?\nAnswer: 284","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -2. Let b be n\/(1*3\/6). Suppose -b*w + 52 - 20 = 0. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 2*w = 8 + 2, -4*u - 3*w = 13. What is the smallest value in u, -3, 3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22110 (base 3) to base 2\nAnswer: 11100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 54 and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13.93 + 29.87. Let m = a - 16. What is the nearest to 0.2 in m, -0.2, -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2358.\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 43.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p + 12. Let j be v(-8). Suppose z - j = 6*z. Let m(q) be the third derivative of q**4\/24 + q**3\/3 + q**2. Give m(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*c*q**4 - 4*c*q**3 + 13*c*q**2 + 14*c - q**2 wrt q?\nAnswer: 288*c*q - 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(2) + 1*sqrt(32))*4)**2 + ((sqrt(200) - sqrt(200)*-1 - sqrt(200))*2)**2 + -2.\nAnswer: 29598","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -39 + 57. Let b(t) = t**2 + 5*t + 6. Let w be b(-4). Let l be w*7\/3*3. Solve -5*s - 1 = l, 0 = -y + 5*s + m for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1121, 2229, 3337, 4445, 5553?\nAnswer: 6661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*v + 2*v - 3*v + 13*v.\nAnswer: 24*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**1)**(-2\/11)*(n\/(n*n\/(n\/(n**(-6)\/n))*n*n))\/(n**3\/n))**1 assuming n is positive.\nAnswer: n**(31\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 39 + -38.98. Let p = -15.9 - -2.3. Let n = 11.6 + p. What is the biggest value in x, -4, n?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.6 (b) 0 (c) 0.3 (d) 0.03 (e) 3 (f) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z**2\/5 - 1820248*z\/5 - 3640576 = 0. Calculate z.\nAnswer: -10, 455072","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 6*n + 279 = 5*n, 141 = 2*u + n. What is the least common multiple of u and 350?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8.3 + 1.3. Let v = 2.6 - -8.4. Let a = v - 10. Which is smaller: r or a?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -5*o + d, -5*o + 3*d - 12 - 10 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14 and 2066.\nAnswer: 14462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(75) + 4)**2 - (-3*(1 + sqrt(75)) + sqrt(75))**2) + (sqrt(75) - (0 + sqrt(75))**2) + sqrt(75) + 5 + ((sqrt(75) + -3)*-2 - sqrt(75)) + 5.\nAnswer: -292 - 55*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 3*u**2 - 6*u - 2. What is j(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 209*v**2 + 4*v - 3 + 3.\nAnswer: 209*v**2 + 4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {g: 1, p: 2, w: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1.5, 2, 0.3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17188179 - 27752379. Round r to the nearest one million.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of q**3 + 2*q**2 - q. Let w(r) = -4 - 1 - 9 + 5*r + 17. Let c(o) = 3*n(o) - 4*w(o). Let a(t) = t. Give c(a(p)).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxdxxdxgxxxx. Give prob of picking 2 d.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1161 (base 10) to base 13.\nAnswer: -6b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 4. Let v = 28 - 29. Let g = i + v. Which is the biggest value? (a) 0 (b) g (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 4*z**2 - 12*z. Let r(s) = 4*s + 11*s**2 + 7*s**2 - 4*s - 75*s**2. Calculate x(r(y)).\nAnswer: 12996*y**4 + 684*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -1 + 5. Solve 3*t = 4*t + k for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14952 - ((-160)\/48)\/((-4)\/(-6)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f + 3*f - 880. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 5 + 1. Let o(v) = -3*v - 5. Let b(z) = -2. Let l(g) = 1. Let k(p) = 4*b(p) + 9*l(p). Let s(q) = -5*k(q) - o(q). What is s(t)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - o + 59, 2 = b - 2*o - 12. Suppose 0 = -b*j - 2083 + 103. Let q = 21 - j. List the prime factors of q.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 61552176 and 420?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2327295 divided by -5.\nAnswer: -465459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 8 = -207. Let l = c - 25. Suppose x - 3*v = 1 + 18, -l = -3*x - 4*v. What is the remainder when 11 is divided by x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, v: 2}. What is prob of sequence wvwv?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y. Let b(f) = f - 44. Calculate -b(x) - i(x).\nAnswer: -2*x + 44","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2*z**3 + 17*z**2 + 9*z + 21 - 10 - 5. What is the least common multiple of 13 and h(9)?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1509 or 1273?\nAnswer: 1273","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 10:25 PM?\nAnswer: 9:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1417\/2 - -55265\/78. Let k(f) be the first derivative of 0*f**5 - 1 - 1\/26*f**4 + 0*f**3 + 0*f**2 + c*f**6 + 0*f. Factor k(o).\nAnswer: 2*o**3*(o - 1)*(o + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*y**4 - 33116*y**3 + 525928*y**2 + 115616388*y + 2091587184 = 0. What is y?\nAnswer: -29, 303\/4, 2052","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (174\/(-6) - -3) + 26. Solve 503*n - 500*n + 9 = u for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/16 and 99\/15656?\nAnswer: 31312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -2*x**3 + 32*x**2 - 32*x + 24. Let l be n(15). Let k(s) = -s**2 - 5*s - 2. Let g be k(-2). Sort -1, g, l in increasing order.\nAnswer: l, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 7*x**3 - 3*x + 3. Let l(n) = 20*n**3 - 8*n + 8. Let w be (-17)\/(-2) - (2\/1)\/4. Suppose z - 16 = -w. Suppose 5 + 4 = -3*a. What is a*l(j) + z*d(j)?\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/6? (a) 5 (b) -1\/4 (c) -1\/2 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 329 - 327. Solve -25 = 5*g + y, -2*y = t*g - 6*y - 12 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*d**3 - d**2 + 2*d**3 + 2*d - 10 + 9 + d**4 as z + r*d**4 + g*d**2 + v*d**3 + c*d and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 - 11*z**2 - 13*z - 5. Let a be y(-10). Calculate the lowest common multiple of 5\/a - (-44)\/5 and 1.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of 7*r**6\/60 + 61*r**3\/6 - 105*r**2. What is the derivative of g(d) wrt d?\nAnswer: 42*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -4*t**2 - 5*t + 245. Let a(q) = 2*q**2 + 3*q - 122. What is 5*a(d) + 3*k(d)?\nAnswer: -2*d**2 + 125","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 46, -14, -5.\nAnswer: -14, -5, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-114)\/44 + -1)*-1 and (-90)\/324*(387\/60 + 0).\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/(c\/((c**(1\/6)*c)\/c)))\/c)\/(((c*c**(-7))\/c)\/c)*c**5\/(c*c**(-6))*(c**(1\/4))**(-10\/11)*c**(-7)*c**(-5\/2) assuming c is positive.\nAnswer: c**(557\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 + 36 - 22*x**3 - 478*x - 14 - 451*x + 929*x.\nAnswer: -22*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -253 = -4*v - 5*j, -3*v + 3*j + 169 = -14. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -12 + 4*z - 6*z - 3*z. Let j = 590 + -584. Let l(p) = p. Let q(v) = j*l(v) + n(v). Let o(w) = -w**2. What is o(q(b))?\nAnswer: -b**2 + 24*b - 144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 277849 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 725*c**3*i**3 - 2123*c**3 wrt i?\nAnswer: 2175*c**3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010001111111111 (base 2) to base 16.\nAnswer: -a3ff","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 27 - -55 - (149 + -113)\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 102*s - 3 + 4.\nAnswer: 102*s - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of -3*i**4\/20 + 1159*i**3\/10 + 1161*i**2\/5 + 3364*i. Find o, given that l(o) = 0.\nAnswer: -2\/3, 387","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1123*n + 3587*n = -194656 for n.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 4227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6943763604?\nAnswer: 2, 3, 379, 881, 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5 + 4 + 3)\/(1\/54) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -100 - -96. Let u be p*-2*1 - (-19 + 15). Suppose 20*c - 32 = u*c. Solve a - 3*a = c for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**4 + o**4 + 3*o**4 + (0*o + 4*o + 4*o)*(-o**3 - o**3 + 6*o**3).\nAnswer: 34*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 5:36 AM?\nAnswer: 9:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 5*y**2 - 7*y + 11. Let b(z) = z**2 - 2*z + 3. Let k(l) = 9*b(l) - 2*f(l). Suppose 0 = 5*g + 17 + 3. Calculate k(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 e when two letters picked without replacement from {w: 1, f: 2, e: 1, o: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 e when two letters picked without replacement from {d: 2, m: 8, j: 2, e: 1, t: 1}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 PM and 4:35 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3953*t - 849*t + 1753*t.\nAnswer: 4857*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1170?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-21) - 4\/14. Suppose r = -l - 2*l. Suppose l = c - 6 + 2. Solve -6*p + p + c*i = -28, 12 = p - 4*i for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.238792058 rounded to 1 dp?\nAnswer: -5.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*b - 5*o - 11 - 36, 7*b - 4*o - 218 = 6*b - 209 for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -242341 - 15?\nAnswer: -242400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 8*o**2 + 12*o + 76. Let h be w(9). Let c = -780 + h. Calculate the remainder when 110 is divided by c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/(-32) + 7\/(-60). Is m smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 267 or 342?\nAnswer: 342","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1399, 10837, 36425, 86239, 168355, 290849, 461797, 689275?\nAnswer: 981359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -551*c - 508*c + 2 + 0*c**2 - 3*c**2 as p*c**2 + l*c + q and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - -27470?\nAnswer: 27474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 14*u**2 + 124*u + 271. Let s be t(-6). Is 14 less than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppp. Give prob of picking 2 p.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2177.01951 - -2177. Let v = 0.02 + w. What is v rounded to four decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(15)\/sqrt(3)*-6 - sqrt(45)\/(sqrt(9)*1)) + -1)**2 + 4.\nAnswer: 14*sqrt(5) + 250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + -5b87b?\nAnswer: -5b876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 33727 - -17?\nAnswer: 33746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 34093, 34090, 34085, 34078, 34069?\n\"Answer: -o**2 + 34094","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3001 (base 4) to base 10\nAnswer: -193","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1969 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*k*m**2 - 117720109*k*m - 13295*k + 3761 wrt m.\nAnswer: -4*k*m - 117720109*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 10:35 AM?\nAnswer: 7:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2060627, -4121255, -6181883, -8242511?\n\"Answer: -2060628*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/1274337 and 75\/6513278.\nAnswer: 58619502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 + z + 27. Let k be t(5). What is the units digit of k\/(-28) - 2658\/(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37 - 15 - 19)*(-165 + 165 - 6*t).\nAnswer: -18*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12)\/(-9)*-9*2\/(-8). Let o(v) = -v**3 + 5*v**2 - 4*v + 2. Give o(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 47\/226 - -33\/113. Which is the nearest to t? (a) 0.07 (b) -15 (c) 1\/10 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*s**5 + 3*s**5 - s**2 - 3 + 3 wrt s.\nAnswer: 60*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 + 17. Let a(s) = 9*s + z*s - 19*s. Let t(w) = w + 1. Let q(x) = 5*x**2 + 6*x + 6. Let n(i) = q(i) - 6*t(i). Give n(a(b)).\nAnswer: 80*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from reererrerrerrrrr. What is prob of sequence ree?\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 14592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9231 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of 47*a**5\/60 + a**4\/24 + a**3\/3 + 13*a**2. Let m be k(-9). Round m to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j - 1. Let i(r) = -7 - 3*r + 3 + 4*r - 2*r**2 + 1. Calculate 4*c(h) - i(h).\nAnswer: 2*h**2 + 3*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 100 - -44679?\nAnswer: 44779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 385*o**2 - 154*o + 77. Let x(r) = -2*r + 1. Determine -c(l) + 77*x(l).\nAnswer: -385*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 40 + -36. Let a(w) = 19*w**3 - 5*w**2 + 8*w + 1. Is a(f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k - 1. Let d be v(0). Let g be d\/(-2 - 38\/(-18)). Let j = 10 + g. Put 2, -4, j in decreasing order.\nAnswer: 2, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 340075*d**3*l**2 - 6*d**3 - 12411*d**2*l**2 - 10*d**2 + 2*d - 4*l**2 wrt d?\nAnswer: 2040450*l**2 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 c when three letters picked without replacement from fcfxcxffcfxxxcxxfxff.\nAnswer: 28\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1053 (b) 0.3 (c) 2\/5 (d) -0.5 (e) -2\/5 (f) -1.54\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/1536 and 41\/6990.\nAnswer: 1789440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12417?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*2\/(-4)*0)\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 2849 = -2881 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 873298?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 7*d - 6*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 72040.46g in tonnes?\nAnswer: 0.07204046","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-22)*i*i\/(i*i**(-22)))\/(i**18\/(i\/(i*i**(-42)))))**(-6\/23) assuming i is positive.\nAnswer: i**(-150\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 862\/22 + 4\/(-22) is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 + v. Calculate q(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-5)*29\/(203\/(-15))\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - -2. Let u be (-1)\/(-3) + 10\/6. Let x(l) = 6*l**2 - 5*l**u + 3*l**2 - l - l**3 - 1. Give x(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35651 to the power of 1\/2, to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -132867*s + 135020*s + 3 - 1 - 2 to the form u*s + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of -w**2 - 1. Let p = 182 + -180. Let s(c) = c**2 - 7*c**2 + p*c**2 + 3*c**2 - 6*c**2. Calculate f(s(o)).\nAnswer: 14*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 108 and 6?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1850040 is divided by 33036?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4595058489?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 399, 415, 447, 501, 583, 699?\nAnswer: 855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*z**2 - 308*z**3 - 12 + 310*z**3 + z + 11*z**4 + 12 to i*z**2 + p*z**3 + u*z**4 + m + g*z and give u.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11393599 is divided by 1203?\nAnswer: 1189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/7 (b) -4 (c) -1\/2 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 123594\/(-4 - -7) + (-1)\/1. Suppose s = 3*m + 13480. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9161.75 rounded to the nearest 100?\nAnswer: -9200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1.9, -3\/2, -1\/3?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 PM and 1:41 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 80990 and 1365.\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -2.2. Let f = r - 2.2. Let o = -8.89 - -8.65. Is f > o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 25\/2 of a kilogram?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -22238*i + 16157 wrt i.\nAnswer: -22238","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -21*i + 9. Let g(y) = 5*y - 2. Let q(a) = -a + 7. Let s be q(9). Give s*m(w) - 9*g(w).\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 343967\nAnswer: 5\/343967","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*d**2*o**3 + 12*d**2*o**2 - 2*d**2*o + 53*d**2 + d - 2*o**4 wrt o?\nAnswer: -36*d**2*o + 24*d**2 - 24*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 619 + -630. What is the fourth smallest value in -5, 0, -6, l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12.3 - -9.325. Let t = -3.08 - -0.08. Let k = y - t. Round k to two decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v and 1 f when four letters picked without replacement from {v: 3, f: 2}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/3 (b) 1\/9 (c) 1 (d) 47149\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20892*s**2*y**4 + 27783*s**2*y**2 + 22651693*s**2*y + 19*s*y wrt y?\nAnswer: -250704*s**2*y**2 + 55566*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*y**4 - 5495*y**3 + 390210*y**2 - 1747575*y + 1093500 = 0 for y.\nAnswer: 3\/4, 4, 135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*x**2 + 3*x**3 + 22*x**2 - 45*x**2.\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -4*z + 1416, 1414 = 4*z + 2*d - 0*d. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*4*(1 - 2). Let u = -10 + 14. Let n = -1480\/7 - -211. Which is the second biggest value? (a) n (b) u (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 34*n**2 - 82*n - 48. Let r be c(3). Which is greater: r or -385?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1030325 (base 6) to base 3.\nAnswer: -2120111122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 439319, -147.\nAnswer: -147, 4, 439319","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 93 and 564541.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2062164 is divided by 207?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 743, 2830, 6307, 11174?\nAnswer: 17431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 55782 and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.01 in -26, 11, 2\/13, -1?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5643822 by -3.\nAnswer: -1881274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 308754983?\nAnswer: 308754983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + w = -2*s + 15, 15 = 5*s + 3*w for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 818556 is divided by 281.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + 259 - 49. Let k = s - -98. Suppose -k = 4*q - 6*q. Is 7 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -25.2 and 126620?\nAnswer: -3190824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 1430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -bd - 2a06d1?\nAnswer: -2a07b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -319 - -359. Calculate the greatest common divisor of 64 and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -9*p**2 - 9*p - 20. Let m be d(-9). Let c be m\/(-8)*6 - -2. Let o = 1470 - c. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 + 13. Find the third derivative of 0*g**2 - x*g**2 + 6*g**2 + 0*g**3 - 4*g**3 wrt g.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3710*9\/((-54)\/(-15)). Suppose 0 = 4*u - 63*t + 66*t - v, -u = 3*t - 2312. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 9:51 PM?\nAnswer: 4:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((d**3 - 2*d**3 + 0*d**3)*(2 - 2*d - 2) + 4*d**3 + d**4 - 4*d**3 - d + d**4 + d)*(-5 - d + 5).\nAnswer: -4*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1969561, 1969560, 1969559?\n\"Answer: -v + 1969562","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 3*q + 6 = -0, q = 2. Let m be 1*(-13 - -3)\/2. Let a be (n - 1) + m + 10. Solve 0 = a*k - 5*s + 1 + 2, 3*k - 24 = -5*s for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 + 9*n - 1. Let k(x) = 2*x. Let r(o) = 2*c(o) - 11*k(o). Find d, given that r(d) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 75 + -91 + -29 + 61.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**2 + 28*p - 32.\nAnswer: 4*(p - 1)*(p + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1390*m + 429 - 122 + 36 + 4606*m wrt m.\nAnswer: 3216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 34520156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 10432 (base 5) to base 9\nAnswer: 1014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2525, 20578, 69637, 165200, 322765?\n\"Answer: 2583*k**3 + 5*k**2 - 43*k - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -167268 = -5*b + 20592. Is 124 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*i**2 + 10*i + 7*i + 7*i - 10*i wrt i?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-3*sqrt(99))\/sqrt(9).\nAnswer: -15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 167925101 to the nearest integer?\nAnswer: 552","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.02731 + 5.02731. Let z = -6 + 21. Let o = z - 13. Which is the third biggest value? (a) o (b) v (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - 75656026\nAnswer: -75656029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -9*g - 8*g - 6 - 11. Let x be v(-11). Suppose 6*i - i = x. List the prime factors of i.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(2) + (sqrt(2) + 1*sqrt(2)*-4)**2 + 1 + sqrt(18)).\nAnswer: -38 - 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 3*c + 490. Let l(d) = 11. Calculate -b(j) - 2*l(j).\nAnswer: -3*j - 512","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*g**3 + 2*g**3 + 3*g**3)*(-64 - 2355 - 60).\nAnswer: 2479*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16649175?\nAnswer: 3, 5, 221989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -882\/11 + 80. Suppose -87*c = -95*c - 24. Let s be c\/10*-1*(-120)\/450. Sort z, -2, s in decreasing order.\nAnswer: s, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1610135*p**4 - 11206029?\nAnswer: 6440540*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 - 17. What is b in 7*b + 12 - 15*b**3 - 15*b**5 + 17*b + 3*b**2 - 11*b**5 - 3*b**d + 29*b**5 = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (86\/(-5))\/((-332)\/415) and -81\/116.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -1 - (-1 + (-2 - 1))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 39.22824 decades in years?\nAnswer: 392.2824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1925\/(-25)*-4*(-20)\/(-56))\/((-76)\/(-38)).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 891\/66 - (6 + -8 - 6\/(-4)). Solve -s = 3*t + u, 3*s + 17 = -5*t - 13 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 0 + 0 + 1 + q + 2. Suppose 2*h = 7*h - 40. Suppose 0 = f - 3*f - h. Calculate g(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 698, -2, -693 in decreasing order.\nAnswer: 698, -2, -9, -693","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x**2 - 18*x + 12. Give l(-7).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140 = 22*b - 18*b. Suppose -5*p = h + 4, -3*h + 14 = -2*h - p. Calculate the remainder when b is divided by h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 5, v: 2, n: 12}. Give prob of picking 1 v and 1 j.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 4*p. Let w(u) = 14*u**2 - 1109*u + 1109*u. What is d(w(v))?\nAnswer: 56*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109488 = -1530*u - 751*u for u.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -100032 + -10?\nAnswer: -100042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -18761, -37566, -56371?\n\"Answer: -18805*v + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2801, 2807, 2813?\n\"Answer: 6*g + 2795","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4104771 (base 11) to base 16\nAnswer: 6eae28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -3*q**3 - 3*q**2 - 2*q - 5. Let h = -8 + -30. Let z = h - -32. Is o(z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*n + 3*n + 1694 = 0. What is the highest common factor of 7 and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 45 and -1.7.\nAnswer: 43.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 783 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iihihhilhhhhillhlhih. What is prob of picking 3 l and 1 i?\nAnswer: 8\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-6 - -1 - (-7 - 4))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3577996 (base 12) in base 4?\nAnswer: 213201133002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 - (-25 - (-26 + 6)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 15860, 15896, 15966, 16070, 16208, 16380, 16586?\n\"Answer: 17*b**2 - 15*b + 15858","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 171 > 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 3*i - 20. Suppose 4 = 6*t - i*t. Suppose -2*u - h + 12 = 0, -t*u + 4*h = -7*u + 18. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 313922959?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s - 10. What is y(0)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8060?\nAnswer: 2, 5, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + -13310?\nAnswer: -13306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/4)\/((-2)\/(-4)). Let f(y) = -y**2 + 10*y - 11. Let d be f(-5). Let a = d - -89. Sort a, 4, u in ascending order.\nAnswer: u, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a centimeter in millimeters?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -2\/39, 0.1, -2924?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of 5*i**3\/3 - 23*i. Let x(t) = 2*t**2. Calculate y(x(a)).\nAnswer: 20*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45 + (-16)\/(-4) + -4 is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 125281*s - 1716. Let z(y) = 3480*y - 48. Determine -4*u(i) + 143*z(i).\nAnswer: -3484*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o + 4*r - 18, -2*o + 3*r = -o + 4. What is the greatest common factor of o and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 - 4*y**2 + 2*y. Let u be a(4). Let g = 11 - u. Let k(r) = 3*r - 2. What is k(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 10*b - 85. Let l be s(9). Suppose -10332 - 22013 = -l*c. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -3*y - 4*y + 12468. List the prime factors of y.\nAnswer: 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**2)**(1\/40))**(-50)\/(w**(-1\/5)*w*w*w**(-11)\/w)**46 assuming w is positive.\nAnswer: w**(4667\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-3)\/18)\/((-4)\/12))\/(6\/156)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -281366*o**2\/17 - 562764*o\/17 - 64\/17 = 0.\nAnswer: -2, -16\/140683","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2601429 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -3\/4, 2\/7, 0.3, -0.038?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 628077 to the nearest integer?\nAnswer: 793","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85 + 630*p + 87 + 788*p - 975*p.\nAnswer: 443*p + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -1022.129 to the nearest 100.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 34 = -5*y, 4*j = -0*y + y + 30. Let a be (2\/8 + (-3)\/(-12))*0. Suppose -5*u + 28 - j = a. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-9195)\/20*12\/(-9). Let d = b + 65. What are the prime factors of d?\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18613, -76364, -173261, -309304, -484493?\nAnswer: -698828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16) - (-3*sqrt(16) + sqrt(16))*5)\/(sqrt(32)\/sqrt(144)).\nAnswer: 66*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 + 6*u**2 - 2*u - 2. Let j(z) = -3*z**3 + 11*z**2 - 5*z - 3. Let o(v) = 2*j(v) - 5*x(v). Let y(r) = -r + 4. Let q be y(12). What is o(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 0 = -4. Let b(w) = 3*w - 6*w**2 - 14 + w**3 + 18 + w**2. What is b(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + (2 - -2) + 4. Let n be ((-2)\/y)\/((-2)\/18). Let w be 18\/63 + (-52)\/(-14). Is n smaller than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 1932*y - 1934*y + 6 + 5780*y - 1924*y.\nAnswer: -10*y + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2\/135 - 127\/540. Let a(d) = 2*d**2 + 51*d - 27. Let u be a(-26). Let o = u - i. What is the second smallest value in o, -5, 5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(0 + -1 + sqrt(832)*-2))**2.\nAnswer: 800*sqrt(13) + 83225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -332b (base 13) to base 6.\nAnswer: -53011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 122005043?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4749190 + 4780494 = -559*k for k.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/(q\/(q*q**2))*q**(-4)\/q)**(-1\/21) assuming q is positive.\nAnswer: q**(1\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-62)\/31)\/((-25)\/((-500)\/256)).\nAnswer: -5\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 86 + 73. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.46 and 0.05?\nAnswer: -0.123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, s: 2, n: 1, b: 4}. Give prob of sequence db.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1421 = -4*c + 2709. What is the greatest common divisor of 368 and c?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/9? (a) -471 (b) -2\/9 (c) 0.15 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-180)\/(-15 + 30))\/10?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 AM and 8:51 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p**3 - 5*p**2 + 2*p + 7. Let q = -11 + 19. Let g(d) = 3*d**3 + 8*d**2 - 3*d - 11. Let u = -27 + 32. What is q*o(i) + u*g(i)?\nAnswer: -i**3 + i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 89*b**3 + 3*b**2 - b - 3. Let h be w(-1). Suppose 824 = 4*m + 3*u, -2*u = -5*m + 823 + 207. Let i = h + m. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1149 a factor of 11452083?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x + 29*x**3 + 3061785008*x**2 - 3061785005*x**2 + x.\nAnswer: 29*x**3 + 3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50293 - 254594 = -3*g - 3*z, g - 5*z = 101617. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 5 (b) -1\/24 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 72143 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**3\/7 - 20694*s**2 + 289725*s\/7 - 144864\/7.\nAnswer: -3*(s - 1)**2*(s + 48288)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -60, -2\/5, -3, -15, -20, 0.3, -0.05?\nAnswer: -60","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 - -17. Suppose -c*y + 2*y = 18. Let u(r) be the third derivative of -r**6\/120 - 7*r**5\/60 - r**4\/3 - r**3\/6 - 4*r**2. Determine u(y).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-21)\/(-75) - 4\/20. Suppose 2*v + 5*m - 1 = 9, 2*m = -4*v + 20. Let b be -1 + 1 + v\/(-5). What is the closest to 0 in u, b, 3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2439 is divided by 71.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 + 27\/4. Let u = 2 - 2.4. Which is the biggest value? (a) u (b) o (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13087.36 to the nearest one hundred.\nAnswer: 13100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 + 117 = 13419*r - 13390*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -87\/16 and 47\/11228.\nAnswer: 44912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*n + 41 - 23 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1702373927 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, p: 2, g: 4, f: 7, s: 2}. Give prob of picking 2 s.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 5 (b) 1389 (c) -1 (d) 0 (e) 2\/5 (f) -37\/5 (g) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 + 6*h**2 - h - 6. Let n be i(5). Suppose 4*b + 2 = n. Let k = -4 + b. Which is smaller: 0 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 1 + 2)*(0*w**2 - w**3 + 0*w**2) - 12*w**2 - w**3 + w**3 - w**3 to f*w**3 + a*w**2 + n + c*w and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) + sqrt(117) + (3*sqrt(117) + sqrt(117))*-5 + sqrt(117) + sqrt(117))\/(sqrt(9) - sqrt(63)\/sqrt(252)))**2 + -1.\nAnswer: 119783\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7801 + -6682?\nAnswer: -15583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.05? (a) -0.1 (b) 1\/15 (c) -1\/4 (d) 3.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8228327 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(189)\/(sqrt(729) + (sqrt(729) + (sqrt(729) - 3*sqrt(729)) - sqrt(729)) + sqrt(9) + sqrt(9) + sqrt(9)))\/(sqrt(252)*2))**2.\nAnswer: 1\/1728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*v - 31 + 3*v**4 + v**2 + 57 - 2*v - 12 as t*v**3 + k*v + d + q*v**4 + y*v**2 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 12 = -k, -4*k - 3*c + 1215 = 1213 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 + 4)*(0*y**3 - 2*y**4 + 0*y**3) + (0 + 0 + 2)*(0 + 0 - y**4) + 0*y**4 - y**4 + 0*y**4.\nAnswer: y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 127*s - 7 = -122*s, 5*q - 2*s + 11 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 20 = 0, 0*f + f - 4*m = 630. Let w be f\/2 - (3 - 6). Suppose -4*n + w = -3*t, -5*t - 154 = -2*n - 0*t. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111104 is divided by 224.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from diiidwi. Give prob of sequence iiid.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 + 2*l**2 + 2*l + 12. Let p be v(0). Suppose 0 = -p*n + 3 + 9. Solve -3*r + n - 4 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 3, -2*o + 3*o = -v. Is -2*v\/(18\/(-93)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 80226 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + -11 - (4 - 5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 + -1. Suppose -4*o - c + 2 = 0, -o + 0 + a = 3*c. Suppose o = -5*s + 29 + 21. Is 3 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100001 (base 2) in base 11?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + 4. Let g = -7 + j. Let m be -1*2\/2*5. Which is the closest to 1? (a) m (b) 0 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72286 is divided by 72286.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*(-90)\/(-100)*-2.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 10:43 AM?\nAnswer: 12:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = s + 8. Suppose 10*o = 3*o + 35. Which is the nearest to s? (a) o (b) -2\/9 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -3, 0, -142 in ascending order.\nAnswer: -142, -6, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (74 - 59)*((-2)\/3 - 0). Let u(n) = 3*n**2 + 14 - 2*n - 9*n - 4*n**2. What is the tens digit of u(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 18 = w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -5 + 4*c + 2*c**2 + c**2 - 2*c**2. Let s be ((-3)\/(-2))\/(12\/(-80)). Is x(s) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 3*q = -359, 2*q - 15 + 19 = 0. Is a less than or equal to -70?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*r + 13*r + 340. Calculate the greatest common factor of r and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2200011112 (base 3) to base 6\nAnswer: -1043322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5.1416*3\nAnswer: -15.4248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 276.7944 decades in centuries?\nAnswer: 27.67944","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 2*r - 5, 18*v = 14*v + 2*r + 4. Sort 3, -4, -5, v, -3.\nAnswer: -5, -4, -3, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 - 15*x - 17. Let i be o(-11). Solve 2*b - 2 = -2*n, -i = 2*b - 5*b + 3*n for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -35750511298019 and -0.8.\nAnswer: -35750511298019.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0243981ug to tonnes.\nAnswer: 0.0000000000000243981","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 119013, 476941, 1073495, 1908681, 2982505, 4294973, 5846091, 7635865?\n\"Answer: d**3 + 119307*d**2 - 295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, 0, -2, 1, -1, -3 in increasing order.\nAnswer: -3, -2, -1, 0, 1, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, 42, 75, 122, 183, 258, 347?\nAnswer: 450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 50 and 4608970?\nAnswer: 23044850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 3*p - 5, -p - 4*v = -3*v - 1. Let b(c) = -5*c**2 + 6*c**p - 5 - 6*c + c**3 + 2*c**2. What is the units digit of b(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*z + 3*z + 25*z + 1)*(168 - 168 + 13*z)*(-2*z + 0*z + 0*z) + z**3 - 4*z**2 + 4*z**2.\nAnswer: -935*z**3 - 26*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 1 = 3*x, -3*r + r + 4 = -3*x for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 0.2 (b) 0.4 (c) 5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 724\/21? (a) -4 (b) 4 (c) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 - 12*v**2 + 8. Let s be j(12). Let l(m) = m**3 - 7*m**2 - 8*m + 12. Let u be l(s). Suppose 16*c = u*c + 1264. Does 49 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 2:06 PM?\nAnswer: 10:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 215637413 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, y: 1, w: 2, m: 1}. What is prob of sequence mbby?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-39)\/(-26))\/(16\/((-320)\/(-6)))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*x - 30 = 29*x for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*q = -9758 + 9858 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of z**4\/4 - 4*z**3\/3 - 2*z**2 - 2*z + 1. Let l(b) = -912*b**2 - 8212*b - 32. Let t be l(-9). Calculate r(t).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*h - 36*h - 42*h - 41*h + 130*h - 40*h.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -3*a + 28. Let p be r(8). Suppose 0*q + q - 27683933 = 0. Suppose -p*x - 3283933 = -q. Round x to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -38703 or -38702?\nAnswer: -38702","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/2 and -4 + (-7 - (-2817)\/198).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6786.81 - 6827. Let o = l - -40. Let s = o + 0.198. What is s rounded to 2 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -12 + -4 - (-8 + 6).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/7, -66, -2\/9, 17569?\nAnswer: -66","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1730 is divided by 27?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b**4 - 160*b**3 + 1432*b**2 + 3360*b + 1764 = 0. What is b?\nAnswer: -1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 953.689 - 62260.9?\nAnswer: -61307.211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13583269?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 6*b**3 + b**2 - 11. Let c(d) = -3*d**3 - d**2 + 6. Let n(m) = -11*c(m) - 6*h(m). Find the third derivative of n(k) wrt k.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, i: 4, b: 2, m: 1, a: 2}. Give prob of picking 1 b, 1 m, 1 a, and 1 i.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 58532297*w**3 - 6235318*w**2 + w + 1.\nAnswer: 351193782","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, 31, 73, 151, 277?\nAnswer: 463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/4)\/(44\/(-48)).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 210\/45*(-6)\/7. Let o be (-8)\/((4\/(-5))\/(y\/(-10))). Solve o*l + 6 = l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -2*m**2 - 288 + 288. Let x(j) = 2*j**2. What is c(x(l))?\nAnswer: -8*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 3:23 AM?\nAnswer: 7:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/92 or 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1225 - -5?\nAnswer: -1220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -9*t**2 - 17*t + 3. Let z(q) = 4*q**2 + 8*q - 2. Let h(y) = 2*k(y) + 5*z(y). Calculate h(-5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1407698 take away -0.48?\nAnswer: 1407698.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32124 + 21822 - 20993 = -1063*t for t.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.343 - -0.342999556. Round p to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 4, 16, 2, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 321807?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -150*v - 30. Let q be z(2). Let h = 482 + q. What is the least common multiple of 16 and h?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 54, -2, 90, -24.\nAnswer: -24, -2, 54, 90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 - 8*j**2 - 7*j - 1. Let q be g(-7). Find the common denominator of 2 - 1\/11*q and -83\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 135.2 + -117. Let u = g - 11.2. What is the third smallest value in -2\/5, 1\/3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -28*j**4 - 2*j**3 + 2*j**4 + 13*j + 2*j**2 + 0*j**2 + 19*j**4 - 3*j**3 in the form m*j**4 + q*j**3 + u + y*j**2 + z*j and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of y**4\/4 - 5*y**3\/3 - 9*y**2\/2 - 29*y - 220. Let u be s(7). Solve 4 = -5*g - u for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lhh when three letters picked without replacement from luuhluhhhllllulu?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nneyyyenyxnyyy. What is prob of picking 1 x and 2 n?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 11 = o, -h + 4*o - 6*o = 2 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -299221a (base 11) to base 14.\nAnswer: -97677d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -110322 + 201231?\nAnswer: 30303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 3*t = 0. Let u = -9 - -6. Put 5, u, 4, t in descending order.\nAnswer: 5, 4, t, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 AM and 11:56 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 4:12 PM?\nAnswer: 4:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - -21) + 2 + (-25 - -29).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-92))\/((9\/108)\/(2\/18)).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -13\/278, -11, -2\/11, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26)\/39*(-3)\/20.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1283 and -2.\nAnswer: 2566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 732797?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -187\/8 + 21. Find the common denominator of b and 101\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11.69 - 10.8. Let o = 132563.89061 + -132563. Let w = f - o. Round w to four dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 8 - f**2 - 4*f**2 - 20 - f**3. What is the tens digit of i(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 364 and 1274?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.02 and -0.04?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35, 39, 43, 47, 51, 55?\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 + 3*c**2 + 3. Let q = 13 + -1. Let b be 18\/(-7) + q\/(-28). Let p(v) = -6*v**3 + 16*v**2 + 16. Calculate b*p(d) + 16*m(d).\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -202 - -467. Let s = -1108.9 + 1109. Which is bigger: v or s?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(720) - ((sqrt(720) - (-2 + sqrt(720))) + sqrt(720)))*1)**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s + 7. Let t be b(14). Let j(z) = -z**2 - 10*z - 14. Let y be j(t). Calculate the remainder when 345\/y + 8\/(-28) is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(2) - (sqrt(2) + sqrt(2)*-5)))**2 - 4*sqrt(20)\/sqrt(10).\nAnswer: -4*sqrt(2) + 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 50804?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -787, -863, -1093, -1561, -2351, -3547, -5233, -7493?\n\"Answer: -14*d**3 + 7*d**2 + d - 781","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.4 and -16771.8772540902.\nAnswer: -16771.4772540902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 PM and 11:13 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 49395 + 298590 = 5*n, -2*u = n - 49850. Let q = n + -5283091\/106. Let z = -5791\/742 + q. Find the common denominator of 16 and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -67a5 - 0?\nAnswer: -67a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*g - g + 5*d - 15, -5*g + 3*d = 9 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1150460?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 579690.27 milliseconds to days.\nAnswer: 0.006709378125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -703 + 702.5. Put a, -3, 22 in descending order.\nAnswer: 22, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 4) to base 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9415 - -22018. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 418, 403, 378, 343, 298, 243, 178?\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3684479 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 15*w - 5. What is the units digit of t(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 4 = -7. Let d be -3*((-264)\/(-21) + 3\/7). Put 1, d, f in ascending order.\nAnswer: d, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -153 + 172 + (-742)\/35.\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (21\/12)\/(((-18)\/56)\/(-9)). Let v be (98\/(4\/2))\/(-1). Let t = v + n. Solve t = -3*g - g + 8 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 58 + -30. What is the greatest common factor of t and 140?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38.53 - -38086314.\nAnswer: 38086275.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69253?\nAnswer: 23, 3011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26700364 (base 8) to base 2.\nAnswer: 10110111000000011110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 276700 rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 1, 0.119, -2\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24 - 4*r - 3*r + 25)*(-577 - 578 - 895*r + 1155).\nAnswer: 6265*r**2 - 895*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11 * 16.427.\nAnswer: -180.697","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1216669*w**3 + 3*w**2 - 56910?\nAnswer: -7300014","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00025293 to 4 dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 241 is divided by 61.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/8, -3, 0.4, 1\/3, 48?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 22 - (50 + -47 + 28)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 - 68*m**2 + 62*m + 281. What are the prime factors of h(-69)?\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of 36*f**3 - 994*f - 2. Let a(w) = -7*w**2. What is a(u(p))?\nAnswer: -326592*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2. Let f(k) be the first derivative of -12*k**2 - 38*k - 1652. Give h(f(w)).\nAnswer: -576*w**2 - 1824*w - 1444","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/80*78*-10*(-2)\/(-2)\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 23 = z - 3*f, -40 = -5*z + 4*f. Let m(b) = -5*b + 162. Let x = -1573 - -1605. Let w be m(x). Solve -4*p - z = -w*d + 2, -5*d = 5*p for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -792*w + 794*w = -3*o + 8, -3*w = 3*o - 12 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -15502825 (base 10) in base 4?\nAnswer: -323020313221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 99596771?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of -q**5\/60 - 11*q**3\/6 + 11*q**2. What is i(0)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3712, -0.2, -22?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 u when two letters picked without replacement from ucdudduuc?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*f**3*j - 228*f**3 - 14*f**2*j wrt j.\nAnswer: -2*f**3 - 14*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -424*v + 107*v + 95*v + 87*v + 105*v + 2.\nAnswer: -30*v + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 5*q - 178 = 0, -72 = 3*g - 2*q - 236. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 at most as big as -1\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p. Give g(15).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of 0*r**3 + 1\/240*r**6 - 1\/420*r**7 + 0*r**4 + 0*r**5 - 10 + 2*r**2 + 0*r. Let m(b) = 0. What is b?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 125383855?\nAnswer: 5, 1499, 16729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 369 is divided by 92?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 2*f = n - 336, 2*n = 3*f + 668. Let g = 747 - n. Suppose -4*w - 3*q + 799 = 0, -w - w = -5*q - g. List the prime factors of w.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-89)\/(-178) - (17\/14 - 1). Suppose 0 - 36 = -3*h. Suppose 3*z - 5 + 1 = x, 3*x = z + h. What is the smallest value in -1, x, k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6652.9439 rounded to zero dps?\nAnswer: 6653","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 28\/(-40)*((-436)\/(-84) + -5). Which is the fourth biggest value? (a) -1\/2 (b) -4 (c) g (d) 1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 408 and 5.\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do 8697 and 8695 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 957.94 + -958. Which is the nearest to -0.01? (a) v (b) 2 (c) 7 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, 3, -12, 4 in descending order.\nAnswer: 4, 3, 2, 0, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -133352 or -2933723\/22?\nAnswer: -2933723\/22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 75?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/9, -0.5, -4, 3\/4, -14, -170?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -731984 divided by -3.\nAnswer: 731984\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3123 + 40?\nAnswer: -3043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 124, 2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 460456.5645735 - -89257.8853955. Let v = a + -549715. Let w = -0.55 - v. Round w to 5 decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -0.477.\nAnswer: 7.523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 + 2733 = 35*b + 32*b. What is the remainder when 5556 is divided by b?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-3\/5)*q*q**(-2\/25)*q)**5*(q**(-2\/9)*q)\/q**(2\/15)*(q\/q**0)**(11\/5) assuming q is positive.\nAnswer: q**(85\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2*y - 6 + 4 to d + g*y and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 5*a**3 + 25*a**2 - 70*a - 50. Let s(d) = -2*d**3 - 8*d**2 + 23*d + 17. Let i(h) = 3*n(h) + 10*s(h). Factor i(y).\nAnswer: -5*(y - 2)*(y + 1)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8.4 - -208087152870.\nAnswer: 208087152878.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -77.89 to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 153, 200, 315, 498, 749, 1068, 1455?\n\"Answer: 34*p**2 - 55*p + 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1260 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2115882887 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2403*f + 4585*f - 65460 = 0 for f.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 12:30 AM?\nAnswer: 3:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of c**6\/120 + 8*c. Determine z so that f(z) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 - 2. Let i = o + 26. Let v = 14.9999983 - i. What is v rounded to 6 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 19582, 76920, 172478, 306250, 478230, 688412, 936790?\n\"Answer: -w**3 + 19116*w**2 - 3*w + 470","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qmmqqm. Give prob of sequence qq.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add -2.649 and 0.06652.\nAnswer: -2.58248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = -3*s + s, 3*f + 12*s = -5 - 13 - 36 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1441 - 1421. Suppose 5*v = 4*v + a + 45, -2*a + 260 = 5*v. What is the highest common factor of o and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20677, -41494, -62463, -83584?\nAnswer: -104857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5728 divided by -8?\nAnswer: 716","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.32 greater than or equal to -33\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 22136 * 267.\nAnswer: 5910312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 43 + -1320c?\nAnswer: -13199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b - -246885b?\nAnswer: 2468867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 16*h - 112 + 6*h + 8*h - 25*h. Let f be k(22). Which is the nearest to -1? (a) -0.5 (b) 9 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/3 in -0.3, -5, 2, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1\/((-96276)\/10698 - -9)?\nAnswer: 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/((-10 - 2)\/(-3)). Let p = -0.134 - -0.434. Which is the third biggest value? (a) p (b) 13 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12740 = -40*s + 26*s. Suppose -s + 930 = x. Suppose -2*v + 0*v = 5*o - 20, 4*v + 4*o - 64 = 0. What is the highest common factor of v and x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 32 + 160. Suppose 4*l + 10 = -2*c, 4*c + 8 = 4*l + q. Differentiate -16*o**2 + 18*o + 18*o - 36*o - c with respect to o.\nAnswer: -32*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1852 and 128780?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 812 and 116?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 3:40 AM?\nAnswer: 3:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, i: 4, d: 3, x: 8, k: 1}. Give prob of picking 1 k and 3 x.\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 211179 (base 11) to base 4\nAnswer: 1102211221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 216 - 223. Let n(m) = 5*m + 14 + m**2 - 9*m + 15*m. Calculate n(t).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -48 - -34. Let l be ((-371)\/u)\/((-1)\/2). Let a = -38 - l. What is the greatest common divisor of 105 and a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33481 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (12 - 2)*(-1)\/(-2). Suppose -5*s - 26 = -3*o + o, 0 = -t*s. Suppose f + 4*d = o, 4*d - 5*d - 23 = -5*f. Let l(z) = -z**2 + 7*z - 5. What is l(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 AM and 11:41 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 29445934 to the nearest integer?\nAnswer: 309","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {w: 2, x: 1, y: 5, t: 3, m: 1, k: 3}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0070982639 to five dps.\nAnswer: 0.0071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 5) in base 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -3*o - 3. Suppose -3*a + 5 + 1 = 0. Suppose -10 = -y - k, 2*y + y - 10 = a*k. Determine b(y).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 112728 and 237384?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 divided by 3161754.\nAnswer: -7\/1580877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 1. Let u = -72 + 71.471. Let q = u - -0.249. What is the nearest to z in q, -3\/5, 2\/3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of -l**7\/525 + l**6\/100 - l**5\/50 + l**4\/60 + l**2. Factor t(c).\nAnswer: -2*c*(c - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 135 - 133. Let v = 71 + b. Does 24 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of -k**6\/15 + 647*k**5\/20 - 107*k**4\/4 - 647*k**3\/6 + 323*k**2\/2 + 2705*k. Suppose o(l) = 0. What is l?\nAnswer: -1, 1\/2, 1, 323","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)\/(sqrt(16)*1))\/(sqrt(9) + sqrt(9) + sqrt(729)*1 - (sqrt(9) - (-3*-2*sqrt(9) - sqrt(9))))*2*1.\nAnswer: sqrt(2)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -6*r**2 + r + 4. Let c(s) = -7*s**2 + s + 5. Let d(n) = 5*c(n) - 6*x(n). Let v(y) = -4*y**2 + y - 1. Give -3*d(i) - v(i).\nAnswer: i**2 + 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - ((-8 - (1 - 22)) + -21)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from owwwwwwwowwwwowwwow. What is prob of picking 4 o?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -49*o + 4. Suppose -x + 5 + 0 = -3*z, 3*z - 7 = 4*x. Let h be i(x). Suppose 207 = 3*l - 2*b + 58, 0 = 4*l - 4*b - h. Is l a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-96)\/440)\/((-60)\/225*3)\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 9 - 4. Let z = 50\/81 + -1042\/1863. Which is smaller: z or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of -s**5\/20 - s**4\/4 - s**3\/2 - 3*s**2\/2 + 2*s. Let x be l(-3). Suppose -x*z = -2*z - 128. Does 14 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 - -11. Let p(n) = 10*n**2 + 0*n + d*n - 3*n**2 + 2. Let r(i) = -4*i**2 - 2*i - 1. Calculate -6*p(y) - 10*r(y).\nAnswer: -2*y**2 + 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 7, r: 6, q: 2}. Give prob of sequence rjjr.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, g: 4, e: 1, c: 8, d: 2, j: 3}. Give prob of sequence jaa.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.51 + -2.91. What is the third smallest value in -2.5, p, -3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21569470\/316533 - 1\/45219. Suppose -1156 = 19*c - 2*c. Let q = c + s. Calculate the common denominator of -35\/3 and q.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15391 is divided by 51.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5356 = -384*w + 1516 for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 29027130 rounded to the nearest 10000?\nAnswer: 29030000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 611*k**3*q - 15677*k**3 wrt q?\nAnswer: 611*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6734238 and 23653.\nAnswer: 763","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of -1861*k**3 + 2*k**2 - 2*k. Let r be s(-6). Round r to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 160270084 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -147 (base 10) to base 16\nAnswer: -93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -19495*r**2 + 16*r + 1. Let t be o(-13). Let j = t - -1524862. Round j to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f. Let k(d) be the second derivative of 5*d**3\/6 - d**2 + 6*d + 38. Let m = 10 - 16. Let w(n) = m*s(n) + k(n). Determine w(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of -11*l**3\/6 + 242*l. Let p(b) = 2*b**2. Let w(t) = -18*t**2. Let k(o) = -52*p(o) - 6*w(o). Calculate k(j(z)).\nAnswer: 484*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.29 - -0.19. Which is the closest to 2\/7? (a) 0.5 (b) z (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 47 = -4*c. Suppose -c = -4*m + o, -4*o + 12 = -2*m + m. Suppose -m*p + 1323 + 1265 = 0. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22670 less than 22673?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1245 and 645.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 4*h + 19 = 0, h - 299 = -259*w + 232*w for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 46800 rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**15*u*u**(-19)*u\/u**(-9)*u\/(u\/(u*u**21\/u)) assuming u is positive.\nAnswer: u**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*v**2 + 6*v**2 + 6*v**2 - v**2 + 0*v**2 - v**2 + 2*v**2 + 1 - 1 + (0*v - 3*v + v)*(0 + 0 - 2*v) - v**2 + 4*v**2 - 2*v**2 + 0*v + 0*v - v**2.\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(125) + sqrt(125)*4 - -3*sqrt(40)\/sqrt(8).\nAnswer: 28*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 4*q + 13 = 0, 5*g - q - 35 = 4*q. What is the first derivative of 21 - 6 + g*k**4 + k**4 + 4*k**4 wrt k?\nAnswer: 40*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2202001222 (base 3) in base 11?\nAnswer: -37630","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27065\/247 + -2079\/19. Let h = -12 + 7. Which is the biggest value? (a) -0.2 (b) n (c) 5\/2 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-1))\/(((-25)\/(-1650))\/(3\/18))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, 185.\nAnswer: -5, -4, 185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -96, -409, -932, -1665, -2608, -3761, -5124?\nAnswer: -6697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, s: 1, n: 1}. What is prob of picking 1 s and 2 r?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 + (-5)\/2)*-10. Let c = t - 2. Suppose 4*s + 35 = w, -67 = -0*w - 2*w + 5*s. Solve c*n = 4*x + w, 3*x = 2*n - 18 - 4 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 101 - 101.1. Let x = 38.6 - 38.2. Which is the fourth smallest value? (a) j (b) -0.2 (c) 0.3 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i + 14. Let q be n(10). Let f = q + 4. Let l = -1.73 + 2.23. Put -2\/3, f, l in ascending order.\nAnswer: f, -2\/3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 309 + -288. Calculate the lowest common multiple of 3 and h.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -31*j + 4 - 14*j + 1. Let q be c(-3). Suppose -3*v = -3*a + 147, 0 = -7*a + 4*a - 4*v + q. Is 10 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 29, 135, 313, 563, 885, 1279?\n\"Answer: 36*t**2 - 2*t - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 12 - (16 - (-4 + 0 + -4))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 92 + -93. Which is the nearest to 2\/9? (a) g (b) -4 (c) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 442661, 885347, 1328033, 1770719, 2213405?\n\"Answer: 442686*u - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 10, b: 9}. Give prob of sequence bb.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 1069 = -0*x + 7*u, x + 4*u - 348 = 0. What is the least common multiple of x and 46?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 - 24*d**2 + 28*d + 7. Suppose 0 = -12*c - 7*c + 418. Let p be b(c). What is p rounded to the nearest ten?\nAnswer: -350","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1681 and 287.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 5, t: 8, a: 2}. Give prob of sequence apa.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/6 (b) -2\/195 (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 4, -4, -5, -1, -9, -97 in decreasing order.\nAnswer: 6, 4, -1, -4, -5, -9, -97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*c - 323 + 113. Let v be 632\/208 - c\/(-5). Let j(q) = q**3 - 5*q**2 + 4*q. Let g be j(4). Which is bigger: v or g?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, b: 2, q: 2, c: 1, t: 1}. What is prob of sequence mc?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -11222000102011 (base 3) to base 10\nAnswer: -2637823","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2558*c - 1. Let s(a) = 3*a + 897. Calculate n(s(y)).\nAnswer: 7674*y + 2294525","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 4*s + 37. Let t be z(-6). Suppose 21*q = t*q - 112. Let c be 0\/(q\/14*2\/2). Are c and 1\/68 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*r**2\/6 - 68135*r\/6 + 77000 = 0.\nAnswer: 75\/11, 1232","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 6*i + 50. Let w be d(3). Suppose 2*l - 322 = -5*n, 3*n - 77 = 3*l + 133. Suppose 0 = w*y - n*y - 68. What is the highest common factor of 17 and y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, 23 in ascending order.\nAnswer: -4, 0, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2782 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/x**(-1\/12))\/(x*x**(-1)))**35)**29 assuming x is positive.\nAnswer: x**(13195\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 219 and 146.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/78 and -49\/365466.\nAnswer: 4751058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((2\/(-3))\/(-2))\/(4\/(-348)). Let m = l - -25. Let k be (-5 - (m + 1))*6\/(-4). Solve -12 = 4*w + 2*o, -w + o + 0 = -k for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 6. Let d = -0.02 + -4.98. Sort -4, d, w in increasing order.\nAnswer: d, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*m + 64 = 172 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 41969+2.391396\nAnswer: 41971.391396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 43085\/25 + (-2)\/(-5). Let o = c - 189243\/110. Calculate the common denominator of o and 2\/(-1) - (-63)\/(-54).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*k = -3*k - 3 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l + l + 9 + 4*l.\nAnswer: 2*l + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -67*2.\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 651 = -19*o + 2*t - 735, -o - 3*t = -79 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0*2\/(2 - 0). Which is the nearest to 0? (a) x (b) -5 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, -749, -112, 5, -3 in increasing order.\nAnswer: -749, -112, -3, 5, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2777188 rounded to the nearest ten thousand?\nAnswer: -2780000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6226 - -6236. Let r(t) = 3*t**2 - 6*t - 8. What is the lowest common multiple of r(6) and w?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11280855 and 7?\nAnswer: -78965985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t. Let w(f) = -2 + 10 - 8 + 1. Let i(y) be the first derivative of -2*y**3\/3 + 3*y - 1. Let b(p) = 4*i(p) - 12*w(p). Give b(v(a)).\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1424596 is divided by 200?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 44092?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*x = -4*x. Solve 3 = -3*d, 2*f + 4*d - 4 = -x for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**4\/3 + 107*d**3\/3 + 218*d**2\/3.\nAnswer: -d**2*(d - 109)*(d + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/5 of a day?\nAnswer: 17280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.00345 and 0.294.\nAnswer: 0.0010143","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 143964.862 + -144095. Let y = -130 - t. Round y to 2 dps.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 PM and 5:04 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 51926?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**6\/i)**(-2\/59) assuming i is positive.\nAnswer: i**(-10\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 42 = 4*d, 2*g + 3 = -5*d - 46. Let y be d\/(-12) + 4 + -4. Let m = -20.5 - -20. Which is the closest to 0? (a) -0.3 (b) y (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 46*y + 17. Let o(t) = t**2 + 16*t + 13. Let f be o(-17). Let l = 36 - f. Is s(l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 5*f - 21, -2*f + 6*f = 3*x - 25. Let z(r) = -16*r + x*r + 5 - 25*r. Is z(-3) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1875.9 times 76.1\nAnswer: -142755.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v + 1. Let m be 6\/(-2) + (-1 - 1). Calculate j(m).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8630464 to the power of 1\/2, to the nearest integer?\nAnswer: 2938","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -3*m - 7. Let o(b) = b**2 + 11*b + 9. Let j be o(-9). Let v be w(j). Solve -5*n = v, 0 = f - 3*f - 4*n - 24 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/48 and (-490)\/1968*2 + -6*(-18)\/162.\nAnswer: 1968","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 244 + -1204?\nAnswer: -410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96134.69km to meters.\nAnswer: 96134690","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -376 - 439. Find the common denominator of -75\/8 and (5765\/v + 7)*6\/(-8).\nAnswer: 1304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 868 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 5, 1, 109, 9 in descending order.\nAnswer: 109, 9, 6, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/416 and 101\/80.\nAnswer: 2080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 + (-12)\/8)\/(2\/(-4)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79961?\nAnswer: 7, 11423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 take away 0.05023?\nAnswer: 0.44977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b**3 - b + b + (-6*b + 20 - 20)*(52 + 3*b**2 - 52 + (5*b - 4*b + 0*b)*(b + 4*b - 3*b) + 3*b - 3*b - 3*b**2) to s*b**2 + g*b**3 + u + p*b and give g.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 66, 314, 984, 2286, 4430?\n\"Answer: 35*u**3 + u**2 + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10.80802 + -28.5947. Let d = 0.02728 - q. Let s = d + -39. Round s to 1 dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6624226\/121 + -54746. Calculate the common denominator of q and 31\/77.\nAnswer: 847","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*j**2 - 12634*j - 3158 = 0. What is j?\nAnswer: -1579, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.8 - 5.3. Which is the fourth smallest value? (a) -0.4 (b) m (c) 2 (d) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 - 20*l**2 + 46*l + 39. Give j(-22).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -4. Let p be 3\/j*(-4)\/6. Let w(i) = 13*i**2 - i. Is w(p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/22736350 and 115\/519688?\nAnswer: 90945400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2293*q - 959*q + 529*q - 114970 = -338256 for q.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-29 + 61*t**2 + 29)*(-3*t**2 - 11*t**2 - 10*t**2) + t**4 - 3*t + 3*t to b*t + d*t**3 + g + v*t**2 + m*t**4 and give m.\nAnswer: -1463","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1688048 smaller than -55?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -8*f - 60. Let p = 351 - 359. Let v be z(p). What is the closest to -1 in 1\/5, v, 3, -3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 73 - 103. Are u and -31 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -26 or -23?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.1883894 millilitres?\nAnswer: 0.0001883894","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*d**2 + 8*d**2 - 4*d**2)*(-3 + 3 - 2) + d**2 + 1 - 1 + (d + 2*d - 2*d)*(-5*d - 4*d + 2*d) as h*d**2 + s + r*d and give h.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 73 + (4 - (43 - 15)).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 7.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -60308, -115882, -171456, -227030, -282604, -338178?\n\"Answer: -55574*t - 4734","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 24*d + 197. Let m be n(-8). Calculate the greatest common factor of 335 and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 - 8*t**2 + 8*t - 10. Let f = -21 + 12. Let b be i(f). Is 221 - 1\/(b\/2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -176 - -181. What is the biggest value in l, 0.4, 1.3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25021107*-2\nAnswer: -50042214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*q**3 + 36*q**3 + 3*q - 4*q + 133 + 64 - 25*q**2.\nAnswer: -10*q**3 - 25*q**2 - q + 197","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (10\/4*(-20)\/(-25))\/(-7)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4, -2\/3, 1, -4.2, 1.13, -30?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 362 - 359. Solve -l*t + 0*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3870459 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.03886 and -28.\nAnswer: -28.03886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (12\/32*-1)\/(-3)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-294)\/(-15) + 6\/(-10). Let a = -11 + m. Solve 0 = -2*g - 2*c, -c - a = -4*g + 3*c for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-16)\/(-2))\/((-2)\/(-3)). Let y = p + -7. Let c(n) = -2*n + 0 + n + y. Determine c(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - -4 - 4 - 2) + 28 + -23 + -28\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of -i**7\/385 - 29*i**6\/660 - 13*i**5\/66 + 25*i**4\/132 - 67*i**2 + i. Factor r(q).\nAnswer: -2*q*(q + 5)**2*(3*q - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78 divided by 3.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -544613\/20 - -27225. Find the common denominator of l and 99\/14.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -6*s**2 - 5517*s - 2757 = 0.\nAnswer: -919, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -1. Let v be 8\/((1 + 0)*o). Let u = v + -6. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 5, c: 3}. Give prob of sequence dddc.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5455045 - -3?\nAnswer: 5455048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 5769 divide 2337102666?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 773597 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20 - 6. Suppose 9*b + 10 = c*b. Solve 0 = -b*i + 2 - 4 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 4\/242165?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -9*b - 1. Let c be k(1). Let j be (6\/15)\/((-12)\/c). Find g, given that g**2 - 2\/3 - j*g = 0.\nAnswer: -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -935 - -927. Sort 14, z, 2, 0.\nAnswer: z, 0, 2, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 4*c - 8, 0*h = -3*h - 3. Let g(o) = o**3 - 3*o**2 - o + 1. Let z be g(2). Sort z, c, -3 in decreasing order.\nAnswer: c, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -17995 (b) -5\/6 (c) -106 (d) -44\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -50, 5, -0.00254, -22\/7, -3?\nAnswer: -0.00254","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 125079191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.17 - -1.07. Let x = -53\/95 + 3\/19. Which is smaller: x or f?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -3*d**3 - 9*d**2 + 2*d + 5. Let r(n) = -4*n**3 - 9*n**2 + 2*n + 6. What is -3*o(p) + 2*r(p)?\nAnswer: p**3 + 9*p**2 - 2*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 + 17*j + 31. What is the lowest common multiple of 9 and c(18)?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = 3*w - 55, 313*j - 308*j = 2*w - 50 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 24*s**2 - 4*s - 10. Let r(h) = 71*h**2 - 11*h - 30. What is -17*j(n) + 6*r(n)?\nAnswer: 18*n**2 + 2*n - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 3942?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -o**2 + 14108*o = 0. What is o?\nAnswer: 0, 14108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -12, -1 = -4*o - 3*a - 2. Let n(v) = 5*v**3 + 2*v**2 - v. Let y be n(1). Suppose -5*m + 9 + y = 0. Solve -o = m*z + 7 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.7, -2.52, 4, -5?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 15, -5, 316?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 581309?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 7:10 PM?\nAnswer: 12:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(-3)*1227*1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = -3*d + 60. Differentiate 0*v**2 + 98 + 18*v**d - 115 wrt v.\nAnswer: 36*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (17\/34)\/(((-10)\/4)\/(-1))\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 70 + 53. Does 7 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 + -1 - -4)*(-224 + 333). Round n to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 921 rounded to the nearest one hundred?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/((-240)\/(-18)))\/((-3)\/(-4)). What is the nearest to c in -2.3, -0.2, 2\/3, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1664879.\nAnswer: 71, 131, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 + 2*q**2 - 2. Determine k(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/441680 and -14\/160109?\nAnswer: 12808720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 + 56 + -3 + -52.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 + (-862)\/(-124))\/(18\/36).\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5796971 is divided by 5328.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 957366?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c - 27. Let a be o(22). Let q(d) = -d**3 + 5*d**2 + 4. What is the tens digit of q(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 + 20*l - 8. Let i(m) = -4*m**2 - m + 1. Determine -b(c) - 3*i(c).\nAnswer: 11*c**2 - 17*c + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8031 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 9 - 5. Suppose l = 8*n - 4*n. Let h be (11 - 7)*(2 - n). Solve h*k - 7 = 5*w, -2*k = 3*k - 15 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1102350 + 53?\nAnswer: -1102253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -104 divided by 8\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-96)\/64)\/(3\/(-14))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15 + 14.05. Let c = d + 0.94999943. Round c to seven decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 68*u**3 - 3*u + 20*u**3 + 1 + 46*u**3 + 3*u**2 to the form p*u**2 + m*u**3 + d + o*u and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 37\/15 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6 - 5 - 4) + 6. Put -38, t, -2 in decreasing order.\nAnswer: t, -2, -38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -2*sqrt(68) + -5)**2 + -3.\nAnswer: 16*sqrt(17) + 273","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i - 5*i + 4*i)*((-2 + 3 - 2)*(4 - 2 - 4) + 1 + 3 - 3).\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -14328cf - -1?\nAnswer: -14328ce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 204 - 201. Find the second derivative of -49*m - 13*m**5 + 5*m**r + 11*m**5 - 18*m wrt m.\nAnswer: -40*m**3 + 30*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4, e: 2}. What is prob of sequence ette?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q - 6 + 3*q + 2)*(-q**2 + 7*q**2 - q**2).\nAnswer: 10*q**3 - 20*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 346631?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + t - 5*t = 0, -t = 4*i. Suppose 4*n + g - 7 = 0, i*n = -2*n - 5*g - 1. Let d = 8 - n. Calculate the remainder when d is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 6*p - 3*z - 2801, -p = -z - 700. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3143 + 222212?\nAnswer: 216036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 268 = -5*w + w, 2*w = 2. Suppose -4*q + 2*a = -d, 5*q + 38 = -a + 103. Suppose -10*n + q*n = 152. Does 8 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 - 6*v + 2. Let u be m(-6). Solve -3*r - u*p - 3*p = 2, r - 5*p = 6 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2122201012111 (base 3) in base 6?\nAnswer: -50130404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1290.31 + -1249. Round d to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26 + -32. Let l = d - -10. Suppose 5*x - 2*i - 23 = -0*i, -5*i = 2*x - 15. What is the third biggest value in l, -2\/7, x?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -514 = -2*u - 13784. Let i = -11084 - u. Let v = i - -9406. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-21740)\/25)\/(2\/(-230)). Suppose 0 = 2*x - 3*d - 40003, 5*x = 2*d + 2*d + n. Suppose 10*f + x = 5*f. What is f rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h + 5*q - 33 = 3*h, -2*q - 55 = -5*h. Solve 8 = 15*f - h*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 392398 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 5*u = 65, -3*v - u = 281 - 307 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70 - 42 - (27 + (-5 - -7)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 248.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 12*t + 7*t - 7*t. Let v(x) be the third derivative of -x**4\/24 - 5*x**2 + 6*x. What is v(w(m))?\nAnswer: -12*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i + 0*i**2 + i**3 + 5*i**2 + 0*i**2 - 7. Let r be x(-5). Find j, given that 1\/2*j**2 - 1\/2*j - 1\/6*j**r + 1\/6 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 465360 divided by -210\nAnswer: -2216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 40*k**2 - 46*k + 8. Suppose 0 = o + 3*o - 148. Suppose 5*l + 2 = o. What is the smallest common multiple of l and a(1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7060 + 6942 = -2*o for o.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/2 - (-12 - -3). Which is the closest to -2? (a) -1\/4 (b) t (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1666 divided by -2\nAnswer: 833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m**2 - m**2 - 8*m + 10*m + 2*m**3 - 5*m**2 to q*m**2 + d*m**3 + k*m + u and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*l*p**3 - 70*l*p**2 - 24*l*p + 14*l + 9*p**3 wrt p.\nAnswer: 12*l*p - 140*l + 54*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -190, -222, -244, -250, -234, -190, -112, 6?\nAnswer: 170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 - 8*s**2 + 8*s. What are the prime factors of f(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -6*((-7337)\/(-242))\/23?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fn when two letters picked without replacement from nffnnfn.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-1)*s)**(-9\/11) assuming s is positive.\nAnswer: s**(-9\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -2 + sqrt(63)\/(sqrt(108)\/(sqrt(192) + sqrt(12) - sqrt(12))) + 0 + -2*(-5 + -4*sqrt(28)\/sqrt(4))**2.\nAnswer: -274 - 76*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*o + 1645479 = -402061. Let i = -544940 + o. What is i rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -177355 or -177145?\nAnswer: -177355","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2858 divided by -1?\nAnswer: -2858","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*p - 3*p = -32*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3361, -3, -220, -1\/2, 0?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -3*w + 9 + 19, 0 = w - 4*x + 19. Let b(d) = 855*d + 7. Is b(w) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 + 9*y**2 + y + 11. Let h be o(-9). Let d(w) = h + 4*w - 6 - 12*w - w**2. Let u be d(-8). Sort 2, u, -1 in decreasing order.\nAnswer: 2, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (640\/288)\/(-10)*((-1)\/(-31))\/((-3)\/9).\nAnswer: 2\/93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1495*b**4 + 1505*b**3 - 10*b**2 = 0.\nAnswer: 0, 2\/299, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 5*o - 434556, -7*o + 10*o + z - 260733 = 0. Suppose 0 = -0*d - 3*d + 159270. Let n = d + o. What is n rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + -2 + 9 + 0. Suppose -y - 20 = -6*m + m, -5 = 4*m - x*y. Suppose -w + 42 = -4*p, -m*p = -4*w + 6*w - 97. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -f - h, 2*f + h + 3 = -8 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -5*n + 14, -3*n = 2*t + 2*n - 17. Let i = t + 21. Let y = 12 - 3. What is the remainder when i is divided by y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4, d: 2}. What is prob of picking 2 a and 1 d?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z + 4. Let m be w(-4). Suppose m = 2*h - 3 - 3. Solve -8*j - 15 = -h*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 + x**2 + 23. Let m be b(0). Suppose 6*f - 2*f + 3*k = m, 0 = -4*f + 4*k - 12. Let u = 9 + -9. What is the nearest to u in f, 4, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -132493 divided by 56.\nAnswer: -132493\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*d**2*w**3 + d**2*w**2 + 3*d**2 + 1623*d*w**3 + w**2 wrt w?\nAnswer: 12*d**2 + 9738*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1 + -0.6. Let i = -0.703 - r. What is i rounded to two decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (6 - 10 - 13).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9)\/2 - 2\/4. Let x(u) = -1. Let c(s) = -2*s + 1. Let i(o) = r*x(o) + c(o). Let a(j) be the first derivative of -j + 1. Calculate 5*a(l) + i(l).\nAnswer: -2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - 0)\/(3\/15). Let r be (-3)\/((-3)\/y)*4. Let q = r + -10. What is the greatest common factor of q and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 2, 4, -6, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1403, -1405, -1407, -1409?\nAnswer: -1411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - -4 - 1 - (-4 + 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.8 + 0.2. Let q = -0.09 - -14.09. Let r = 17 - q. What is the second smallest value in 5\/6, k, r?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -273*t**2 + 2234331*t\/8 - 101277\/8 = 0.\nAnswer: 33\/728, 1023","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7325 + 7326. Let v(y) = -13*y**2 - 6*y + 1. What is v(b)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((54\/(-180))\/(6\/5))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19830806?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -6*t**2. Let m(z) = -105*z + 2. Give g(m(l)).\nAnswer: -66150*l**2 + 2520*l - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(6\/(-3))*15\/2. Let w be (20\/25)\/((-1)\/a). Is (-814)\/(-8) + (-3)\/w a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -128 divided by -4.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from {r: 5, w: 3, z: 3, y: 2}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 + 8*x**2 + 2*x. Let g be r(7). Let d be -9*((-79)\/(-158))\/(-2 + 9\/6). What is the greatest common divisor of d and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.9, 8.5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g - 60 = -0. Solve 0 = -g*u + u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -27921149 and 2.\nAnswer: -27921147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11603?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 95697252 divided by 3417759.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**3 - 95*t**2 - 520*t + 1380.\nAnswer: 5*(t - 23)*(t - 2)*(t + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 5*x**2. Let z(y) = 2 - 3 + 1 - 2*y**2. Determine z(i(w)).\nAnswer: -50*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 91 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -17376*j**2*k**3 - j**2 - 2*j*k**4 - 7250*j + 3 wrt k?\nAnswer: -52128*j**2*k**2 - 8*j*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 23\/3 (b) 423 (c) 0.1 (d) -3 (e) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 3*(sqrt(539) - ((2*2*sqrt(539))**2 + sqrt(539))) + -3 + -4.\nAnswer: -25884","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 3103591.8 to the nearest 1000.\nAnswer: 3104000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 1)*(2 + 3*i**5 - 186*i**4 - 4 + 184*i**4).\nAnswer: 6*i**5 - 4*i**4 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7309333918 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k and 1 w when four letters picked without replacement from {k: 3, w: 4, x: 1, g: 2}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 10 = -4*j, -31*j = -3*z - 32*j + 15 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 23559*g**3*q**2 - 71*g**3*q - 2*g**2 - g*q**5 - 908*g - 2*q wrt q?\nAnswer: 47118*g**3 - 20*g*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*n + 2 - 2*n - 8*n)*(-2 - 2*n + 2) + 0*n + 2*n**2 + 0*n.\nAnswer: -8*n**2 - 4*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.4, -3.9, -0.1, 0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 173231180 to the nearest integer?\nAnswer: 557","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2\/2 - 69*d + 520.\nAnswer: (d - 130)*(d - 8)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1213 (base 4) in base 12?\nAnswer: -87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-76)\/(-210) + (-2 - -4)*(-32 - (-18117)\/567).\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 + 8*a**2 - 3*a - 9. Let x be i(-8). Calculate the greatest common factor of 75 and x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (92\/5382)\/((-10)\/130).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*b - 11 = 12*b + 4*v, -5 = 3*b + v for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that q**4\/4 - 25*q**3\/4 + 47*q**2\/4 - 23*q\/4 = 0.\nAnswer: 0, 1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 - 2*t + 110. Let f be y(0). Suppose 5*j = 5*i - f, -10 = -i - 4*j + 2*j. What is the greatest common factor of 198 and i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 14*a**2 + 4*a + 4. Let l = 32 + -34. What are the prime factors of n(l)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/3)\/((-1)\/2). Let i = -4.7 - -5. Let j = 408.1 + -408. What is the closest to j in -1, l, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a week in minutes?\nAnswer: 3024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 - 7. Let j(p) = -2*p**2 - 7*p - 7. Let g(i) = -i**2 - 3*i - 3. Let w(x) = d*g(x) - 3*j(x). Let l(u) = 5*u. Determine l(w(q)).\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 8:58 AM?\nAnswer: 10:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 4*z + 1. Let a be p(8). Let q = -29 + a. Let c = -1\/48 + 3\/16. What is the closest to -3 in 1\/5, q, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 + 5*h + 2. Let o be y(-3). Suppose 0 = 2*q - 2*k - o, 5*q + 2*k - 8 - 13 = 0. List the prime factors of (-75)\/10*(-6)\/q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 - 11 + 0)*(408*u - 32 + 14 + 20).\nAnswer: -8568*u - 42","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 3*r**3\/4 + 783*r**2\/2 - 3141*r\/4 + 393 = 0?\nAnswer: -524, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -4, -29, -76, -145, -236?\n\"Answer: -11*n**2 + 8*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 16612, 0, 3 in decreasing order.\nAnswer: 16612, 3, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 78374 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.9943 rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1601 is divided by 22?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22 and 1078?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-210)\/(-8) - (-2)\/(-8). Suppose -g + 4*g = d + i, -3*d - 1 = 2*g. Let f = 17 - g. What is the remainder when f is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4371307 divided by 4371307?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -35 - -63. Let l = -1086 - -1769. Let u = l - 546. Calculate the remainder when u is divided by g.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (66\/(-12))\/(-1*(-6)\/(-4)). Suppose 55 = 4*o - 5*s, -4*o = -6*o - 3*s + 11. Suppose 0*p + 5*p = -5*b + 45, -2*p + 5*b = o. Is x greater than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 222*v - v**3 - 204*v - 5*v**3 to x + w*v + u*v**3 + s*v**2 and give u.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 802854 and 4653.\nAnswer: 8831394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - f + 7*f**3 - 24*f**3 + 9*f**3 to r*f**3 + j + b*f + l*f**2 and give r.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-19)\/2 - -10)*1062 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8 - (-16)\/(-12)*220\/40. Sort -0.8, -67, l in descending order.\nAnswer: l, -0.8, -67","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 213617435 to the nearest 100000.\nAnswer: 213600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 62\/22 - 8\/(-44). Suppose 0 = -f*v + 36 + 9. Suppose -4*c = v + 5. Let w(g) = -6*g + 5. Let z(o) = -3*o + 3. What is c*z(a) + 3*w(a)?\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*a + 14*a - 27*a)*(-a**2 - 10*a**2 - 2*a**2).\nAnswer: 364*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16.85 + -16.85. Let x = 49 + -50. What is the nearest to h in x, 4, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/4 of a centimeter?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1))**(2\/49)\/(h**(-11\/2)\/((h*h**(3\/7)*h)\/h)) assuming h is positive.\nAnswer: h**(675\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 37990234 to the nearest integer?\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -42, -74, -106, -138?\n\"Answer: -32*k - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1786279?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 2*f - 6*f = 7112, 4*f - 7128 = -5*u. Let m(o) = 228*o + 9. Let z be m(-3). Let w = u + z. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 243 = 6*a - 249. Calculate the smallest common multiple of a and 4.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -823 + 480?\nAnswer: -343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-39)\/6 - 2\/4. Let i = k - -12. Suppose -i*c + 4*j + 48 = 0, 2*c + 6*j = j + 39. Calculate the remainder when 35 is divided by c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -77037, -77039, -77041, -77043, -77045, -77047?\nAnswer: -77049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of p**3\/9 - p**2\/3 + p\/3 + 4. Factor w(x).\nAnswer: (x - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*-3*sqrt(33))\/(-2*sqrt(27)) + 3)**2.\nAnswer: -9*sqrt(11) + 135\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 276 is divided by 103?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fzffnfmmmfnmfmdnzz. What is prob of sequence fnm?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 529400?\nAnswer: 2, 5, 2647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3043215 millennia in months?\nAnswer: 3651.858","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z + 2*z - 3*z + (6*z - 2*z + z)*(5 - 1 - 3))*(-44*z + 49 - 49).\nAnswer: -264*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.007799 - 2.032. What is j rounded to 3 dps?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 144865.7ml?\nAnswer: 144.8657","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/26 - 0)\/(-2). Let p = 366 - 365. Which is bigger: x or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 11549?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 72 and 70020?\nAnswer: 140040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of q**5\/12 - q**4\/24 - q**3\/6 - q. Let l(s) be the second derivative of x(s). Let k be ((-4)\/(-20))\/(5\/(-25)). What is l(k)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, w: 2}. Give prob of picking 2 w and 1 u.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2*d + 9 - 3 - 3 - 20.\nAnswer: 2*d - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 AM and 11:49 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkkkkckkckkkkkccck. What is prob of picking 3 k?\nAnswer: 91\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (1*sqrt(325) - sqrt(325)) + 5 + sqrt(325) + -1 + 1)**2.\nAnswer: 20*sqrt(13) + 329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaajaaaajajaaaaa. Give prob of picking 1 j and 2 a.\nAnswer: 117\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8702 is divided by 28.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*4*(sqrt(40)\/sqrt(8) + 2).\nAnswer: 48 + 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 212 and 183857.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 + 13. Suppose 5*v - 4*v - 9 = -2*s, j*v - 9 = 0. Suppose s*q - 38 = -k + 3, -3*q - 23 = -k. What is the remainder when k is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 - 27 - (-1 + -6 + 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -71 + (-16 - -118) + 88?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u**(2\/7)*u)*u)\/u**(-2\/3)*u**4*u*u**(-3\/2)\/u)**(2\/17) assuming u is positive.\nAnswer: u**(121\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 69\/3*-1 - 1. Let t = -19 - r. Solve 0*l + 5*l = -j - 15, -5*j - 15 = t*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**4 + 0*u**4 - u**4 + (u + u + 3*u**3 - u**3)*(8*u + u + 13*u).\nAnswer: 42*u**4 + 44*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-3*(-4*(sqrt(176) - sqrt(176)*-3*-5)**2 + 4)*-3.\nAnswer: 3725460","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 5*w**2 - 39*w - 23. What is z(8)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*r**5\/4 + 20129*r**4\/4 + 174812*r**3 + 1499895*r**2 + 611100*r = 0.\nAnswer: -20, -14, -3\/7, 0, 2910","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum -48927 and 128.281.\nAnswer: -48798.719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t**(3\/7)\/t)*t)\/t**15)\/(t**(-3\/2))**(1\/4) assuming t is positive.\nAnswer: t**(-675\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 12141400 to the nearest 1000000.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12095 and 219965?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 + 3*a**2 + 3*a + 4. Determine h(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1333 (base 5) to base 10.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22 - -356. List the prime factors of r.\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12324313*o**2 + 16390796*o.\nAnswer: 24648626","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 + 2*y**2 + 3*y. Let k be c(3). Let r(w) = -w + 3. Let g be r(6). Let j be (g\/(-10))\/((-24)\/20). What is the closest to k in 0.1, -2\/11, j?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5634 - 6.\nAnswer: -5640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1131 and 369317?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1083 a factor of 37116514?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.072*-0.3.\nAnswer: -0.0216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 0 + 39 - f**2 + 30. Calculate the remainder when i(0) is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 233.448466 rounded to one decimal place?\nAnswer: 233.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -212 (base 6) to base 9\nAnswer: -88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 4 = -2. Suppose 5*u = -t*i + 24, 17 - 1 = u - 5*i. Let w be 1\/(-2) + 21\/u. What is the highest common divisor of 9 and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -1306*j**2. Let x(b) = 2*b - 45. Let d(k) = -2*k + 40. Let c(g) = -9*d(g) - 8*x(g). What is p(c(v))?\nAnswer: -5224*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -656799 by 33.\nAnswer: -19903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -217.96 + 218. Put -0.3, p, -39 in decreasing order.\nAnswer: p, -0.3, -39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20*p**3 - 2*p + 0*p - 8*p**2 + 158 - 73 - 4*p**3 + p wrt p?\nAnswer: 96*p - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of -h**4\/12 + h. Let d(r) be the second derivative of -r**3\/3 + 2894*r. Calculate d(z(x)).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2\/5)*n*n)**(-10\/13))**(-14\/5)*(n*n**0*n**(-2\/13))\/((n**8\/n)\/(n*n\/(n*n**0\/n))) assuming n is positive.\nAnswer: n**(-46\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15584 and 1106464.\nAnswer: 1106464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1657 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wzf when three letters picked without replacement from {w: 3, f: 1, z: 5}?\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21338119\/10 + 2130893. Let d = 2922 + j. Calculate the common denominator of d and 55\/((4 + 0\/(-4))*-2).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -56\/143 and -61\/8352916.\nAnswer: 8352916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39, 39, 37, 33, 27, 19?\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100001011110 - 11?\nAnswer: -100001100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from {j: 7, c: 3}.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -2391.0217 to the nearest 10.\nAnswer: -2390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-4 + -3 + 5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirteen quarters of a millennium?\nAnswer: 39000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/234654 and 155\/54612.\nAnswer: 57724884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2926 and 848122?\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.2 and 15.45.\nAnswer: 33.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1246246?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 + 9*x - 10. Give l(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 PM and 10:29 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3088 + -4117?\nAnswer: -7205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 8000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5223 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 437*a. Let w(l) be the second derivative of l**4\/6 - 100*l. What is k(w(s))?\nAnswer: 874*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*y + 2256 - 2352 = 0 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.59, 115.4, -384, 0.2?\nAnswer: 115.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1194063.7 - -1194063. Let n = -1.3 - 6.7. What is the second biggest value in n, q, -2\/17?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.42 (b) 3 (c) -4 (d) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 3*j**2 - 6*j. Suppose w - 5*d - 18 = 0, -2*d + 3*d + 18 = 2*w. Does 24 divide b(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2484.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.0727 and -128926.\nAnswer: -128925.9273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-22 + 22 + 20*x)*(5 + 1 - 5)*(18*x**3 + 19*x**3 + 22*x**3) to d*x**4 + j + u*x**2 + r*x**3 + l*x and give d.\nAnswer: 1180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2933066*i**2*u - 73607606*i**2 - 3*i*u wrt u.\nAnswer: 2933066*i**2 - 3*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s\/(s\/(s*s*s*s**(2\/3))*s)*s)*s\/(s*s**(-15))*(s*s**11)\/s*s*s**14*s assuming s is positive.\nAnswer: s**(118\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7899*a*l**3 - 20469*a*l**2 - a*l wrt l?\nAnswer: 47394*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -6*w - 7*w + 10*w. Let s(n) = -n. Calculate 2*d(v) - 9*s(v).\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/6*12*27\/(-72)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 65908218 or 65908220?\nAnswer: 65908218","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -709 + 6*s**2 + 709.\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**4 - 124226*i**3 - 1937123706*i**2 - 251651940542*i - 249714941060 = 0 for i.\nAnswer: -30991, -130, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a milligram in nanograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -46*j + 9. Let h be w(1). Let x = 51 + h. Calculate the remainder when 55 is divided by x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*o - 39 = 1035 + 582 for o.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -1. Suppose s*q = 4*q + 6. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 2*c - 5 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 210156*i**2*u**3 - 3*i**2 + 2*i*u**2 + i + 156*u**2 wrt u?\nAnswer: 1260936*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 - 5*x + 2. Let l be r(4). Let f be -43 + l + 3 - 3. Is 10\/f - (-58)\/18 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((924\/(-350))\/(-22))\/((-4424)\/(-7900)).\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.6 + 710840052.963.\nAnswer: 710840052.363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + f - 351 = -45, 1238 = 4*p - 3*f. Let a = -207 + p. List the prime factors of a.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2702*l - 3280*l = 39882 for l.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -n**2\/2 - 13*n\/2 - 6 = 0. Calculate n.\nAnswer: -12, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -3*q**2 - q. Suppose 3*c - 196 - 8 = 0. Let i = 69 - c. Determine g(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 2*x - 2036, 0*h + 2021 = 2*x - 5*h. Does 93 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61.38423 milliseconds to hours.\nAnswer: 0.000017051175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -9*q**3 - 13*q**2 - 8*q - 4. Let w(y) = -5*y**3 - 7*y**2 - 4*y - 2. Let j(m) = -4*c(m) + 7*w(m). Let t be j(-2). Do 15 and t have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1070 + -315. Let z = t - 461. What is the least common multiple of 16 and z?\nAnswer: 2352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 213632 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.05 - -2.5. Let p = w - -0.8. Let v = p - 0.2. What is v rounded to 1 dp?\nAnswer: 3.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - -9. Solve -h = 4*s - 5 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 11) to base 16\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1009280, -1009274, -1009256, -1009220, -1009160, -1009070?\n\"Answer: z**3 - z - 1009280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -508334*f**2 + 5*f - 6. Suppose 2 - 20 = -3*r. Let o be g(r). What is o rounded to the nearest one million?\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -87\/9441080 and 63\/79840?\nAnswer: 37764320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 197 is divided by 100?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i + 136. Let p(g) = -5*g + 679. Let t(w) = 11*f(w) - 2*p(w). Calculate the remainder when t(0) is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*w + 17*w + 293610 = -3*t, -3*w = 3*t - 293616. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -36\nAnswer: -3.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l - 22 + 0*l - 25 + 47. Let h(j) = 23*j. What is b(h(p))?\nAnswer: 23*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -0*t + 2*t - 14, 4*m = -3*t + 31. Suppose -2*g + 0 = -m. Find the common denominator of (-69)\/(-10) + g\/10 and 39\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 4 + 66. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 41189689 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -990, -980, -962, -930, -878, -800?\n\"Answer: p**3 - 2*p**2 + 9*p - 998","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(-12) - 14\/(-4). Suppose 25 = -5*v + k - 0*k, -3*k = 3*v - 3. Put 15, d, v in decreasing order.\nAnswer: 15, d, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/49? (a) 3 (b) -16 (c) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-8)*n*n*n**(-2)\/n*n*n*n assuming n is positive.\nAnswer: n**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 15) to base 3.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 304, 2399, 4492, 6583?\nAnswer: 8672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 2*t - 99 = 0, -37*t + 35*t = 5*r + 447. Are -91 and r nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 188?\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*o + 9080860 = -409*o + 25702597. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/19084 and -7\/8.\nAnswer: 38168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8084 + 8090. Suppose 0 = f + 3*f. Solve f*k - b = -3*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 890246569*u**2 + 1193480*u + 400.\nAnswer: (29837*u + 20)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.32 + -0.1. Let s = l - -0.420009. What is s rounded to five dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 5 - 10 = -2*l, 0 = 5*l for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 572220 and 5220.\nAnswer: 16594380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 + -7. Suppose 0 = 3*b - k*f + 4 + 2, b + 18 = 5*f. Solve -b*l = 4*z - 7 - 11, -3*z = 3*l - 12 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.39 less than -9508186033?\nAnswer: -9508186027.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/7*535\/1070?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a century in years?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v. Let m(x) = -x + 10. Let z be m(5). Let j(n) = -n**2 + 4*n - 4. Let r(p) = z*c(p) - j(p). Let t(s) be the first derivative of r(s). Give t(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of f**4\/4 - 4*f**3\/3 + f**2 + f + 6. Give n(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 - 5*w**2 - 3. Let p be j(5). List the prime factors of (-2 - p)\/(2\/26).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = u + u. Suppose 2*x - 2*w = -w - 9, -5*x - 2*w = 9. Suppose -4*f = -5*g - 0*f - 21, -5*g + 3*f - 22 = 0. Put x, u, g in decreasing order.\nAnswer: u, x, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -86 + 48. Let h = 200 + v. Is h a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6214bb + -8?\nAnswer: 6214b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-10)\/(-4))\/((-2)\/4). Let d(q) be the third derivative of q**4\/24 + q**3\/3 - 2*q**2. What is d(s)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 5*o + 161. Let i(a) = 14*a + 483. Calculate 8*h(b) - 3*i(b).\nAnswer: -2*b - 161","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, m: 3, d: 4, a: 2}. Give prob of picking 2 m.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15 and 27?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7e + c?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -713126598.209917 + 1528.209917. Let s = d + 713125073.00000039. Let t = 3 - s. Round t to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = 3*w + 15, 3 = -2*w + q - 7 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*x + 29 + 11 = 0. Let v = 0 + -0.4. Which is the fourth biggest value? (a) -4 (b) x (c) v (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-9)\/(-12) - 33\/(-4). Suppose -2*s + 61 = a. Suppose -m - 6*x - 1 = -x, -4*m = 5*x - s. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 2)*(-3 + 3 + 2)*((-1 - 1 + 4)*(-3*m - 4 + 4) - 6*m - 4 + 4).\nAnswer: 24*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -3*r. Let i(n) = -12*n - 58. Give 2*c(j) - i(j).\nAnswer: 6*j + 58","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -302 = -r + 4*z + 264, 5*z = 2*r - 1153. Calculate the least common multiple of r and 2376.\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -0*d - 138. Let v be (-4)\/(-10) - d\/(-30). Find the third derivative of 0*x**v - 6*x**5 - x**2 + 7*x**5 wrt x.\nAnswer: 60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7450629 is divided by 168?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -14*w**2 + 237*w - 2. Determine f(21).\nAnswer: -1199","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 123 times 2706091\nAnswer: 332849193","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1*(-14)\/4290)\/((-115)\/372). Let m = -6\/325 + t. Is m at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + 0 + 8\/12. What is the third smallest value in 4, s, -0.2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -149\/6, -1, 56, 5, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 53514 and 216?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1081978631 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dvd when three letters picked without replacement from {i: 3, t: 1, v: 2, d: 4}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*b - 34*b + 92 = 4*r - 17*b - 15*b, -5*b + 12 = 2*r for r.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1736848 - 4*j**2 + 2*j**2 - j**2 + 1736848 + j**2.\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -17\/3, -1\/4, -6 in increasing order.\nAnswer: -6, -17\/3, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, -83, -5, 208 in decreasing order.\nAnswer: 208, 3, -1, -5, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0829556 meters in micrometers?\nAnswer: 82955.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - 0. Let k(d) = d**3 + 2*d**2 + 3*d + 2. Let v be k(m). Let p = v - -89. Is p a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/(0 + 5))\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 32, 8\/11, 1\/5, 1, -28?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f - 2 = -6*f. Let z be f - (-10)\/6 - 1608\/(-18). Round z to the nearest 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.5 and -233750849274.81.\nAnswer: -233750849275.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3190 divided by 55\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -106 + 122. Suppose 25*b = 24*b - f. Let i(m) = m**2 + 14*m - 2. What are the prime factors of i(b)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z. Let f = -380 + 377. Let p(g) = -g + 5. Let a be p(0). Let n(k) = -4*k - 3. Let t(r) = -7*r - 5. Let q(c) = a*n(c) + f*t(c). What is v(q(l))?\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*c - 5*c**2 + 2 + 16*c + 1)*(-28*c - 22*c + 19*c).\nAnswer: 155*c**3 + 93*c**2 - 93*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -5, -3, 0.11, 0.23?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 828654, 828853, 829050, 829245, 829438, 829629?\n\"Answer: -n**2 + 202*n + 828453","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 837759786 to the power of 1\/2, to the nearest integer?\nAnswer: 28944","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1214 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -228744 * -0.3.\nAnswer: 68623.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -154, -158, -170, -196, -242, -314, -418?\n\"Answer: -k**3 + 2*k**2 - 3*k - 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-2\/5)*(s\/(s**3*s)*s)\/s*((s\/(s**(-1)\/s))\/s*s)**17 assuming s is positive.\nAnswer: s**(238\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + 3*j)*(-2*j + 6*j - j) to d*j**2 + t*j + s and give d.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 4*b**2 + 6*b + 16. Let z be h(-2). Is z not equal to 18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-1\/8))\/c**6)**(-12)*(c**(-1\/2)*c*c*c*(c\/c**(-6\/11))\/c*c)**(2\/23) assuming c is positive.\nAnswer: c**(31297\/506)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, 58, 10, -0.17, 0.5 in descending order.\nAnswer: 58, 10, 3, 0.5, -0.17, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 6 - 6 - 10 - -5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 3, 1, -4 in decreasing order.\nAnswer: 6, 3, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8375 by 1675.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 66168 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -310042552 - -6?\nAnswer: -310042544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4429, -44580, -177603, -436646, -863715, -1500816, -2389955?\nAnswer: -3573138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -58*-20*(-40)\/1600?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 126 - 94. Is 24 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 54825 divided by 2\nAnswer: 54825\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 935.418ng in micrograms?\nAnswer: 0.935418","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < -273\/289285?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -3*o + 3 - 1 + 4*o. Suppose 4*t - 52 = 20. What are the prime factors of j(t)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 5*s**3 - 29*s**2 - 24*s + 888. What are the prime factors of q(13)?\nAnswer: 2, 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*t**5\/2 + 30*t**4 + 192*t**3 + 537*t**2 + 1341*t\/2 + 297 = 0. What is t?\nAnswer: -11, -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(19\/((-593864)\/16)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 2781 = 5*q, 4*t - 2791 = -5*q + 7*t. Solve -q + 461 = 16*c for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101 divided by 114064\nAnswer: 101\/114064","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -1009*l + 7644. Give b(8).\nAnswer: -428","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1923 - 1932. Let r(u) = u**2 + 10*u - 9. What is r(a)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -329041 + 190673. Let l = 138375.1983 + x. Let q = l + -7.2. Round q to three decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24, -52, -98, -162?\nAnswer: -244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yi when two letters picked without replacement from iiiiiyiiyiyiyiiyiii.\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + -11121224?\nAnswer: -11121231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 20265 + -1093\nAnswer: 19172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 - 2*p - 4. Let b be h(-3). Let o(j) = j**2 - 7*j + 8. Let n be o(6). Suppose 5*m + n*a + 18 = 3*m, 4*a + 24 = -m. Is m greater than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -3*h**5 - 6*h**4 - 11*h**2 - 6*h. Let z(b) = -b**5 - b**4 - b**2 - b. Let y(u) = v(u) - 6*z(u). Find the third derivative of y(i) wrt i.\nAnswer: 180*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1149)\/(-7410) + 2\/(-13). Let v = k - 39961\/363090. Calculate the common denominator of v and -137\/84.\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 3*b = -9, 2*b - 240 = -2*f. Let m be (-5 - 1)*(4 + 126\/(-12)). What is the greatest common factor of f and m?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -1770*r + 28331. Calculate a(16).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-32*k**2 - 3*k**2 - 21*k**2)*(-5 + 0 + 1) to the form a + o*k**2 + p*k and give o.\nAnswer: 224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2\/3)*v)**(-10\/3)\/((v*v\/(v\/(v\/(v\/(v\/(v*v\/(v\/(v**(-2\/27)*v)))))))*v)\/((v*v\/(v**(1\/4)\/v)*v)\/v)))**(-15) assuming v is positive.\nAnswer: v**(-305\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -5*f**2 - 6*f - 3. Let b(h) = -h**3 - h**2 + 1. Let z(d) = -b(d) - w(d). Let g be 6*6\/(-9)*1. Does 7 divide z(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1044 (base 5) to base 12\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 30 = -x + 161, 4*z + 2*x + 164 = 0. Let k be 13\/z + 1400\/6. Suppose 2*r = -4*h + k + 213, 5*r + 5*h = 1125. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(6\/28)*(17 + (-7176)\/420)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15694119 is divided by 9933?\nAnswer: 9912","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**4\/2 - 9*i**3\/2.\nAnswer: i**3*(i - 9)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/7*w**3 - 4*w**2 + 8\/7*w**4 + 40\/7*w - 16\/7 - 2\/7*w**5 = 0. Calculate w.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-726)\/7*(-322)\/92. What is the greatest common divisor of 66 and b?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5723 + -5723.4. Let g = -922\/7 - -132. Which is the fourth smallest value? (a) -3 (b) g (c) t (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 12 = -5*a - f, 3*a + 20 = 5*f. Suppose 7 + 80 = 2*v + 5*g, a = 5*v - 5*g - 235. What are the prime factors of v?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**33*s**38)\/(s\/s**(6\/5))**(-3\/40) assuming s is positive.\nAnswer: s**(14197\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 + (6 - (-7 - -16) - (-2 - 1))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 60 and 60372?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -103? (a) -348 (b) -4\/5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 - 5*q + 11. Let a be k(-6). Suppose a*v + 2*u + 2*u = 75, -2*v - u + 30 = 0. Solve 4*d - v = 1 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000057868069 rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/10)\/(-75 - 179920\/(-2400)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 3*r + 6. Let z = 20 + -24. Determine j(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 + 7*v**2 - 11*v + 27. Give o(-9).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.2, -1\/17, -1\/9, -196, 100 in decreasing order.\nAnswer: 100, 3, 0.2, -1\/17, -1\/9, -196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 472680 (base 12) to base 11.\nAnswer: 7121a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2*m**2 + 234743*m - 19. What is b(0)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 4) to base 3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -11 (b) -26 (c) -10 (d) -5 (e) 4 (f) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 d when two letters picked without replacement from {w: 3, z: 1, d: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 164 is divided by 62?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 896?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.394 - 7.4156. Let g = -0.0216 - r. Let y = 6 + -8. What is the third smallest value in g, 2, -0.23, y?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55442 divided by 55442.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 5*q**2 - 2*q - 1. Let v be d(2). Let y = -13 + v. Suppose 57 = y*l + 13. What is the greatest common divisor of 2 and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6*1\/4)\/(3\/(-16)). Let m be (-34)\/g - 2\/8 - -2. Suppose m*n - 738 = 3*n. What is n rounded to the nearest ten?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 54 + -52. Solve -i*m + 5 = 3*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1687413 and 168?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i, 2*n + 7*i = 4*i + 100. Let t(c) = -n + 5*c + 50. Let j(g) = g**2. Calculate t(j(m)).\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 4 + (-3 - -5 - 5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/18 and -133\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 121*c**2 - 35*c. Let f(a) = 244*a**2 - 63*a + 1. Let h(j) = 2*f(j) - 5*v(j). What is the second derivative of h(o) wrt o?\nAnswer: -234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40160, 397, -4 in increasing order.\nAnswer: -40160, -4, 397","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*b**3*j**3 - b**3*j**2 + 4589606*b**3*j - 20*b**2*j**2 - 3*b**2*j + 3*b**2 + 86*b*j**2 - 3*j**3 + 4*j**2 wrt b?\nAnswer: -42*j**3 - 6*j**2 + 27537636*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16773\/571 or -28?\nAnswer: -16773\/571","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28, 41, 50, 55?\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 81.4?\nAnswer: -244.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i + 1. Let h be 2\/(-3)*(-27)\/6. Let f(r) = 0 - 11*r - h + 5*r - 2. Let w(j) = f(j) + 5*l(j). Let u(b) = -19*b. What is u(w(x))?\nAnswer: 19*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 3:09 PM?\nAnswer: 1:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3483153?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 34302 divided by 2?\nAnswer: 17151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 3 - 2*m + m**3)*(-3*m + 0*m + 5*m).\nAnswer: 2*m**4 - 4*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 4*c**5 - 20*c**4 - 552*c**3 + 1328*c**2 + 19040*c + 28800 = 0?\nAnswer: -9, -4, -2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/17)\/(((b*b**(-1\/2))\/b)\/b))**8*((b*b**(-2))\/b**(-3))\/(b\/(b**(2\/7)*b))**(-29\/2) assuming b is positive.\nAnswer: b**(1061\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 694248573?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/4497912 and -115\/19332?\nAnswer: 13493736","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2330120 or -2330119?\nAnswer: -2330120","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of c**5\/15 + 5*c**4\/3 + 44*c**2 + 1. Factor m(k).\nAnswer: 4*k*(k + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - (24 - -3) - (1 + -3). Let r = l - -42. Suppose r*o - 23*o + 1620 = 0. List the prime factors of o.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 203 in 2\/21, 3\/5, -0.5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of 119*b**6\/15 + b**5\/10 + 331*b**4\/6 + 2*b - 120. What is the third derivative of o(d) wrt d?\nAnswer: 5712*d + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/2932 and 23\/8008?\nAnswer: 5869864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.5 and -3236853.5.\nAnswer: -3236853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (167*c + 9*c**2 - 413*c + 207*c)*(-4 + 2 - 1).\nAnswer: -27*c**2 + 117*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2329689780?\nAnswer: 2, 3, 5, 11, 23, 51157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 100*b**2 + 11. Is a(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of p**4\/3 + 11*p**3\/6 - 3*p**2\/2 + 5*p. Factor n(o).\nAnswer: (o + 3)*(4*o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5174 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-4 + (3 + sqrt(637) + -2)*3 + (2*sqrt(637) + 2)*5)**2.\nAnswer: 1638*sqrt(13) + 107729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*c - 11*c - 37 = -3*m, 0 = -3*m - 2*c + 35. Is m equal to 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = w + 8, w = r - 0*r + 4. Solve 0*z + z - w = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000198139 to 7 decimal places.\nAnswer: 0.0000198","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (z - 2 + 2)*(-5*z - 4 + 0*z + 6*z) to the form p*z + g*z**2 + h and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 17946382121 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 25, -4\/7, -5, 2, 2\/3 in descending order.\nAnswer: 25, 2, 2\/3, -4\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 21*c - 1. Let z(i) = i. Determine -u(f) + 3*z(f).\nAnswer: -18*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -282136, -563925, -845714, -1127503, -1409292, -1691081?\n\"Answer: -281789*d - 347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.540035 + -385.501765. Let r = w - -390. Round r to 3 dps.\nAnswer: -0.042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*4*sqrt(45)\/sqrt(9).\nAnswer: 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-15)\/4*(-48)\/36. Suppose -s - 5*i = 8, -3*s = -2*i - 7 - 37. Suppose -r + 4*h + s = -10, x*h = -20. Solve -2*n + r = -5*b, 2*n + 6*b - 6 = 3*b for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -1\/8, 0, -933.3?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2)*o)**(6\/7) assuming o is positive.\nAnswer: o**(-6\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 670621?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of 0*x - 4\/3*x**4 - 11\/9*x**3 - 1\/3*x**2 - 7\/15*x**5 + 9. Find z, given that j(z) = 0.\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.6, 8\/3, 2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 160*r**3 + 154*r**3 + 140*r**3 - 119*r**3.\nAnswer: 335*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4*-2*3\/(-6). Let w(f) = 4*f - 3 + 2 - f**2 + 0. Let j be w(b). Which is smaller: 0 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 369 is divided by 54?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -70*v - 67*v + 9*v**2 + 139*v + 2 to the form n + p*v**2 + f*v and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 - 9*d**2 + 21*d - 6. Let b be u(-11). Suppose 0 = -3*a + b*h - 2, 0 = -2*h + h + 4. Solve -a*q = -2*q - 16 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 126479, 126503, 126531, 126563, 126599, 126639, 126683?\n\"Answer: 2*f**2 + 18*f + 126459","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, 57, -2, 12 in ascending order.\nAnswer: -5, -2, 1, 12, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*w = 54*w. Let s = -5\/132 - 221\/264. Is w >= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 494 = -3*a, 4*a + 92 = -v + 339. Calculate the greatest common divisor of 104 and v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 + -2)*(-2)\/(-4). Let k be 3 - (24\/4 - (-366)\/6). Let b be (-12)\/k*-4*24\/(-279). Which is bigger: p or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 5*f + 25. What is the common denominator of 36 and f\/(-7) - (-11 + 14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jzfj when four letters picked without replacement from defjjzzzhhjzz?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**2 - 24*j + 20.\nAnswer: 4*(j - 5)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 PM and 11:57 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of -i**4\/18 - 352*i**3\/27 + i**2\/9 + 352*i\/9 + 6898. Factor r(k).\nAnswer: -2*(k - 1)*(k + 1)*(k + 176)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 3*t = -24625, 5*c - 3*t = 4*c + 6154. Suppose -28*d - c = 19*d. Is d smaller than -133?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 32*c + 64. Does 23 divide g(15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2231897*g**3 + 2*g**2 + 1073*g - 54 wrt g?\nAnswer: 13391382*g + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13.7 + -8.7. Let t = -23 - s. Let x = 0.9 - 0.4. Which is the nearest to 2\/7? (a) t (b) x (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65033199\/1134 - (-1)\/5*(-15)\/(-6)?\nAnswer: 57349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 29046792 and 503286?\nAnswer: 203327544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -8*l + 5. Calculate j(5).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 29554 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2599041 and -601.\nAnswer: -2599642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26886.\nAnswer: 2, 3, 4481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/1094580 and -43\/243240.\nAnswer: 2189160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -72 + 33. Let w = p + 35. Let s be 1 - (-21)\/w - -2. What is the nearest to s in 3, 4, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (2 + -4 + 3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 146838240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 12:31 PM?\nAnswer: 1:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**4 - 72*p**3 + 678*p**2 - 1840*p.\nAnswer: 2*p*(p - 23)*(p - 8)*(p - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 + 20*z**2 - 94*z + 90. Let i(w) = w**3 + 3*w**2 + 15. What is 6*i(g) - t(g)?\nAnswer: 5*g**3 - 2*g**2 + 94*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -212*p + p**3 + 5 - 4 + 210*p. Let o be h(-2). Let q(n) = 345*n**2 + 7*n + 11. Is q(o) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 549 - -265. Suppose 3*w + 491 = 2*s, -w - 4*w - s = x. Let j = 243 + w. What is the greatest common factor of j and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 173176 and 20.\nAnswer: 865880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1836256*y**3 - 54 - 1836238*y**3 + 3672493*y**3.\nAnswer: -y**3 - 54","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -9*h + 17. Let q(b) = 4*b - 8. Let m(j) = -3*a(j) - 7*q(j). What is m(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14514127 (base 8) to base 13.\nAnswer: 8c1316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**2\/4 - 1119*d\/2 - 417387\/4.\nAnswer: -3*(d + 373)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 + -5. Let c(b) = -12*b**3 + 11*b**2 + 12*b + 11. Let z(i) = i**3 - i**2 - i - 1. Calculate a*z(q) - 2*c(q).\nAnswer: 2*q**3 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, n: 1, v: 1, t: 1, r: 1, z: 2}. What is prob of sequence zrzt?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of -5*m**4\/12 - m**3\/3 - 33*m**2. Calculate k(-2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 575*r**2 - 2*r - 1. Let k be b(-1). Let i be (k\/(-8))\/((-21)\/2). Let h = i + -295\/42. Is h less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48360 divided by 39.\nAnswer: 1240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + ((7 - 13) + (0 - -1) - -10).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*((3 - 6) + 1). What is the remainder when 13 is divided by (-414)\/(-99) - m\/(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4258271 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 98269760?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 g when three letters picked without replacement from ssgwm?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of 1\/2*g**2 - 3 + 0*g. Let m(v) = -3*v. What is m(p(j))?\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2*2\/2 - -5. Suppose o*c - 42 = -3*c. Solve 0 = c*a - 3*a - 2*p - 20, 25 = 5*a - 4*p for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 7*d**2 - 5*d + 4. Give s(2).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7.4 - -5.3. Let n = 13.1 + u. Let m = n - 8. Which is the closest to -2\/3? (a) 1 (b) 0.1 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**2 + 220*z - 2856.\nAnswer: -4*(z - 34)*(z - 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1.5 (b) 0 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = k - 3*c + 10*c - 16, -4*c + 7 = k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/19 in 10, 0.5, -1\/5, -5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -4*i + 256, 2*a - 5*i + 9*i - 172 = 0. Is 11 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1471 - 151. What is the greatest common factor of 180 and h?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1851\/7 - -36467\/140. Let r = -14735\/1336 - 16\/167. Find the common denominator of r and o.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1047 - 871 + 2724 - 33*v**2 - 806.\nAnswer: -33*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 6*l = 129, -120*q + 115*q - 140 = 5*l for q.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2*w**2 - 24*w + 3095. Calculate v(-46).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 141 divide 364158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 972 divide 29237168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 420 - 417. Suppose -54 = -3*s + 9*n - 8*n, -5*s + 90 = -x*n. What is the remainder when 51 is divided by s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 5) + (7 - 3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 + 5*b - 7. Let c be s(3). Is 5\/c + -28 + 512 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15637259 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2305628.4 months to years.\nAnswer: 192135.7","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Expand (m**4 - 4*m**4 + 0*m**4)*(-1 - 5 + 4 - 1 + 5 - 2 - 1 - 4 + 3 - 1 - 2 + 5 + (-2 + 2 + 1)*(0 + 2 - 3)).\nAnswer: 3*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a week in minutes?\nAnswer: 3780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-two fifths of a litre?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of i**3\/6 + 9*i**2 + 9*i. Calculate the smallest common multiple of d(-6) and 14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 730 is divided by 23.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 - 20*w + 15. Let v be p(19). What is the remainder when (v\/5 - 0)*-155 is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = -3*l - 9, 3*l + 9 = p - 2*p for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 4*g**2 - g - 2. Let s be c(-2). Suppose s = 4*u - 0*u. Suppose -3*l + 24 = u*a, -2*l - 3*a + 40 = 3*l. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1114 - -1110. Is -85\/28 greater than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -62 + 62.2. Let w = 0.37 - 0.07. Let a = w - 0.6. What is the nearest to 0.2 in t, -2, a?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - 4 - 148 - (-3209 - -3171)?\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000199641419 rounded to 6 dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 936921223 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -8 - 0. Calculate the remainder when 35 is divided by v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 40, 1, 0, 3, -4 in ascending order.\nAnswer: -4, 0, 1, 3, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2000 (base 3) to base 14.\nAnswer: -3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 4*b, 2*c + 3*b - 20 - 2 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -129756, -259517, -389278, -519039, -648800, -778561?\nAnswer: -908322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1, -78, -323, -824, -1671?\n\"Answer: -15*f**3 + 7*f**2 + 5*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4375728 by -4341.\nAnswer: 1008","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 136.825*9\nAnswer: 1231.425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 46, -16, 0.4, -47?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-21)\/(-49) - (-129)\/(-7). Let a be (-18)\/(-8)*(-48)\/o. Is (13*5)\/(-5 + a) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(7\/4)\/h*(h\/h**34)\/h)**(-7\/8) assuming h is positive.\nAnswer: h**(931\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w**2 + 23*w**3 - 2*w**2 + w**2 + 1 - 25*w**3 + 7*w to the form s*w**3 + c*w**2 + y + z*w and give z.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 614*v**6 - 2*v**4 - 20587*v**2.\nAnswer: 73680*v**3 - 48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 + 22*r**2 - 5*r + 8. Let s(z) = z**3 + 21*z**2 - 5*z + 12. What is 3*c(o) - 2*s(o)?\nAnswer: o**3 + 24*o**2 - 5*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.1 (b) -0.0616 (c) 4\/3 (d) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 124 + -122. Suppose -10 = s*y - 14. Solve -a = -4*j + 20, -j - 2*a + 3 = -y for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2706\/5658*-16*3\/(-66).\nAnswer: 8\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 - 8. Suppose -50 = -5*k - 5*b, p*k - 34 = -k - b. Solve -k = -2*z - z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of -3*g**6\/80 - 21*g**5\/160 + g**4\/32 + 7*g**3\/16 + 3*g**2\/8 - 19*g. Solve a(b) = 0 for b.\nAnswer: -2, -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7891*t - 16310*t + 7310*t - 40579*t - 47974*t.\nAnswer: -89662*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -904 + 454. Let q = f - -816. What is the hundreds digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -667 - -1065. Is z a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/5682 and 41\/94700.\nAnswer: 284100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 + b - 2. Suppose -13*x + 11*x + 6 = 0. What is d(x)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 350*o**2 + 342*o + 56. Let m(d) = 31*d**2 + 31*d + 5. Let l(u) = 2*f(u) - 23*m(u). Determine l(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + -186b171?\nAnswer: -186b16c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 516 and 2920.\nAnswer: 376680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/5976 and -67\/158364.\nAnswer: 316728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-110)\/44*(-2 + 308\/(-10)). Suppose n*m - 36 = 73*m. Put 1, m, -3, -18 in increasing order.\nAnswer: -18, -3, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 224287880 is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 87.8 + 1.2. Let d = -88.9 + c. Is -72 <= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 528 and 1848?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7194740 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 36178082 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -n + 6300. What is n rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 - 9.5. Round o to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + 12, -a + 6 = -4*m - 229. Suppose 21*u - 25*u = 2*z - 192, -4*z = 5*u - 249. Calculate the remainder when a is divided by u.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**2 - 3*m**2 + 6*m**2)*(-m**2 + 5*m**2 - m**2)*(0*m + m + m)*(2 + 0 - 3).\nAnswer: -12*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35707655.\nAnswer: 5, 7141531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/52, 2\/15, 2\/5, 112, -60, 1 in descending order.\nAnswer: 112, 1, 2\/5, 2\/15, 1\/52, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of -21*v**2\/2 - 8*v + 5. Let u be b(-9). Suppose 4*t = u - 73. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8977.95 to the nearest 10.\nAnswer: 8980","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, r: 1, j: 3}. Give prob of picking 1 j and 1 w.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/12*560\/28. Let t = 2 + -5. Put t, q, 0 in decreasing order.\nAnswer: q, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -129, -130, -153, -204, -289, -414, -585?\n\"Answer: -c**3 - 5*c**2 + 21*c - 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0426789939 - 3.\nAnswer: -3.0426789939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 a when three letters picked without replacement from vxvavxaxaaxxx.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) -57 (c) -3 (d) -0.2 (e) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -13824 divided by -576\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-58)\/435 + (-9780004)\/(-30). What is o rounded to the nearest 10000?\nAnswer: 330000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {j: 9, h: 2, r: 6, p: 1}?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/29060293 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13525 = 323*h + 9*h + 209*h for h.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -235504 or -235502?\nAnswer: -235504","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4934 is divided by 61?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/24588 and 85\/24588?\nAnswer: 24588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -140*j**2*r**3*v**3 - 3*j**2*r**3*v - j**2*r*v**3 + 4*j**2*r + 2*j*v + 14*r**2 wrt r.\nAnswer: -840*j**2*v**3 - 18*j**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-84)*3*(-3 - -1)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = -262*n + 256*n for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 788 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 - -2) + 6*2. Suppose 0 = -4*s - 5 - v, -68 = -z + 4*s. Suppose 0*r - z = -2*r. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -3*b + 5*b - 286, -h - 5*b + 143 = 0. Let w = 35 - 118. Let m = w - -96. What is the greatest common divisor of h and m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -113*b + 111*b - 4, -5*s = 3*b - 2. Let a(c) = c - 1. Let m(t) = -t**2 - 5*t + 1. What is s*m(r) - 3*a(r)?\nAnswer: -r**2 - 8*r + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 - -1 - 16\/(112\/(-21525)). Suppose -3*g + 2313 = 2*d, 10*g - d - h = 6*g. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/(-12) - 195\/52.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 244 + -1521?\nAnswer: -1244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*u = -32*u - 368658000. What is u rounded to the nearest one hundred thousand?\nAnswer: -6800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1481.357um in kilometers?\nAnswer: 0.000001481357","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three tenths of a kilometer?\nAnswer: 30000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5560357 to the power of 1\/5, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 332, 611, 1086, 1757, 2624, 3687, 4946?\n\"Answer: 98*n**2 - 15*n + 249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x + 3. Let n(y) = 2*y - 3. Determine 6*d(g) + 5*n(g).\nAnswer: 4*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.15 - 0.05. Let g = -5 + 5.3. What is the nearest to l in g, -0.5, -1\/5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.2 + -0.48.\nAnswer: -3.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*u**2 + 0 + 0)*(-117 - 366*u + 87*u + 119) to the form y*u**3 + k*u + o + v*u**2 and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3778390 from -67681.9.\nAnswer: 3710708.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -324*h + l = -321*h + 4, 4*l = 4*h + 16 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 200*f*q*t - 41009922*f*q + 26639*q*t**2 + q*t - t**2 with respect to t.\nAnswer: 200*f*q + 53278*q*t + q - 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (-45)\/35) + (585\/35 - 4)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from baalflaaaffabbaaabab. Give prob of sequence al.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 4 - 52 - (-3 - -8) - -6 - 8.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/((u*u**(1\/2))\/u))**6\/(u**1)**43 assuming u is positive.\nAnswer: u**(-34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + 3. Let z = -1.22 - -220.22. Let u = -214 + z. Sort u, -1, g in descending order.\nAnswer: u, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -303869, -303657, -303445, -303233?\nAnswer: -303021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 6742*w**2 + 13*w**3 + 7*w**3 - 13479*w**2 - 18 + 6739*w**2 as z*w**2 + x + g*w + r*w**3 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 102*h**3 + 164 wrt h.\nAnswer: 306*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4007 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - -13031213201123?\nAnswer: 13031213201133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**2 - o**2 + 2*o**2 + (-10 + 0 - 7)*(-126 - 15*o**2 + 126).\nAnswer: 257*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 136 divide 105037016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 c when two letters picked without replacement from {b: 1, c: 1, o: 2, m: 1, x: 1, s: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of a**4\/3 + 20*a**3\/3 + 50*a**2 - 85*a - 1. Determine p so that g(p) = 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 61404, 122782, 184160, 245538, 306916?\n\"Answer: 61378*t + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 15559*l + 3 + 15543*l.\nAnswer: -16*l + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3)*2)**2 + -5 - 1*sqrt(108) - -3*(sqrt(3) + sqrt(18)\/(sqrt(6) + sqrt(216) + sqrt(6) + sqrt(6))))*4 + -2.\nAnswer: -32*sqrt(3)\/3 + 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -115 + 166. List the prime factors of y.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 46924, 186770, 419542, 745246, 1163888, 1675474?\n\"Answer: s**3 + 46457*s**2 + 468*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 13*v**3 + 3*v**2 - 3*v. Let b(u) = -64*u**3 - 16*u**2 + 16*u. Give -3*b(g) - 16*y(g).\nAnswer: -16*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.629282nm to kilometers.\nAnswer: 0.000000000000629282","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1980)\/(-308))\/((-4)\/14). Let f = -227\/10 - d. What is the closest to 2\/5 in -1\/11, -3\/2, f?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -6*k**2 - 48*k - 70. Let p be b(-5). Let x(j) = 3*j - 67. Determine x(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2*a + 6. Let l(u) = -23*u + 22. Let f(m) = -4*d(m) + l(m). Let x(w) = 5 - 5 - 2*w**2. Determine f(x(p)).\nAnswer: 30*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9874, 9861, 9842, 9817?\nAnswer: 9786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1632431518?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**2 + 45.\nAnswer: -5*(y - 3)*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - -12 - (0 - 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 73, 60, 73, 124, 225?\n\"Answer: 2*t**3 + t**2 - 30*t + 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 5, z: 3}. Give prob of sequence zzkz.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2*w - 102 + 51 + 46. Determine u(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/((v*v**1)\/v*v)))**22\/(v**(3\/4)*v*v\/(v\/(v**(1\/2)\/v*v)*v)))**(-28) assuming v is positive.\nAnswer: v**(-1197)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8781329 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 137676 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2998, -5965, -8932, -11899?\n\"Answer: -2967*g - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -1\/67 (b) -5 (c) 0.02 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -4 (b) 2\/643 (c) -0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 - r - 1. Let x(s) = 15*s**2 + 6*s + 6. Calculate -18*n(c) - 3*x(c).\nAnswer: -27*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3745 in 0.064, 4, -3, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 597*t = -5184*t - 17658 - 207801 for t.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a kilogram in milligrams?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m**2 + 1066*m + 44071. What is s(-487)?\nAnswer: -733","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (-11 - (-17 + 4))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + o + r + 36, 0 = o + 4*r. Suppose g = o - 3. Let j = g + -8. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 273, 5.5948?\nAnswer: 5.5948","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + 25 + (43 - 35) + 0 + -9?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -483 by 7.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 - 3*x - 2. Let q be f(3). Let m = 0.16 + 0.14. Which is the closest to q? (a) 1\/5 (b) m (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1630 (base 10) to base 11.\nAnswer: 1252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*x**3 - 30*x**3 + 7*x**3 - 17*x**3.\nAnswer: -36*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7886130929\/189 - 41725705. Let s = -1006\/7 - y. What is the common denominator of s and 89\/15?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 15*y. Let s(w) = -22*w + 27*w - 12*w. Give s(h(c)).\nAnswer: -105*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 + 6*i - 2. Let p be g(-7). Let z = p - 1. Let x(c) = -c**2 + 6*c - 3. Determine x(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -40639.71 to the nearest ten.\nAnswer: -40640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(128) + 0))**2.\nAnswer: 512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-149 + -2)\/(0 - -1). Let s = -150 - q. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15 - (-270)\/20)\/(6\/(-88)*-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1947.789 milligrams?\nAnswer: 1.947789","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of 107*s**2 - 2\/3*s**3 + 0 - 1\/12*s**4 + 0*s. Determine b(5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 4)*((1 - 3 + 1)*(-4 + 1 + 1) + 0 + 6 - 1)*(-7*j + j + 0*j).\nAnswer: -168*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r + 56789 - 56789.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, -124, 3.\nAnswer: -124, -2, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 204 divide 11016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -69 + a - 13*a**4 + 14*a**4 + 66 + a + 16*a**2 as x*a**4 + f + d*a**3 + j*a + v*a**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41, 46, 51, 56, 61, 66?\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3, 7, -0.07, 2\/15?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-238 + 2*d - 29 + 34)*((13*d + 2*d**2 - 13*d)*(4 - 1 - 5) + 0*d**2 - d**2 + 3*d**2) to k + c*d**2 + b*d**3 + u*d and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7727.\nAnswer: 7727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 6*j**3 + 7*j**2 + 5*j - 3. Let i(l) = -5*l**3 + 194*l - 6*l**2 + 2 - 198*l + 0*l**2. Calculate 5*i(n) + 4*o(n).\nAnswer: -n**3 - 2*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -128*i - 642*i**2 + 150*i**2 + 187*i**2 - 1 + 160*i**2 + 152*i**2.\nAnswer: 7*i**2 - 128*i - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(175) + 1 + (1*sqrt(7))**2 + 2 - (-2*sqrt(567))**2*4.\nAnswer: -9062 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 + 6*z**2 - 6. Suppose -2*y + 8 = 2. Suppose -i - y*n - 9 = 0, 0 = n + 3*n + 20. Give m(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y = -y. Suppose -2*u + 4*u - 20 = y. Calculate the least common multiple of 6 and u.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5905119 is divided by 948?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1016)\/144 - -7) + 6\/27?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -7 - -13 - 13\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 958273 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 65784*q**3 - 555602*q wrt q?\nAnswer: 394704*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1514291 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 20 = -8*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 168416773 is divided by 2385?\nAnswer: 2383","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/7 + 179332*t\/7 - 179334\/7.\nAnswer: 2*(t - 1)*(t + 89667)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -7045, -14080, -21115?\n\"Answer: -7035*z - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 + 6*d**2 - 6*d + 6. Let j be q(5). Let y(x) = -13*x**2 - 3*x + 2. Let p(u) = u**2 + u - 1. Let g(n) = 2*p(n) + y(n). Calculate g(j).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mddnd. Give prob of picking 2 d.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.5 - 1.5. Suppose 2*v + 5*t + 4 = 5*v, -13 = -5*v + 2*t. What is the nearest to 0.1 in i, -4, v?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -534, -540, -548, -558, -570, -584, -600?\nAnswer: -618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6.916 - 4.916. Which is the third smallest value? (a) m (b) 21 (c) -43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 6 = -4*q, 2*g - 6 = 4*q - 0. Is (97\/g)\/((-1)\/(-3)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -m**3\/3 - 5*m**2\/3 + 32*m\/3 - 12 = 0?\nAnswer: -9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = 2*a + 1 - 3, 3*x = a - 13 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 1807*h**2. Let g(b) = -2*b + 30. Let l(c) = -9*c + 140. Let v(n) = -14*g(n) + 3*l(n). Determine x(v(a)).\nAnswer: 1807*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 546886 divided by -97?\nAnswer: -5638","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -503, -33, 3 in descending order.\nAnswer: 3, -33, -503","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 120259 = 47381. Suppose -x + 2*f = w + 38885, 5*x = 3*f - 403968. Let y = x - 37207. Round y to the nearest ten thousand.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 14) to base 5\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 52907?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2528.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -9*r**2 - 120*r + 46698. Calculate o(-79).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (((-147)\/(-70))\/(2\/(-5)))\/((-21)\/84)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.3 + 0.4. Let z = 0.7 + s. Let p = z - 1.5. What is the third biggest value in -5, p, 0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 - 14166\nAnswer: -14182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -261 - -263. Suppose 44 = 4*w + u*k - 0*k, 0 = w + k - 11. What is the greatest common divisor of 132 and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4201313 + -2?\nAnswer: -4201320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 - -7 - (-7 + 6 + 3 - -7).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 - 6*b**2 + 2*b + 3. Let p(u) = u**3 + 7*u**2 - 2*u - 4. Let i(a) = -6*j(a) - 5*p(a). Determine i(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*f**3 - 7*f**3 + 0*f**3 + (0 - 2*f**2 + 0)*(-f + f + f) + 4*f - 4*f + f**3 + (1 - 1 - 2*f**2)*(0*f + f - 3*f) - f**2 + 3*f**3 + f**2.\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 s when two letters picked without replacement from {s: 1, o: 2, i: 1, u: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2*p**3 - 9*p**2 + 3*p - 3. Let o be m(-5). Solve -q = -0*x - 2*x - o, 0 = -5*x - 4*q - 37 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 74\/5 of a centimeter?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-5))\/((-45)\/150)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 10 = -4*m, -35*d - 13 = -5*m - 37*d for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -5*q**2 - 2142*q + 1073*q + 1064*q + 1. Let g be y(-1). Solve 14 = 5*f - g for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24505890, -24505896, -24505904, -24505914, -24505926?\nAnswer: -24505940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19 - -24. Suppose -4 = -2*m + 6*m + 4*v, 0 = -5*m - v - 1. Suppose -2*x = t - 74, -t + 6*t - b*x - 415 = m. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -25*l**4\/2 - 205*l**3\/2 - 12*l**2 + 62*l - 16 = 0. What is l?\nAnswer: -8, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 8734, 17459, 26174, 34873, 43550, 52199, 60814?\n\"Answer: -b**3 + b**2 + 8729*b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2\/3)*x*x)**(26\/9))**43 assuming x is positive.\nAnswer: x**(4472\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-7)*o**(3\/2)*o)**(-27))**3 assuming o is positive.\nAnswer: o**(729\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 7*a**3 - 5*a**2 - a. Let b(u) = u**3 - u**2. Give 5*b(x) - v(x).\nAnswer: -2*x**3 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1348349*r**4 - 65808*r**2 - 2 wrt r?\nAnswer: -32360376*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.741270867 rounded to 1 dp?\nAnswer: -11.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 <= 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 140358 (b) 1\/3 (c) -5 (d) -2\/55\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - -5) + (-5 - -1) + (-12 - 5)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.41 minus -329.1?\nAnswer: 329.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*t - 53*t + 14*t)*(2 + 0 - 1)*(7*t + 15*t - 7*t).\nAnswer: -345*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + o - o**2 + 20 + 2411*o**4 - o**3 - 4848*o**4 + 2429*o**4 as l*o**2 + m*o**3 + w*o**4 + t*o + v and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 138868927 a multiple of 909?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 185967 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-3)\/6*(-2)\/(-4)*44?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2070599 is divided by 295797.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 2 - 2*c + 9*c**2 - 10*c**2 + 1 - c**2 - 1 + (-c + 4*c - c)*(6*c + 4 - 4).\nAnswer: 10*c**2 - 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4 + (6\/2 - -2). Let f be 0*(-2)\/2*s. Let b be 4 + f + -8 + 5800004. Round b to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/7, 11, 0.4, -0.027?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-54) - (-160)\/18. Let t be 1*(-15)\/(-1)*(-3)\/h. Sort t, 2, 14, 7 in decreasing order.\nAnswer: 14, 7, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of 3*t**5\/5 - 120*t**4 - 877*t**2 - 3661. Find the second derivative of k(g) wrt g.\nAnswer: 36*g**2 - 2880*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -18*d**2 - 8*d - 5. Let o(p) = -17*p**2 - 8*p - 4. Let n(y) = 2*g(y) - 3*o(y). What is the second derivative of n(q) wrt q?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 1240 - 248 = 0. Let i = -245 + z. Solve 2*b - b + 4 = 0, 3*p - i*b = -3 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 729.7205cm in millimeters?\nAnswer: 7297.205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 217 - 217 - 6*s**2. Let n(x) = x. Determine n(h(i)).\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 - 57 = -13*m. Suppose m*p = -2*p + 3*p. Solve p = 3*y + q - 3*q, q = -3*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 740 divided by 370\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4 - -3 - 4\/(-4). Let p = 4 + -4.2. Which is the second biggest value? (a) 5 (b) i (c) -3 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 11 + (1 + 4 - 4)*(0 + 5 - 2))*(-2*l + l + 6*l).\nAnswer: -40*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -159.1 times 9038?\nAnswer: -1437945.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -82 + 244\/3. Let j be -1 + 15*(-2)\/(-54). What is the closest to j in 5, q, -4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-56)*1240\/(-372)*(-2)\/5?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 - 5*c**2 + 7. Let p be 6\/4*30\/9. Suppose 0 = p*v + 61 - 36. What is k(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 287078*c**4 - 1811592.\nAnswer: 1148312*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41106, 0, 1, -4 in decreasing order.\nAnswer: 41106, 1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 62264084 and 6228.\nAnswer: 692","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 20*j = 34. Suppose j*o = u + 37 + 31, -3*o = 12. What is u rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*n**3 + 0*n**3 + 4*n**3)*((-38 + 35 - 27)*(4*n - 3*n - 3*n) - 4*n + 3*n + 0*n) to y*n**3 + t*n**4 + d + p*n**2 + a*n and give t.\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 325 - 199. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k**2 + 99*k**4 + 0 - 9 + 619*k**4 + 7 to the form y*k + c*k**3 + g*k**2 + j + m*k**4 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 2, 294, 2353 in increasing order.\nAnswer: 2, 11, 294, 2353","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24 + -59. Let x = -54 - p. Do x and -1\/4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*4*3*1*((sqrt(1872) + sqrt(1872) + -2)*-5 - 3*sqrt(1872)*-4).\nAnswer: 360 + 864*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 7:03 AM?\nAnswer: 9:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(3\/4)\/(x\/x**(-7)))\/(x**(1\/4)*x\/x**3*x) assuming x is positive.\nAnswer: x**(-13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 60*i**2 + 0*i + 14*i**3 - 2\/3*i**4.\nAnswer: -2*i**2*(i - 15)*(i - 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 242, -45, -19, -5 in decreasing order.\nAnswer: 242, 2, -5, -19, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -21, -19, -17, -21, -37, -71, -129?\nAnswer: -217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 3*j**2 + 1 - 3*j**2 + 4 - 4 + (j + 4*j + 0*j)*(55*j + 59*j - 112*j).\nAnswer: 10*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 306\/(((-4)\/(-91))\/(1455\/105 - 13))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9)\/15 + 46\/10. Let q = v - 2. Suppose a - 55 = -3*x, q*x + 41 = 4*a - 109. What is the remainder when a is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -1084.\nAnswer: 1\/271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of 1051*s**7\/21 - 5*s**3\/3 + 31*s**2\/2 - 2230*s. Find the second derivative of a(m) wrt m.\nAnswer: 42040*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -4*t - 19. Let n(v) = -23*v - 115. Calculate -34*i(h) + 6*n(h).\nAnswer: -2*h - 44","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4 + 178\/(-4))*2\/(-5 + 6). Suppose 3*q - 288 = 4*o, -5*q + 96 = -4*q - 5*o. Let z = q + l. Are -1 and z nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -164 + 169. What is the smallest common multiple of (-1)\/(-1) + 10\/2 and x?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/432 and 107\/72?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - (-27 - -4 - -26)) + (0 - -38) + 1?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -88377*g**3 - 267*g + 26.\nAnswer: -530262*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.9429 + 0.0571. What is the nearest to -5 in x, 2, 5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8712548449 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 250108 divided by -74?\nAnswer: -125054\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 3)*(-22*l + 142 - 142).\nAnswer: -22*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 - 7*o + 15*o - 9*o**2 + 7*o - 4 + 3*o**3. What are the prime factors of y(4)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 0*u + 2*u - 199, -2*u = 10. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 102 and 3858405.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20910*z = 10384*z + 10385*z - 5499 for z.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + 22 + 1\/(-4)*4. Find the common denominator of 16*(-6)\/((-1188)\/h) and 97\/2.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 62240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 14*n**2 - 41*n + 41. Let v(o) = -o**2 + 2*o. Let t(h) = -k(h) - 13*v(h). Give t(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 528\/647 or 2?\nAnswer: 528\/647","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 465 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-69136)\/(-4172)*14\/(-4)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 4*x**5\/3 + 12*x**4 + 76*x**3\/3 + 4*x**2 - 80*x\/3 - 16 = 0.\nAnswer: -6, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 - 1 - 86\/(-10). Let o = 1019\/90 - w. What is the common denominator of o and (16\/40)\/(-2) + (-521)\/(-80)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*p - 3224 = -6*p. Suppose 2*f = -2*w + 252, -6*f - p = -w - 8*f. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 191, -0.5, 4.\nAnswer: -0.5, -0.4, 4, 191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 256.7628 centuries to months.\nAnswer: 308115.36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 2*c + 12, 3*u - 7*u = c. Let t = 46.97 + -47. What is the nearest to 2\/5 in c, 3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/40? (a) -4 (b) 1 (c) 2\/7 (d) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1780.042 millimeters to kilometers.\nAnswer: 0.001780042","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 4:34 PM?\nAnswer: 6:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3399585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.8 (b) -3\/8 (c) -2\/3 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2*(-4)\/2*1)\/(2\/22325000). What is j rounded to the nearest 1000000?\nAnswer: -45000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -6*j + 1. Suppose -j*q + r + 1077 = 0, 5*q - 6*r - 1341 = -3*r. Does 45 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -65*m**2 + 8*m - 9. Let x(v) = -48*v**2 + 7*v - 8. Let w(t) = -9*x(t) + 8*z(t). Let f(y) = -29*y. Calculate f(w(l)).\nAnswer: 2552*l**2 - 29*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 AM and 12:12 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -249 or -227?\nAnswer: -249","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 225*n**2 - 1196*n + 3585. What is g(3)?\nAnswer: 2022","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -70058, -70095, -70134, -70175, -70218, -70263?\nAnswer: -70310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -5696*q - 1030961. What is x(-181)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3275715 (base 8) to base 2.\nAnswer: 11010111101111001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 444*y - 4352. Calculate u(10).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3901848?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 4 = -0*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 323 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (10 + -4)\/(2*1). Let n(t) = 3*t**3 - t - 2*t**h - 6*t - 9*t**2 - 3. Does 13 divide n(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-19)\/2)\/((-6)\/12) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w - 4. What is u(10)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 13\/4 of a micrometer?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, -5, 2\/5, -0.075.\nAnswer: -5, -2\/5, -0.075, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93 = -62*i + 155. Solve 9 = 4*y + 3*z - 14, i = 4*z for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) 4 (c) 21601\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 648*-58429.\nAnswer: -37861992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002234494 rounded to 5 decimal places?\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-684*2)*144\/32?\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of -k**4\/24 - k**3\/3 - k**2. Let v(d) = -d**2 - d + 17. Let b be v(-4). Calculate n(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuuu when four letters picked without replacement from {k: 4, d: 10, u: 5}.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaaaakkkaaaakakkka. Give prob of picking 3 k.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v**3 - v**3 + 362*v**2 + 337*v**2 + 0*v**3.\nAnswer: -3*v**3 + 699*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 42 - 46.2. Let s = 6.2 + n. Sort -2\/5, 3, -4, s in decreasing order.\nAnswer: 3, s, -2\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 1710 = -2*u, 0 = u + 7*f - 8*f - 849. Suppose -5956 + u = -19*b. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 2*x - 18, 0*t = t + 3*x - 21. Suppose -t = -z - 2. Let w = z + -4. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1617 to the power of 1\/2, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.07 * 10.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of 2131*j**8\/336 - 49*j**5\/30 - 194*j**2. What is the third derivative of n(c) wrt c?\nAnswer: 127860*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/((b\/(b*b**(-6)))\/b))**(-12)*(b**(-12))**(-1\/13) assuming b is positive.\nAnswer: b**(636\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 9:42 AM?\nAnswer: 8:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7892963079.\nAnswer: 3, 2630987693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 20690 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19 + 35\/2. Sort -4, t, -1 in ascending order.\nAnswer: -4, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 + (-374)\/(-2) - 1) + -2. Let p = l + -119. Suppose -s + 172 = p. List the prime factors of s.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - 0)\/(-1) - -12. Let d be 26*((-3)\/2)\/(-3). Let a = d + -7. Calculate the greatest common divisor of a and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -6*r**3 - 2*r**2 - 2*r. Let a(t) = 30*t**3 + 10*t**2 + 11*t + 1. Suppose -212 = 10*u - 192. Give u*a(f) - 11*z(f).\nAnswer: 6*f**3 + 2*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -3*p - 4, -16 = -6*n + 2*n + 4*p. Let r(q) = -5*q + 23. Let k be r(5). Calculate the least common multiple of n and (2 + (-1 - k))*6.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1755*-0.1.\nAnswer: 175.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 1:25 AM?\nAnswer: 1:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 34 = 5*l + 4, 5*b + 25 = 0. Let r = 586 - 474. Suppose 2*g - r = -5*d, l*g = -4*d + 48 + 200. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 134*j = -485, -61*b = -64*b - 2*j - 43 for b.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 + 3*n + n - 5*n - 12*n**3. Let v = 374 - 373. Calculate t(v).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-0.04.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 832460 to the power of 1\/3, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 PM and 8:27 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(171) + (sqrt(171) + 1 + sqrt(171))*2) + sqrt(171) + (-2*(-1 + sqrt(171)) - sqrt(171)) + -3 + 4)**2.\nAnswer: 1188*sqrt(19) + 55525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 3562361?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2\/(-1))\/(-2))\/(10\/(-4))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(3*sqrt(117)*-2*-4 + 6*(-4*(3 + sqrt(117)) + sqrt(117)))*4)**2.\nAnswer: -165888*sqrt(13) + 601344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 25906.\nAnswer: 2\/12953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (21 - (9 - -23)) + -10 + 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 390953 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1361 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 - -7. What is the nearest to 3 in -3\/5, v, -0.2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/4 or 185869?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -65 in 1, 8, 0, -5, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -125 + (113 - -63) - (-4 - -1).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (62 - (-26 + 18 + 21) - -6) + 19.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, -3, -12859 in decreasing order.\nAnswer: 28, -3, -12859","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -131798, -130828, -129858?\nAnswer: -128888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*z**3 - 36 - 15*z**3 + 64*z**3 - 11*z**3 - 6*z**2 + 5*z**2 in the form s*z**3 + u*z**2 + c*z + y and give s.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (j - j - 2*j)*(4*j**2 - 2*j**3 - 4*j**2) + j**4 + 6*j**4 - 3*j**4 + 67*j**4 + 194*j**3 - 194*j**3 to c*j + k*j**2 + u*j**3 + y*j**4 + n and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -344*h**3 - 16*h**2 - 16*h - 20. Is r(-4) a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.08 (b) 3 (c) -5 (d) -3 (e) -3\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 + 2 - -1) + (4 - 2).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 0 - 1\/3*j**2 - j**4 + 0*j + 1\/3*j**5 + j**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8554*m**3 - 3*m**2 + 3*m**2.\nAnswer: -8554*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 x when four letters picked without replacement from xaxaaxxaaxaxa.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1484*o**2 - 3352 + 3352 + 242*o**2)*(5 + 4 - 5 + o**3).\nAnswer: -1242*o**5 - 4968*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*q**5 - 67*q**4*y**2 + q - 49*y**2 wrt q.\nAnswer: 60*q**3 - 804*q**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/((-2)\/((-66)\/(-3))). Let k = 1.368 - 1.868. Put k, -2, i in decreasing order.\nAnswer: i, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 1\/(-3)*-6\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -437.34 + 2270.44. Round y to the nearest 100.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97.125ml in litres?\nAnswer: 0.097125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 519670.76 rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 7, i: 1, c: 1, d: 7, u: 1}. What is prob of sequence jduc?\nAnswer: 7\/8160","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*o + 31*o - 43 = -2*u, o + 73 = 2*u. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -13*q + 19*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -20, -1\/4, 1\/9?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 4 (c) 554\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 0*k - 9 + k + k + 3. Let x be p(6). Factor -10*z**4 + 2*z**2 + 2*z**3 + 0*z**2 + x*z**5 + 0*z**2.\nAnswer: 2*z**2*(z - 1)**2*(3*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6.41155+10916\nAnswer: 10922.41155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 AM and 10:37 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 19774 <= -1.96?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = p + 21, -33643*f = p - 33644*f + 24 for p.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1390394?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 a when three letters picked without replacement from {z: 2, a: 10}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.423 + 3.06. What is j rounded to two decimal places?\nAnswer: -0.36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4591 + -4595. Let x(q) = -4*q + 36. Let d(z) = 4*z - 35. Let m(u) = -3*d(u) - 2*x(u). Is m(n) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -285 - -599. What are the prime factors of f?\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d**2 - 3*d**2 + 5*d**2 + 3*d**2.\nAnswer: 7*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001010000101 - 10110?\nAnswer: -1001010011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4449813 is divided by 486.\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 + 8*s + 4. Let y be i(5). Let b = 21 - y. Solve -8 = -5*x + b for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*x - 4*x - 19*x + 2 + 15*x - 2.\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -657*k**2. Let g(f) = -2*f**2. Calculate -219*g(j) + x(j).\nAnswer: -219*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 at most 138\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102202010102 (base 3) to base 5.\nAnswer: -24344220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 67, 7, -3\/7 in increasing order.\nAnswer: -3\/7, -0.4, 7, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2100?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 + 75753*v**2 - 23170*v**2 + 27198*v**2.\nAnswer: 79781*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1022, -1020, -1018, -1016?\n\"Answer: 2*g - 1024","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 - 7*m**2 - 7*m - 3. Determine z(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 341668*n**2 - 10*n + 12. Let h be x(6). What is h rounded to the nearest one million?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.253948 millilitres to litres.\nAnswer: 0.004253948","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -832*t - 871*t + 235 = -1590*t + 4077 for t.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1199 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 49404, 49407, 49410?\nAnswer: 49413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 42*q + 44*q = 25, 4*k - 3*q - 45 = 0. What is the closest to -1\/2 in -3.2, k, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2201104 (base 6) to base 12\nAnswer: -53194","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(1\/6)\/x)\/x)\/x**1)\/(x\/(x*x**(-5\/4)))**(-4\/39) assuming x is positive.\nAnswer: x**(-211\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, -15, -32, -57, -90, -131?\nAnswer: -180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*v**3 - 206*v**2 - 198*v**2 + 634*v**2 - 230*v**2.\nAnswer: -33*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -749*p**2 - 19*p + 21. Let c be v(1). Which is bigger: -2\/17 or c?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 124.96686 months to millennia.\nAnswer: 0.010413905","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) -6 (c) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(2\/5)\/r**(1\/4))\/(r\/(r*r**(1\/2)))**(-37))**(-7\/3))**(-43) assuming r is positive.\nAnswer: r**(-110467\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.6 - -0.1. Let h = -4.3 + -0.2. Let x = j - h. Sort x, -1, -2 in increasing order.\nAnswer: -2, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - (3 + -13) - -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 127.2073 litres in millilitres?\nAnswer: 127207.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -61.9401 + -0.0599. Which is the closest to 1? (a) -3\/8 (b) -2\/3 (c) 0.4 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -3. Let w be (-5)\/(-2)*b\/1. Let d(t) = 5*t**2 - 6*t + 1. Let v be d(w). Calculate the highest common factor of 12 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/5 of a millennium in years?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1254094 take away 0.8795915?\nAnswer: -1254094.8795915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -35132382 divided by 35132382\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 66203\/20 + -3304. Find the common denominator of -47\/10 and q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -44 + 4. Let d = 248 + -243. Suppose 0 = d*r - 12*r + 259. What is the remainder when r is divided by w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/24)\/((-5)\/((-600)\/8))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 4*d = 3*y + 20, -3*y - 33 = -3*d. Let w = y - -23. What is the remainder when 26 is divided by w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -258*g**3*o*t**3 + 105*g**3*o - 3*g**3*t**2 + 26*g**2*o*t**3 - 6*g**2*t**3 + 40*g*t**3 wrt g.\nAnswer: -1548*o*t**3 + 630*o - 18*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -58 (b) 0.13 (c) 1 (d) -7 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6261 and 75?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -25*l + 35. Let k be x(2). Let m be 1\/(3 + (-15)\/6). Which is the third biggest value? (a) k (b) m (c) 5 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of -x**7\/30 + 3*x**6\/50 - x**5\/50 + 10*x. Let m(j) = 0. Calculate j.\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*x**3 + 3*x**3 + 3*x**5 + (-x**4 - x**4 + 3*x**4)*(-5*x - 10 + 10).\nAnswer: -2*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -105005354 (base 7) to base 5.\nAnswer: -3111324242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20 - 19.4. Which is the nearest to n? (a) 2 (b) 1\/4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 204*j + 213*j - 387*j = 60 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/15 and 67\/84.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 6*x - 60 = 0. Suppose 0 = 2*f + f - 4*y - 20, -5*y = -5*f + 40. What is the highest common factor of f and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a century in years?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -259797 or -259788?\nAnswer: -259797","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -73 + 206. List the prime factors of n.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 60 - 51. Suppose 10*j = r*j + 4. Solve -3 - 5*u + 4*u**j + 13 + 5*u**3 + u**3 - u - 14*u**2 = 0 for u.\nAnswer: -5\/2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.633, -0.1, 3, -2\/3, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1599*p**2 + 3178*p**2 - 1581*p**2.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.731*-296530.\nAnswer: -216763.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.237 and -0.13.\nAnswer: -0.03081","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*k**5 + 2824*k**4 + 87416*k**3 + 772976*k**2 + 1294980*k + 606600 = 0. Calculate k.\nAnswer: -674, -15, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19*h**3*o - 3*h**2*o - 180*h*o wrt h?\nAnswer: 114*h*o - 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.7 - -10.4. Round a to 0 decimal places.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 - 31*a**2 - 2*a + 32. Let m be j(31). What is the common denominator of 4\/263 and (-2)\/m - 3757\/(-195)?\nAnswer: 789","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 0*i - 6, b - 14 = -2*i. Suppose -3*j = -2*r - b - 14, 5*j + 3*r - 40 = 0. What is the highest common factor of j and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(2 - 0)*6. Let l = 6 + -4. Suppose u = l*q - 4. Which is smaller: 1 or q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 28\/50595 and -103\/33730?\nAnswer: 101190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 458 - 446. Let n be (-1)\/(-2 + (-501)\/(-252)). Calculate the greatest common factor of i and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 608, 705, 814, 935, 1068, 1213?\nAnswer: 1370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -71 - 3\/(9\/(-6)). Let f = i - -75. Suppose 13*p - f*p = 14. Solve -p*d + 0*d = 6 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 232889140 to the nearest integer?\nAnswer: 615","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 26 + (-200 - -188).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13176 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4682*t**2 + 1090*t**2 - 5253*t**2 + 359*t**2 + 1 - 3.\nAnswer: -8486*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 + 1. Let y(h) = h**3 - h**2 + 4*h - 4. Let j(v) = a(v) + y(v). Let c(z) = z**3 - 7*z**2 - 19*z + 11. Let r be c(9). Does 17 divide j(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 48799, 48792, 48783, 48766, 48735?\n\"Answer: -v**3 + 5*v**2 - 15*v + 48810","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44325?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -0.2, 8, 35, 5\/9, -0.4 in increasing order.\nAnswer: -0.4, -0.2, 0.5, 5\/9, 8, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3231.7 + -3384. Let j = -155 - k. What is j rounded to zero decimal places?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14335690 and 2280?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9752a1 (base 13) to base 5.\nAnswer: 1402144033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-6)*48\/1320*253?\nAnswer: 23\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 120353810, 120353816, 120353824, 120353834, 120353846, 120353860, 120353876?\n\"Answer: m**2 + 3*m + 120353806","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-3 - -2) - (-1 + -3 + -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 7.3 (b) 1\/4 (c) 2\/377 (d) 1.7 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-12))\/((-24)\/216)*(-190)\/(-19)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 5*h - 47 = 0, -5*f + 4*h - 179 - 35 = 0. Let s = f - -81. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 13\/8 of a gram?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 202 a factor of 5318284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -u**4 - 17*u**3 - 75*u**2 - 103*u - 44 = 0?\nAnswer: -11, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(7)*1 + sqrt(112) + 1 + sqrt(7))**2*-1.\nAnswer: -8 - 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 12 = 0, -3*x + 4*x - 2*p = -5. Solve x*q + 1 = 4*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1701 - 30499\/18. Let z = 241303 + -39091237\/162. What is the common denominator of z and g?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of 0 + 0*m**2 + 0*m**3 + 3*m - 1\/12*m**4. Let h(t) be the second derivative of t**4\/6 - t. Calculate h(g(w)).\nAnswer: 2*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3077?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 20\/14*(-672)\/(-240). Solve y*s = -4 - 12 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - 1. Suppose -c*l + 6 = l. Suppose 0 = l*d + 8422 + 5778. Round d to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a kilometer in millimeters?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, -665, -37, 3, -5, -3 in decreasing order.\nAnswer: 3, -1, -3, -4, -5, -37, -665","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/7 + 1502*l + 31560\/7.\nAnswer: -2*(l - 5260)*(l + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7630*y**5 - 5770*y**2 + 21606*y + 778 wrt y?\nAnswer: 152600*y**3 - 11540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.9 - -0.6. Let w = -446 + 446. Which is the nearest to 0.1? (a) u (b) -14\/3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9181801.7 plus -0.5?\nAnswer: -9181802.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yhhh when four letters picked without replacement from xhvxahyhaa.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(((sqrt(28)\/sqrt(4) + -1 + -2*sqrt(7) + -1)*-3 + (1*(sqrt(7) + 2) - (-4 + sqrt(28)\/sqrt(4))))**2 + 0).\nAnswer: -414 - 144*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6cac190 - 2?\nAnswer: -6cac192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, 35, 131, 319, 629?\nAnswer: 1091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2635*-0.293.\nAnswer: -772.055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 38*v + 230. Let u be p(-6). Find the first derivative of u*m + 0 + 37*m - 6 + 55 + 13*m wrt m.\nAnswer: 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 + 20*x + 91. Let r = -200 - -193. Let t be c(r). Solve -6*i + 12*i = t for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(140)\/sqrt(4))\/sqrt(5) + (-1 + sqrt(252))**2 - 2*(sqrt(7) + (sqrt(700) + (sqrt(700) - -2*sqrt(700)) - sqrt(700))**2).\nAnswer: -12347 - 13*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -31760 (base 8) in base 6?\nAnswer: -141320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -305643, 2\/7, 0.013, -7\/2?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(11))*-2 - (sqrt(11) - (-5 + 2*sqrt(11))))**2 + -2 + (sqrt(176) + -1)**2 + 1.\nAnswer: 6*sqrt(11) + 236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 81 - (-130 - (-97 - 4))?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8370 and 124?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (2\/4)\/((-267)\/178)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18.24018205 - 18.24. Round x to 6 dps.\nAnswer: 0.000182","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2)\/f)**(3\/34)\/(f*(f*f**(3\/7))\/f*f*f*f\/((f\/(f*f**(1\/4)\/f*f)*f)\/f)) assuming f is positive.\nAnswer: f**(-2353\/476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1037787136?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.2485307 rounded to 4 decimal places?\nAnswer: -3.2485","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*s - 9*s + 48*s + 261 - 15*s to the form h*s + w and give h.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 22 (b) 12 (c) 1\/6 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 plus 19106898.2843?\nAnswer: 19106895.2843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 778 a factor of 6662014?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t - 235 = -195. Let s be t*(-3)\/(-72)*18. Solve -2*c = -c - s*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1065418 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 14 (b) 1\/12 (c) -1\/7 (d) 0 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, -113, -2 in decreasing order.\nAnswer: -2, -15, -113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + -4 - (15 + -39)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24392720 divided by -304909.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -23*h**2 + 20350*h + 4430. What is z(885)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -e887 (base 15) to base 16.\nAnswer: -c019","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -15a493 (base 12) in base 6?\nAnswer: -11535103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, 5, 2, 51, 4 in descending order.\nAnswer: 51, 17, 5, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 21*o**3 - 3899101*o**2 - 5941556*o + 3713460 = 0.\nAnswer: -2, 10\/21, 185673","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (-100 + 3)*(-16)\/(14\/7) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 + 15. Let b(s) = -o*s**3 + 2 + 4*s**2 + 30*s - 24*s - 3 + s**3. Determine b(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 279259 - 3?\nAnswer: 279256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -127492429*h**5 - 111622882*h**2 wrt h.\nAnswer: -7649545740*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50629 is divided by 58.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1485 and 99?\nAnswer: 1485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 PM and 7:25 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s*s*s*(s\/(s\/s**(1\/14))*s)\/s*s*s*s*s**(-3\/14) assuming s is positive.\nAnswer: s**(48\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 397*w - 4741 = 221*w - 255*w for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - 10 - (-13 - -9 - 0) - (-5 - -17)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 3\/8, -101\/5 in increasing order.\nAnswer: -101\/5, -4, -3, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -54973 plus -0.05696615943?\nAnswer: -54973.05696615943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -161080*x**5 + 1681125*x**2 wrt x.\nAnswer: -9664800*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*l - 4*y + 282 = 0, 5*y - 5*y + 2*y = -y - 9 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -16*f + 1. Suppose -s - 88 = -5*a, -3*s + 4*s + 3 = 0. Calculate the remainder when o(-3) is divided by a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5a6b + -5?\nAnswer: -5a70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 806506 is divided by 1829?\nAnswer: 1746","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d**0\/d)*d**(-5))\/(d**(-2\/3)*d*d\/d**(-1)))**0 assuming d is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -932234\/17 smaller than -54838?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 2*p - 55. What is the tens digit of (p\/(-2))\/(-5)*-6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 127776604.\nAnswer: 2, 31944151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 196*k - 6*k - 3 + 1 + 63*k + 4. Let r(j) = -j. What is r(f(t))?\nAnswer: -253*t - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -584*o + 252*o - 20636 = 606*o for o.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 - 4*s**2 - 5*s - 5. Let f(i) = -i**3 + 7*i**2 - 6*i - 4. Let v be f(6). Calculate n(v).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -113 + 2375\/21. Sort 0.3, -1\/5, w, 0.2 in descending order.\nAnswer: 0.3, 0.2, w, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -16165*p + 5. Let q be a(-5). Let t be (581950\/15)\/(1\/9). Let d = q + t. What is d rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2062709?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -5*w**2 + 3*w - 6. Let s(f) = 17*f + 11*f**2 + 19*f + 13 - 43*f. Give 9*r(l) + 4*s(l).\nAnswer: -l**2 - l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6*(-4)\/(-84))\/((-1)\/(-7)). Suppose -5*o + 17 = -3*q - q, -q + l = 0. Solve o*x - 5 = 5*y - 15, -5*y = 2*x - 24 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2\/(-4) + 14705\/34?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2\/9 (b) 0.3 (c) -5\/2462 (d) 1\/9 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 132 divide 269676?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 + 6*w**2 + 2*w - 9. Calculate t(5).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2\/23)\/w*w*w)\/w*w*w**(-5))\/(w\/(w\/w**(-2)))**45*(w**(1\/4)\/w)**(-2\/5)\/(w*w**4*w**(-3)) assuming w is positive.\nAnswer: w**(19369\/230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.661289 rounded to 2 decimal places?\nAnswer: -5.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1806173*c**5 + 6395*c**2 - 112?\nAnswer: 108370380*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1584*z - 1528*z + 2*i - 32, -5*i + 80 = z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o + 23. Let v be (-40)\/(-3) + (-6)\/(-9). Suppose -2*p + v = -8. What are the prime factors of t(p)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -41*a**4*r + 39841*a**3*i*r - 1754*a**2*i*r + a**2*r - 1377*i wrt a?\nAnswer: -984*a*r + 239046*i*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/6 and 3\/(-10)*(-15)\/(-4).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 28*q**2 - 383*q**3 + 28*q**2.\nAnswer: -383*q**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22897\/884 or -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a decade in years?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w + 3 - 3)*(1 - 92 - 26)*(-2*w**2 - 2*w**2 + 5*w**2) + 2*w**3 - 4*w**3 + 0*w**3 + (3*w - 2*w - 2*w)*(-2*w**2 - 3*w**2 + 4*w**2).\nAnswer: -235*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 3*t + 4, 0*t + 4*t - 6 = -m. Let a = 7 + m. Suppose -36 = -a*q + 2*q. What is the lowest common multiple of q and 26?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 227187.7kg?\nAnswer: 227.1877","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -90084363*c**2 + 140947388*c wrt c?\nAnswer: -180168726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-231)\/6*356\/1246\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -144 + 148. Suppose 4*x + 0*x = 4*b + 52, -44 = -3*x + j*b. Let v be (12*2)\/(0 - -1). Calculate the highest common factor of x and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13637.5 rounded to the nearest 100?\nAnswer: -13600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*t**2 + 39*t**2 - 38*t**2 + 108*t**2.\nAnswer: 153*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 190363640.\nAnswer: 2, 5, 23, 206917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 83 divided by 16.\nAnswer: 83\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 - 5*w + 8. Let p be d(4). Suppose p*f - 2755 = -f. Suppose 0 = 3*n - 2*n - 2*c - f, 3*n + c - 1660 = 0. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(72) + (sqrt(72) - (sqrt(72) + 5 + sqrt(72)))**2*4).\nAnswer: -1164 - 738*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 414 is divided by 56.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -0.1, 2\/9, -216054, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-2)*116\/(-290)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000111000100011000 (base 2) in base 10?\nAnswer: 291096","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4562 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 6, i: 12}. Give prob of sequence iii.\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 8) to base 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -198b61 (base 16) to base 6\nAnswer: -55514213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, 1\/3, 76674, -34 in descending order.\nAnswer: 76674, 1\/3, -2\/3, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + p = 2350. What are the prime factors of p\/50 - (-4)\/(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 94 and 473149.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11 and 187?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -36*i + 5. Let t(g) = -12*g + 2. What is -3*d(f) + 8*t(f)?\nAnswer: 12*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3534\/7 or 505?\nAnswer: 3534\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + (-1 - -4) - -2. Suppose -6*a + 10 = 4*a. Put l, a, -5 in increasing order.\nAnswer: -5, a, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -142496*c**2 + 59576?\nAnswer: -284992*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(567))**2 + sqrt(63)).\nAnswer: 9*sqrt(7) + 1701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -28904.6096 - 35075.\nAnswer: -63979.6096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 53*c - 19. Let g(q) = 158*q - 51. Give 3*g(j) - 8*x(j).\nAnswer: 50*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 8 - 17\/2*u**3 - 17\/2*u**2 + 1\/2*u**4 + 1\/2*u**5 + 8*u = 0.\nAnswer: -4, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-9)*(-4)\/(-8)*1\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.26, -2\/3, -0.21?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 7741*u + 162543. Give m(-21).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 5*a**2 + 2*a + 5. Let v(c) = c**2 + c + 1. Give -s(i) + 4*v(i).\nAnswer: -i**2 + 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2a10 - 2d0?\nAnswer: 2730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9466\/9 - 996. Let d = f + -56. Let c = -38.127 + 0.127. Is c < d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xbxbbbxbxxbbwx. Give prob of sequence wx.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7 (b) -1 (c) 1\/15 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -35\/9 + 613\/153. Let s = 11.83 - 10.8. Let v = -0.83 + s. Which is the third smallest value? (a) 5 (b) m (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 919623217 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, 229, 582, 1095, 1780, 2649, 3714?\nAnswer: 4987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g - 2*g - g)*(991 - 1101 + 2658)*(2*g + g - 2*g).\nAnswer: -7644*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 292840 to the nearest integer?\nAnswer: 541","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -92.3 + 101.628. Let m = z - 9. Let r = -26.872 - m. What is r rounded to 0 decimal places?\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 9) to base 15\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/46 and 50\/1334759.\nAnswer: 2669518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 t when two letters picked without replacement from {n: 4, x: 4, t: 1, o: 1}.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 31, 68, 105, 142, 179, 216?\n\"Answer: 37*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 25 and -38.4.\nAnswer: -13.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 349635 to the power of 1\/4, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -396 divided by 22?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3*24\/9 + 2. List the prime factors of (0 - 116\/(-3))\/(o\/(-27)).\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -52*n**2 + 4 - 58*n**2 + 108*n**2 + 2*n**3 to the form d*n**3 + g + q*n**2 + r*n and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.4, 6, -2, -1\/2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24092 - -24681. Calculate the smallest common multiple of v and 95.\nAnswer: 2945","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*k + 17*k - 9*k - 16 = -3*c + 12*k, -5*c + 75 = -3*k for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*f + 218 - 4*f + 6*f - f**2 - 213 to o*f + n + d*f**2 and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -430 - -430.5. Which is the third biggest value? (a) p (b) 2 (c) -7.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4131942*q**2 + 5177*q + 93.\nAnswer: -8263884","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*a**5 - 19*a**4 + 3*a**3 + 131191*a**2.\nAnswer: -420*a**2 - 456*a + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 32442*a**4 - a**2 - 2058.\nAnswer: 778608*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -460*z + 42*z - 154*z + (2 - z - 2)*(0 + 3 - 2) + z + 0*z + z + 3*z - z + 0*z in the form q + m*z and give m.\nAnswer: -569","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/(-6))\/(4\/(-48)). Suppose 0 = -2*r + s. Let v be 0*(-2 + r + -1). Is v at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 - (-18 + -76 + 42)?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*v**2 - 2*v + 14*v**2 - v + (3*v + 1 - 1 + (-4*v + v + 2*v)*(-4 - 3 + 1) - v - 2*v + 5*v)*(-112 + 112 - 23*v) to x*v**2 + g*v + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(68)\/sqrt(4) + (sqrt(51) - 1*sqrt(51))\/sqrt(3) + -4.\nAnswer: -3 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 290737 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (660\/56)\/(-3) + (-15)\/(-3). Is -5 at least h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/672 and -115\/12024.\nAnswer: 336672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 354 + -354.5. Which is the nearest to 0? (a) m (b) 5\/6 (c) -19 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(168))\/sqrt(8))\/sqrt(3)*2 + -1.\nAnswer: -1 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*u - 9 - 12 - 30*u**2 + 55*u + 1 + 5*u**3 = 0. Calculate u.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 19*f - 2. Let w be i(5). Let p be -1*(-4 + 1*1355\/(-15)). Let x = p - w. Which is the biggest value? (a) 0.5 (b) x (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 2*z + 802, 0*z + 801 = -2*r - z. Let w be ((-12)\/(-10))\/((-12)\/r). Let f = -14 + w. What is the remainder when f is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20*(-10)\/(-160)*-4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 39\/2*(-4)\/(-6). Let r be (8 - 14 - -5)\/((-2)\/(-4)). What is the units digit of (r\/2)\/(u\/(-2444))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 145790 = u - 0*u, -2*u = 4*f - 291608. What is u rounded to the nearest ten thousand?\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2030\/99 + -228\/11. Let y = 4\/9 - w. Sort y, 0.2, 2 in ascending order.\nAnswer: 0.2, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 296568808.\nAnswer: 2, 17, 23, 94811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 + 3*b - 5. Let o be u(-9). Suppose 9 = -w + o. What is the remainder when w is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, s: 4, g: 1}. What is prob of sequence sgws?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2\/49)*a)\/((a**(-31)\/a*a)\/a*a*a))**21 assuming a is positive.\nAnswer: a**(4551\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (r**2 - 2*r**2 + 0*r**2)*(-3 + 0 + 0)*(-r + r - 2*r)*(r + 11*r + 8*r) to the form u*r**3 + p*r**4 + c*r + j + h*r**2 and give p.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1565 divided by 313.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9561*o + 31864*o + 38925*o.\nAnswer: 61228*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - 7 + 22. Suppose 0*g + c*m = g - 42, 0 = g + 5*m - 22. What are the prime factors of g\/3 + 5\/15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 1903*k + 17 - 1903*k - 10*k**2 in the form i*k**2 + v + h*k and give i.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 70 = c. Let g = -14 + c. Suppose 0 = -2*o - 2*t + 18, 3*o + 3*t - 8*t - 27 = g. Is o a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1741 - -13997\/8. Let b = 161\/209 - 6\/19. What is the common denominator of b and s?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 3) to base 4\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from onnonoooooooooool. Give prob of picking 2 n and 1 o.\nAnswer: 39\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 712970*m + 2*m**2 - 6356 - 2*m**2 + 7*m**3 - 712970*m + 6356.\nAnswer: 7*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18.665058 + -1217701082.334942. Let g = h - -1217701225.0000138. Let m = -124 + g. What is m rounded to six decimal places?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 0.15, 2, -5 in decreasing order.\nAnswer: 2, 0.15, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, -48.\nAnswer: -48, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19600*z**5 + 472640*z**4 - 1684404*z**3 + 1450332*z**2 - 365040*z = 0. What is z?\nAnswer: 0, 39\/70, 3, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-0.05268.\nAnswer: -0.02634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -48484 divided by 5\nAnswer: -48484\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 + 16*u**2 - 18*u - 6. Let k = 33 + -50. Let q be z(k). Suppose x + 3*t - q = -t, 2*t - 19 = -5*x. Solve 4 = -x*b - 3*y - 8, -3*y - 4 = b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 103795 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*k**3 - 3*k**4 + 4*k**3 + 2*k**4 - k + 2*k**4 - 3*k**4 - k**4 + (-2*k - 2*k + 2*k)*(-2*k**3 - k + k) + 8*k**4 + 52*k**4 - 11*k**4.\nAnswer: 50*k**4 - 2*k**3 - k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/2 of a gram in milligrams?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 15 = -2*c, -f - c - 12 = -5*f. Let b = f - 1. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6042142617.\nAnswer: 3, 7, 83, 211, 2347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = 2*y - 4, 2*y = 13*s - 11*s + 10 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-135)\/8 - (175 - 71 - 121) - 98\/(-16)?\nAnswer: 25\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 244, 488, 732, 976, 1220, 1464?\n\"Answer: 244*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18561583 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/6*18\/3. Let u be (-2)\/w - (3 - 3). Is u at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/696 and 17\/40680.\nAnswer: 1179720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*g**2 - 3*g**2 - 8*g + 0*g**2 + 25*g**4 - 23*g**4 - g**3 in the form n + d*g**2 + t*g**3 + h*g**4 + k*g and give k.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 3*z - 1 = -10, 2*y = z + 5. Suppose -76 = -l - y*l. Solve 3*w - 2*v - v = 3, -l = w + 3*v for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1048*m**4 - 5537 with respect to m.\nAnswer: -4192*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 757.4558 litres to millilitres.\nAnswer: 757455.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*h**2*z**3 - 2*h**2 + 9*h*z - 21*z**3 + 13*z**2 with respect to h.\nAnswer: -6*h*z**3 - 4*h + 9*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1012010 (base 5) in base 12?\nAnswer: -9675","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100 = -5*i - 4*v, 11196*i + 554 = 11192*i - 19*v for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 - 2*u**2 - 4*u - 1. Let k be q(-4). Suppose 0 = -4*c + 3*c + k. Does 17 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -291*d + 145*d + 10 + 144*d - 10.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 8 - (-227 + 219)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 11:34 AM?\nAnswer: 7:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s = 6*s + 24. Calculate the remainder when 10 is divided by s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -49 + 51 + -13 + 1\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 at least as big as -85\/37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - -9. Let z(t) = -6*t**2 - 7*t + 7. Let g(c) = -c**2 - c + 1. Let j(k) = m*g(k) - 2*z(k). Let j(u) = 0. What is u?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 8424*z**2 - 796*z**3 - 30500*z + 22326 - 595*z**3 + 1139*z**3 + 4*z**4 - 2*z**4 = 0.\nAnswer: 1, 3, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - -7 - 17 - (-92 + 14 - -18)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.3198 rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 80325 and 107100.\nAnswer: 321300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 7:15 PM?\nAnswer: 7:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9526.\nAnswer: 2, 11, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of -p**6\/24 + 2*p**5\/3 - 35*p**4\/24 - 39*p**2 - 2*p - 29. Let o(d) be the first derivative of r(d). Solve o(q) = 0.\nAnswer: 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = v + 20 - 42, 3*a - v = 18 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -5*o**2 - 10*o + 1. Let x(t) be the first derivative of t**3\/3 + t**2\/2 + t + 14. Let g(h) = -k(h) - 4*x(h). What is the tens digit of g(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2690525 to the power of 1\/2, to the nearest integer?\nAnswer: 1640","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.04 + 0.04. Let n = 14.2 - 13.7. What is the nearest to -1 in n, j, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 84155 to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -7*t + 6. Give g(8).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2\/13, 1.3877, 1.2, 3, -0.5?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1911941, 3823895, 5735863, 7647851, 9559865, 11471911, 13383995?\n\"Answer: g**3 + g**2 + 1911944*g - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 3*d - 387 = 349, 368 = 2*v + 4*d. Does 23 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.35 > 5088?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -7*z + 26. Let d be (-5)\/4*2*2. Let h(k) = 4*k - 13. Let b(l) = d*h(l) - 3*i(l). Determine b(0).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 9*x = 21. Solve 3*z = x + 6 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 287.0542 - 287. Let r = 0.05419777 - n. What is r rounded to seven dps?\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*f**3 - 826*f - f**4 - 83*f - 415*f + 89*f**3 + 100*f**3 wrt f?\nAnswer: -12*f**2 + 1086*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 822 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1011000 (base 2) to base 3\nAnswer: -10021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.09 in 3, 0, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.3713602 millennia?\nAnswer: 4456.3224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7 and 399?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 277 - 71. Suppose 25*b - 671 = 204. Calculate the remainder when t is divided by b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32327843?\nAnswer: 32327843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 3*r - 15 = 0, -2*o + o - 2*r = -10 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 a when three letters picked without replacement from {w: 8, c: 1, l: 2, f: 1, a: 1, q: 2}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1092327 divided by -381\nAnswer: 2867","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 3641*j**2 - 101775. Let f(s) = 2*s**2. What is b(f(h))?\nAnswer: 14564*h**4 - 101775","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 47378, 94747, 142106, 189455, 236794, 284123?\n\"Answer: -5*h**2 + 47384*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -18066 divided by 6?\nAnswer: -3011","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k**2 - 540 + 540 + 2*k**2 + 3*k**2 - 3*k**2 + (1 + 2*k - 1 + (5*k - 2*k - 2*k)*(6 + 0 - 4) + 0 - k + 0 + 3*k + 2*k - 3*k)*(-7*k + k - 8*k).\nAnswer: -71*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1*-43.39\nAnswer: -43.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**2\/5 - 135064884*s\/5 + 1520210240827788\/5.\nAnswer: 3*(s - 22510814)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r. Let y(b) = -38225*b**2 - 275*b - 550. Let d(j) = 279*j**2 + 2*j + 4. Let z(x) = -550*d(x) - 4*y(x). What is z(n(v))?\nAnswer: -550*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 + 13*x**2 + 42*x + 101. Let v be p(16). Let h be (1\/3)\/(14\/222). Is h < v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**0)**(-29)\/((r**(-1)*r)\/r)**(-1\/30) assuming r is positive.\nAnswer: r**(-871\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by -1826.\nAnswer: 3\/913","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 5*l = 15, 2*n + 5*l - l - 24 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 + 14. Suppose -4*y = -0*y. Let z = -1 - y. Sort -4, w, z in decreasing order.\nAnswer: w, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 556701 or 556699?\nAnswer: 556701","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (35\/21)\/(5\/261)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - -5) + (-19 - -31) + 9\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - v + 21 = 0, 5*l + 15 = 6*l - 4*v. Calculate the smallest common multiple of l and 88.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -3*v**2 + 26*v + 176. Let b(k) = -5*k**2 + 44*k + 294. Let c(z) = 10*b(z) - 17*p(z). What is c(8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5344 (base 9) in base 16?\nAnswer: f58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*i**5 + 4*i**5 - i**5 + (0*i**3 - 2*i**3 + 0*i**3)*(-122*i - 57*i**2 + 122*i)*(-1 - 5 + 3).\nAnswer: -344*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*(a*a\/(a*a*a**6*a)*a*a*a)\/a*a\/(a\/(a\/(a\/(((a**(-3)*a)\/a)\/a))*a))*a**(-1\/3)*a**(-4\/7)*a)**12)**(5\/12) assuming a is positive.\nAnswer: a**(-725\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 778426.422 to the nearest 100.\nAnswer: 778400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1291440 is divided by 645309.\nAnswer: 822","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1152896.1 rounded to the nearest 100000?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1049559931 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - 2\/10) + (-4956)\/20. Let l be (-2)\/(-13) - 1938\/d. Suppose -1 = -3*n + l. Solve -n = -3*w - 3*t, 2*w = 4*t - 0*t + 2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.2 + 0.2. Let v = -3.6 - m. What is the second smallest value in -1, 3, v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -145\/18 and -77\/25294.\nAnswer: 227646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3\/9 - 1585*w**2\/9 - 38593*w\/9 - 37007\/9.\nAnswer: (w - 1609)*(w + 1)*(w + 23)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*b**2 - 5*b**2 - 7*b**2 + 22 - 88 to the form c + g*b + u*b**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {r: 4, b: 6}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 32 = -c + 4*j, -3*j = 5*c + 80. Let x = c + 36. Calculate the remainder when x is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6 + -5 + 0 + 2. Let q(g) = -g**2 + 2*g - 1. Give q(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1123056 + 13?\nAnswer: 1123102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (14*o**2 - 14*o**2 - 2*o**3)*(6*o - 3*o - 4*o + (1 - 1 + 2)*(-2 + 3 + 0)*(-22 + 22 + 6*o)) to the form y*o**4 + m*o**2 + l*o + t*o**3 + i and give y.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**(-2)\/g)**(27\/2))**(10\/11))**(-49) assuming g is positive.\nAnswer: g**(13230\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + -2. Let g = f - 0.1. Let c = g - 0. What is the closest to c in -2\/5, -5, -1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + n**2 + 4 + (3 - 1 + 0)*(n - n + n)*(-2 - n + 2))*(-6 + 12*n**2 + 6) as y*n + d*n**3 + f*n**4 + a*n**2 + w and give f.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 149040720 divided by 11412.\nAnswer: 13060","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -5*l**2 - 18*l - 3. Let o be y(-16). What is the tens digit of (-2)\/(-8) - o\/20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6241 + 0?\nAnswer: -6241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.7203 to one dp.\nAnswer: -6.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three fifths of a centimeter?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17694829 * 0.4.\nAnswer: 7077931.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 - 29*k**2 + 22*k - 16. Determine g(-30).\nAnswer: 224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -109.631\nAnswer: -438.524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -5*v + 168. Let b(l) = -11*l + 334. Give -4*b(t) + 9*q(t).\nAnswer: -t + 176","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002398507 rounded to 6 dps?\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 3, -10, -2\/23?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) 1\/6 (c) 0 (d) 99 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76578.\nAnswer: 2, 3, 12763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-4*(sqrt(64)*-2 + sqrt(64)))\/sqrt(8)*3.\nAnswer: -96*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 b, and 1 q when three letters picked without replacement from bbiiqbwtbqwwjqbbi.\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 2*p - 11 = -4*p, -3*t - 16*p = -63 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2139\/(-23))\/(6\/8). Let u = a - -865\/7. Let m be ((-6)\/20)\/(3\/4). What is the third smallest value in 3\/5, m, 4\/9, u?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1\/83 - -72\/913. Let y = 31 - 19. Let b = 12 - y. Sort u, 0.2, b.\nAnswer: b, u, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12159 - 11767. Calculate the remainder when t is divided by 122.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 20 + (12 - 31) + 7\/(140\/64). Is t bigger than 48?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the second derivative of n**4\/12 + n**3\/3 - 2*n**2 + 50*n - 1. Give j(-6).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*f + 7*f. Suppose 0 = 4*m - i - 21, 3*i + f = -15. Is m - ((-1670)\/2 - 4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2 - 4*k + 7. Let l be q(-5). Let j = l - -11. Which is smaller: 11 or j?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h + 2*h**3 - 2*h)*(31*h + 3560*h**2 - 1 - 1782*h**2 - 1786*h**2).\nAnswer: -16*h**5 + 62*h**4 - 2*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-21)\/(-14)*(-8)\/6. Let j be (1\/w)\/((-1)\/6). What is the second smallest value in -2, -3, j?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 1) + (-6 + -16 - -30)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*s + 6*s - 5*s)*(2 - 2 + 2*s)*(-25 + 48 + 24*s + 15) as q*s**3 + k*s + v*s**2 + z and give q.\nAnswer: 336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*c**3*k**3*o**2 + 15*c**3*o**2 + 76*c**2*k**3*o**2 + 2*c*k**2*o**2 + 4*k**2*o wrt k?\nAnswer: 18*c**3*o**2 + 456*c**2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.014 - -2. What is n rounded to one dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**4 - 223992*k**3 + 839711232*k**2 - 1082835479304*k + 469260435288060.\nAnswer: 4*(k - 52065)*(k - 1311)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -94 - -130. Calculate the remainder when w is divided by 21.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17047 - 17047 - 52*s**2 - 51*s wrt s?\nAnswer: -104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + -4*(-10)\/4. Suppose 3*w = q + 5. Let h(t) = -t**3 + 6*t**2 - 3*t - 6. Give h(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a324 (base 13) in base 14?\nAnswer: -1487a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/4262 and 1\/14.\nAnswer: 29834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 7:17 PM?\nAnswer: 12:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 5 = 0, 3*r + 0*j + 4*j - 49 = 0. Let b be 47 + -30 + 10*1\/2. Which is smaller: r or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 - 23*j**3 + 52*j**3 - 30*j**3 + (1 + 1 + 0)*(4*j**3 + 0*j**3 - j**3) in the form l*j**3 + f + d*j + y*j**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -274, 2\/17 in descending order.\nAnswer: 2\/5, 2\/17, -274","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of b**8\/168 - b**6\/60 + b**2\/2 + 20*b + 34. Let a(x) be the second derivative of w(x). Let a(s) = 0. What is s?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 2*(1*sqrt(19)*4)**2*5 + ((sqrt(228) + (sqrt(228)*-1 - sqrt(228)) + sqrt(228))\/sqrt(12) + sqrt(57)\/sqrt(3)*-4)*5.\nAnswer: -20*sqrt(19) + 3041","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000271 to seven dps.\nAnswer: -0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 1285 = -x. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42748200 a multiple of 220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 26003 = 6*c + 863. List the prime factors of c.\nAnswer: 2, 5, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-97600)\/1550 + (-22)\/682?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 721436603 + 66\nAnswer: 721436669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 384 a factor of 8832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of 65*u**4\/24 + 19*u**3\/6 - u**2. Let k be h(5). Let f = k + 375. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-30)\/j*((j*j**(-2\/17))\/j)\/j*((j*j**8)\/j*j)**20)**(-24) assuming j is positive.\nAnswer: j**(-60336\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.2 - 1.8. Let v = 0 + x. What is the nearest to 0.1 in v, 1\/2, -5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -232*q - 40 = -240*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -707*x + 4972 - 4972.\nAnswer: -707*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(180)*-2 + -1 + 2.\nAnswer: 1 + 48*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 125823.\nAnswer: 3, 41941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6633701 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*r**4 + 6*r**3 - 5*r**3 - 28*r**4 - r**3 + (108 + 97 - 126)*(-r**4 + r**3 - r**3).\nAnswer: -117*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7193 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130535 is divided by 746?\nAnswer: 731","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - -3. Suppose 0*w + 3*w = 6. Suppose d*c + 7 = v, -v + w*v + 5*c - 25 = 0. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 229076579 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ie when two letters picked without replacement from {r: 3, w: 1, i: 10, e: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -5 (b) 4 (c) -5\/3 (d) -4\/7 (e) 277 (f) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0622914239 rounded to 5 dps?\nAnswer: 0.06229","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 120 or -509\/7?\nAnswer: -509\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -1 (c) 3\/4 (d) -2 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6*((-6)\/4 - 3\/(-6)). Let f = 31 - m. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.16 minus 112.544?\nAnswer: -117.704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 201968 - 136345. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1032?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (206\/(-103))\/(1\/(-2)). Solve c*f - 10 = -f + a, 4*a = 20 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 799*f*y**4 + 24*f*y**2 + 53*f*y - 90*f - 2*y wrt y.\nAnswer: 9588*f*y**2 + 48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 131, -27, -495, -1273, -2361, -3759, -5467?\nAnswer: -7485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6570 (b) -1\/13 (c) 2183\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ibb when three letters picked without replacement from lbbcbii.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h + 11*h = 2. Let z be (-5 - (-25)\/5) + 12\/4. Suppose m = -z*m + h*m. Solve -2*w - 3*w = m for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 97539.01938 + -97537. Let w = -2.02 + p. What is w rounded to 4 dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 127 and 1239139?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/5 (b) -15 (c) 1\/2 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2020000 rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/49052065 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/56008 and -5\/16?\nAnswer: 112016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - n = 0, -n + 6 = i - 0*n. Suppose -24*q = -27*q - 3. Put q, i, 3, 0 in ascending order.\nAnswer: q, 0, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 104\/13*(-3)\/(-24).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 83 and 913.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/4))**(-2\/17)*((o*o**(-9)*o)\/o)\/(o*o\/(o**5\/o)) assuming o is positive.\nAnswer: o**(-205\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 324\/174 + (-2 - 0). Let t = 5\/174 - z. Let w = -1503\/5 + 299. Sort t, 5, w in descending order.\nAnswer: 5, t, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/(-2) - 5\/10. Find the first derivative of -7*d**h - 1 - 6 + 3*d**2 wrt d.\nAnswer: -8*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 6*v**3 + 75*v**2 - 216*v - 41. What is h(3)?\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and -8.7947517.\nAnswer: 1.75895034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 8 = 7*m - 3*d, 0 = -4*m + d + 5. Let f(a) = -a - 2. Let v be f(-7). Suppose -v*q - 31 = -3*x, -m = 3*q - 4*q. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8043470\/27 or 297906?\nAnswer: 8043470\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26 + 52. Let c = z + -42. Let u(q) = -9*q - 10. Calculate the remainder when u(-9) is divided by c.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((3168\/55)\/(-48))\/(108\/120*(-3)\/(-1))?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, 146 in ascending order.\nAnswer: -4, 5, 146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (59 - 2*u - 61 - 4*u + (-1 + 4 - 4)*(0*u - u + 0*u))*(u + 2*u + 0*u).\nAnswer: -15*u**2 - 6*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -404 and 1070.1.\nAnswer: -432320.4","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 122 + 115. Suppose -3*b = -243 - k. Suppose -5*c + 4*g - 3*g = -b, -c + 32 = 2*g. Calculate the remainder when c is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -6*u**2. Let g(l) = -1021*l**2. Calculate g(r(j)).\nAnswer: -36756*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14859, 14837, 14811, 14781?\nAnswer: 14747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*r, -3*r = 4*q + 2*r + 22. Suppose 0 = -4*d - 5*b - 50, 13 = -4*d - b - 29. Let v = q - d. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-2\/7))\/(k**(-1\/6)\/k))\/(k**7\/(k*k*k**(-3)\/k*k))*((k*k\/(k\/k**3)*k)\/k*(k\/k**9*k)\/k)\/(k**(-1\/4))**15 assuming k is positive.\nAnswer: k**(-535\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 AM and 10:42 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1723225487?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -63\/13786 greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -230*j*t**2 + 3*j*t - 1097*j + 3*t**2 - 4*t + 242 wrt t?\nAnswer: -460*j*t + 3*j + 6*t - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25 - (-78 + -19 - -85).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3 and 294.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -45 + 49. Suppose 14 = -2*x - g + 49, 5*g = -w*x + 85. Is x a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 + 9*v**2 - 6*v - 10. Let f be b(8). Let p(o) = f*o - 7*o + 0*o - o**2. Let d(k) = -k - 1. Determine -d(h) + p(h).\nAnswer: -h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -964 rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 21\/18 + 1 + (-3)\/18. Suppose -g*c + 0*w = -5*w + 572, -271 = c + 5*w. Round c to the nearest 10.\nAnswer: -280","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + -6*(0 + sqrt(1216))*1*2*-1)*5)**2.\nAnswer: -4800*sqrt(19) + 4377625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 48\/(-24 - 24) + (-33)\/(-36) + 0.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - n + 75 = 0, -5*n = -2*y + 121 + 22. Suppose -32 = -0*b + 2*b. Calculate the remainder when y is divided by ((-4)\/6)\/(b\/456).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 110000011 (base 2) to base 15\nAnswer: 1ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -139*c**2 - 86*c. Let k(q) = q**2. Give z(k(d)).\nAnswer: -139*d**4 - 86*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 865054849 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 22675?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*g + 267 = -84 - 79 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + r + 4*p = -290, -4*r = p - 589. Suppose -5*f - r = -177. What is the greatest common divisor of 54 and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3033871 millennia in months?\nAnswer: 3640.6452","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -2*o - 79 + 23, o - 12 = -u. Let w be ((-12)\/u)\/((-3)\/8). Suppose -w*f + 7*f - 15 = 0. Let c(t) = t**2 + 2*t + 1. Calculate c(f).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15544.\nAnswer: 2, 29, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 45965064571 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3923\/360 + -87\/8. Let c(m) be the second derivative of -m + n*m**6 + 0*m**4 + 1\/15*m**5 - 1\/3*m**2 - 2\/9*m**3 + 0. Factor c(b).\nAnswer: 2*(b - 1)*(b + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-60)\/(-18))\/(-10)*(-18)\/21?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2926 + -2756. What is the least common multiple of m and 170?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -38, -75, -114, -155, -198, -243?\n\"Answer: -b**2 - 34*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4734757.44 minutes to weeks.\nAnswer: 469.718","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 189967 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 99 - -1. Let u be 155\/p*105572\/(-6). Let b = -27276 - u. What is the common denominator of b and -145\/18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2\/11)*s)\/s*s**9*s**(4\/5)\/s*s**(-2\/3)\/s)**(-42) assuming s is positive.\nAnswer: s**(-16058\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5372602225 + 5372603724.0001206. Let x = k - 1499. Round x to five dps.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 304562*2.808.\nAnswer: 855210.096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-456392 + 914750 - 474974)*(-2*t**3 + 3*t**3 - 2*t**3).\nAnswer: 16616*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 divided by 4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 3*z**3 + 5*z**2 - 11*z + 10. Let v be w(6). What is the tens digit of 20\/4 + 18 + v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + -4*sqrt(3)*-3 - (5 + (sqrt(15)\/sqrt(5) - sqrt(3))**2) - (5 + sqrt(12)\/sqrt(256) + 2)**2)*5.\nAnswer: -17295\/64 + 225*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f - 2*f - f + 0*f + 0*f + f + (-5*f + 4*f + 3*f)*(-3 + 4 - 3) - 2 + f + 2 - 22*f + 720 - 720 + 7*f - 3*f - 2*f + (0 - 4 + 3)*(0*f - f - f).\nAnswer: -21*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = 62*r + 171 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 7 - (-5 + 4) - (-11 + 10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1076*f - 238024 = 3447*f - 55094 + 133680 for f.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 - 1)*(3*w + 3*w - 4*w) - 37 - 756*w + 1316*w - 503*w.\nAnswer: 53*w - 37","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1743, 1706, 1675, 1650, 1631, 1618, 1611?\nAnswer: 1610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of -8*l - 67501\/2*l**2 - 3. Let p be v(-8). What is p rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 3*v**2 + 5*v + 1. Let a be 292\/(-18) - (-2)\/9. Let d = a - -26. Calculate the remainder when p(-4) is divided by d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1750415844?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2463 is divided by 2414.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + d = 4*v - 252, -v - 5*d + 57 = 0. What is the greatest common factor of 1054 and v?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -3*m + 21, -4*c + m + 3669 = 3659. Solve -3*u + c*s = -18, -3*s - 123 = -5*u - 95 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*i + 2*i + i**2 - 2*i**2)*(-248 + 15*i**3 + 248).\nAnswer: -15*i**5 - 45*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 34*y - 7*y + 27 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 101013547 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -31 - -28. Is ((-318)\/(-9))\/(3 + 7\/j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -3*n**2 + 20*n - 46. Determine y(9).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 i when three letters picked without replacement from iefgttffitgs.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 PM and 12:48 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 - 5*p**2 - 4*p - 5. Let c be 3 + (-4 + 4 - 3). Let m be (-7)\/7 - (-7 + c). What is l(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185354405 to the power of 1\/3, to the nearest integer?\nAnswer: 570","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u**2 - 3*u - 2. Let o = -12 + 4. Let p be (2 + (-20)\/8)*10. Let f = p - o. Give z(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 46056 divided by -6\nAnswer: -7676","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25830 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 5*y = 14, -238 = -34*w + 21*y - 8*y - 8*y for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 30*s - 3. Let u(i) = 60*i - 7. Let g(q) = 2*u(q) - 5*y(q). Let m be g(-3). Calculate the common denominator of 14\/m + (-1319)\/(-130) and -44\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-6)\/(-15) - (-4 + 243\/(-5)) is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2916)*1)\/(sqrt(120)\/(-3*sqrt(10))).\nAnswer: -27*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -56*525\nAnswer: -29400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 344\/1806451 or 0?\nAnswer: 344\/1806451","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -632 + 631.739. What is i rounded to two dps?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-2\/11)\/((g**(7\/8)\/g)\/g) assuming g is positive.\nAnswer: g**(83\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17598957?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1281 (base 10) to base 3.\nAnswer: -1202110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3\/7 + 41046*a**2\/7 + 26019648*a - 301318507008\/7.\nAnswer: 2*(a - 1269)*(a + 10896)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11 and 10307?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 5*h**3 - h. Let m be (-2 - 2)*1\/(-4). Let b be k(m). Find u, given that 0*u**4 + b*u**4 - u**3 - 2*u**4 - u**5 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4030949 + 1?\nAnswer: -4030948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) -5 (b) 25 (c) -0.1 (d) 4\/55 (e) -0.16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5 or 2676\/437?\nAnswer: 2676\/437","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, j: 2, e: 1, z: 1, i: 3, s: 1}. Give prob of picking 2 j and 1 e.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*((-4)\/1 - 2). What is the units digit of (-1)\/6 - 326\/p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/(k\/k**41*k*k)))\/(k**(-40)\/k) assuming k is positive.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48 - 43 - (1 + -2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 3*q**2 + 3 + 7*q - 2*q**3 - 15*q + 0 + 0*q**2 + q**4 to the form w*q**2 + h*q + a + v*q**4 + z*q**3 and give h.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 439119\/52 + -8444. Calculate the common denominator of 14\/65 and s.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - ((-30 + 0 - (-180 - -173)) + (0 - -4)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.481 - 0.94. Let l = u + -0.041. Which is the third smallest value? (a) -0.7 (b) l (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3827674, -3827491, -3827308, -3827125, -3826942?\nAnswer: -3826759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/4 (b) 0.3 (c) 3\/7 (d) 3.416 (e) -61\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (4*(sqrt(384) - (-2*sqrt(384) + sqrt(384))))\/(-3*(sqrt(8) + sqrt(48)\/(-3*sqrt(6)))).\nAnswer: -16*sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123590 is divided by 122062?\nAnswer: 1528","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -202766*l + 156299 wrt l.\nAnswer: -202766","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -4, -3, 2, 515, 1 in increasing order.\nAnswer: -4, -3, 1, 2, 17, 515","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(2754))\/(sqrt(96)\/sqrt(3) + sqrt(2)).\nAnswer: -9*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1733233 in -2\/9, -2\/17, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*a, 3*n + 4*a = 4*n + 534635. Let f = -134655 - n. Round f to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139 is divided by 21.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.745431 + -0.085422. Let o = 0.66 - k. Round o to 4 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence al when two letters picked without replacement from {l: 2, a: 5}.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oogooogggoogoooooo. Give prob of picking 3 o.\nAnswer: 143\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*u - 16*u**4 + 5*u + 3*u - 5*u**4 + u**4 - 2*u**4 + 3*u + u**4 - 3*u + 0 + 0 - 3*u**4 + (4 - 2 - 1)*(0*u**4 + 0*u**4 - 2*u**4).\nAnswer: -26*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nm when two letters picked without replacement from {m: 4, n: 1, v: 4, a: 10}?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 1279*f + 109. Let x be p(9). Suppose 0 = 18*w - 53*w + x. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71e88 (base 16) to base 6.\nAnswer: 14000012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39233, 39274, 39333, 39422, 39553, 39738, 39989?\nAnswer: 40318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 9*h + h - 4 + 4. Let t be p(12). Suppose -15*g = -19*g + t. Is g a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 times 171510?\nAnswer: 1200570","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1272 + 2331. Does 13 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43421 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 54798 and 12.\nAnswer: 109596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -r + 4*r + 3*b, -5*b = 10 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n**3\/3 - 1051*n**2 - 1104601*n - 1160935651\/3 = 0. Calculate n.\nAnswer: -1051","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 15912 a multiple of 156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 43158 to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*g + 6*g + 8*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, 4, 0, 431?\nAnswer: 431","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -34*w**3 + w**2 + 11*w - 14. Determine f(2).\nAnswer: -260","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 50 + 1686*a + 16190*a - 14 - 36 to the form d*a + p and give d.\nAnswer: 17876","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 32 - 30. Suppose 4*d + w - 50 = 0. Let o(j) = j**3 - 13*j**2 + 13*j + 10. Let y be o(d). Calculate the greatest common divisor of 11 and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.34 + -0.04. Let j = z - 0.2. Let y = 62645.02 + -62645. Which is the nearest to -1? (a) j (b) y (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7327*c + 27 = -7318*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*1*sqrt(2880))\/(2*sqrt(144) - (sqrt(576) - sqrt(576)*1 - sqrt(576))).\nAnswer: -3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 36728160 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -314234, -1256661, -2827372, -5026367?\n\"Answer: -314142*d**2 - d - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 354303143 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.8328 - 0.0272. Let q = -0.14 + u. What is the third smallest value in 3, 11, q?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 54869792?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 - 0. Let b = -2 + g. Let m = -15 - b. What is the closest to m in -1, -3, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 6:44 PM?\nAnswer: 4:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = x - 36. Suppose s + 58 = -v, x*v - 4*v = s + 40. Let q = -34 - s. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 645*m - 8. Let l(i) = 3*i + 1. Let v be l(2). Is g(v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 81\/117*((-1625)\/1)\/(-25)\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -30*f**3 + 25*f**2 + 25*f - 25. Let j(r) be the first derivative of r**4\/4 - r**3\/3 - r**2\/2 + r + 2639. Calculate -b(y) - 25*j(y).\nAnswer: 5*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12? (a) 5 (b) -0.1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6552245*p**2 + 22*p + 4785.\nAnswer: -13104490","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7956 - -7955. Let a = -27 + 66. Is d not equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 + -7. Let l(u) = -8 - p*u - 15 + 22. What is l(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of n**5\/70 - n**4\/21 - n**3\/7 - 2*n + 1. Let j(t) be the first derivative of r(t). Factor j(q).\nAnswer: 2*q*(q - 3)*(q + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of -5*v**3\/6 - 7*v**2 - 5*v - 1. Let z(q) = -2*q - 5. Calculate -3*b(o) + 8*z(o).\nAnswer: -o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*(-18)\/42)\/(18\/(-21))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -2\/13, -3, -18?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.46911 to two decimal places.\nAnswer: -12.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4*n + 2)*(-3 - 3*n**3 + 3 + (4*n**3 + 0*n**3 - 3*n**3)*(2 - 3 + 0))*(2 + 5 - 1)*(-n + 0*n - n).\nAnswer: -192*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 g when two letters picked without replacement from {o: 1, w: 1, k: 3, g: 4, y: 4}?\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 11:21 PM?\nAnswer: 9:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18.9655 - -0.0345. What is the second biggest value in b, -0.3, 1\/2, 0.2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d + 44. Let c(g) = 15. Let a(s) = -17*c(s) + 6*t(s). What are the prime factors of a(19)?\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (7\/(-9) + 1)*3. Let k = -0.055 + 6.455. Let q = k - 6. Which is the third smallest value? (a) 2\/13 (b) i (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 94 = 2*o, 0 = 3*j - 4*o - o - 44. What is the remainder when 88 is divided by j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1777338.2 rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2395*h*r**3 + 3*h*r + 3*h + 10*r**2 - 59279 wrt r.\nAnswer: -7185*h*r**2 + 3*h + 20*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 31992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 0\/(0\/3 + -2) - -798.\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -226 + 229. Solve m**2 + 296*m**t - 11*m + 6 + 3*m**2 - 295*m**3 = 0.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 8) + (-16)\/56*-213*(-28)\/(-168).\nAnswer: 36\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 4*j - 10 = 0, -3*j = -4*w - j + 40. Let g be 1\/(-2) + 525\/w. Suppose 4*y = 2*b + g, 0 = 2*b + 7 + 1. List the prime factors of y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 + 7*m**2 - m - 23. Let d be t(6). Let j(i) = 62573*i - 11. Let s be j(d). Round s to the nearest ten thousand.\nAnswer: 440000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1337, -2665, -3993, -5321, -6649, -7977?\nAnswer: -9305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2160*v - 5977. What is x(-2)?\nAnswer: -1657","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 - 6*w - 5. Let b be p(7). Let y = -1704 - -1707. Sort y, 0, b.\nAnswer: 0, b, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 (base 12) in base 2?\nAnswer: -100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 4 = -4*z. Find t, given that 1\/4*t**z + 1\/2*t + 0*t**2 - 1\/2*t**3 - 1\/4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*a**3*q + 99*a**3 + a*q + 6*a - 2*q + 347 wrt a.\nAnswer: 42*a*q + 594*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 11*m. Let l(q) = -1314*q + 2. Determine -l(o) - 16*s(o).\nAnswer: 1138*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wm when two letters picked without replacement from {w: 2, r: 1, m: 1, x: 1, z: 1, k: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -17195, -17194, -17193, -17192, -17191, -17190?\n\"Answer: l - 17196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.7 + -5. Let c be 0\/(-220)*2\/26. Put h, -5, -2\/17, c in decreasing order.\nAnswer: c, -2\/17, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 963899.\nAnswer: 963899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10)\/(-15)*(-30)\/(-4). Suppose -4*b = 19 + o. Let t = 9 + b. Solve -t*g = g - 16 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 8, j: 2}. What is prob of picking 1 j and 1 a?\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4613 and 5543395970.\nAnswer: 4613","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 m when three letters picked without replacement from {o: 3, m: 3}.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c**4 - 2*c**5 - 4*c**4)*(0 - 3 + 1) + 38*c**5 + 67*c**5 - 181*c**5.\nAnswer: -72*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 80\/(-56) + (-6)\/(-14)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from clclfcczcjffflcczfc.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 + -8. Which is the third biggest value? (a) l (b) -7 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2081237 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1350596*n**3 - 641*n**2 - 1350597*n**3 - 146*n**2 to a*n**2 + z + o*n + f*n**3 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 59*n - 593. What is g(20)?\nAnswer: 587","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -y**2\/4 - 317*y\/2 - 633\/4 = 0.\nAnswer: -633, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(8\/(-32)*19 - -5). Let f(o) = -o**2 - 4*o - 2. Let c be f(-3). Let i be (-5 + 6)*(0\/1 - 0). Put b, i, c in decreasing order.\nAnswer: c, i, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 7*j + 51 = 5*z, -5*j + 3*z = 17 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -719409 divided by 719409?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nbbi when four letters picked without replacement from {x: 1, u: 4, y: 1, i: 2, b: 3, n: 1}?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 612?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-221036)\/(-80) + 1\/20?\nAnswer: 3, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -123*m + 3185. Give i(26).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.72 and -28807.\nAnswer: -20741.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 v when two letters picked without replacement from {r: 2, v: 4, y: 2, b: 1}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 + 13*f - 23. Let c be h(9). Let a(t) = -7*t - 1 - 5*t + c*t. Let u(i) = -1. Give -5*a(g) + 5*u(g).\nAnswer: -5*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/6 - (-11)\/(-3). Let n = l - -7. Suppose -n*j - j = -40. Solve 4*h - 2*h = -j, -m - 8 = h for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -113*o**3*q**3 - 76*o**3 + 2205*o*q**3 + 3672*o*q**2 - o*q wrt q?\nAnswer: -678*o**3 + 13230*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 12*t**3 - 8*t**2 - 6*t + 2. Let u be k(4). Let i(j) = 137*j + 1. Let m be i(-1). Let x = m + u. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, j: 7}. What is prob of sequence jpp?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6, 1, 4, 177.8, -1\/3, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -122554 * -0.6\nAnswer: 73532.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -197*b**2 + 158*b. Let i(s) = -396*s**2 + 315*s. Let c(w) = -9*g(w) + 4*i(w). What is the second derivative of c(l) wrt l?\nAnswer: 378","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.022684 plus 22.02?\nAnswer: 21.997316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + -1212121?\nAnswer: -1212121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.041959 from -338089566.7.\nAnswer: -338089566.658041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 28303809 times 4?\nAnswer: 113215236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -29*n**2 - 10*n**3 + 60*n**2 - 30*n**2 + (3*n - 5*n + 3*n)*(-2*n**2 + 1 - 1).\nAnswer: -12*n**3 + n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17185 is divided by 163.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26 - 18. What is the least common multiple of x and (-6)\/21 + (-130)\/(-14)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13353*l**3*n - 10233*l*n wrt l.\nAnswer: -80118*l*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2101 - -3154. Is 27 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n*n\/(n\/n**12)*n)\/n)**(2\/27))**(-49) assuming n is positive.\nAnswer: n**(-1372\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, p: 4, r: 10, m: 1, b: 3}. What is prob of picking 1 m and 1 n?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 73\/30 + -7\/3. Let r(u) be the first derivative of 0*u**3 + 0*u**4 - p*u**5 + 0*u**2 + 1 - 1\/12*u**6 + 0*u. Factor r(a).\nAnswer: -a**4*(a + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*g + 156 = 15*g + 3*g. Let c(q) = q**2 + q - 1. Let n(j) = -3*j**2 - j + 5. What is g*c(s) + n(s)?\nAnswer: s**2 + 3*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 2*c**2 + 3. Let t(z) = -z**2 - 2. Let i(v) = v**3 - 5*v**2 + 6*v - 6. Let q be i(3). Let a(o) = q*t(o) - 4*f(o). Let p(k) = 13*k**2. Give p(a(y)).\nAnswer: 52*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than -1214\/12507?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*o**4 - 4*o**3 + 38*o**2 - 9027 wrt o?\nAnswer: 20*o**3 - 12*o**2 + 76*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = n. Let h be ((4\/((-16)\/6))\/1)\/81. Which is greater: n or h?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 41378*x + x**2 + 2 + x**3 - 20876*x - 20962*x to w*x**3 + t*x + g*x**2 + v and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -445*8\/100 - -22?\nAnswer: -68\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - 1) + -4 + (7 - (1 + 2))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 5*c + 2 - 0, -3*c - 18 = -t. Suppose 4*q - 5*r = 316, -4*r + t = -r. What are the prime factors of q?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wvw when three letters picked without replacement from wvvwvv?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 289.9405 + 0.0595. Let t = g - 287. What is the biggest value in -8, 4, t?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8 + -1 + -6 - (-2)\/1. Suppose 4*l - 5*l + 75 = -5*c, -5*c + 205 = k*l. What is the greatest common divisor of 28 and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**4\/8 + f**3\/2 - f**2\/8 - f\/4.\nAnswer: f*(f + 1)**2*(3*f - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y + 4*y**2 + 36 + 5*y - 2*y**2 + 18*y. What is the tens digit of b(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -93511 + 158678. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i + 10 = 3*z + 2*i, -3*i = -3*z + 6. Sort 0, z, -1, -3, -113 in decreasing order.\nAnswer: 0, -1, z, -3, -113","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 9560483 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1327030940 to the nearest integer?\nAnswer: 1099","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of -2*i**7\/525 + i**6\/75 + i**5\/75 - i**4\/15 + i**2 + 5*i. Factor q(m).\nAnswer: -4*m*(m - 2)*(m - 1)*(m + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 19 = 4*s, -16*s + 14*s + 8 = -2*j for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7314 - -8834. Which is smaller: p or 1521?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*z**2 - 428*z + 428*z.\nAnswer: -11*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x - 28 = -4*u, -65*u - 21 = -x - 68*u. Sort x, -1, 1, -14, 5 in descending order.\nAnswer: 5, 1, x, -1, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from qpppqqpqpppqq?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -7*x + 1. Let a(c) = 9390*c - 1565. Give 2*a(y) + 3130*o(y).\nAnswer: -3130*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 551 + -455. Factor -59*d - 2*d**2 + k*d - d.\nAnswer: -2*d*(d - 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31927?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48 - (12 - 41)) + 70 + 1?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10116? (a) 1 (b) 0 (c) -6 (d) -2 (e) 1\/90\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*g, -2*y + 2*g + 9766 = -0*g. Let s = y + -73141\/15. Calculate the common denominator of 13\/18 and s.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1148927 is divided by 287231.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -3\/2, -5, -2\/49, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2189585.\nAnswer: 5, 193, 2269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -66 + 68. Suppose 66 = -b*l + 50. What are the prime factors of (l\/(-3))\/(-2)*(-48 - 21)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.314+5.1\nAnswer: 4.786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 13 + 42 = -i, 0 = 2*i + 8 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 43*(-7)\/(-301) + 99\/(-3)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/510 and 72\/50575?\nAnswer: 303450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3 - 448850*l**2.\nAnswer: l**2*(l - 448850)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i + 7. Suppose 0*o - 5*o - z + 139 = 0, 38 = 2*o - 4*z. What is the remainder when o is divided by n(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10)\/(-4) + 1\/(-2). Suppose 2*u = -t*c - 4, 0 = -c - 4*u - 8. Suppose -2*g + 136 + 28 = c. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 7*w = 5*s - 35, 0 = 3*w - 3*s. Suppose 55 = 5*f + 5*l, -w*f + 55 = 3*l - 0*l. Solve 5*k + 20 = 0, -k + f = -5*h - 0*k for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -62 - -59.8. Let v = f - -2.26. Let m = 1 + -1. Which is smaller: v or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - -3 - (1 + -23 - 3 - -2)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*b - 132*b + 28*b.\nAnswer: -145*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/138 and 71\/2806?\nAnswer: 8418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from {w: 3, t: 3, g: 5, k: 1}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.76 - 736301.\nAnswer: -736301.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -470 + 450 = -4*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 8:49 AM?\nAnswer: 10:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -155329*s - 465956. Calculate t(-3).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.2, 0.4, 2183, 0?\nAnswer: 2183","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8562256 less than 16194.44?\nAnswer: -8546061.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 52 and 689.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f**2 + 336*f = 0.\nAnswer: -84, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g - 7. Let q be y(-3). Let s be -449 + (-2 - (q - -2)). Is (-1 - -2)*s*-1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3051 is divided by 2111?\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5644*t + 3 - 3.\nAnswer: 5644*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/3*150\/(-20). Suppose -g = 4*f + u - 3*u, 0 = 3*f - u + 7. Let z(d) = -2*d - 2. Determine z(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m, 1 q, and 1 h when four letters picked without replacement from {g: 4, k: 5, q: 1, m: 4, j: 1, h: 3}?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y + 15*y = -8*y + 46970. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10307?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of 7.6 and 25003555859.\nAnswer: 25003555866.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 62 = 43. Suppose 0 = f*c - 6*c - 6900. What is the hundreds digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 29*z + 632. Let y be j(-22). Suppose x - 6 = -x. Let o(c) = -9*c + 4 - 6 + 5*c**2 + x*c + 5. Let d(h) = -11*h**2 + 13*h - 6. Give y*d(w) - 13*o(w).\nAnswer: w**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 19*z + 33. What is the smallest common multiple of 16 and r(3)?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108495*r**3 - 97898*r**3 - 117901*r**3 - 192339*r**3.\nAnswer: -299643*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of g**9\/168 + 11*g**8\/168 - g**5\/30 + 49*g**3\/3 + 1460*g**2. What is the third derivative of b(w) wrt w?\nAnswer: 360*w**3 + 1320*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j**(-1\/2)\/j*j*j**(8\/5)*((j*j*j\/j**14)\/j)\/(j*j*(j*(j*j\/(j\/(j*j*j**(-1\/13))))\/j)\/j) assuming j is positive.\nAnswer: j**(-1797\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5b3 (base 14) in base 3?\nAnswer: 1120010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 448770 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r. Suppose -v + 2 = 18. Let o(t) = t + 24. Let l be o(v). Let y(n) = 4*n**2 + 7*n**2 - l*n**2. What is g(y(z))?\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130280 is divided by 294.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.4 (b) 2\/15 (c) -2\/15 (d) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -y**3 + y**3 - 1 - 4*y**3 + 0 with respect to y.\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - 1. Let c = 1 - a. Suppose 4*k - 38 = w, -3*k + c*w + 35 = -w. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - (-8 + 1 + -2 + 4).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 25*a**4 - 9*a**4 + 5*a**4 + (4*a**4 - 5*a**4 - 2*a**4)*(1 - 5 + 3).\nAnswer: 24*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 464743 to the power of 1\/3, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 AM and 3:50 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6 (b) -3\/2 (c) 0.118\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4717688601 to the nearest integer?\nAnswer: 1677","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*s + 4*s - 12 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - -101101110000111111?\nAnswer: 101101110000111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -22.8992?\nAnswer: -114.496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ta when two letters picked without replacement from {v: 1, w: 1, t: 1, a: 1, p: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4843 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 392290.6 centimeters in micrometers?\nAnswer: 3922906000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -70\/71 - -3919\/4047. Suppose 4*d - 11 = 1. Suppose -2*r - d = -5. Which is greater: r or j?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 12\/7, -5, 1244?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7949, -31363, -70409, -125087?\nAnswer: -195397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 13536912, 13536916, 13536920, 13536924, 13536928?\n\"Answer: 4*f + 13536908","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 191967 (base 10) in base 3?\nAnswer: 100202022220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 901594665.\nAnswer: 3, 5, 233, 28663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22727214 by -1.\nAnswer: -22727214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 1457*v**2 + 33*v - 9. Is b(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 578805 and -25.\nAnswer: 578780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*x**4\/11 + 466*x**3\/11 + 18662*x**2\/11 - 41508*x\/11 + 4896\/11 = 0. Calculate x.\nAnswer: -24, 1\/8, 2, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -37 + 29. Suppose o*k - k - 12 = 5*n, 3*n = 0. Solve 4*m - 7*v + k = -3*v, 18 = -2*m - 4*v for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 14*o**3 - 3*o**2 + 21*o + 3. Let i(p) = 224*p**3 - 49*p**2 + 336*p + 49. Let t(w) = 3*i(w) - 49*r(w). Find the second derivative of t(s) wrt s.\nAnswer: -84*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14883214 is divided by 19081?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 7 = -2*g - 3*k, 0 = g + 5*k - 7. Which is the third biggest value? (a) 2\/7 (b) g (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l = 5*l - 10. Let f(t) = -t**3 - 8*t**2 - 8*t - 10. Let i be f(-7). Let u(s) = s + 8. Let d be u(i). Sort l, d, 0 in descending order.\nAnswer: d, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 744475028 and 16?\nAnswer: 2977900112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 189313 divided by -1.\nAnswer: -189313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 80*q. Let t(j) = -8*j**2. What is t(o(c))?\nAnswer: -51200*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 32104 = -48596. Let h = -19063 + c. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9*u**2 + 5*u**3 - 5*u**2 + 13*u**2)*(2*u - u + 0*u) in the form z*u**2 + x*u**3 + s*u**4 + y*u + i and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in one fifth of a millisecond?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 77189 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -10*p - 3. Let m be q(-6). Suppose -l - 29 = -x, -5*x + m + 92 = -3*l. Calculate the remainder when x is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (312\/(-10))\/(3606\/(-225) + 16).\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 - 3*p**2 - 7*p + 33. Calculate m(0).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18266, 36623, 55094, 73679, 92378, 111191, 130118?\nAnswer: 149159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 10 = 26. Let r = f + -3. Solve -3*n - 13 = -2*p, -2*p - n + r = -0*n for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16528)\/(-74376)*99*1?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 435278, 870579, 1305878, 1741175, 2176470, 2611763?\n\"Answer: -q**2 + 435304*q - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 766 a factor of 11542088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -716.5 + 716. Which is the closest to -0.2? (a) -15 (b) y (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10539979 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -331*o - 7304 = 32458 - 42 for o.\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*s = -62*s - 7 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 669 - 644 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 684?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 6, t: 2, n: 1, i: 2}. What is prob of picking 1 n and 1 i?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13689 = 624*x + 585 for x.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13 and 176792551?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22 + -10. Suppose 4*y + f = -0*y. Let p = -0.3 - 1.7. What is the third biggest value in 1\/2, y, p?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 1:01 AM?\nAnswer: 5:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 + 13*t**2 - 8*t + 26. Let x be a(-14). Let m = 69 + x. What is the remainder when 54 is divided by m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 6945681?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*n**3 + 5*n - 4*n**3 + n - 6.\nAnswer: 2*n**3 + 6*n - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 2*z - 4. Suppose -t = y - 5, z*y + 3*t - 15 = 2*y. Suppose -3*l + 30 + 6 = y. Calculate the greatest common factor of l and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, w: 1, v: 1, b: 1, j: 1}. What is prob of sequence bwj?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*5*(sqrt(200) + (sqrt(200) - (2 + sqrt(200)))) - 6*(0 + sqrt(200) + 3))**2.\nAnswer: -5040*sqrt(2) + 88344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 28216 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o + 74*o**3 + 0 + o - 2 - 80*o**3. Give l(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (41*(-342)\/9348)\/(((-3)\/(-40))\/(8\/(-16)))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -6 (b) 3 (c) 13\/30 (d) 0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -28 - -30. Let n be 12\/v*6\/12. Suppose 0*g + 78 = 2*g + 3*k, -n*k = 5*g - 177. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -4*y**2 + 238*y - 132. Give i(59).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*p = 132 - 276 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 26111170.\nAnswer: 26111170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10003210 - -313013?\nAnswer: 10322223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20447\/8 - -2566. Let l = 20592685486\/12502305 + -2\/4167435. Let a = l - 1645. Calculate the common denominator of a and k.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + n - 81, -5*n = -z - 4*n + 14. Suppose z*r - 11976 = 11*r. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 5*c. Let y(h) = 289 + 291 - 580 + 5*h. What is 2*l(t) - 3*y(t)?\nAnswer: -5*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7467203.000006 + 7467188. Let n = -15 - b. Round n to five decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 26*q**2 - 18*q - 72. Is t(-3) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1120*u**3 + 598*u**3 + 603*u**3.\nAnswer: 81*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21\/6 - 2) + 5457\/(-102) + 35?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 11:59 PM?\nAnswer: 8:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 83*v**3 + 9*v**2 - 13*v + 2. Let f(t) = -44*t**3 - 5*t**2 + 7*t - 1. Let l(d) = 6*c(d) + 11*f(d). What is l(1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 192332265 divided by 64110755?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (93 - 94) + (4 + -4 - (0 - -2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -56, -118, -190, -278, -388?\n\"Answer: -x**3 + x**2 - 58*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(3\/4)\/c)\/c**(3\/20))\/(c\/(c\/c**(15\/4))*c**(1\/4)) assuming c is positive.\nAnswer: c**(-17\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 1. Let r = o + 5. Solve a - r = -0*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58314 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 + 17 = -n, f + n = 4*n + 18 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*x - 38 = -42*x. Let k = -104 + 270. Let s = 280 - k. What is the highest common factor of x and s?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h**2 + 64*h. Let p(d) = 43*d**2. What is u(p(n))?\nAnswer: -3698*n**4 + 2752*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 - 1. Let y(q) = -10*q**3 + 6*q**2 - 5. Calculate 6*p(z) - y(z).\nAnswer: 10*z**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 70011538 to the power of 1\/3, to the nearest integer?\nAnswer: 412","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 3 + 1)*(110*z**3 + 102*z**3 - 69*z**3) in the form l*z + w*z**2 + x + m*z**3 and give m.\nAnswer: -429","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6028.8 - -6428.537. Let c = i + -400. What is c rounded to two dps?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 140? (a) 0.5 (b) -0.5 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 96 and 448.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + 0*y + 0*y)*(-9 - 22*y**2 + 9)*(-35*y + 20*y + 16*y)*(1 - 6 + 3).\nAnswer: -44*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 70\/9 of a day?\nAnswer: 11200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2\/6 + 577*t\/6 - 2044\/3.\nAnswer: (t - 7)*(t + 584)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/15 - ((-35)\/(-75))\/(-7). Let d = -21.7 - -16.7. Which is the closest to i? (a) -4 (b) d (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 + 8*q**2 - 17*q + 5. Calculate t(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 AM and 7:08 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4648 + 4?\nAnswer: 464c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((25\/(-3))\/(-5))\/(2\/6). Let g = -54 + 69. Suppose -5*j + i + 16 + 7 = 0, 0 = j + 5*i - g. Solve -j*h + 5*n - 45 = 0, 3 = 2*n - x for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6066512?\nAnswer: 2, 379157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5\/14 + 9\/98. Which is the second biggest value? (a) i (b) -1\/2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (a**3 + 3*a - 3*a)*(-119 - 72*a + 119) - 37*a**4 - 48*a**4 + 42*a**4 in the form l*a**4 + y*a**2 + z*a**3 + f + b*a and give l.\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -50 + 9 - -35 - (-5 - -3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143) + 1*(sqrt(143) + sqrt(143) + sqrt(143)*1) + sqrt(143))\/(sqrt(11) + sqrt(176)*-1).\nAnswer: -5*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r\/((r**(-3\/7)\/r)\/r))\/r)\/r**(-2\/7))**(-2\/5)*((r*r**(-3\/5))\/r*r)\/r*r**0*r*((r\/r**(-5)*r*r)\/r*r)\/(r\/r**(2\/7)) assuming r is positive.\nAnswer: r**(31\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 + 3*q**2 - 6*q - 5. Let b be y(-4). Let l = -37 + 70. What is the highest common factor of l and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in u**4\/2 - 4415012*u**3\/3 - 67697095*u**2\/6 + 100073876*u\/3 - 29433490\/3 = 0?\nAnswer: -10, 1\/3, 2, 2943349","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-30) + 0\/1 - 184860\/(-1390500). Are 0 and b unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of ((-141286)\/123)\/((-4)\/(-10)*15\/(-63))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 17 = 3*k. Suppose -k*x + 102 = 504. Let g = 150 + x. What are the prime factors of g?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 143*d - 286*d + 39*d**4 - 2*d**5 + 147*d + (0 + 0 - d**4)*(2*d + d - 2*d).\nAnswer: -3*d**5 + 39*d**4 + 4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pzfzffzf. Give prob of sequence zfz.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*m = -37*m + 315. Solve 0 = 3*d - m + 9 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 14*r + 0 - 3*r**2 - 3 - 31*r - r**2 - 3*r**2. Let s = -2 + 5. Let n(h) = -36*h**2 - 84*h - 16. Let y(v) = s*n(v) - 16*m(v). Let y(w) = 0. What is w?\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 8) in base 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25208 = -3*c + 8*c + 2*f, -3*c + 15122 = 4*f. Let r = c + -2471. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -123 + 128. Suppose -2*l = -31 - 19. Solve -q*k + x = -l, 3*k + x + 13 = 5*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9730000 to the nearest one hundred thousand.\nAnswer: 9700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94.44252 years to months.\nAnswer: 1133.31024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22287 and 114.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 9) in base 15?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 554 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 36 = -3*z + 5*g, -5*z = -g - 5. Suppose 2*r + 2*r = z. Solve 2*y + 1 + 5 = r for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20557111397 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100 + 98 - 399 + 100 + 16*c**3 + 100*c + 101.\nAnswer: 16*c**3 + 100*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-223114)\/12364 - (-18 - 0)\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22247345 is divided by 135?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 80795418 divided by -9174?\nAnswer: -8807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2*z**3 + 10*z**2 + 4*z + 5. Let s be u(-5). Let b = 0 - s. Let c = 13 + -3. Solve -5*t - b - c = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from ikiiikikkikkiiqkkkik.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 + 16*z**2 + 2*z - 27. Let w be j(16). Find the third derivative of 28*i**5 - 4*i**2 + 0*i**2 - 12*i**w wrt i.\nAnswer: 960*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12597, 12545, 12493, 12441, 12389, 12337?\nAnswer: 12285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 1\/9 (c) -6 (d) 5 (e) -1.1 (f) 1 (g) 0.13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 18*p - 110. Let u be v(8). Suppose 3 = -4*z + 19, 2*b = -2*z + u. What is the remainder when 62 is divided by b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5279, -10546, -15811, -21074, -26335, -31594, -36851?\nAnswer: -42106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -4*p**2 + 6. Let j(g) = 6 + 2317*g**2 + 1 - 2322*g**2. Suppose 1 = 2*w - w. Suppose 2*b - 6 = 5*c, 4*c + c - w = 3*b. Give b*f(a) + 6*j(a).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 47? (a) 5 (b) -1\/4 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/10 - ((-804)\/60 - -11). Let k(t) = -59*t**2 + 2 - 2 - 4*t + 54*t**o. Let w(p) = 9*p + p + p + 14*p**2. Calculate 11*k(a) + 4*w(a).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 + p. Let x(a) = -15*a**2 + 0 + 1 - a**3 + 18*a**2 - a. Give 3*k(h) + x(h).\nAnswer: -h**3 + 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -23514.4 rounded to the nearest one thousand?\nAnswer: -24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 166290, 166307, 166354, 166449, 166610, 166855, 167202, 167669?\nAnswer: 168274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 745 != 721?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, 13, 54, 121, 220, 357?\nAnswer: 538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 24*w + 193. Let o be n(-8). What is the biggest value in 0.5, 2, -12, o?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 106833469 to the nearest integer?\nAnswer: 474","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((4836\/130)\/62)\/((-42)\/(-10))\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.73464 to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -27*d**3 + 14*d**2 - 7*d - 29. Is o(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 5*m - 5*m + m. Let p(a) = a**2 + 1. Let b(g) = 6*g**2 + 2. Let w be 3 - (-25)\/((-10)\/2). Let u(v) = w*p(v) + b(v). What is u(z(r))?\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 5) in base 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u - 3. Let i be v(3). Suppose i = -4*s + s. Let a = 219 - 218. Solve c + a = -s*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7\/30 + -1\/10. What is the biggest value in m, -3, -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of f**4\/24 - 2*f**3\/3 + 37*f**2. What is h(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - 2. Let t = -13 + 19. What is the units digit of 2 - b - t\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 4*r - 1196000 = 0, 3*r + 1738031 = 5*p + 243031. What is p rounded to the nearest ten thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/230 and -39\/335.\nAnswer: 15410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1007123 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2805345.3 rounded to the nearest 10000?\nAnswer: 2810000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 98233184947 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -372c6f (base 16) to base 10.\nAnswer: -3615855","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17.5 + 18. Which is the nearest to 0.1? (a) d (b) 5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*(q\/(q\/(q\/q**(-7))))\/q)\/q*q*q**7)\/(q\/((q*q**(-1)\/q*q*q)\/q))**(-5\/7) assuming q is positive.\nAnswer: q**(110\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*b**2 - 648*b + 329*b + 319*b.\nAnswer: -43*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4\/(-28) + -3*(-3408)\/28?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**4 + 0*r**3 + 0*r**3)*(-3*r + 0*r + r) - 15*r**3 + 24*r**5 + 15*r**3.\nAnswer: 20*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6749154, 6749153, 6749152, 6749151?\nAnswer: 6749150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -13*r - 14. Let u be o(7). Let g be (u\/28)\/((-2)\/40). Let k = -28 + g. Is 20 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 3*b + 183. What is the tens digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 - -4) + 204 - 1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -104913 divided by -4460.\nAnswer: 104913\/4460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 10 - 12)*(z + 5*z - 5*z)*(-3*z**3 - 2*z**3 - 2*z**4 + 3*z**4).\nAnswer: -10*z**5 + 50*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 4*z - 42. Let v(a) = 2*a. What is g(v(w))?\nAnswer: 8*w - 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*a**2*m**3 - 2*a**2 - 843519*a*m**3 - 2*m**3 + 5151*m**2 - m - 196 with respect to a.\nAnswer: 10*a*m**3 - 4*a - 843519*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 165, 320, 475, 630?\nAnswer: 785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -40213201341 + 2?\nAnswer: -40213201334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48 and 120?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 - 5. Let t = o + -4. Let n = 70.21 + -70.21. What is the nearest to n in -4, t, 6?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -159*s**2 + 11*s + 4. Determine v(-2).\nAnswer: -654","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -223*g - 1222 = -5459 for g.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*a - 3*b - 4, a - 7 = -0*b - b for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 0*i = 2. Suppose -44 = -5*z + i. Let x(w) = w**3 - 10*w**2 + 9*w + 8. List the prime factors of x(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 4*q = 82, -5*q + 47909 = 47919 for g.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25 - 22. Let w = -5\/2 + g. Let v = -5.3 + 1.3. Sort -1\/5, w, v, 2 in increasing order.\nAnswer: v, -1\/5, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6480984383 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 29083 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 208876639?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 - 123*w**2 - 132*w - 31739. Calculate b(-124).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2292091, 2292090, 2292089?\nAnswer: 2292088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5793902cm in micrometers?\nAnswer: 5793.902","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14782 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12560 and 32.\nAnswer: 25120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 376 = -30*m + 38*m. Suppose -m*h + 10280 = -39*h. List the prime factors of h.\nAnswer: 5, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2328 < 5370?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14 and 86188?\nAnswer: 603316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 960972*x - 4. Let l(b) = 2*b. What is v(l(m))?\nAnswer: 1921944*m - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (17 - 0) + (-10 - -14) + -12\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1289 is divided by 25.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 48 = n. Let x be (-8)\/220 + 56932\/4730. Calculate the greatest common factor of x and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/2)\/(j**7\/j*j)*j\/j**(1\/12)*j**(2\/7))**(-3\/2) assuming j is positive.\nAnswer: j**(529\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -14a + 211?\nAnswer: b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -2*u. Let g(z) = z**3 + 18. What is the units digit of g(u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 0.3, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 2 + 6 = 0. Let b = 18 + -12. Let p(o) = b*o**s - 4*o**2 + 2*o - 2*o. Let v(t) = -t. Give v(p(m)).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 279 - -1350. Suppose 3*i = -6*i + c. What is the remainder when i is divided by 61?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 123*l**2 - 38*l - 650. What is the units digit of m(-18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -176*b + 1 + 335*b + 999*b + 3*b - 4*b + 0*b - 4 + 4 - b + (4 - 3 - 3)*(-3 - 2*b + 3) + 3*b + 0*b - 2*b - 2*b + 3*b - 3*b.\nAnswer: 1159*b + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3517000 rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 + 12*s - 2. Let h be p(11). Suppose 0 = -h*i + 40 - 4. Suppose -i*d + 6 = -7*d. Which is smaller: d or -5\/3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.487 and -0.2.\nAnswer: -0.687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - 1020321202321?\nAnswer: -1020321202332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 269437 is divided by 1870.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1404798?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -6?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -22202 (base 5) to base 7\nAnswer: -4345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/15 (b) -92\/54163 (c) -0.3 (d) -2\/27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 5084?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96960.89 millennia to years.\nAnswer: 96960890","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 11) in base 2?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 110, 111, 112, 113?\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -2055*p. Let n(r) be the second derivative of -r**4\/6 - r + 472. Calculate q(n(m)).\nAnswer: 4110*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1632035967?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3210\/(-25) - 2\/(-5). Is (x\/(-24))\/(2\/21) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1754, 1454, 1078, 614, 50, -626, -1426, -2362?\nAnswer: -3446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/33, 34, 1?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4 - (-1)\/2*2. Let u = -379799\/17 + 22341. Sort b, 1\/2, u.\nAnswer: b, u, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 64706511, 64706510, 64706509, 64706508?\n\"Answer: -t + 64706512","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaiviiqvaauvavqa. Give prob of picking 1 a and 1 u.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = a - 1, -24 = 4*h - 56*a + 52*a for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-14))\/(-5*(-15)\/(-50))\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -2*t + 26. Let h = t - -1. Suppose -22*k + 102 + 32 = 2. What is the lowest common multiple of k and h?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of k**4\/3 + 29*k**3\/6 + 9*k**2 + 4*k. Suppose 2*q - 4*j + 4 = 0, 10*q + 3*j - 45 = 15*q. What is the units digit of h(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.18 - 11.18. Let k = 5.2 + y. Let a = k + 6. What is the closest to a in -3, -4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2972269.\nAnswer: 2972269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4913587*t + 4913586*t - 6*c + 2*c = 13, -60*t = c - 176 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*s**5 + 37*s**4 + 5*s**2 - 37*s**4 wrt s.\nAnswer: 420*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9\/(-27) - 2\/3. Let k = 1 - z. Sort -4\/9, -2\/15, 1, k in ascending order.\nAnswer: -4\/9, -2\/15, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6915392 and 470?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10079 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2223185 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k**(2\/5)\/k))\/k)**(-3)\/(k\/(k**(1\/2)\/k*k))**24 assuming k is positive.\nAnswer: k**(-69\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2*m**2 + 7*m**4 - 19*m**4 + 10*m**4 to d*m + h*m**2 + s + y*m**4 + c*m**3 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of 5*q**4\/12 - 2*q - 1042. Let i(l) = -2*l + 0*l + 3*l. Give m(i(y)).\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -1558 + 326*a**2 + 1558 in the form d*a**2 + n + p*a and give d.\nAnswer: 326","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add -1090.9 and -4.\nAnswer: -1094.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + b + 4)*(7837*b**4 - 5065*b**4 + 4432*b**4).\nAnswer: 7204*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -36*w + 27. Let u be n(0). Suppose 7*r - 4*r + 3*q - u = 0, 5*r - 38 = 2*q. Solve -4 = r*c - 4 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 + 5*l**2 - 9*l + 2. Let b(m) = 2*m**3 + 10*m**2 - 19*m + 5. Let j(c) = -6*b(c) + 13*x(c). Let z be j(-5). Is z at most 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d**(-2\/69)\/d))\/(d\/d**7))**45)**(2\/11) assuming d is positive.\nAnswer: d**(16620\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4816665 is divided by 1732.\nAnswer: 1705","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - -7.3. Suppose 67*j - 62*j = 35. What is the smallest value in 0.1, j, k?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (14\/((-490)\/345))\/((-520)\/(-7)) and -45\/88?\nAnswer: 5720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/13 - (62\/(-465) + 113108\/(-390)). Calculate the highest common factor of 70 and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432) + sqrt(432) + -1*(sqrt(432) - (sqrt(432) - (sqrt(432) + -2*sqrt(432)))))\/(-1*sqrt(4)*2*-5)*-5.\nAnswer: -9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -333 + 229 = 104*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1965 times -126.656\nAnswer: -248879.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**2\/7 - 125116*b\/7 + 978375841\/7.\nAnswer: (2*b - 31279)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-4))\/(18 + (-555)\/30)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -7*b**3 + b**2 + 5*b - 4. Let u(f) = 20*f**3 - 3*f**2 - 14*f + 11. Let n(k) = -17*p(k) - 6*u(k). Calculate the least common multiple of 2 and n(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3024\/5040)\/(23\/(-10) - -3).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/(k*k*k\/(k*k**(1\/4)*k)*k))\/k*k\/(k*k**(-8)))\/(k**11\/(k**8\/k)))**18 assuming k is positive.\nAnswer: k**(81\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 1.5. Let s be (-24)\/(1 - -5)*(-9)\/14. Let y = s - 68\/21. Which is the second biggest value? (a) z (b) y (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -314, -1249, -2808, -4991, -7798, -11229?\n\"Answer: -312*m**2 + m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/2)\/(176\/(-440)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*l + 30 - 20 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add 335.2 and 3968.5.\nAnswer: 4303.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 14) to base 10\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 - (-64 + (-33 - -45))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1768 - -2542. Does 18 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 237?\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 36756678.\nAnswer: 1\/36756678","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -5*n**2 + 2*n**2 - 3*n + 7*n**2 - 2*n - 4. What is the units digit of w(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r**5 + r**5 + 7*r**5 + (-5*r**2 - 16*r**2 - 15*r**2)*(r**3 - 2*r**3 + 2*r**3).\nAnswer: -31*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1263 - 1236) + -1 + -25 + 0 + -71 + -2?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 149 - 145. Let c(q) = -q**5 + 3*q**3. Let o(j) = -5*j**5 + 16*j**3. Let y(w) = i*o(w) - 22*c(w). Suppose y(d) = 0. Calculate d.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7010 (base 8) to base 11\nAnswer: 2776","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50 (base 9) to base 3.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 6*s - 3*s = 11, s - 7 = -2*o. Suppose 0 = 7*w - 12*w - o. Let r be (-85)\/119*(-2)\/(-5). Does w = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c**2 + 3 - 1 - 3 + 73*c + 14*c**2 - 73*c - 7 + 7 + c**2 + (-1 - 2*c + 1)*(c - 5*c + 2*c) + c**2 - c**2 + 2*c**2 to x*c + g + v*c**2 and give v.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 529 divide 10996323?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -61019, -61031, -61067, -61139, -61259?\nAnswer: -61439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-3\/7))\/(i*((i*i*i**(2\/15)*i)\/i)\/i))\/(i*i*i**2*i**6)*((i\/(i*i\/i**(4\/3)*i*i))\/i**(1\/2))\/(i*i**(-2\/7))**(1\/3) assuming i is positive.\nAnswer: i**(-419\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 0*y + y)*(-3*y**4 + 3*y**4 + 35*y**4) + (6*y - 3*y - 2*y)*(4*y**4 + y**4 - 2*y**4).\nAnswer: -32*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 61 + 133 = 5*l, -20 = -5*c. What is the remainder when l is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 99 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7006 + 16043. What is the hundreds digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3670437 is divided by 60?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*p + 6 = 58*p. Suppose 0 = -t - 3, 317 = p*k + 2*t - 9971. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/15, -0.4, -15, 0.1, -1\/54?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of 0 - 14*v**2 - 12*v + 1\/3*v**3. Let x be q(16). Solve 0 = x*b - p + 9, 0 = -b + 3*p - 4*p - 6 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2 + 0)*(11*x**3 + x + 296 - 296) as r*x**2 + t*x + p + j*x**3 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 43 - 241*l**3 + 135*l**3 - 21 - 21 - 183*l**3 + 68*l**2 wrt l?\nAnswer: -1734","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25 is divided by (2 - (-4)\/(24\/9))*2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dzz when three letters picked without replacement from dzdzdzddddddddzzdd?\nAnswer: 65\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m - 6. Suppose 4*h - 34*h - 180 = 0. Let w(l) = 8*l + 49. Determine h*w(t) - 51*s(t).\nAnswer: 3*t + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67565 is divided by 412.\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 87*f**3*j**2 - 19*f**3 + f**2 + 10*f*j**3 - 48*f + 6*j wrt j?\nAnswer: 174*f**3*j + 30*f*j**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26 + -2 + (-10 - 1) - (-5 + 1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -2*f**3 + 27*f**2 + 16*f - 21. Let i be z(14). Suppose 2*g - i*g + o = -25, -2*g + 10 = 5*o. Solve 5*q - 6*q = -g for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/(-1))\/((-700)\/600)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 + 2*v + 1. Let o(g) = -38*g**3 + 10*g + 11. Let j(i) = -o(i) + 5*p(i). Differentiate j(r) wrt r.\nAnswer: 129*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 3309*y - 1588320. Calculate g(480).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120*g - 261*g + 139*g.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 8 = 2. Let r(m) be the second derivative of m**4\/12 + m**3\/6 + m**2\/2 + 50*m. What is r(q)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (-3 - 7) - (19 - 7 - 8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -0*j - 3. Let d(f) = f. Let n(b) = 6*b. What is j*n(h) + 14*d(h)?\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqgxxxgxxxxx. Give prob of picking 2 x.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 1093.4 to the nearest 10.\nAnswer: 1090","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d**2 - 2*d**2 + 3*d**2)*(d**3 - 5*d + 5*d) + (-3*d**3 - d**5 + 3*d**3)*(3 - 4 + 0).\nAnswer: -2*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5477.506km?\nAnswer: 5477506000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zv when two letters picked without replacement from zzzzvzzzvzzvvzzzvz?\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2724 and 1?\nAnswer: 2724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7477 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 521 + -237. Round q to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-22) - -18*(-294)\/(-693)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 11) in base 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -50 - -50.042. Let a = v - -38.958. Let s = a - 39.8. Which is greater: -0.1 or s?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4\/3, -0.2, 0, 1\/7, 5, -1833?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 8 = -0*h + 3*f, f + 6 = 5*h. Sort -3, 1, h in descending order.\nAnswer: h, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 11*n**3 - 11*n**4 - 27*n**2 - 14*n**3 - 5*n - 5 - 6*n**3 = 0. Calculate n.\nAnswer: -1, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 193448436 a multiple of 1158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25121 is divided by 11772?\nAnswer: 1577","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (-14 + -12 + 35)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*f, -4*t + 7*f = 3*f - 32. Suppose -k + t = 2*k. Suppose -3*c + 50 = k*c. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 27*a**2 + 7*a + 22. Suppose 0 = z + 7 - 2. Let p(d) = 18*d**2 + 5*d + 15. Let h(s) = z*i(s) + 7*p(s). Find the first derivative of h(x) wrt x.\nAnswer: -18*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.3 (b) -1\/3 (c) 0.3 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*b + 0*b**2 + 9*b**3 - 5*b**3 + 0*b**2 as f + g*b**2 + z*b + v*b**3 and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 726 - 532\/3*f**2 + 6*f**4 - 10*f**3 - 1\/3*f**5 - 11*f = 0.\nAnswer: -3, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1333122 - 13?\nAnswer: 1333103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.72 times 3?\nAnswer: -2.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3321121 (base 4) to base 13\nAnswer: -735a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 42174.47 millennia in years?\nAnswer: 42174470","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ieeeeeieiei. What is prob of picking 4 e?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -73, -74, -75, -76, -77, -78?\n\"Answer: -y - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hyyyhhhyhyhyhyhhyhhz. What is prob of picking 1 h and 1 z?\nAnswer: 11\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -4*y + 2. Solve 0*r - 4 = -y*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3 - 18*z**2 + 216.\nAnswer: -2*(z - 3)*(z + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 + 2 + 243*y - 3 - 119*y - 120*y. What is b(5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -5*w - 945307, -4*p - 3*w + 945298 = -5*w. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -80*a**2 - 473*a - 1032. Give l(-2).\nAnswer: -406","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 2*f + 3 = 0, 0 = -8*y + 3*y + 3*f + 24 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 281481 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 575 and 115?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 0 = -6*p. Let s be ((-156)\/18 + p)*(-2 + -47548). Round s to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7782201 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 405?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 147*n**4 - 691658730*n**3 + 813591296915871*n**2 + 464909481909180*n + 66415648338732 = 0.\nAnswer: -2\/7, 2352581","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express g**3 + 29*g**3 + 3463*g - 35 - 3465*g + (0*g**2 - g**2 + 2*g**2)*(0*g - 4*g + 3*g) - 2*g**3 - 7*g**3 - 2*g**3 as c*g**3 + r*g + q*g**2 + j and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 3135*a**2 + 30*a - 32. Let l be h(1). What is l rounded to the nearest 100?\nAnswer: 3100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (32 - -2) + 19 + 22 + -43\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 42\/5 of a hour?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10467.\nAnswer: 3, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 9*b**3 - 39*b**2 + 42*b - 6. Let k(o) = 18*o**3 - 78*o**2 + 83*o - 13. Let a(m) = 5*j(m) - 3*k(m). Solve a(t) = 0.\nAnswer: 1\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(40\/8880*6)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (8 - 4) - -2 - 11 - -13.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 174 is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 10:40 PM?\nAnswer: 11:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1401.30072 and 703.\nAnswer: -698.30072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -49, 2\/9, 2\/3, 0.5, 4, -1.405?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -37.92 * 1.159\nAnswer: -43.94928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3*((-2)\/(-3))\/(-1)*2. Solve -3 = y*p - 7 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 7*h**2 + 27*h + 42. Let t be -2 + 2 - 42*1. What is the smallest common multiple of 4\/(-3)*t\/4 and l(-2)?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 126076 and 733.\nAnswer: 733","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.748 to one dp.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4, -0.024, 1, 1\/4, -0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4*3*(-46)\/(-69))\/2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 81765.2?\nAnswer: -163530.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 298543 - 288*k + 1281*k - 298543 + 327*k to the form j*k + f and give j.\nAnswer: 1320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 3090211?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131*p + 143424 = 475247. What is the remainder when p is divided by 181?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1763 + 1676 + (62 - 1).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1\/18 - -4\/9. Solve -p*f**4 + 0*f - 1\/2 + f**2 + 0*f**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 5*i = -937 - 453, -4*i = 5*c - 1758. Let d = c - 327. List the prime factors of d.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*l**2 + 20*l**2 + 20*l**2 + 21*l**2.\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3877 + -3873. Let p(s) be the first derivative of 0*s**3 + 3\/2*s**2 + 11 - 3\/2*s**a + 0*s + 0*s**5 + 1\/2*s**6. Factor p(f).\nAnswer: 3*f*(f - 1)**2*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 PM and 1:55 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 182, 384, 596, 794, 954, 1052, 1064, 966?\nAnswer: 734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 + 17. Suppose m = q*m. Suppose m = 9*b - 10*b. Put 4, 1, b in descending order.\nAnswer: 4, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 2\/3, 40\/19, -2?\nAnswer: 40\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -r + 3*t - 8, -r + 6 - 8 = 3*t for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 AM and 11:34 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xynooddp. What is prob of sequence pno?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -23*q - 38. Let g(w) = -8*w - 13. Let x(j) = -17*g(j) + 6*h(j). Let l be x(-5). Let a(d) = d. Let k be a(2). Is l < k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 19 in 2\/3, 1, -44, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) - (-1 + sqrt(3)))*2 + sqrt(192) + 1 - ((sqrt(363) - (-5 + (sqrt(363) + sqrt(363) + (sqrt(363) - -1*sqrt(363)) - sqrt(363)))) + -2))**2.\nAnswer: 2700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is 16641057 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 - (3 + (1 - 3)). Let t be (-30 - 0)*2\/b. Let g = -21 + t. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16738.\nAnswer: 2, 8369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -11.710277182 and -11?\nAnswer: 0.710277182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, u: 5, g: 7, l: 2, a: 2}. Give prob of sequence bgg.\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 37667 = 5*x, 5*o - 24*x + 20*x = 188335. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 3\/7 (c) -3\/11 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 506769, 506794, 506855, 506970, 507157, 507434, 507819?\nAnswer: 508330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*d + 482638 + 364130 = 0. What are the prime factors of d?\nAnswer: 2, 23, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 32131 + -18960. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 8) to base 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 + -14. Let d(x) = -x - 7. Let m be d(c). Is -3*(370\/3)\/m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.2 + -18.6. Let b = -22.8 - t. Put b, -0.1, -43 in decreasing order.\nAnswer: -0.1, b, -43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14503032 + 30?\nAnswer: -14503002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 5*t + 1. Let x be q(2). Let r = -1570 + 1571. Let s(i) = 12*i + x*i - r - 21*i. What is s(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of -5*b**4\/6 + 31*b**3\/2 + 11*b**2. Let f be y(4). What is the greatest common divisor of 403 and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1383 = 2073*j - 805 + 115 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 = 7*b - 5 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.650328 decades in centuries?\nAnswer: 0.0650328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - 1 - -23)\/1. Calculate the highest common divisor of 44 and d.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + n - 14 = 0, 3*w - 3 = 9*n - 6*n. Find t such that -90*t**4 + 14773*t**2 + 375*t**w + 35*t**5 - 130*t**4 - 14863*t**2 = 0.\nAnswer: 0, 2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 4*h**2 + 627*h + 9038. Calculate l(-16).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 3120*p - 3122*p for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 times 42.321?\nAnswer: -465.531","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, x: 3, d: 1, z: 2}. Give prob of sequence xxj.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 28475369 to the power of 1\/2, to the nearest integer?\nAnswer: 5336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 15 + 20 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 48888722?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (-7 - -3) - 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -6*y - 15. Let v(b) = -5*b - 15. Let h(j) = 3*c(j) - 4*v(j). Let q(i) = -i - 8. Determine -4*h(f) - 7*q(f).\nAnswer: -f - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -860? (a) 2 (b) -0.3 (c) -292\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2983 - -2991. Solve c*j = 13*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3897.6 - 3896.6. Sort -4.2, n, -17 in increasing order.\nAnswer: -17, -4.2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30 and 4170.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 4:40 AM?\nAnswer: 12:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -9 + 1 + 11 + -3. Solve 4*u - 7*u - 4*g - 6 = d, 0 = -5*g for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -16, 16, -6, 2, 4 in ascending order.\nAnswer: -16, -6, -4, 2, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 237*x**2 - 2800*x + 8090. What is u(5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 430*f**2. Let x(h) = 2230*h**2 + 3. What is x(y(a))?\nAnswer: 412327000*a**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 937317.\nAnswer: 3, 397, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 208 and 128?\nAnswer: 1664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - (sqrt(2) + -1)*4)**2 - (sqrt(2) + 0 + -1).\nAnswer: -25*sqrt(2) + 35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a**(-2\/3)\/a)\/a*(a\/((a**(-7\/3)\/a)\/a))\/a*(a**(-4\/19)\/a)\/(a\/(a\/a**33)))**(-3\/2) assuming a is positive.\nAnswer: a**(1741\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, f: 2}. Give prob of picking 2 n and 1 f.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 111*a**3*d - 41039*a**3 + 28*a**2*d wrt d?\nAnswer: 111*a**3 + 28*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + -2222?\nAnswer: -2224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 733.\nAnswer: 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 PM and 2:43 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = c + 4. Let r = c - -39. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - -18) + 5 - (-2 + 9 + -1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -6*j**3 - j**2 - 2*j + 2. Let d be x(-2). What is the highest common divisor of d and 125?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3*n + 2*n + 2*n)*(2 + 3 - 3) + (10 - 15 - 10)*(3 - 3 + 2*n))*(59 - 39 - 46*n + 51*n)*(2 + 3 - 6) to q*n + x + p*n**2 and give p.\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -4*w - 2. Let r(k) = -163879*k - 163860*k + 327695*k. Determine r(i(g)).\nAnswer: 176*g + 88","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-14)\/(-10) - (2 + 0). Suppose 126*m = 134*m - 80. What is the smallest value in f, -1, m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -3*b + 7*b - 3*b + 1. Let w be m(-1). Solve 2*x + 2*x + 4*t + 24 = w, 0 = 5*x - 5*t for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 6 = -3*a, 29*a - 26 = -3*i + 34*a. Let b(x) = 4*x**2 + 3*x + 6. Give b(i).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -4*u - 1. Let m be r(-1). Let f be 81\/9*(-2)\/(-6). Suppose 3*s = -2*j + 5 + 11, -5*s - f*j + 25 = 0. Solve -s*w = m*w + 20 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oor when three letters picked without replacement from oorooor?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**5 - 35*a**4 - 50*a**3 + 10*a**2 + 55*a + 25.\nAnswer: -5*(a - 1)*(a + 1)**3*(a + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 divided by 12258.\nAnswer: -2\/2043","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d**4 + d**4 - 3*d**4)*(2 - 2 - 2*d) + 2*d**5 - 3*d**5 - d**5 - 19*d**3 + 19*d**3 - d**5 + (-16*d + 6*d - 6*d)*(-2*d**4 - 1 + 1).\nAnswer: 33*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 2*s**3\/3 - 2787266*s**2\/3 + 22298024*s\/3 - 11149000 = 0.\nAnswer: 2, 6, 1393625","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -2*m + 22. Let c be v(7). Suppose c*s = -9 + 41. Differentiate 8*i + s*i - 14 + 33 wrt i.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 121391459, 242782920, 364174381, 485565842, 606957303, 728348764?\n\"Answer: 121391461*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 1030 divide 2644774260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27.752 - -28. Let b = 0.3135 - m. Let h = b - 0.06. What is h rounded to three decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -49*w**3 - 2*w**2 + 3. Let y(i) = -244*i**3 - 11*i**2 + 16. Give 11*f(z) - 2*y(z).\nAnswer: -51*z**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 25315647 * 0.2\nAnswer: 5063129.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 + 26*o + 23. Let a be r(-11). Let l = a - -53. What is l rounded to the nearest 10?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.5 - -0.64. Round z to 2 decimal places.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26 - -32. List the prime factors of 2\/f + (-38)\/(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z. Let s be j(2). Suppose -l - s*g + 99 + 216 = 0, -2*l + 640 = 3*g. Let d = 820 - l. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 128 - 111. Let u be 2\/9 + 655\/9. Let t = u - v. Is 9 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 0 + 8\/3*v**3 - 20\/3*v**2 + 4\/9*v**4 + 32\/9*v = 0.\nAnswer: -8, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-69)\/((-897)\/52) + 22?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 12097664?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.41046299 rounded to 1 decimal place?\nAnswer: -8.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -312 + 1074. Let v = i + -761.5. Which is the fourth smallest value? (a) 3\/8 (b) -4 (c) 55 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*s**3 - 2*s**3 + 2*s**2 - 2*s**2.\nAnswer: 6*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 + 3*s**2 + 3*s + 2. Let h(t) = -t**3 + 5*t**2 + 3*t - 6. Suppose 4*g - 15 = 5. Let v be h(g). Let r be (-2)\/v - 50\/18. What is f(r)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 35933700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 + 9*l - 4. Let z be v(8). Suppose 0 = -0*x + z*x + 44. Let y = x + 17. What is the smallest common multiple of y and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-13)\/117*(0 - (-9)\/1). What is the closest to 49 in 5, 0.08, o?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -18 < -900\/53?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 - 6*a**2 + 3*a - 7. Let f(b) = b**3 + 5*b**2 - 2*b + 6. Let w(d) = -3*f(d) - 2*i(d). Suppose 0 = -2*k + k + 4. Let v = k - 7. Determine w(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwuwuw. What is prob of picking 1 w and 2 u?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24565218 or -24565217?\nAnswer: -24565218","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of 8*x**3\/3 - 5*x**2 - 7*x. What is the units digit of q(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uooo when four letters picked without replacement from ubttbbbobbotot?\nAnswer: 1\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -344136*g**2 + 4*g**3 + 344136*g**2.\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**16\/d**(1\/9) assuming d is positive.\nAnswer: d**(143\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {v: 11, c: 1, q: 1, t: 2}?\nAnswer: 11\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3952*g*u*z**2 + 228*g*u*z - 4*g*z**2 + 2*g*z + 7*g + 131*z**2 + 2 with respect to u.\nAnswer: -3952*g*z**2 + 228*g*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (108\/(-45))\/((-2)\/(-5)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2*p**3 + 2*p + 2. Suppose 7*o = 3*o - 8. Let a(y) = y + 9. Let t be a(0). Let f(n) = -8*n**3 + 8*n + 9. Calculate o*f(u) + t*m(u).\nAnswer: -2*u**3 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)\/sqrt(9) + -2 + -2 + sqrt(17)*-1)**2 - (sqrt(187)*-2*-6)\/(sqrt(88)\/(sqrt(32)\/sqrt(4))).\nAnswer: -12*sqrt(17) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(130)*1 - sqrt(130)) + sqrt(130))*5)\/((sqrt(70) - 2*sqrt(70))\/sqrt(7)).\nAnswer: -5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -360628 - 182772 = -130*q. Is q a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -101050, -101025, -100974, -100885, -100746?\n\"Answer: 2*o**3 + o**2 + 8*o - 101061","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-14) + 60\/(-28). What is the third smallest value in 0, g, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1377) - sqrt(1377)*1) + 5)*5 + 2)**2.\nAnswer: 729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-253 + 76 - 80)*(-f - 9*f - 10 + 12) as a*f + d and give d.\nAnswer: -514","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - i + 2*f = -127, -2*i = f - 49. Suppose 0 = -2*l + l + i. Let o = -9 + l. Calculate the remainder when 47 is divided by o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 221044 - 421?\nAnswer: 220223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -2. Suppose t - 2*t + 3 = 0. Suppose 8 = -7*w + t*w. Put w, 5, g in ascending order.\nAnswer: w, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ha when two letters picked without replacement from {h: 11, a: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-5) + 2\/(-10). Suppose -3*i = 5*y - 20, x = -y + 1 + 3. Solve i = -7*h + 2*h + 20 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 + 15*z**2 + 17*z - 12. Let b be g(16). Suppose 9*o - 235 = b*o. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109*q + 119*q = 9860. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, -4, 1, 1476.\nAnswer: -4, -3, 1, 2, 1476","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 952398 and 52911.\nAnswer: 952398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1263654?\nAnswer: 2, 3, 7, 3343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, x: 10, d: 2}. Give prob of sequence xxp.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -92*g**3 + g**2 + 13*g + 13. Determine l(-1).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 - 9*b + 7. Let k be z(7). Let l(v) = v + 10. Let y be l(k). Let c(p) = p**3 - p**2 - 3*p + 2. Let g be c(2). Sort 4, y, g in increasing order.\nAnswer: g, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3 (b) -15 (c) 1 (d) -117 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 10*q**2 - 2*q - 2. Let w be v(-1). Suppose j - w = 2. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**3 + 93*h**2 - 7866*h.\nAnswer: 3*h*(h - 38)*(h + 69)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 174\/3811907 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -u**5\/4 - 3*u**4\/2 + 10*u**3 + 60*u**2 - 36*u - 216 = 0.\nAnswer: -6, -2, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*x**4 + 4*x**4 + 4*x**4 + (-3*x + 5 - 5)*(x**3 + 0 + 0) + (-2 + 2 + x)*(6*x**3 + 14 - 14).\nAnswer: 5*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 8:26 PM?\nAnswer: 6:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/7)\/n**(2\/7))**(-5\/9) assuming n is positive.\nAnswer: n**(20\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 219 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7.4 + -7. Which is the biggest value? (a) 1 (b) -3\/2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 3 = 12. Suppose -2 = -f + 1, q - p = -2*f. Suppose 5*x - 39 + q = 0. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2*j**3 - 210*j**2 - 428*j - 148. Calculate w(107).\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3828170 to the nearest integer?\nAnswer: 1957","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -3*w + 0*w - 3*w + 3*w. Let y = -67 - -71. Let q(x) = x - y*x - x - 2*x. Give q(s(i)).\nAnswer: 18*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 92369146 divided by 4?\nAnswer: 46184573\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4280 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -a + 6*a, 5*x - 5*a = 80. Let h be (2 - -1 - x\/3)*5. Sort 6, h, 5 in increasing order.\nAnswer: h, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y - 3. Suppose 5*j - 4 = 3*j. Let z(p) = -2*p - 2 - p + j*p. Let m = 228 - 223. Determine m*z(f) - 4*l(f).\nAnswer: -f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 5 - v**2 - 2 in the form q + d*v**2 + j*v and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1*(-1401)\/6*2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 54486.70168 to the nearest one hundred.\nAnswer: 54500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c - c - c)*(21 - 5*c**4 - 21 + (784 + c**2 - 784)*(-4*c**2 - 3*c**2 + c**2)).\nAnswer: 22*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 + 3*x - 7. Suppose -2*n = -t - 3, -3*n + 0 = 3. Let b be a(t). Solve q + b = 1 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -16 in -0.14, 0.02, 0?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*p - 18*p = -280. What are the prime factors of p?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 - q - 5. Let c = -55 - -124. Suppose -3*j + c = 4*y, -y + 2*y = 2*j - 57. Calculate the least common multiple of j and l(5).\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = -9878\/104933?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 4312*m**3 + 54*m**2 - 52*m - 3. Does 17 divide k(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 116*k - 535. Is a(21) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1301310110 + -2?\nAnswer: -1301310112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 3*n + 4. Let c be o(5). Let z(k) = -k**3 + 13*k**2 - 15*k + 18. Let m be z(12). Let j = c + m. Is j greater than or equal to 2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 7*j**2 + 99*j + 161. Calculate w(-14).\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(0 + (6\/(-3))\/(-4)). Let w be (13 + 2)\/3 + c. Calculate the highest common divisor of w and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2310 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-13 + -2) - (3 - -6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 - 4*s - 3. Determine r(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (0 + (-1)\/(-2))*360\/(46 - 26)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2\/528781 - -776779271\/4759029. Let b = a + -163. What is the closest to b in 3, -2\/7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 (base 7) in base 8?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - (-1 + 0))\/1. Suppose -2 - 4 = -g*t. Find the third derivative of t*z**2 - 3*z**2 + 4*z**2 + 5*z**6 wrt z.\nAnswer: 600*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.8 - 1.4. Let x = -24.653 + 27.223. Sort x, -2, l, 2\/13.\nAnswer: -2, 2\/13, l, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*q**3 - 8*q**3 - 19706*q - 2 + 2 + 32983*q - 13277*q - 2*q**3.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 52, 105, 158, 211, 264?\nAnswer: 317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 + 19*k - 41. What is w(17)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 39*d = -86. Solve 5*v + 10 = -0*v + d*b, 2*v = b - 5 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, 8, 1 in ascending order.\nAnswer: -5, -3, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.013269865 - 933493?\nAnswer: -933492.986730135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -4 + 2 - (-17 - -17)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 - 4*t + 4. Let f be r(2). Let y(d) be the second derivative of -1\/9*d**3 + 0*d**2 + f + d + 1\/36*d**4. Let y(i) = 0. What is i?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 182345 is divided by 428?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 99 - 98.9. Which is the fourth biggest value? (a) -18 (b) -3\/4 (c) p (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51581 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1b (base 12) to base 5\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 565*j**2 - 47462*j + 195. Calculate l(84).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.29 times -52043?\nAnswer: 639608.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(-1\/3)*n)\/n**0)**(-1\/61)*((n**(-2\/3)\/n)\/(n*n\/n**(2\/17)*n))\/(n*n\/(n*n\/((n*n*n\/(n*n*n\/n**(-1\/3)*n))\/n)*n*n))**(-19) assuming n is positive.\nAnswer: n**(-270410\/3111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = -2*h - 21, 4*g = -5*h - 65 + 95 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, e: 3}. Give prob of sequence qe.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10319870 and 230?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1193*v**2 + 7654*v.\nAnswer: 2386","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 5*s - 35 - 3, -5*k + 40 = 5*s. Solve -m = 3*d + m + s, 5*d - 4*m = 3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 2:57 AM?\nAnswer: 9:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of o**7\/42 + o**6\/6 - 5*o**5\/12 - 135*o**2. Factor d(a).\nAnswer: 5*a**2*(a - 1)*(a + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/3)\/((-26)\/117). Which is smaller: -1 or r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 640.0605 seconds?\nAnswer: 640060.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 2*q - 0*v - 2*v, 0 = 5*q - 4*v - 110. Let l = 71 - q. What is the remainder when l is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -83*i**4 + 99*i - 133*i + 4 - 4 wrt i?\nAnswer: -996*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 278 divide 10505620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 20\/(-6) + (-5)\/(-15). Suppose 3 = -3*x + 15, -4*x + 4 = -4*h. Calculate the least common multiple of h and g - -2 - 2 - -31.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-5*(sqrt(220)\/(1*sqrt(11) + sqrt(11)) + -5 + (sqrt(5) - (sqrt(80))**2*5)) + 5).\nAnswer: -50*sqrt(5) + 10150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-162)\/891 + (84\/220)\/1\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2, 23, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -7*m + 25. Let w(z) = 2*z**3 + 19*z**2 - 52*z + 16. Let y be w(2). Calculate q(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15673 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that c**5\/2 - 3892*c**4 + 69880*c**3 + 108805*c**2 - 1257921*c\/2 - 663993 = 0.\nAnswer: -3, -1, 3, 19, 7766","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 11*c + 1 + 28*c to q*c + i and give q.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.13 - -0.01. Let w = 4.18 + -4. Let m = a - w. What is the nearest to 0 in -0.2, m, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -124 - 23. Let v = -146.9998955 - h. Round v to 5 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0304*1.\nAnswer: -0.0304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -188294 or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 436*c - 427*c - 900 = 0. Calculate the smallest common multiple of 68 and c.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -41 + 241. What is the highest common factor of 80 and g?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of 71*f**6\/2 + f**3 - 70*f - 269. Find the third derivative of x(c) wrt c.\nAnswer: 12780*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 765041 to the power of 1\/4, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4066*n**3*t - 297*n**3 + 2*n*t - 10 wrt t?\nAnswer: -4066*n**3 + 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 572 is divided by 144.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*y + 39*y = 168 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of 11*r**7\/15 + r**5\/60 - r**4\/6 + 2287*r**3\/3 + 3*r**2 + r + 252. Differentiate q(l) wrt l.\nAnswer: 616*l**3 + 2*l - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -27\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m - 4*m + m**3 + 11*m.\nAnswer: m**3 + 9*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 6053 - 2479 = 0. What is the highest common factor of d and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -596 + 2433\/4. Calculate the common denominator of f and -89\/14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 19826, 19818, 19806, 19790?\n\"Answer: -2*o**2 - 2*o + 19830","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8083887 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 + 17*m**2 - 24*m - 81. Calculate the remainder when 116 is divided by x(15).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 24072 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 4*q - 10 = 0, 4*y + q - 8 = 3*q. Suppose -3*l + 32 = -4*j, -4*j - 12 = -0*j + y*l. Put -9, j, -1\/4, 3\/5 in descending order.\nAnswer: 3\/5, -1\/4, j, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/3 - 10\/29. Let c = 0.070138 + 0.429862. Put -2\/9, i, c in ascending order.\nAnswer: -2\/9, i, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4572100 rounded to the nearest ten thousand?\nAnswer: 4570000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -0.2 (c) 2 (d) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*k**2 + 2 - 4*k**3 + 4*k**2 wrt k.\nAnswer: -12*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10\/(-25) - 38\/(-70). Let t be 1070\/(-1008) + -1 + 2. Let o = -4\/63 + t. Which is the biggest value? (a) -0.4 (b) x (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -6 + -2 - (-20 + (-4 - 7) + -3)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (1*(0 + sqrt(153) + -2 - ((sqrt(153) - (sqrt(153) + (sqrt(153) - -2*-2*sqrt(153)))) + sqrt(153)))*-1 + -2)**2.\nAnswer: 1379","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 35212 - 17217. What is the ten thousands digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/8 + 15\/(-100). Let g(j) = -190*j - 9314. Let z be g(-49). What is the nearest to 1\/5 in 4, z, -0.19, c?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 times -1796?\nAnswer: -82616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 62899?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 440 (b) 0.1 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-3\/7)*z)\/(z*z**(3\/4)\/z*z)*z**(-2\/19)*z**(-12\/5) assuming z is positive.\nAnswer: z**(-4859\/2660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (27\/(-18))\/((-63)\/24)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3239 equal to -3242?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 + 8*f**2 + 2*f - 1. Suppose -2*c = 5*q - 28, -4*q - 3*c + 27 = q. Is b(q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 15*d + 15. Let s be l(11). Let n = -168 + s. Calculate the greatest common factor of 3 and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, 15, 28, 47, 72?\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 - 28*s**2 - 3*s + 7. What is n(-28)?\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-104)\/28)\/(6\/(-42)). Let i(v) = v + 9. Let x be i(4). What is the highest common factor of x and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 + 7*j**2 - 11*j + 12. Let c be q(6). Let n be (-5 + 1)*9\/c. Solve -6*f + n*f - 4 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1610, 1611, 1612, 1613?\n\"Answer: g + 1609","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18.84 - 0.16. Let h = 14979 + -14998.166. Let s = h - c. What is s rounded to 2 decimal places?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*u**2 - 23*u**2 - 20*u**2 + 9*u - 22*u**2.\nAnswer: u**2 + 9*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, -237\/8, 2\/11, -0.2 in decreasing order.\nAnswer: 2\/11, -0.2, -2\/5, -237\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 778934.6ml in litres?\nAnswer: 778.9346","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15235, -30670, -46105, -61540, -76975, -92410?\nAnswer: -107845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 - -1656.99182?\nAnswer: 1798.99182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*a**3 - 3*a**2 + 3*a**2 + (-2 - 2*a + 2)*(-a**2 + a**2 + a**2) + 7*a**3 - 4*a**3 + a**3.\nAnswer: 7*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0051838467 rounded to 5 dps?\nAnswer: -0.00518","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/(0 - (-5)\/2). Suppose m = 2*y - 7 - 32, 0 = -r*m + 2. Let c(s) = -y + 20 + 6*s + 0*s. Let w(n) = -3*n**2. Give w(c(j)).\nAnswer: -108*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 67885474, 67885477, 67885480, 67885483?\n\"Answer: 3*j + 67885471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -49 - -46. Let m(i) = -i**2 - 13*i - 17. Let f be m(-12). Suppose -4*h = 9 + 7. Which is the second biggest value? (a) l (b) h (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.8 + -4. Let l = 0.64 - -5.16. Let o = l - 5. What is the smallest value in n, 3, o?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.03292 - 2.03292. Sort -0.02, -1\/3, v.\nAnswer: v, -1\/3, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (680\/(-272)*342\/(-10))\/((15\/2)\/5).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4973 + 5357. Calculate the lowest common multiple of j and 32.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -121*r + 705. What is the hundreds digit of y(-15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 265874?\nAnswer: 2, 7, 2713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by -32.\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 5*d + 96. Is u(19) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 600 - 597. Let x(p) = p**2 - 1. Let g(l) = -18*l**2 - 5. Let w(d) = y*g(d) - 15*x(d). Let n(m) = m**2. What is n(w(t))?\nAnswer: 4761*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 66127 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -521403 - -764687. Let l = v - 243262.0034. Let j = 22 - l. What is j rounded to three decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 237*k - 3806 = 1052*k + 269 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 l when two letters picked without replacement from {r: 7, l: 11, g: 1}?\nAnswer: 11\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*k - 84*k = 16179. Suppose k = d + 4*m, 4*m - m + 10753 = 2*d. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88 is divided by 48?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 0 + (6 + 1 - 0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4544973062 to the nearest integer?\nAnswer: 1656","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 22262 to the power of 1\/2, to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14819927, 29639854, 44459781?\nAnswer: 59279708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 4:07 PM?\nAnswer: 1:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - (-38)\/10) + (-46)\/(-230). Let m(b) = -b**2 - 2. Calculate m(n).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*c - 32*c = -133. Let r be ((-6)\/c)\/((-32)\/14 + 2). Suppose 4*t - 13 = p, 7*t = 2*t + 2*p + 20. What is the highest common divisor of r and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, z: 2, a: 2, h: 1, j: 1, k: 4}. What is prob of picking 1 k, 1 z, and 1 d?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 - -73. Suppose -4*k = 2*d - 164, d + b = 2*k - 2*d. Let h = -13 + k. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 2*b = -10, -2*j + 768 - 743 = 5*b for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -141454021 (base 6) to base 2\nAnswer: -1011000000001101111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -3*b. Let m be u(-1). Suppose g = -m*g + 12. Suppose 0 = -2*y - 8*f + 3*f + 41, y + g*f = 19. Calculate the highest common factor of y and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22.6 - 0.6. Let w = a + 21. Let u = w + 2.8. What is u rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5.9 + -2.9. Let i be (-2)\/(-8) - -1*(0 + 0). What is the nearest to -0.3 in b, i, 0.5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4487*h = -4628*h + 705. Factor 0*i**4 - 1\/5*i + 2\/5*i**3 + 0*i**2 - 1\/5*i**h + 0.\nAnswer: -i*(i - 1)**2*(i + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**2 - u**2 + u**2)*(12*u**3 - 13*u**3 + 18*u**3).\nAnswer: 17*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1555751 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6192 and 55358544.\nAnswer: 2064","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 40.2421+0\nAnswer: 40.2421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39125, 156509, 352151, 626051, 978209?\nAnswer: 1408625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -3*g + 448. Let f(h) = 2*h - 3. Give 2*f(z) + r(z).\nAnswer: z + 442","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {a: 7, i: 6}?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7528217 is divided by 7528200?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*i - 13*i + 9*i)*(-3 - 1 + 3) - 3*i + 2*i + 2*i + (0 + 2 + 0)*(-3*i + 4*i + i) - i + i + 2*i + i - 3*i - 2*i.\nAnswer: 28*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r + 6. Let b be d(6). Suppose b = -2*f - 4 + 6. Calculate the highest common factor of 1 and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 + 6*k - k**2 + 5337 - 10677 - k**2 + 7*k**2 + 5337. What is p(7)?\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wkk when three letters picked without replacement from lwklulklkikkllkwk?\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 61826069 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 18 = m - 0*i, 5*i = 3*m - 34. Let g(q) = 5*q**3 - 13*q**2 - 6*q - q**3 + 7*q**2 - 5*q**m. Determine g(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 2*r**2 - 17*r + 7 - 4.\nAnswer: -2*r**2 - 17*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 5*r = -59, r - 3 = -0. Suppose 5*j - d = c, 3*j - 3*d + 7 = d. Factor -k**j - 6 + 3*k**2 + 1 + 1.\nAnswer: -(k - 2)**2*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -794588.9 rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 328 = -3*f. Let u = 174 + f. Suppose 3*z = 4*n - 3 + 7, 2 = n. What is the highest common factor of u and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5*6)\/2 - 2. Let j(k) = k - 11. Let u be j(m). Solve -15 = u*n + n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -39 + 41. Suppose t*y - 38 = -3*l + 17, -4*l = -4. What is the remainder when 103 is divided by y?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02500762 to four dps.\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*j + 21 - j**3 + 16 + j**4 - 38 to the form m*j**2 + t*j**3 + o*j + w + d*j**4 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 3*b**2 - 6 - 1 - 4*b**3 - 4*b**2 in the form v*b**2 + q*b + t*b**3 + s and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.61224 and 3.\nAnswer: -1.83672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 74035*r*w**4 - 12*r*w**3 - r*w**2 + 283836*r*w wrt w.\nAnswer: 1776840*r*w - 72*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25441023 (base 7) to base 11.\nAnswer: -133a484","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58705*a + 58864*a + a**2 - 117569*a.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 8) + 11 - 12\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-137 - -128 - (-3 + 2 + -5)) + 9 - -56.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29738 to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(720) + -6*sqrt(720)*-1 - (-3 + -2*sqrt(720)) - ((sqrt(720) - 5*(sqrt(720) + 1 + sqrt(720) + sqrt(720)))*6)**2.\nAnswer: -5081217 - 60372*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 155\/2 - 104. What is the common denominator of y and 149\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 166213 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/4 and -34\/39.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/151103898 and 3\/941.\nAnswer: 151103898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6919?\nAnswer: 11, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 5*u - 8. Suppose 1 = -u*l + 7. What is the second derivative of 2*y - y**l + y - 2*y wrt y?\nAnswer: -6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 25 + -8 - (-16)\/(-4). Suppose 84 = n*v - 9*v. Suppose 0 = -5*c + 270 + 140. What is the remainder when c is divided by v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 307 (b) -1 (c) -38 (d) 14\/215\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1355222396?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 27*u**3 - 1 - 80*u**3 + 26*u**3 + 26*u**3 - 3*u. Calculate x(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 257027, 513656, 770285, 1026914, 1283543?\n\"Answer: 256629*s + 398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67231.7m to micrometers.\nAnswer: 67231700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/2150008 and -13\/34707272?\nAnswer: 242950904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -231310 - 0?\nAnswer: -231310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 307259?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -1, 4, -5 in decreasing order.\nAnswer: 4, -1, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.006 times -5\nAnswer: 0.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 78086437 to the nearest integer?\nAnswer: 8837","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 5*z + 642, j - 274 - 50 = -z. Suppose 7*r - 9*r = -j. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 4 + 4)*(-1993 - 7410 + 581 - 5995 + 2531)*(2*i - 4*i + 4*i) to the form l + f*i and give f.\nAnswer: -147432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -4*d, 2*d - 22 = 5*i + 8. Let o be (-2 - i)\/(1\/3). Suppose -o*w = -w + 2*b - 57, -5*b = 5*w - 60. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 1506, 2.\nAnswer: -18, 2, 1506","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 891?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 60 = j. What is the units digit of (-812)\/(-35)*j\/(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of -11*u**4\/12 + 6*u. Let w(q) be the second derivative of 0*q**2 + 0 + q - 1\/3*q**3. Calculate w(s(a)).\nAnswer: 22*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 8, 22, 50, 92, 148?\n\"Answer: 7*n**2 - 7*n + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 4*x - 5. Let n(c) = 505*c + 492*c - 10 - 1488*c + 498*c. What is -11*a(z) + 6*n(z)?\nAnswer: -2*z - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7295606497 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l + 7. Let d be x(4). Suppose -y + d = 7. Suppose -y*p + 444 = -0*p. Is p a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -4*g**3 + 36*g**2 + 9*g - 11. Let r be y(9). Calculate the highest common factor of 28 and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(4*sqrt(76) - sqrt(76)))\/(-5*sqrt(484)).\nAnswer: 3*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-216)\/(540\/15) + -4 + 0?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 157927704 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26 and 14495.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 5*t - 69, 2*u = 5*t - 18 - 19. Let m be 1\/(33\/(-35)) - (u - -15). Let f = m + 113\/231. Which is the second smallest value? (a) f (b) 3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 - -8. Let u be (3 - 3) + (-17)\/m*4. Suppose u*l - 40 = -6. Solve 0 = a - 5*a - l*y + 12, 3*y = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -2*n + 21, -2*q + q + 5*n = 24. Let l = 7 - q. Calculate the remainder when l is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 + 13)\/((-3)\/17).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -205 = 12*d - 17*d. Let x = -10 + 32. Calculate the remainder when d is divided by x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1101001110000011000 (base 2) to base 6.\nAnswer: -13141240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u + 3. Let o be (0 + -1)*6\/(-2). Let h be v(o). Suppose -5*q + h = -9. Solve 4*d + 5*c - 32 = 0, q*d + 5 = 3*c + 2 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = i - 2*r - 24, -i = 4*r - 22. Calculate the least common multiple of 8 and i.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 1. Let i be (v\/(-2))\/((-6)\/3). Solve 0*g - 3*r = 2*g - 14, 3*g - 4*r - 4 = i for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.44 and -1586384?\nAnswer: 1586384.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*p**2 - 4 + 302*p**3 - 286*p**3 - 4*p**4 + 1 + 1 to u*p**2 + c*p**3 + f + m*p**4 + q*p and give c.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92273545.\nAnswer: 5, 7, 13, 202799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of -30*c + 0*c**3 + 35\/2*c**2 + 0 + 10\/3*c**4. What is the first derivative of s(v) wrt v?\nAnswer: 80*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -873.1, -0.2, 1.2, 212, 5 in decreasing order.\nAnswer: 212, 5, 1.2, -0.2, -873.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -257968532.\nAnswer: -5\/257968532","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -22818122 greater than 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2729778618.\nAnswer: 2, 3, 7, 64994729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -6*t**2 + 3*t + 4. Let z(o) = -o**2 + o + 1. Suppose -5*y + 3 + 2 = 0. Let c(x) = y*p(x) - 4*z(x). Find the second derivative of c(f) wrt f.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from urr. What is prob of picking 2 r?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -10*(0 + 4\/(-10)). Let l(x) be the second derivative of 3*x**3\/2 - x**2 + 45*x - 1. Does 10 divide l(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 6 = -14 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -2*p - 11. What is the units digit of u(-10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 4) to base 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -9210*-1\nAnswer: 9210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j**4 + 3*j**4 + 0*j**4)*(0 + 0 + 2*j) + 0 + 0 - j**5 + (j**3 - j**3 - j**3)*(-j**2 - j + j) - 3*j**5 + 0*j**5 + 0*j**5.\nAnswer: -5*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 7:19 PM?\nAnswer: 3:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 - s + 19. Let k be w(0). Suppose -r + k = 5*t, 5*t + 6 = 3*r + 3*t. Suppose c + c = r. Solve 3*x + 2 = c*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1084\/197 + 95696\/20685. Calculate the common denominator of c and -32\/165.\nAnswer: 1155","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 18*c + 33. Let y(h) = h + 1. Let n(i) = d(i) - 15*y(i). Let j be n(0). Calculate the greatest common factor of 9 and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1214*n + 558*n - 752*n to the form j + y*n and give y.\nAnswer: 1020","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 3*p + 5 = 0, 2*p = -5*t - p + 7 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 183, 10, 1, -5, 0 in descending order.\nAnswer: 183, 10, 1, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 788 divide 878620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -3*a - 32. Let d be c(-11). What is the highest common factor of d and 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 not equal to 1163\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7 + 2?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10\/3*6\/4. Let o(r) = r**3 + 2*r**2 - 1. Let q be o(1). Factor 0*a - 3\/5*a**c + 3\/5*a**3 + 0 + 3\/5*a**4 - 3\/5*a**q.\nAnswer: -3*a**2*(a - 1)**2*(a + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 18398544?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*h*j**3 + 202*h*j - 2*j**5 - 4*j**4 - 34*j**2 wrt j.\nAnswer: -48*h - 120*j**2 - 96*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q = -6*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -2*i + 4. Suppose 5*v = 3*v + 10. Suppose -30 = -v*b - 5. Put i, b, -3 in descending order.\nAnswer: b, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 69528 or 69527?\nAnswer: 69528","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y. Let i(x) = -33*x + 1. Give i(o(l)).\nAnswer: 33*l + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2, -94895, -0.134?\nAnswer: -0.134","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 380344.\nAnswer: 2, 47543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1598\/188*2\/(-1). Let t(s) = -s - 15. Calculate t(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5\/(-5)*(9 + -2). Let q(x) be the third derivative of x**6\/120 + x**5\/10 - x**4\/8 - 166*x**2. What is q(t)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/5*(-3 - -1). Which is smaller: i or 0?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 9955.\nAnswer: 39820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 + 3*r - 3. Let z be b(2). Let j be 4\/(-8)*-4 - 0. Suppose j*h = -4*i + 6, -4*h + 3*h = -3*i + 2. Sort h, 5, z in descending order.\nAnswer: 5, h, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2702700 divided by 2340.\nAnswer: 1155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h + 80 = -5*h. Suppose -2*z - 5*n = 5, -4*n = h - 8. Solve 2*l - z*l = 15 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 + 23*t + 110. Let r be h(-17). What is the highest common divisor of 46 and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1078*j**2 - 4106 + 1554*j**2 + 8214 - 4108.\nAnswer: 2632*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 7*r = -6*r + 2796, -4*b + 5*r = -5580. Is 14 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 b when two letters picked without replacement from {w: 3, r: 1, b: 3, l: 2, c: 1, n: 5}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3\/146 (b) -1.3 (c) 5 (d) -25.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -11 (b) 0 (c) -2 (d) -1\/3 (e) -19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -196 + 193. Which is the second smallest value? (a) 15 (b) -5 (c) 1 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4254, 3, 229 in descending order.\nAnswer: 229, 3, -4254","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-1*((sqrt(42)\/sqrt(6) + 4 - (sqrt(7) - (sqrt(252) + 1 + sqrt(252)))) + -2 + -3))**2 + -2).\nAnswer: -2012","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 4*d = -47, -d + 186 = 4*b + 49. Suppose 5*f = -3*g + b, -33 = -3*g - 4*f + f. Is g a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15858?\nAnswer: 2, 3, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 120 + -2. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87987283 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132*r - 256*r = -138*r + 574. What is the remainder when 327 is divided by r?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 220*s - 6 - 454*s + 230*s. Suppose 0 = 2*k - 2*v + 20, -k + 4*k + 5*v = -46. Is 14 a factor of x(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5626 - -5625.95. Let u be 12\/42 - (-5)\/(-42). Put s, 1\/5, 1.9, u in descending order.\nAnswer: 1.9, 1\/5, u, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 n when two letters picked without replacement from bbepegpbeegnpebebe.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 347598 is divided by 11210.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*w + 3*w**4 + 7*w + 2 + w**4 - 2 + (11*w**3 + 12*w**3 - 9*w**3)*(-w - 1 + 1) in the form j*w**2 + d + x*w + k*w**3 + a*w**4 and give a.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r - r - 2*r + (0*r - 5*r - r)*(1 + 1 + 0).\nAnswer: -17*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -7*o - 52. What is the smallest common multiple of h(-8) and 123?\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.03? (a) 0.5 (b) -1 (c) -0.2 (d) -3 (e) -0.00884\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*p + 50 - p - 41 as f + g*p and give f.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -x - 4*x + 288, -2*f + 62 = x. Suppose 4*y = -2*q - 2 + 70, 3*y = -5*q + x. Solve w + 3*i - 3 = 0, 3*i - y = -5*w - 1 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/7, -3\/7, -3, 2.1, -6\/47, -2\/3, 1\/4?\nAnswer: -6\/47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -35344 to the nearest 1000.\nAnswer: -35000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 212836?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 19, 5, 0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 52818935?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (-1 - 1)) + (32 - 33).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 57 - (17 + -35 + 10 + 6 + 16).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1631 and 63.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -226.696 - -227. Let n = h - 0.104. What is the nearest to 0 in n, -15, -2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 9:48 PM?\nAnswer: 9:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1419156 and 3924.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-1)*(4\/8)\/1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13120 is divided by 12976?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 200008 is divided by 199839.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - 499)\/(2\/(2 + 0)). Is (0\/(-2))\/(-3) - x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22 * 18591.16\nAnswer: 409005.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1671410 and 11699870.\nAnswer: 11699870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 + 3*v**2 + 5*v + 4. What is the lowest common multiple of o(4) and 7?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*g*h**4 - 984*g*h**3 - 2*g*h**2 - h**4 + 21*h**3 - 7*h**2 + 2216 wrt h?\nAnswer: -72*g*h - 5904*g - 24*h + 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 8:18 AM?\nAnswer: 7:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 4*a**3 + 4*a**2 + 2*a - 1. What is f(-2)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -578660*h**2 + 545929.\nAnswer: -1157320*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 6*(sqrt(57)\/(sqrt(21)\/sqrt(7)) + -2*(sqrt(19) - sqrt(931))))**2*5.\nAnswer: 2340*sqrt(19) + 578025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**4 + 20*b**3 + 55*b**2 - 330*b + 360.\nAnswer: -5*(b - 3)**2*(b - 2)*(b + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 0.6 (b) -4 (c) 341\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 7 = 53. Suppose -5*l - 4 = 36. Let z = t + l. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*c - 4*c - 1356. Let b = -120 - c. Suppose 0 = v + p - 100, p + 61 = 3*v - b. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*c - 19 + 31. Suppose -5*i = 2*r - 15, 4*i + 7 = -r + 22. Suppose 4*l = -1 + i. Solve -s - 5*z - 23 = -c*s, -2*s + z = -l for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + s = -4 - 3, -4*m + 3*s + 30 = 0. Suppose 5*q - q - 8 = 0. Suppose -q*d - m = -31. Does 11 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -590643*x**4 + 299*x + 81.\nAnswer: -7087716*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + -1. Suppose 5*b - 7 + 26 = 2*k, -3*k = 3*b + 3. Let n(y) = 2*y + y**3 - 3 + y**2 + 1 - 5*y**k. What is n(l)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29864\/11 - -2715. What is the fourth biggest value in n, 0.3, 4, -44?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/(-2)*-3 - (-555 - -551). Let x(h) = -h**2 - 11*h + 11. Calculate x(g).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1331) + -2)**2 + (sqrt(11) - (-1*(sqrt(11) + 1))**2).\nAnswer: -45*sqrt(11) + 1323","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 PM and 2:41 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 9) in base 12?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + n = -4. Let g = 8 + n. Suppose -2*k - 4*f + 10 = k, g*k + f = 9. Solve 4*q + 6 = -k for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -3*c + 5*k, -9*k = -4*k + 10 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 127739368 and 122.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (89*j - 25 + 36 - 12)*(3*j**2 - 3*j**2 + 2*j**2).\nAnswer: 178*j**3 - 2*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-60)\/50*5*1. Let w(f) = -f**3 - 5*f**2 + 6*f + 1. Let i be w(z). Solve -q + 0 + i = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 6164 = 5*h, 216*l - 3706 = -3*h + 211*l. Calculate the least common multiple of 528 and h.\nAnswer: 3696","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 448*a + 13. Let i be f(5). Let q = -1346 + i. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*0\/(3\/(-12)*4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3762164 = -38*f + 92243 - 594881. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 - 2 = 2*k. Let g(y) = y**3 + 11*y**2 + 9*y + 7. Let a be g(-10). Suppose c - k = -a. Does 2 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, 0.94263, 7\/3 in descending order.\nAnswer: 7\/3, 1, 0.94263, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -3399*s. Let n(w) = -179*w. Let c(p) = -4*d(p) + 77*n(p). Let f(r) = r - 1. Let x(j) = c(j) + 2*f(j). Let o(y) = 2*y**2. Determine x(o(u)).\nAnswer: -370*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -33 + 4. Let h = 3 - b. Let m = h - 31.99996. What is m rounded to 5 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 47*l**2 + 3*l + 11. Is y(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 25 + 17. Suppose 5*t - 2*y - 2 = 0, -2*t + 4*y + 2 - l = 0. Let x(m) = m**2 - m. What are the prime factors of x(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -20404558.44 to the nearest 1000000.\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3397 is divided by 94?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 13*a**2 + 3*a + 16. Let z be k(-6). Suppose 3*y - 524 = z. Suppose 0 = 2*j + 4*j - y. Is 12 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3*(-3)\/165)\/((-6)\/(-4)). Let q = 7\/110 - h. What is the third smallest value in -5, q, -1.3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 + 48*f + 44. Determine o(-5).\nAnswer: -221","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -23c - -4552b?\nAnswer: 452bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -63 + 88. Let k be 2\/(-3 + 65\/j). Sort k, 2, -6.\nAnswer: -6, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-13 - 264\/(-18)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102279 + 22866 = 8125*b - 58450 + 12970 for b.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - b = 0, 136 - 112 = 2*l + 5*b. Let w be (0\/1)\/(1 - -2). Suppose w = -2*r + 4*r. Solve r = l*y - 4*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (5 + 5 + ((sqrt(931) + sqrt(931)*3)*-6 - (sqrt(931) + sqrt(931)*-2*-3)))**2*-4.\nAnswer: -3579162 + 17360*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(833) + -2 + sqrt(833) + 1 - (sqrt(833) + sqrt(833)*2*1).\nAnswer: -7*sqrt(17) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 3*r - 26, -24 - 20 = -x + 3*r. Suppose -19*j - 123*j = 39*j - 69685. Calculate the greatest common factor of j and x.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1275107 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 4*g**2 + 12*g. Let z be o(-10). Suppose 5*i + 5*m - z = 920, -4*m - 1155 = -5*i. Is 35 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.5 and -4483.\nAnswer: -4483.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (18\/(-15))\/((108\/(-30))\/6). Suppose -m = j, 4 = -r - m + 7. Solve 4*b - r*h + 3 = -18, 4*b - 4*h = -16 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*i - 30*i = 52*i - 226. Solve 0 = -5*r + d, i*r - d = 5*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -33*h**3 - 67*h**3 + 3*h**3 + 10*h**3 + 304*h**2 wrt h.\nAnswer: -522","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.4 + 1.4. What is the nearest to -2 in -3, y, -0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 459 is divided by ((-39)\/(-65))\/(1\/95)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l**3 - l**2 - 4*l + 3. Let m be n(2). Suppose -40 = -m*v + 3*v. What is the smallest common multiple of v and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 2*i - 78. Let w = i - 36. Suppose -4*g = -5 - w. Let y(t) = 2*t + 2. Give y(g).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 13) to base 7.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 630040 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of -5*g**4\/24 + 144*g**2. Let x(y) = 24*y**2. Give x(d(k)).\nAnswer: 600*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + -76970b?\nAnswer: -769713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 939905 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1024 by -7.\nAnswer: 1024\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w - 22. Let l be x(24). Suppose 2\/5*h**l - 4\/5*h + 0 = 0. Calculate h.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 41026, 41048, 41130, 41302, 41594, 42036?\n\"Answer: 5*l**3 - 13*l + 41034","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 3) to base 7.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63441261 (base 7) to base 15.\nAnswer: 711866","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**5 + f + 1. Let u(r) = r**5 - 4*r**4 - r**2 - 3*r - 9. Let m(j) = u(j) + 3*z(j). Find the third derivative of m(a) wrt a.\nAnswer: -120*a**2 - 96*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.568517 years?\nAnswer: 6.822204","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 3 - 1 + 1852 - 5460 - 4799 + 2 - 5 + 1 + (-4 + 0 + 2)*(2 - 2 - 2))*(0*j + 2*j**2 + 0*j) in the form u*j**2 + w + s*j and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83995956?\nAnswer: 2, 3, 11, 47, 4513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3820635 and 91?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(-6) - (164\/(-8) + 0). What is the highest common factor of 260 and o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-855)\/(-35) - (-27936)\/(-8148)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3047698?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**5\/3 + 514*q**4\/3 + 1012*q**3\/3 - 6130*q**2\/3 + 7163*q\/3 - 2560\/3.\nAnswer: (q - 1)**3*(q + 5)*(q + 512)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 - 8*j - 4. Let k be x(-5). Let y = k - 7. Calculate the lowest common multiple of 90\/y - 4\/8 and 2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*p + 68 = 2*u + 2*u, 37*p + 20 - 100 = -2*u + 55 + 25 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 26448180 divided by 43716\nAnswer: 605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 + 30*n - 342. Calculate t(9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 16, w: 2}. What is prob of sequence wfff?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 68926723?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 384 a factor of 64128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88912 is divided by 317?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-9) + 85\/180. Let a = -181\/415 - -3\/83. Suppose -6*c - 12 = -2*c. Sort a, c, i.\nAnswer: c, a, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1727768?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 974*r**2 + 687*r**2 - 3 + 978*r**2 - 2643*r**2.\nAnswer: -4*r**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -286, -325, -362, -391, -406, -401?\n\"Answer: o**3 - 5*o**2 - 31*o - 251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14232991 and 75?\nAnswer: 1067474325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 71824 and 141638?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 2*f + 152 = 0. Suppose 2*r + 1424 = 210. Let i = r + 949. Calculate the highest common factor of i and f.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 126 + -123. Let k(f) be the first derivative of 1\/15*f**5 - 7\/6*f**2 + v + 2\/3*f - 5\/12*f**4 + f**3. Factor k(h).\nAnswer: (h - 2)*(h - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 + 28*i**2 - 6821*i - 70004. Calculate k(-10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*i**2 + 26*i**2 + 5*i**2.\nAnswer: 26*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 - p**2 + 26. Let f be g(0). Let i = f - 29. Which is the third smallest value? (a) 0 (b) i (c) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*g**3 + 16536*g**2 - 210539*g + 667850.\nAnswer: (g + 1850)*(3*g - 19)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qupuuuupqupqp. What is prob of picking 1 u and 1 p?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -156109, -156067, -156023, -155977, -155929, -155879?\n\"Answer: d**2 + 39*d - 156149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 11*i**3 - 3*i**2 - 2. Let p(c) = 144*c**3 - 39*c**2 - 27. Let f(x) = -54*d(x) + 4*p(x). What is the third derivative of f(w) wrt w?\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 196 + -131. What is the remainder when l is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of 457*i**5\/20 + i**4\/4 - 3*i**3\/2 + 9*i**2\/2 - 100*i. Is c(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 48 and 1392.\nAnswer: 1392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of d**3\/3 - 9*d**2\/2 + 10*d + 2. Let u be t(8). Suppose 0 = -u*w + 3 - 1. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23, 49, 193, 409, 697?\nAnswer: 1057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 4*d + 0*d - 8 + 2. Let o(w) = 4*w + 8. What is the remainder when o(5) is divided by i(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-4*sqrt(11) - (sqrt(110)*4)\/sqrt(10).\nAnswer: -20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*t**2\/7 - 16286*t\/7 + 6972.\nAnswer: 2*(t - 3)*(3*t - 8134)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 x when two letters picked without replacement from rrtgrngxxxftt.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 25183 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together -11.67 and 92.\nAnswer: 80.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -2*l - 22, -2*l = a + 5 + 2. Let j = a + 11. Let q(x) = -x**3 + 7*x**2 - 6*x + 4. What are the prime factors of q(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*l**3 - 3*l**4 + 0*l**3)*(-2 + 2 - 1)*(-6215 - 8547 + 17565) in the form o + z*l**4 + b*l + f*l**2 + h*l**3 and give z.\nAnswer: 8409","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = -20*t + 21*t. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 609 + 129 = -36*q - 198 for q.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 4 - 4)*(-3 - 1 + 2) - 2 - 4 + 5)*(m**2 - m**2 - 2*m**2).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 - 1095218816?\nAnswer: -1095218841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 332*f + 1118*f = 27550 for f.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - -5271611?\nAnswer: 5271615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5 and 5\/(-2)*240\/(-75).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j + 5. Let k be l(5). Suppose k*p - 4*p - m + 17 = 0, -p + 4*m - 17 = 0. Suppose y + p*y = 112. What are the prime factors of y?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a - 9*a - 5*a - a.\nAnswer: -13*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1807.\nAnswer: 13, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.2 + 4.2. Let d = 2.5 + -3. Let h = 5.5 - d. Which is the second biggest value? (a) h (b) r (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -79*a - 7. Suppose 2*k = -8, k + 8 = 2*n - 3*k. Let d be n\/(-12) + (-38)\/6. Is m(d) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -12. Suppose -y = -4*l + 7. What is the units digit of (1\/l)\/(3\/9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3869440 rounded to the nearest one hundred thousand?\nAnswer: -3900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = -3*w + 2*w. Let f = 115 + w. Let u(p) = 5*p**2 + 5*p + 5. What is the remainder when f is divided by u(-2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1423 = 17*s - 1321 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 = -2*s + 13. Let x be (6 - 222\/s)*-18. Suppose -5 = -5*b + 5. Solve -5*n - 2*m = 0, -b*m - 10 - 6 = -x*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -28, 9, -35, 3, 0, -1 in decreasing order.\nAnswer: 9, 3, 0, -1, -7, -28, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve i**2 - 11370072*i + 32319634321296 = 0.\nAnswer: 5685036","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 156 and 9444?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3825680 - 3825676.879873. Let w = 12.18 - 15.3. Let v = b + w. What is v rounded to 5 dps?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3\/8 - 3*l**2\/4 - 55*l\/8 + 63\/2.\nAnswer: (l - 9)*(l - 4)*(l + 7)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 - c**2 + 5*c + 2. What is the remainder when (2\/8)\/(10\/520) is divided by w(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(1\/21))\/a)**(-32)\/((a\/(a*(((a\/(a\/a**(-42))*a)\/a*a)\/a)\/a*a))\/(a*a*a**(-3\/7)*a)) assuming a is positive.\nAnswer: a**(-796\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 4 + (-96)\/(-3) + -50?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2837869.\nAnswer: 1597, 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 66 and 8501658?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 6. Suppose r*b - f = 0, 0 = -2*b - 3*f + 5 + 6. Let c = 22041448\/225 - 97962. Is b not equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27685, 54996, 82307, 109618?\nAnswer: 136929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -49*w - 75 + 173. Solve w*o - 43 = -51, -2*q + 4 = -4*o for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35669 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-8))**3\/(v*v\/(v*v**(-3)))**9)**(-13) assuming v is positive.\nAnswer: v**780","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*m**6 + 485*m**4 - 344*m**3 + 241*m**2 - 1524*m - 8?\nAnswer: 1200*m**3 + 11640*m - 2064","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**2 - 453628*z - 453632.\nAnswer: 4*(z - 113408)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63755997.\nAnswer: 3, 131, 162229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 38 - 34. Suppose 3*t + 6*z = z - 20, -l*z - 16 = 2*t. Sort t, -15, -4 in descending order.\nAnswer: t, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of 2\/3*d**6 + 2\/3*d**3 + 0*d**2 + 5 + 0*d**5 + 0*d**4 + 0*d. What is the third derivative of j(t) wrt t?\nAnswer: 240*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15623862 = 15623856?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -203174 = -4*m - 27834. Let y = m + -26635. Round y to the nearest 1000.\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105 is divided by (392\/112)\/(0 + (-2)\/(-4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 287*c - 26. Let h be q(3). Let s = -522 + h. What are the prime factors of s?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 4*q - 29, 0 = -2*c + 6*c + 5*q - 15. Suppose -13 = -4*x - 9, 0 = -2*g - c*x + 1. Let j be 0 - g\/2 - -3. Solve 0 = -w - 1 + j for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 46305\/8 + -5782. Is 6 equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(2*4))\/(105\/84).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6902223071 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1837, -3677, -5515, -7351, -9185?\nAnswer: -11017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 223.12 + -223. Let m = 1.8 - 1.98. Let r = x - m. Which is the third smallest value? (a) r (b) 1\/2 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 - 3*k**2 + 5*k + 4. Let g be l(-4). Suppose -4*h - 37 = -3*r - 0*h, g = 4*r + 3*h - 66. Calculate the highest common divisor of 5 and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 123390?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5484?\nAnswer: 2, 3, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (3\/(-80))\/(72504\/49184) and -17\/60.\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 185168424 and 1776?\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 + 25 = 17*u. Let s(q) = -2*q**2 + q**3 + 3*q + 0*q**2 - 2*q**2. What is the tens digit of s(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*b - 3*b - 35. Is ((-6)\/b)\/((-6)\/168) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y**4 + 1093*y**3 - 7592*y**2 - 10876*y + 17376 = 0. What is y?\nAnswer: -2, 1, 8, 1086","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 63 in -1, -1\/2, 0.1, -2\/11?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 24801.16 millennia in months?\nAnswer: 297613920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3096?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -969687, -1939387, -2909087?\n\"Answer: -969700*f + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 662 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(3) + sqrt(15)\/sqrt(5) + 1*sqrt(9)\/sqrt(3))**2.\nAnswer: 12*sqrt(3) + 31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**7)**(-34) assuming m is positive.\nAnswer: m**(-238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -706 + 654. Suppose 4*s + 398 = -4*d + 142, 4*s = -3*d - 188. Let x = l - d. Solve -x = -3*o - 7 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/(0\/(-5) + -2 - 0). Suppose n = 7*a + 1957 - 10098. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f + 2. Let a be c(3). What is the nearest to 0.1 in 3, -2, a?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 284527\/1155 + 509\/165. Let t = 122 + 128. Let v = q - t. Which is the nearest to -1\/3? (a) v (b) 1\/4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 2*z = -k + 20, -3*k = 4*z - 20. Suppose -111 = 2*d - 7*d - 3*y, -k*y + 12 = d. Solve -4*m + 4*v = -0*m - 8, -3*m - 3*v - d = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -70\/9 and -13\/151.\nAnswer: 1359","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 3726?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 58543333.40026 - 59009180.10025985. Let p = -465847 - b. Let v = 0.3 + p. Round v to seven dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 40 in -8, 3, -0.5, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 1529 = 5*p, -5*s = -5*p - 54 - 3751. Suppose -4*l + 10*g + s = 9*g, -560 = -3*l - 5*g. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 90 = 35. Calculate the remainder when ((-2)\/3)\/((-6)\/171) is divided by n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62876.6 nanoseconds in microseconds?\nAnswer: 62.8766","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 183414.\nAnswer: 2, 3, 7, 11, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-7)\/(-3))\/((-4)\/12). Let x(c) = -c + 5. Let f(t) = -t**2 + 3*t + 64. Let s be f(-7). Let z(k) = k - 6. What is s*z(i) + y*x(i)?\nAnswer: i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 3*x**4 - 33*x**3 + 99*x**2 - 111*x + 42 = 0.\nAnswer: 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - 1)\/((-2)\/15). Let x(i) = 3*i**3 + 28*i**2 + 28*i + 28. Let j be x(-8). Let h be 5 + (-292)\/j + (-17)\/o. Let q(z) = -10*z - 1. What is q(h)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 4*v + 4. Let u(m) = 2 - m + 2 - 3. Let x(h) = n(h) + u(h). Differentiate x(j) wrt j.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 3, 15, -3\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*b**3*l**3 - 274*b**3 + 2*b*l**3 - 42*b*l + b wrt b?\nAnswer: -18*b*l**3 - 1644*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 2 n when four letters picked without replacement from nrrnnnn.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -4, 69, -0.2, 3\/2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2721 + -2673. Solve -y = 19*m - 11*m for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of 2*y - 15 - 23 - 25 + 4*y**2. Let v(g) = g - 1. What is -a(m) + 6*v(m)?\nAnswer: -2*m - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*s + 14 - 8 - 13)*(4*s + 0*s - 2*s).\nAnswer: 12*s**2 - 14*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 34.44*4\nAnswer: 137.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -7*x + 108. Suppose -x*r = 16*r - 750. Is 17 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 n, and 1 h when three letters picked without replacement from nnhinwnninnnnnnnlnn.\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**3 - h**3 + 2*h**3)*(-1 + 1 + 302*h - 271*h).\nAnswer: -31*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -5 + 4 + 3*w**2 + 13*w**2. Let n = 10512 - 10513. Calculate r(n).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three sixteenths of a century in months?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of h**3 - 82*h**2*j - 3*h*j + 47*h + j wrt h?\nAnswer: 6*h - 164*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 9) in base 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -34 - ((-58 - 21) + 21)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vbv when three letters picked without replacement from bvbbbvbbvv.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 4*k + 2 = 0, 2*c + c = -5*k + 25. Suppose 0 = -2*y + 2*i + 50, 4*i - 6*i - 90 = -4*y. What is the highest common factor of y and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 - 7. Suppose 2*p + 18 = -3*t, s*t = -2*p - p - 17. Does 11 divide (-3)\/12 - 89\/t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 5*y + 102. Let u be s(-20). Suppose -46*a + 960 = u*a. Solve 19*x = a*x - 2 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112001 is divided by 128?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**2\/4 + 120318*o - 41540241.\nAnswer: -3*(o - 160078)*(o - 346)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t. Let h(b) = 6 - b**2 - 6. What is w(h(q))?\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15945, 7, 402.\nAnswer: 7, 402, 15945","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 10:16 PM?\nAnswer: 5:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (0 - 1)\/((-2)\/52)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of -19\/42*w**7 + 0*w**3 - 2 + 1\/6*w**4 + 13*w + 0*w**5 - 13*w**2 + 0*w**6. Find the third derivative of x(p) wrt p.\nAnswer: -1140*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 773658, 1546832, 2320018, 3093222, 3866450, 4639708?\n\"Answer: c**3 + 773167*c + 490","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*r + 5*r - r + (-5 + 114 - 31)*(-3 - 2 - 1)*(3 - 3 - r) in the form t*r + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 37.0994 * -0.1.\nAnswer: -3.70994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + -1 + 6 + 3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 80 and 96200.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (12\/(-18))\/((-1)\/6). Suppose p + 36 = k*p. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -3*n**4 - 6*n**3 - 2*n**2 + 6*n + 5. Let m(l) = -l**2 + 1. Let u(w) = 2*m(w) - p(w). Factor u(s).\nAnswer: 3*(s - 1)*(s + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -447 or -445?\nAnswer: -447","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -5*o**2 - o - 2 - o**3 - 2 - 3*o**2. Suppose 3*x + 27*p = 31*p - 24, -5*p - 16 = 2*x. Determine d(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -133?\nAnswer: -26.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c**2 + 6*c + 24. Is p(0) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-2*(sqrt(17) + (4*sqrt(34)\/sqrt(2))**2).\nAnswer: 2*sqrt(17) + 544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23, 79, 165, 281, 427, 603, 809?\nAnswer: 1045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5613759 is divided by 3392.\nAnswer: 3391","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + -20 - (54\/(-5))\/3.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*q - 72*q = -26. Solve 2*a + 7 = m, 2*m - 2*a - 8 = -q for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 - -121. Suppose f = -0*r + 4*r. Suppose -r = -k - 0*k. What is the remainder when k is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(11) + sqrt(22)\/sqrt(2) + -1.\nAnswer: 4 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9374?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -101 - -68 - (-6 + -21)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 - o. Let r(t) = 2. Let f(c) = h(c) - r(c). Give f(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*d + d. Let k(u) = -u**2 + 2*u - 4. Let s be k(d). Let i = 10 + s. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*z + 28*z**4 + 4*z**4 + 1 + 29*z + 0*z**2 - 33*z**4 - 2*z**2 to l*z + y*z**4 + w*z**3 + o + a*z**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -2*q**3 + 44*q**2 - 26*q - 8. Let o be n(21). Suppose b - 9*b + o = 0. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -28, -0.3, 4, -1, 3, 2\/209, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 8. Suppose -2*n + 3 = -t. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 174fccc - -1?\nAnswer: 174fccd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.708 + -1.709422. Round t to 5 dps.\nAnswer: -0.00142","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*i + 35 = -4. Let x be i\/7*2\/3. What is the fourth biggest value in x, 0.05, 2\/3, 5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 160484 and 11869003.\nAnswer: 757","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p**2 + 17*p**2 + 17*p**2 - 6*p**2.\nAnswer: 30*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(180))\/(-2*sqrt(360)).\nAnswer: sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1634 + 1639. Let g = -0.16 + 7.16. Which is greater: g or i?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 52180015?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 + 10. What is the second derivative of 3*d**3 - 6*d**3 + 2*d**c + d - 8*d wrt d?\nAnswer: -6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 32 - 32)*(-3 + 0 + 1)*(7*d - 7*d + 3*d**3)*(4*d**2 - 6*d**2 + d**2).\nAnswer: -354*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2423.94 hours?\nAnswer: 8726184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 18384456 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2*m**2 + 6*m - 72. Let b(a) = -2*a**2 - 7*a + 69. Let h(x) = -4*b(x) - 5*i(x). Factor h(r).\nAnswer: -2*(r - 6)*(r + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 32121221321 + 10?\nAnswer: 32121221331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/8526*(-635)\/15 + (-288)\/(-4176)?\nAnswer: -1\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7 - -6?\nAnswer: d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10103 is divided by 2838.\nAnswer: 1589","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yxxyyyxyddyx. What is prob of sequence dd?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 - 72 = -f - 3*u, -3*f + 3*u = -3. What is the third smallest value in f, -5, -17?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22 - -24. What is the second derivative of -6*r**5 + s*r - r - 4*r - 3*r**5 wrt r?\nAnswer: -180*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 8*d + 1. Let m be g(3). Let x = m - 25. Suppose x*l + 5*v - 642 = -2*l, -3*v - 1336 = -4*l. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -50.2 * -2.9\nAnswer: 145.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 675571, 1350865, 2026159, 2701453?\nAnswer: 3376747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6532235 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(588)*-1 - sqrt(192)*-4)\/(1*(sqrt(486) - 6*sqrt(486)*-1)).\nAnswer: sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 - 957\/(-12))\/((-15)\/120). Let i = b + 661. Is i less than 44?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -480, 194\/5, -0.2, 2?\nAnswer: -480","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 33437811?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2*n**2 + 15*n - 14. Suppose 53 = 11*s - 13. Let a be p(s). Solve 3*r + 3 = -a*f, r - 1 = 4*f + 2*r for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + 1 + (-2595)\/2523. Let w = i + -111421\/15138. Calculate the common denominator of w and -83\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x**3 + 213*x**2 + 3608*x - 3968. Determine n(-85).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -8*j + 608. Let p = -338 + 340. Suppose -p*y + 12 = -j. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - 3*r**2)*(-49 + 866*r + 1617*r - 859*r - 34 + 106) as w + u*r**2 + b*r + p*r**3 and give p.\nAnswer: -4872","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from fyyff?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -148*m + 144*m = n + 20, 28 = -2*n + 4*m for n.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 63 and 12?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/12*(-1 - 0). Is 1 smaller than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*q + q. Let b(g) = -10*g - 17. Let x be b(-7). Suppose -4*y = -2*p - 138, -5*p = q*y + x - 128. What is the remainder when 139 is divided by y?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 15\/(585\/6) + (-7560)\/(-39). Is n less than or equal to 193?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -711 + 12ce?\nAnswer: bbd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*a - 16*a + 2*f + 21, 3*a + 18 = -3*f for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-56 + -1 - (109 + -121)).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(750) + ((sqrt(750)*2 - sqrt(750))*-5 - sqrt(750)))\/(5*(sqrt(1440) - 2*sqrt(1440)))*-4 + 0)**2.\nAnswer: 25\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ea when two letters picked without replacement from memmmxeeeeemea?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9.757 and -122.32.\nAnswer: 1193.47624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -54203 (base 9) to base 12.\nAnswer: -18926","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z**(-1\/17)*z))**(1\/19))**(10\/3) assuming z is positive.\nAnswer: z**(10\/969)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1380 (base 16) to base 10\nAnswer: 4992","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**5\/(t\/(t**(-1\/5)*t)))\/(t**(-5\/2)*t**(-4\/5)))**(-1\/5) assuming t is positive.\nAnswer: t**(-81\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(1 + 3\/(-12)). Suppose -19 = -h + 2*k, -3*h + 29 = m*k - 38. What are the prime factors of h?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 11*t**2 - 624*t + 4378. Let h(x) = -35*x**2 + 1860*x - 13135. Let g(b) = -3*h(b) - 10*i(b). Solve g(v) = 0.\nAnswer: 7, 125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 13. Suppose 2*c = 5 + i. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 5*j - 18*j - 16*j. Let l = 136 + -123. Let n(i) = 0*i - l*i + i + 10*i. Give n(o(t)).\nAnswer: 58*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 456 by -95.\nAnswer: -24\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 - 13*a**2 - 29*a - 13. Let d be i(15). Let q = 59 + -20. Let n be (-150)\/q - (-2)\/(-13). Sort 3, n, d.\nAnswer: n, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*z**2 - 29 + 422*z - 422*z + 33 + 5*z**4 to k*z + l*z**4 + j*z**3 + o*z**2 + a and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1149 and 4671451.\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide ((-3)\/2)\/(9\/(-60))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*h - 426 = 59*h for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 2 = -2*o - 6, -4*i + 2 = -2*o. Let v(q) = 13*q**2 - 5*q - 3. Let y be v(i). Calculate the greatest common divisor of 18 and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(1\/4))**(-35))**(-39\/4)\/(g*g**(-5)*g*(g*g\/(g\/(g**(-2\/3)*g))*g)\/g*g*g**(1\/2)\/(g\/g**(-3\/4))) assuming g is positive.\nAnswer: g**(20567\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/11? (a) 2\/11 (b) -9 (c) 0.2 (d) -1\/8 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -117.5 + 122.454. Let h = 0.046 + u. Let o = h - 5. Which is the smallest value? (a) o (b) 2 (c) -1 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 - d. Let s(o) = -5*o**3 + 4*o. Let x be 0 + -11 - (11 - 21). Determine x*s(q) - 4*l(q).\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(175) + sqrt(175) + 5 + -1)*6)**2.\nAnswer: 2880*sqrt(7) + 25776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 3*p**2 + p + 1. Let h be u(2). Let c(m) = 0*m**2 + 16*m**2 - h*m**2 + 8 - 25*m. What is the remainder when 22 is divided by c(25)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -50?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 + 4*u**2 + u - 1. Let a be x(-3). Suppose 0 = w + 1 - a. Differentiate 5 - w - 2 + 2*f with respect to f.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a minute in seconds?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a minute in seconds?\nAnswer: 348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 102 = 5*l, 30 = 3*l - 4*y - 44. What are the prime factors of l?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 11*v**2 + 9*v. Suppose 16 = -7*u + 65. Let m(j) = 16*j**2 + 7*j + j + 5*j. Give u*t(h) - 5*m(h).\nAnswer: -3*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.04, 0.08, 242, 8?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 26895 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 -2*f**3*j**3 - 7500804*f**3*j**2 - 45*f*j - 51206*j**3 wrt f?\nAnswer: -12*f*j**3 - 45004824*f*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {n: 4, d: 7, u: 2}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2\/9 - 58670*s\/9 + 1890724\/3.\nAnswer: 2*(s - 29238)*(s - 97)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-15) - 1054\/(-255). Suppose -u*a = 18*a - 21120. What is a rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 61498 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-102)\/(6\/(-48) - (-13)\/8). Let m be (-8)\/r + 441\/153. What is the second biggest value in 0.5, 0.09, m?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4633 = -3901*l - 82653 for l.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6308.926 kilograms in milligrams?\nAnswer: 6308926000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -849336, -849338, -849340, -849342?\nAnswer: -849344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -4*v**2. Let x be 0\/(-3*4\/(-6)). Let n(r) = x*r + 6*r + 3*r - 2*r. Determine n(q(w)).\nAnswer: -28*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/1692845 and -6\/3773.\nAnswer: 82949405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 5:40 PM?\nAnswer: 8:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*u - j + 18, -1682*u - 3*j + 4 = -1683*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 70249668989 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, -8, -32, 5, 10.\nAnswer: -32, -8, -4, 2, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 20 = 0, -5*b + 27 = -3*u + 5 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 104*y**2 - 40*y**2 - 54*y**2 + 2 to v*y**2 + x + c*y and give v.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -7*q**3 + 17*q**2 + 5*q + 24. Let y(l) = 6*l**3 - 17*l**2 - 4*l - 24. Let o(x) = -5*k(x) - 6*y(x). Is 2 a factor of o(17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -147.755 and 1194.\nAnswer: 1046.245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j + 2*j = 4*j. Let r be -5 + 2 + j + 5. Solve 5*a + 4 = -4*b, 2*b + 2 + 0 = -r*a for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 - 2*m + 10. Is 9 a factor of b(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9123.9999884889 - 9124. Round b to 6 decimal places.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - -101?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = 2*o + 5*p - 10, -4*o - 7 = -3*p for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 + 6*j**2 - 1. Let i be x(5). Suppose -16 - i = -4*u. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -78*f + 5898. Give g(76).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -729977.2003 to the nearest 100.\nAnswer: -730000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-432)\/1800*(-15)\/2)\/(8\/(-40))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*d**5\/5 + 456*d**4\/5 - 538*d**3 - 3084*d**2\/5 + 7176*d\/5 - 2704\/5 = 0.\nAnswer: -2, 2\/3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 5*r - 12 = 0. Let d(h) be the first derivative of 2*h**3\/3 - h**2 + 3*h + 1. Give d(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -544*s**2 + 69.\nAnswer: -1088*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26.506 - -26.5. Round h to 1 dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 46 - 42 - 3*h**3 + 2*h**3 - 3*h**2 + 6*h. Let f be j(-4). Let c be (90\/260 + f\/(-26))*0. Let y(n) = -n - 3. Give y(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 - (4\/(-1) - -2). Suppose 4*l + 92 = -y*g, -3*l + 4*l + 17 = g. Let u(x) = 13*x + 5. Let o be u(-2). Is o > l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 272 divide 172270928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - 25, -3*f + 5*y - 19 = -50. Suppose f*q + 9*q - 66 = 0. Find the first derivative of 6*a**3 + 2*a**3 - q - 10*a**3 wrt a.\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 368 + -371.02. Let i = u + 3. Let a = -0.01999998 - i. Round a to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 5\/1949 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*q - 64*q + 8844 = 272*q. Suppose 12 + 60 = 2*i - s, -i = 3*s - 50. Solve i = -5*d + q for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -40*j**2. Let w(x) = -30*x - 5. Let t(i) = 7*i + 1. Let y(z) = 5*t(z) + w(z). Calculate y(f(l)).\nAnswer: -200*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 5*b - g, -b - 3*g - 3 = -4*b. Suppose -3*k - 6 = -5*w + 2, b = k + 3*w - 2. Is k bigger than 1\/38?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x + 5. Let m(r) = -2*r - 8. Let o(y) = 3*h(y) + 2*m(y). Let j(t) = 2*t**3 - 5*t - 5. Determine -2*j(d) + 10*o(d).\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 22.8 from -27.\nAnswer: -49.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -272*s**2*t**2 - 33*s**2*t + s**2 + 5668*s*t**2 + s*t - 2*t - 315 wrt t.\nAnswer: -544*s**2 + 11336*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-7)\/((-7)\/6) - -1. Let p = 0 - q. Let c = -5 - p. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-3*sqrt(76)\/sqrt(4) + (sqrt(76)\/(sqrt(4)*-2))**2) - (((sqrt(76) + 2*sqrt(76)*6)\/sqrt(4))**2 + 4).\nAnswer: -6449\/2 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14084666 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 17324 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -88*k + 231*k - 64*k + (k + 2*k - 2*k)*(2 - 2 + 2).\nAnswer: 81*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, 23, -3, 15939, -11 in descending order.\nAnswer: 15939, 23, 2, -1, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3.25 and -3.\nAnswer: 0.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (3*1)\/((5\/(-43))\/(-5))?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 519 - 285. Let j = -233 + h. Let z = 39 - 118\/3. Which is smaller: j or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s. Let k(d) = -66*d**2 + 8*d. Let f(u) = -u**2 + u. Let a(p) = 8*f(p) - k(p). Calculate v(a(j)).\nAnswer: 116*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + (0 - (-28)\/24). Let q(m) be the third derivative of -1\/6*m**4 + 0 - i*m**3 + 1\/60*m**5 - m**2 + 0*m. Calculate q(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 613626 a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.2 + 3. Let t = 33 + -34. Let l = -2\/113 + -335\/226. What is the closest to r in 1\/5, t, l?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (0 + (-6 - 5))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.09 and -299.752?\nAnswer: 299.842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 + 5*f**2 - 7*f + 6. Let m be z(4). Let a(x) be the third derivative of 2\/3*x**3 + 2*x**2 + 0*x + 0 + 1\/24*x**4. What is a(m)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 99, 2, 3 in decreasing order.\nAnswer: 99, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 233219120.\nAnswer: 2, 5, 1663, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5768494?\nAnswer: 2, 157, 18371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 265430 divided by -19.\nAnswer: -13970","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 AM and 5:03 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 6*p**2 - 12*p**2 + 13*p**2 - 8*p**2. Let z(s) = -70*s**2 + 1. Determine z(l(w)).\nAnswer: -70*w**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1954982203 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21\/6 + -3)*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a meter in centimeters?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 3:23 PM?\nAnswer: 7:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 - f**2 + 4*f - 4. Let h be z(2). Which is the closest to h? (a) 4 (b) 5 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75427 is divided by 15085?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -27213, -90322, -195503, -342756, -532081?\n\"Answer: -21036*t**2 - t - 6176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -464631*l*t**2 + 19*l*t + 5641*l + t wrt t.\nAnswer: -929262*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -285765\nAnswer: -1\/95255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 PM and 6:19 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -11\/7936 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 712 - 1220. Let v = l - -507.9511. Round v to 2 dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.6129 * -0.12.\nAnswer: -0.073548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18036 (base 10) to base 11.\nAnswer: -12607","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -3*o - 3*x, 0 = -5*x - 0*x + 15. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 - 2*c + 4. Suppose -21 = 3*u - 3*a, a + 3*a + 17 = -5*u. Let s(j) = -2*j**2 + 5*j - 7. Let i(k) = u*t(k) - 3*s(k). Is i(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) -1\/10 (c) -1 (d) 1\/4 (e) 11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-3) - 1*20\/(-15)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 100312321312 + 3?\nAnswer: 100312321321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28931039 is divided by 480.\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -4447, -1, 0.2, 2\/7, -0.5 in decreasing order.\nAnswer: 2\/7, 0.2, -0.5, -1, -4447","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3660 to the power of 1\/2, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*n - 3*n + 3*x - 3675, -4888 = -4*n - 2*x. Calculate the remainder when n is divided by 40.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*z - 24 = 17*z. Suppose -4*f = -z, 4*f - 5*f - 19 = -4*s. Solve v + 4*v - 1 = -4*q, 0 = -2*q - s*v + 3 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1119 - 1105. Calculate the greatest common factor of g and 301.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 + 10*o - 12. Let a be j(8). Suppose 6 = a*r + 22. Let k be r + (-4 - -3)*-19. Solve 0 = 3*g + k for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15110, -59734, -134084, -238160, -371962, -535490?\nAnswer: -728744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 11) in base 8?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4529*q + 4532*q - 21 = -3*d, 27 = d + 5*q for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n + 8752 - 8752.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 - 8*o - 7. Let d be (-2*2)\/((-2)\/4). Determine l(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/175*5*693\/(-198)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -14 + 5 + -3 - -13 - 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 455911?\nAnswer: 163, 2797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -962 + 482 + 480 - 4*w.\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -103, -439, -1009, -1807, -2827, -4063, -5509?\n\"Answer: o**3 - 123*o**2 + 26*o - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = 79 - 61 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 26 (b) 5 (c) 0 (d) 4 (e) -2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10 and 91755.9.\nAnswer: -917559","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.991 + -4.391. What is the second smallest value in -27, -2\/7, c, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 - 4*s + 6. Let b be 4*(-9)\/(-60)*5. Suppose 6 + 0 = q + b*w, -10 = 5*q + 5*w. What is a(q)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 758*w**3 + 0 - 377*w**3 - 370*w**3.\nAnswer: 11*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 4 = -2*r - l, 4*r = 3*l - 10. Which is the nearest to 1? (a) 1\/4 (b) r (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 380.844 to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = z - p + 12, 5*z + 2*p + 516 = 442 for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128*p + 58*p = -62*p + 160 for p.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -56.7 (c) -3241\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a + a - 2*a + 3*a - a + 0*a + (2*a - 4*a + 4*a)*(3 + 1 - 2) - 1 - a + 1 + 5574 + 129*a - 5574.\nAnswer: 132*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 568663 is divided by 9170.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00004963 to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 42\/5 of a day?\nAnswer: 12096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 84 and 15036?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2. Let q(b) = 4895906*b**2. Give q(a(j)).\nAnswer: 4895906*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/1988 and 29\/21.\nAnswer: 5964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 53002.84045 rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3690223886.\nAnswer: 2, 1845111943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 14231085 or 14231111?\nAnswer: 14231111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 18399341251 from 50.531.\nAnswer: -18399341200.469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 3*i - 7 = 26, 4*i = -4. Let u = -31 + l. Solve u*s + 25 = -0*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bo when two letters picked without replacement from {o: 4, b: 16}?\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 11826 - -11?\nAnswer: 11837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yxyyyyyyyxyyyxyyyyxy. What is prob of sequence yyy?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17617 is divided by 38?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -716423*k + 12166244?\nAnswer: -716423","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 - ((-12 + (18 - -5) - -8) + -53)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (14\/12)\/1 - -3 and 0\/3 - 71\/(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -2 (c) 0.1 (d) -1\/14 (e) -4 (f) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 89*q**5 - 4*q + 25 wrt q?\nAnswer: 1780*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 9550, 19299, 29048?\n\"Answer: 9749*m - 199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k\/(k\/(k*k*k*k*k\/(k\/k**1))))*k**4\/k)\/(k*k\/(k\/(k*k*k*k*k**8*k)*k)*k**2)*(k**(-1)\/k)**(27\/4)\/(k*k**(-1))**(-25) assuming k is positive.\nAnswer: k**(-61\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2814 or 2812?\nAnswer: 2814","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirty-four fifths of a centimeter?\nAnswer: 68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 4*o**2 - 3*o - 3. What are the prime factors of q(-2)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 192*v**2 - 2*v. Let n(d) = -2*d**2. Give t(n(m)).\nAnswer: 768*m**4 + 4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -157\/2 - -77. What is the second biggest value in 4, -1\/4, l?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-3)*15)\/1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/20)\/(2\/424). Let a(s) = -6*s**3 + 241*s**2 - 88*s + 1899. Let q be a(40). Which is bigger: q or g?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -40552062 by -6.\nAnswer: 6758677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 6 - 38*v**3 - 3 + 40*v**3 to the form f + n*v**2 + b*v + l*v**3 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -64466, -64474, -64492, -64526, -64582, -64666, -64784, -64942?\nAnswer: -65146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24 is divided by (14 - 4)*3\/2.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 0 + 93 + -1 + -1.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 - 3*c**2 - c + 3. Let b be g(3). Suppose b = 3*k - 9 - 21. Let z(v) = 2*v**2 + 4*v + 3. Let s be z(-2). Solve -2*j - s*j + k = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -259 - -175. Let k be (0 + p\/(-18))\/((-2)\/(-3)). Solve -k - 1 = 2*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34677938.\nAnswer: 2, 17338969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/1077824 and -121\/12.\nAnswer: 3233472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 + 0)*(4 + j - 4) - 9*j - 10*j - j.\nAnswer: -19*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express p + 2*p**2 - 20220*p**3 - p + 583 + 0*p + 20222*p**3 in the form f*p + h*p**3 + a + r*p**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 90 - 85. Suppose q*r = -y - 4 + 12, 4*y = 5*r + 7. What is the third derivative of 3*z**2 + 13*z**3 + 16*z**3 + 11*z**3 - 14*z**y wrt z?\nAnswer: 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -381993*k**5 - 42621*k wrt k?\nAnswer: -7639860*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 PM and 2:06 AM?\nAnswer: 131","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of 1\/3*z**3 - 1\/20*z**5 + 0 + z - 2*z**2 - 5\/12*z**4. Let q be v(-6). Solve -r + q = -5*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3501321, -7002637, -10503951, -14005263, -17506573, -21007881, -24509187?\n\"Answer: v**2 - 3501319*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 10378 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 187*c**2*g - 2738*c + 2160738*g wrt c.\nAnswer: 374*c*g - 2738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25 - 29. Let d(a) = -a**2 + 2. Let l be d(y). Let o be (12\/l)\/(19\/(-798)). Calculate the highest common divisor of 24 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(125) - (-1 + sqrt(125) + sqrt(125) + 1*sqrt(125)))*4 - (4 + (sqrt(125) - (1 + sqrt(125))) + -5*(1*sqrt(125) + sqrt(125)))))**2.\nAnswer: 80*sqrt(5) + 2004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 71 - 2. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -24693 + 0.3.\nAnswer: -24692.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 747753, 1495581, 2243409, 2991237?\n\"Answer: 747828*l - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, f: 1, c: 1, m: 3, a: 1}. What is prob of sequence mrm?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -874 = -12*j - 1162 for j.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = 2*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(1\/26))**(3\/29))**(-35) assuming i is positive.\nAnswer: i**(-105\/754)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40926 and 359?\nAnswer: 40926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 32 and 68.\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2\/11, -5, 41?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 3506*k + 38565. Give n(-11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 44 and 36?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (14\/(-8))\/((-50)\/200). Suppose -4*r - a + 12 = 0, -a = 3*r - 2*r - 3. Solve -b = -k + 3, -k - 2 = r*b + i for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28739 - 862349\/30. Calculate the common denominator of q and 67\/21.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = -5*m - 14 - 1, 0 = 2*i - 2 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 765778?\nAnswer: 2, 13, 29453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 + 19*w**2 + 66*w - 770. Calculate l(20).\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1506.6 - -1503.6. What is the smallest value in 15, j, 6?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 301693 divided by 43099?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2*d**2 - 3*d - 1. Let l(f) = 4*f + 54*f - 32 + 48*f**2 + 54*f**2 - 104*f**2. Let t be l(28). Suppose -2*q = 6*q + t. Calculate a(q).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -3*g + 41. Let u be m(6). Let o be u + -21 - (-7)\/(-1). Let i = -1 + 1. Which is the fourth biggest value? (a) 1\/5 (b) 0.03 (c) i (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 889306 and 22?\nAnswer: 889306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -3*u - 2*x, 0 = u + 2*x - 5 - 7 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -113827\/12 + 9479. What is the common denominator of l and -91\/620?\nAnswer: 1860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1.98, 0.3, -4717?\nAnswer: -1.98","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0 (b) -0.01 (c) -3758\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.24 - -0.77. Let v = -0.83 + y. Sort v, -1\/11, 1, 3\/4 in ascending order.\nAnswer: v, -1\/11, 3\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 84668?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -34*p - 403. Let k be u(-13). Solve 0 = -k*f + 42*f + 3 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - 32. Let p = l + 74. Let z be (-240)\/(-17 + 7) - -11. Calculate the highest common divisor of p and z.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 8 + (-13 - -9) + 4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71.1014787 seconds to weeks.\nAnswer: 0.00011756196875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11835118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 - (-24)\/(-4) - 21. Let t be 3*10*(-4)\/s. Solve -3*v = 10 + t for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 9*f**3 + f**2. Let c = -10 + 11. What are the prime factors of z(c)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1992607 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from hnnhhknznhznzhzhn?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-35)\/420)\/((-2)\/6).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -89357\/8 - -11170. Find u, given that f*u**2 + 3\/4*u + 3\/8 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g**2 + 5*g**2 + g**2)*(-16*g - 37*g + 14*g - 2).\nAnswer: -78*g**3 - 4*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/((z\/(z*z**(-2\/25)))\/z*z))\/z*z**(-5)*z**(-3)*z**(-12) assuming z is positive.\nAnswer: z**(-477\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 3*g = -12. Suppose 3*m = 5*d - 941, g*m = -0*m + 12. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -235, -954, -2159, -3850, -6027, -8690, -11839?\n\"Answer: -243*p**2 + 10*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 - 6*i**2 + 2*i - 2. Let w be f(-6). Let x be (-1)\/(w\/6 - -2). Suppose -5*g + 78 = -x*g. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = g - 2*x, g + 1 = 3*g + 5*x. Let u = -0.028 - -1.028. Sort u, g, -0.01 in decreasing order.\nAnswer: g, u, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 4 + (sqrt(448) - (sqrt(448) - sqrt(448)*-2)**2)*-1 + 0 + 3 + (sqrt(448) - ((sqrt(448) - (sqrt(448) - (0 + sqrt(448) + sqrt(448))))*3)**2))*-5.\nAnswer: 60455","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9024 (base 10) to base 11.\nAnswer: 6864","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 4) in base 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -70*r**2*z + 62844*r**2 - 3*r*z + 40158664*z - 2 with respect to r.\nAnswer: -140*r*z + 125688*r - 3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1769 is divided by 148?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1449065435?\nAnswer: 5, 23, 1223, 10303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 8 = 4*n. Suppose 5*j + 4*j - 99 = 0. Solve -n*f - 3*t = -j, -2*t + 1 + 14 = -5*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 605974292?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8 * 0.075.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 + 14. Suppose -3 = -5*w + 2, -3*p = 5*w - 92. Suppose 5*q + x*y - 66 = 0, -5*q + y = -3*q - p. Is 5 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1624, -1623, -1620, -1615, -1608?\n\"Answer: t**2 - 2*t - 1623","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19 (base 12) to base 3.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -127*t**2 + 74*t**2 + 67*t**2.\nAnswer: 14*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 + (12 - 3) - 7 - -3) + -8?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 0 - 21 = d, 4*t - 4*d - 4 = 0. Let l be ((6\/t)\/(-1))\/(6\/16). What is the fourth smallest value in 2, l, -0.06, 1\/2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1820.5284 rounded to the nearest 100?\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 20156.769114 rounded to the nearest one hundred?\nAnswer: 20200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 35194986 to the power of 1\/4, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1178 + 7209*w + 2343 - 2*w**2 - 1164)*(2 + 0 - 3).\nAnswer: 2*w**2 - 7209*w - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in thirteen fifths of a millisecond?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -8, -68, -134\/3, -2, -0.2?\nAnswer: -134\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38, 308, 772, 1430?\nAnswer: 2282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -401462, -401493, -401524, -401555, -401586, -401617?\nAnswer: -401648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 209*a + 24 = 217*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2 and 862.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -4, 0, -3\/2, -2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t. Suppose -3*b + 4*u + 19 = 0, 3*b + 3*u = 5 + 7. Suppose 2*q = -97 + 99. Let h(f) = 2*f**3 - f**2 + 9*f. Give b*m(v) + q*h(v).\nAnswer: 2*v**3 - v**2 + 4*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 99 and 351.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 39c1b (base 14) to base 6\nAnswer: 3014521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -5*b - 15, 2*l + 5 = -5*b + 3*l. Suppose 0 = -v + 5*c, b = 4*v - 6*c + c. Find n, given that 2\/3*n**2 + 2\/3*n**5 + 2*n**4 + 0 + 2*n**3 + v*n = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1882260?\nAnswer: 2, 3, 5, 10457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1064*f - 1502*f - 667*f - 610*f.\nAnswer: -3843*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -5*o - 24. Let j be p(-9). Suppose -12*g + 9*g + j = 0. Let w be 0 - ((-2)\/(-4))\/(g - 6). What is the biggest value in w, -5, 0.11?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/7)\/(2*(-6)\/672). Solve -h = z + 2, 26*z + h - o = 31*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*w + 8*w + 3 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 26 = -4*r + 8*r, 0 = 3*r + 5*a - 23. Calculate the greatest common divisor of 78 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*t - 3807 = -28*t. Let h = -415 + t. Solve 5*b - 15 = h*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6642 (base 7) in base 8?\nAnswer: 4516","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000308968008 rounded to 7 decimal places?\nAnswer: 0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 2\/11 (b) -0.1 (c) 2\/43 (d) -21 (e) 5 (f) -0.4 (g) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*u + 8 = 17*u + 4*r, 3*u = -11*r + 54 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1871430?\nAnswer: 2, 3, 5, 11, 53, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(704)*-2)**2 - sqrt(704).\nAnswer: -8*sqrt(11) + 2815","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 269031 is divided by 82.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 137816*u**4 + 16*u**2 - 120*u?\nAnswer: 3307584*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (64\/72 + (-182)\/252)*24. Put 11, 96, p in descending order.\nAnswer: 96, 11, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*w**2 - 5*w**2 - w**2 + 7*w**2.\nAnswer: 10*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -244 = -2*i - 3*d - 235, 10*i = 2*d - 6 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7174 and 68?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 4605*c + 11.\nAnswer: 4605*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -2\/11, 0.4, -4, 0.5, 25196?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 50775 + -27251. List the prime factors of q.\nAnswer: 2, 5881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttytvtttv. What is prob of picking 2 v?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -205 - 188. Let m be a\/131 + (-2)\/(2\/3). Let j(g) = -3*g**3 - 3 + 7*g**2 - 2*g**2 - 9*g + 4*g**3. Calculate j(m).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8471?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 40644 + -40646. Let w be 2*((-6)\/(-10))\/3. Which is the biggest value? (a) w (b) s (c) 43\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-361)\/38*((-2373)\/3 - -3) a multiple of 111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + -2023030003?\nAnswer: -2023030002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 PM and 6:10 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2652471133 - 0.\nAnswer: 0.2652471133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 33 in -5, 0.04, 0.239, -1\/4, -0.5?\nAnswer: 0.239","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 32784165839 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -3*w + 155. Let q be u(-11). Let i = q + -256. Is -275\/4 <= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p**2 + 195480*p**3 + 0*p**2 - 2*p**2 - 195478*p**3.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/4 of a tonne in kilograms?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(468)\/(sqrt(45)\/sqrt(5)))\/(6*sqrt(64)))**2.\nAnswer: 13\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11 - 77?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/26, 2, -2, 5, 1?\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 109 (b) 0.26 (c) -32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 7\/((-105)\/(-110))*3\/(-2)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 64\/(-48)*6\/(-4). Suppose x*z + 2*p + 6 = -3*p, -4*z - 42 = -5*p. Suppose 0 = 5*f - 20, -2*l + 4*f = 23 + 7. Which is smaller: l or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32\/360*6\/(-4).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -47, -111, -179, -251, -327, -407?\nAnswer: -491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 5 (b) -15 (c) 1\/4 (d) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x. Let d(k) be the third derivative of -7*k**5\/60 + k**4\/24 - 37*k**2. Calculate d(l(a)).\nAnswer: -28*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2*b**2 + 2*b - 5 + 7 + 0*b + 0*b. Let t(x) = 4*x**2 + 4*x + 4. Give 3*t(n) - 5*u(n).\nAnswer: 2*n**2 + 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -33, 63798 in descending order.\nAnswer: 63798, -2, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8657 - 4925. List the prime factors of n.\nAnswer: 2, 3, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 4*h - 23 = 0, x = 3*h + 3 - 4. Put x, -1, 3 in descending order.\nAnswer: x, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (32\/(-48))\/((-1)\/18) and 162?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -13337 or -160031\/12?\nAnswer: -160031\/12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -47*g**3 - 7*g**2 - 4*g + 10. Let y(x) = -32*x**3 - 5*x**2 - 3*x + 7. Give 5*o(t) - 7*y(t).\nAnswer: -11*t**3 + t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4118749 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 187, 161, 107, 19, -109, -283, -509, -793?\nAnswer: -1141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 96606 (base 13) to base 3\nAnswer: 111210002100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 2*m**3 - 94*m**2 + 737*m + 118. What is c(37)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -20*d**3 + 238*d**2 + 686*d - 30. What is j(-3)?\nAnswer: 594","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 11) to base 2.\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-765)\/6)\/(8\/(-128)). Let l = 3719 - h. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -10 - 1) + (140 - 142) - 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k**3 - 6*k**2 - 4*k + 3. Let y be l(-4). Suppose o - 7*o = -102. What is the greatest common factor of o and y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104)\/(sqrt(8)*-1 - sqrt(8)) + sqrt(52)*3 - (-2 + sqrt(156)\/(sqrt(24)\/sqrt(2))))*1)**2.\nAnswer: 18*sqrt(13) + 1069\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -3 + 5 - a**2 + 2 - 3. Suppose x = 5*x. What is the units digit of r(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 38205 and 42489.\nAnswer: 180365805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -18*v - 29. What is the units digit of l(-17)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45)\/(-2*sqrt(3)))\/sqrt(3) + (sqrt(480)\/sqrt(8)*5 + sqrt(60))\/sqrt(12).\nAnswer: 11*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -370 divided by 14418?\nAnswer: -185\/7209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 64\/81 and 139\/42822?\nAnswer: 128466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 8 = -2*d, -6*n = -2*d - 2*n - 2 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 3*g = 348, -4*k - 3*g + 646 = -56. List the prime factors of k.\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 + 4377.\nAnswer: 4376.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -3, 7, -1, 2 in ascending order.\nAnswer: -10, -3, -1, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 5*o = -16 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40528 is divided by 6669?\nAnswer: 514","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 + 12*i**2 + 11*i + 4. Let c be f(-11). Suppose c*d - 1597 = -h + 1, -2*d - 1586 = -h. Round h to the nearest 100.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 4*t + 36 = 0, -2*w + 4*t - 90 = 6*t. Let m = w - -1106\/23. Which is the nearest to 0.1? (a) -0.2 (b) -28 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -139, -2\/5, 1, 2120, 1.7, -5, -3\/8?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7349*l**2 + 93*l + 31?\nAnswer: -14698","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.206 + -2.306. What is the nearest to 12 in -2\/19, n, 1, 0.06?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1469*n**2 - 1259*n**2 + 2557*n**2.\nAnswer: -171*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 55.83148mg?\nAnswer: 0.05583148","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/(-2) + 65\/(-6) and (-114)\/(-437)*(-3)\/(-2)?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2065 and 4267529.\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2630*v = -2632*v - 33*m - 28, 5*m = -4*v - 56 for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-13))\/(257\/(330759\/1188)).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3350902, 3350809, 3350716?\nAnswer: 3350623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 60 = -6*h. Put h, -1, 2, -5 in descending order.\nAnswer: 2, -1, -5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-173232)\/(-2988) + (-68)\/(-2822)?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75903 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 717.545km to micrometers.\nAnswer: 717545000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -211 times 0.08\nAnswer: -16.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3035?\nAnswer: 5, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-15*v + 34*v - 3*v)*(-1 - 1 + 3) to the form l*v + m and give l.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 plus 5?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.96528 and 0.4.\nAnswer: 1.586112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 6 + 3*l - 10 + 2 - 13*l. Let j(d) = d. Let g(b) = -b**3 + b**2 - 18. Let s be g(0). Let h(m) = s*j(m) - 2*v(m). Differentiate h(c) with respect to c.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 52416 and 12.\nAnswer: 52416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12820.640076 - -12821.1. Let a = -107 - -106.54. Let y = c + a. Round y to five dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 + -11. Suppose -3*z + p*z = 20. Suppose -5*r + 20 = -0*r. Solve 4 + z = -r*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 1) + 2 - 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**1)**(-35)*g**(-3)*g*g\/(g\/(g\/g**(-3))))**47 assuming g is positive.\nAnswer: g**(-3196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-16)\/6)\/(2\/6). Let s(r) = -20*r**2 - 8*r + 8. Let u(p) = -13*p**2 - 5*p + 5. Calculate w*u(t) + 5*s(t).\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -92 + 91. What is the closest to a in 3, 7, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 718 is divided by 491?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 + 3*r**2 + 8*r + 3. What is k(5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 148*f**2 - 334*f - 2050. Give o(5).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36845?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(143)*1*3)\/(sqrt(1331) - (sqrt(1331) + sqrt(1331) + (sqrt(1331) - (sqrt(1331) + sqrt(1331)*-1))) - -1*sqrt(22)\/sqrt(2)))**2*-2.\nAnswer: -234\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.627213 plus 0.5?\nAnswer: 1.127213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*-2*sqrt(88) + sqrt(88) - sqrt(88))\/sqrt(4))\/((-1*sqrt(128) - sqrt(128)) + (sqrt(72)*1 - sqrt(72))).\nAnswer: sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.1577 + 186592.9.\nAnswer: 186594.0577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*t - 2166546 = 555834. Suppose -226113 = -55*l + t. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2. Let g(m) = m**2 - 2. Give g(z) + 4*w(z).\nAnswer: 5*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -62\/33 and -47\/432?\nAnswer: 4752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 969 and 1957?\nAnswer: 99807","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119) - 4*sqrt(119)*-1)\/sqrt(7).\nAnswer: 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*f - 4*f. Let z = f + -18. What is the tens digit of -155*((-16)\/(-10) - z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-141)\/(-9) + -6 - 0)*(-3)\/(-1).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189 is divided by 5\/((-5)\/(-2)) + 64\/16*4?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -60*v - 240. Let k be a(-4). Factor -1\/2*c + 0 - 1\/2*c**5 + k*c**4 + 0*c**2 + c**3.\nAnswer: -c*(c - 1)**2*(c + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 50 + -50.5. What is the third biggest value in -1, v, 3, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 + 8*w**2 - 2*w - 2. Let g be y(-6). Suppose 4*m + 2*z = 26 - g, -3*m - 5*z = 56. Is 6 a factor of 4\/(m\/(-9)) + 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2686, -554, -3756, -6902, -9974, -12954, -15824, -18566?\nAnswer: -21162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.066747909 rounded to 4 decimal places?\nAnswer: -0.0667","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.085 * 0.19\nAnswer: -0.01615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (20\/(-16))\/(4\/(-16)). Let x be (-150)\/(-825) - s\/(-33). Factor -1\/3*a**4 + 1\/3*a + a**2 - x*a**3 - 2\/3.\nAnswer: -(a - 1)**2*(a + 1)*(a + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - -1) + 22\/(-18). Let p be -1 + -2 + (-2022)\/(-21). Let x = -93 + p. What is the second biggest value in 0.3, x, h?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30056 to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22483, 22448, 22383, 22282, 22139?\nAnswer: 21948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 87 - 89. What is the closest to 4 in -4, q, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34*(-6)\/408*(140\/25)\/(-7)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1509747 + -603971. Let h = 548776 - i. What is h rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*6\/30*10. Suppose s - 4*d = -1, 5*s - 1 = 3*s + 5*d. Suppose -2*a = -3*a + s. Solve a*x = -n*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3124, -6\/7, 52?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -41 + 43. Suppose 3*x - g - 5 = -x, -4 = -5*x + k*g. Suppose 5*v = d + d + 67, -x*d = 2. Calculate the remainder when 22 is divided by v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2706 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 4, -129 = -0*r + 5*r + s. Let q = -5 - r. What is the remainder when 32 is divided by q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of 197*s**7\/210 + s**6\/60 + s**5\/20 + 361*s**4\/6 - s**3\/3 + 58*s**2 + s + 2. Find the second derivative of v(n) wrt n.\nAnswer: 2364*n**2 + 12*n + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/30 and 97\/150.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2. Let b(k) = -5*k**2 + 57*k. Determine b(p(j)).\nAnswer: -5*j**4 + 57*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*y - 24*y - 42 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iifx when four letters picked without replacement from {i: 4, x: 2, f: 1, r: 1}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of -63*a**4\/8 + 683*a**3\/2 - 384*a**2. Find the first derivative of q(m) wrt m.\nAnswer: -189","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 98518610 divided by -71030\nAnswer: -1387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4454 - -4560.24. Let n = -1.76 - w. Let j = 108.5 + n. Which is the closest to -5? (a) 4\/7 (b) 1 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 - 5*p + 2. Let m be z(-4). Find the second derivative of -a - 5*a**3 + m*a - 4*a**3 + 10*a**3 wrt a.\nAnswer: 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 788?\nAnswer: -1\/394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 591*(-19 - (-11150)\/75)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 + 8*y + 4. Let p be i(-8). Suppose 0 = -3*g + p - 1. Let z be (-1)\/(18\/15) + 1. Which is bigger: g or z?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 687, 5352, 17949, 42444, 82803, 142992?\nAnswer: 226977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 5, b: 11}. What is prob of picking 2 b and 1 l?\nAnswer: 55\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 3*d = -3*c + 500, 2*c = 4*d + 328. Suppose -21 = -2*t + t. Calculate the greatest common factor of c and t.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*(-5)\/(-3) - (-4)\/12 - (-730)\/40. Find h, given that -81\/4*h - 3\/4*h**3 + 27\/4*h**2 + k = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 823\/3 + -274. Let l = -11.69 - 0.31. Let f = l - -17. Which is the nearest to i? (a) 1\/3 (b) 0 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-1 + sqrt(17) + 5 + -1)*-3)**2.\nAnswer: 66*sqrt(17) + 274","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 153756 = 153247?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k + 1. Let x be v(2). Solve -3*l = -i - x*i + 14, -l = i - 7 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 4*f**2. Let b(h) = 21 - 1018*h + 511*h + 509*h. Determine b(r(a)).\nAnswer: 8*a**2 + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101*b**2 + b - b.\nAnswer: -101*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 65\/18 - 28\/9. Factor j**3 + 0*j**2 - 1\/2 + l*j**4 - j.\nAnswer: (j - 1)*(j + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -8*v**3 + 1 - v**3 + v**3 - 2*v**3 - 7*v. Let i(r) = r**2 - 7*r + 8. Let w be i(6). Let z(p) = 3*p**3 + 2*p. Calculate w*d(b) + 7*z(b).\nAnswer: b**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 346 = -3*m, -5*m + 10*i = 15*i + 590. Let u be 145\/m + (-4)\/((-16)\/5). Let b = 1.2 - 0.2. Put 2\/9, u, b, -0.2 in decreasing order.\nAnswer: b, 2\/9, u, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.18 take away 106286860?\nAnswer: -106286859.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 65 and 3580.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u**2 + 236*u - 1225. Let o be r(-123). Solve -8 = -o*y + 4*z, -7*y - z = -5*y - 11 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3192\/48)\/(-19)*(-91)\/98?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/19862026 and 85\/92958.\nAnswer: 59586078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87853365.\nAnswer: 3, 5, 17, 41, 2801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 60122501 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3039*h*u**3 - 96*h*u**2 + 299*u**3 - 34*u**2 + 9*u - 3 with respect to h.\nAnswer: 3039*u**3 - 96*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 15 = 0, -3*n + 78 = o - 0*o. Suppose -3*v + 49 = 2*b, b = 5*b + 5*v - o. Suppose 3*m + b - 6 = i, -i = -2. Sort m, -1, 4, 2 in increasing order.\nAnswer: m, -1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15.7759kg to milligrams.\nAnswer: 15775900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 0*z = -2*v + 1612, 0 = 5*v + 20. Let l = -136 + z. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - 5*q + q)*(0 + 0 - 2) - 5*q - 12*q + 0*q + 0*q + 3*q - 5*q.\nAnswer: -13*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + a + a + 14, -q = 2*a + 8. Suppose -3*j + q = -j, -5*j = -5*v - 30. Suppose -p + 0*z + 5*z = -23, 0 = -4*p - 4*z - 4. Sort v, p, 0.\nAnswer: v, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-7))\/(((-3953)\/(-59))\/7504)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1316227\/3 or 438742?\nAnswer: 1316227\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 35*c**4 + 2*c**2 - 37*c**4 - 4*c**2 - 1 in the form m*c**3 + g*c**2 + a*c**4 + f*c + i and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 + b**2 + b. Let s(n) = -11*n**3 - 4*n**2 + 20*n. Let r(t) = 2*h(t) + s(t). Find the third derivative of r(a) wrt a.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b. Let p be (-21)\/35 - (-86)\/10. Let i be (-68)\/(-7) - p\/(-28). Let t(w) = 2*w**2 + i - 10. Determine t(n(d)).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5 + 6)*(-190*o + 95*o + 102*o + 66).\nAnswer: 7*o + 66","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -11 times -641\nAnswer: 7051","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2325?\nAnswer: 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (34\/((-748)\/66))\/3*-26.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**5 + b**4\/3 + 2*b**3\/3.\nAnswer: -b**3*(b - 1)*(3*b + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 minus 219676361491?\nAnswer: -219676361493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y - 115*y**3 + 3*y + 405*y**3.\nAnswer: 290*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 26842946987 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2853 - -7342. Suppose 2*x - 5466 = 3*f, 3*f + 4*x + d = -959. Round f to the nearest 100.\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 3*k + 4 = 2*r, 0 = 4*r + 4*k for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m + 9. Let c be p(-11). Let n(j) = 4*j - 1. Let r be n(1). Let a be 0*(2 + r\/(-2)). Sort a, c, -4.\nAnswer: -4, c, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 2*z = 18, -z - 6 = -r + z. Suppose r*k - k = 0. Suppose 4 = 5*y - 1. Solve f - 6 + y = k for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 6*f = 4*r - 151, -5*f - r = 131. Let c be 11\/11 - f\/1. Calculate the highest common factor of 28 and c.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19218421 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 10) to base 3\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -43373, -86838, -130291, -173726, -217137, -260518?\n\"Answer: f**3 - 43472*f + 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (248 + -248 + (-1 + -1 - -10) - -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-10)\/20)\/((-82)\/(-4)). Which is the closest to -0.1? (a) -1 (b) -4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 131.8 to the nearest integer.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 (base 12) in base 3?\nAnswer: 21110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 6 + 3)*(-20*d + 63*d - 22*d) + 3*d + 3*d - 5*d to c*d + o and give c.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22044.03 - -22044. Sort 1, c, 506, -4 in decreasing order.\nAnswer: 506, 1, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 + (-37 - -39) + (40 - 19).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddxxxdgxxddxxdddxdd. What is prob of picking 4 x?\nAnswer: 35\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -650*r**2*x**2 + 1792*r**2*x + 8*r**2 + 67*r*x**3 wrt x.\nAnswer: -1300*r**2 + 402*r*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 15 = 10 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 437 and 1541?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llll. Give prob of sequence llll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 171578 divided by -7.\nAnswer: -171578\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -18226, -18218, -18210, -18202, -18194, -18186?\n\"Answer: 8*o - 18234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -655 + 1523. Suppose f + 3*a - 296 = 0, f - o = -2*f + a. Let g be (-4)\/(-14) - f\/(-14). Solve q - g = -5*j, -q = -2*j + q + 6 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-seven fifths of a decade?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 8111096?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -76617 - -153793. List the prime factors of i.\nAnswer: 2, 11, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 96 + 348\/(-48)*16\/4.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -16 + 4*r**2 + 3*r**2 + 16. Let y(p) = 122*p. Determine y(k(c)).\nAnswer: 854*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2\/7 - 62*z\/7 + 132\/7.\nAnswer: -2*(z - 2)*(z + 33)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -16 and 0.1538?\nAnswer: -2.4608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11220 + -10?\nAnswer: 11210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 + 7*d**2 - 2. What are the prime factors of x(-6)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50187 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + 12022102100?\nAnswer: 12022102111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6*-1*(-3)\/(-9). Let k be 4 + v + (-3 - -4). Suppose k = -4*m - 13. Which is the nearest to 2? (a) m (b) -1 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 4 = 4*k - 9, 0 = -3*h - 2*k + 5. Let a = h - -4. Solve a*s - 5 = 4*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -425 - -430. Solve -2*i = 2*i - 4*k - 20, -3*k = -o*i + 19 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 + 3*m**2 - 2*m + 9. Suppose 12 = 2*i - 4*g, -4*i - 4*g - 18 = 18. What is u(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -632*b**3 + 2*b - b - 795*b**2 + 1586*b**2 - 789*b**2 to v*b**3 + y*b**2 + p + l*b and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 344 and 9202?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-864)\/384*282\/(-27).\nAnswer: 47\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 6 = -o, -4*w + 20 = -2*o. Suppose -w*r - 4*m = -597000, -m = -3*r - 2*m + 597000. What is r rounded to the nearest ten thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29403 a multiple of 99?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 70.28 rounded to zero dps?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 + 15\/3 + -10. Put -16, 5, g in decreasing order.\nAnswer: 5, g, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10c20 (base 16) to base 10.\nAnswer: 68640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 177\/4 + -44. Sort 20, d, -5 in decreasing order.\nAnswer: 20, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-70)\/(-48))\/(76\/1140*-75)?\nAnswer: -7\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -178*y + 258 = 1504 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 885, 3531, 7939, 14109, 22041, 31735?\n\"Answer: 881*w**2 + 3*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.2532 to 1 decimal place.\nAnswer: 3.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(2 + sqrt(1053)) - (-5 + -1*sqrt(1053)))**2.\nAnswer: 486*sqrt(13) + 9558","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(297) - (sqrt(297) - (1*sqrt(297) + sqrt(297)))) + sqrt(297))\/sqrt(9) - sqrt(33) - sqrt(165)\/(sqrt(5)*2))*3)\/(-1*-1*1*sqrt(432)).\nAnswer: 3*sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3402 or 3472?\nAnswer: 3402","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1603?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 844394545.\nAnswer: 5, 311, 543019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 g when two letters picked without replacement from gwg?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 - z + 24. What is the units digit of c(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4\/3, -3\/118, -3\/7?\nAnswer: -3\/118","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1\/3*o**5 - 4\/3*o**2 + 0*o + 1\/3*o**4 + 0 - 4\/3*o**3 = 0 for o.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 + (-14)\/(-4))*2. Let i be (-5126)\/(-2) - (-2 + b). Suppose -i = -0*o + 4*o. What is o rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -63410 or 686?\nAnswer: -63410","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 d when two letters picked without replacement from {d: 2, r: 3}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1041011 is divided by 119.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160603*q - 160604*q + z + 6 = -7, -q + 0*z + 3*z + 31 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 60 and 480?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*f**2\/7 + 89648*f\/7 + 985644\/7 = 0. Calculate f.\nAnswer: -22401, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2290 and 330.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 less than -1.54?\nAnswer: -1.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t + 1. Let b(f) = 8*f - 4. Let u be 1*(3 + -2)*-1. Let y = -210 - -208. Let s be (y - (-6)\/5)*5. What is s*n(o) + u*b(o)?\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 116 = 727*y - 722*y, 0*y + 164 = 4*n - 2*y for n.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/((g*(g*g\/((g\/(g**0\/g)*g)\/g*g))\/g*g)\/g)*g)\/(g**(-2\/9)\/g))**(-1\/15)*((g**(-1))**(-2\/73))**22 assuming g is positive.\nAnswer: g**(3166\/9855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 5:54 AM?\nAnswer: 4:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 n, and 1 u when three letters picked without replacement from nnrmrcrucr?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2269684597 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 + 4*f**2 + 3*f + 4. Let p be 20\/(-8)*(-24)\/(-15). Calculate o(p).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 72 and 81.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 55641 + 2?\nAnswer: 55643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 256867.\nAnswer: 13, 19759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a0ac (base 16) in base 9?\nAnswer: 172280","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*y + 3*s + 550 = 17*y, y + 4*s - 87 = 0. Find the second derivative of -y*p + 63*p**4 - 34 + 38 + 109*p wrt p.\nAnswer: 756*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1199260185?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -219*w**2 - 10. Let u(x) = -313*x**2 - 15. Let t(d) = -10*n(d) + 7*u(d). Suppose 2 - 12 = -2*v. Let k(y) = -6*y**2 - 24. What is v*k(f) - 24*t(f)?\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 394 and 193394.\nAnswer: 38098618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -j + 1. Let s be 1*2\/(j\/(-117)). Suppose 4*i - s = i. Calculate the remainder when 37 is divided by i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30 + 33. Let i = 980 + -2990\/3. Let l = 17 + i. What is the second biggest value in q, 4\/3, 0.5, l?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 12\/19, -0.1, -0.6?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 319 and 13657589.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 125615 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 - f + 1. Let s(p) = p**3 + 3*p**2 + 4*p + 2. Let j be s(-2). Let u be h(j). Let l(w) = 2*w**2 - 7*w. Is l(u) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1890*x**2 + x - x.\nAnswer: 1890*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/42 and -13\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a millennium in months?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 242*i**3\/5 - 429027434*i**2\/5 - 31202000*i - 14182728\/5 = 0.\nAnswer: -2\/11, 1772841","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 - 13*m**2 + 14*m - 19. Give s(-14).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -112110001101121 (base 3) in base 9?\nAnswer: -15401347","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 53\/13 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 486247 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((18\/(-30))\/(12\/240))\/(-1)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(160) - (sqrt(160) + (sqrt(160) - sqrt(160)*-4)))*-1)\/(sqrt(500) + 4*sqrt(500)*-1 + sqrt(500)*-1*-6).\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of 2*q**6\/3 - 12*q**5\/5 + 2*q**4 - 21. Solve i(f) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1051088822321+-1.02\nAnswer: 1051088822319.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -0*w. Let c = -2 + w. Does 17 divide c\/5 - (-516)\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1444189, 5776811, 12997837, 23107267, 36105101, 51991339?\n\"Answer: 1444202*v**2 + 16*v - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -44 (b) -3 (c) 5\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 c when two letters picked without replacement from {s: 10, c: 1, e: 2, b: 1}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -271674 divided by 3354?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 18230010 = -5*h, 3*h - 10938008 = 504*p - 508*p. What is h rounded to the nearest 10000?\nAnswer: 3650000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8194857*c*q**2 + 127918100*c - 6*q**4 - 2 wrt q.\nAnswer: -16389714*c*q - 24*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 5*g**2 - 5*g + 15. Let q be o(5). What is the hundreds digit of q - (0 + (-3 - 1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -93, 1, -2, 3 in increasing order.\nAnswer: -93, -2, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ydr when three letters picked without replacement from qrrblqrdqby?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 - h - 1. Let t(m) = 3*m**2 - 5*m - 2. Suppose 1 = 5*u - 4. Let r(s) = u*t(s) - 3*i(s). What is the remainder when 8 is divided by r(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 6, n: 5, h: 2}. Give prob of sequence hnmn.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -201 - -286. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*z + 5*z - 4*z)*(-826*z - 149 + 234 - 85) to the form y + j*z + i*z**2 and give i.\nAnswer: 1652","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -943 + 939. What is the nearest to -9\/10 in 0.3, t, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 - 4*k + 18. Let q be u(-8). Let j(a) = a**3 + 14*a**2. Let g be j(q). What are the prime factors of (-1 + g)*-176 + -2?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0, -5, 6, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i + 26. Let v(r) = -2*r**2 + 26*r - 60. Let g be v(3). Determine b(g).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1123 + -1099. Solve -17*d + 35 = -m*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-13) - (-17 + -28 + (-115983)\/(-2574)).\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of -a**7\/7 - a**6\/6 + 260*a**3\/3 + 35. Find the third derivative of g(q) wrt q.\nAnswer: -120*q**3 - 60*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 4*u + 26, 0*u - 21 = -2*i + 3*u. Suppose 5*t = 23 - i. Calculate the greatest common divisor of 12 and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13\/24 + 767\/24. Let q = 34 - v. Which is smaller: q or 3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 7*p + 558 = 3*s, -s + 186 = -2*p. Let j = 191 - s. Solve -3*b + 6 = -5*y - j*b, 0 = 2*y - 3*b + 10 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 PM and 1:57 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -224*u**2 + 12*u + 65. Let m(k) = 111*k**2 - 6*k - 30. Give 13*m(w) + 6*s(w).\nAnswer: 99*w**2 - 6*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2331*j**3 + 2480*j**3 - 4980*j**3.\nAnswer: -169*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -469*y**2 - 2*y**3 + 469*y**2.\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/1*3)\/((-39)\/(-65)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 152424 by 29.\nAnswer: 5256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21 - -23. Suppose 4*h = 16, -h = -2*m - u*h + 70. Calculate the remainder when m is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/4*u - 1\/4*u**2 + 5\/2.\nAnswer: -(u - 5)*(u + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1455181, 2910355, 4365525, 5820691, 7275853, 8731011, 10186165?\nAnswer: 11641315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/(c*c**(-4)))*c\/(c*c**(2\/15)*c))\/(c**(-6\/5)\/(c\/(c\/(c*((c\/(c\/(c*c*c**1)))\/c)\/c)))) assuming c is positive.\nAnswer: c**(-14\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 456 is divided by 206.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 f when two letters picked without replacement from ihf.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2310.655 litres in millilitres?\nAnswer: 2310655","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2164 = 37*q - 648. Solve q*u = 80*u - 4 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2607 - -18248\/7. What is the second biggest value in -1.97, c, 2, -5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor w**3\/7 + 415*w**2\/7 + 1469*w + 65741\/7.\nAnswer: (w + 13)**2*(w + 389)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*h - h = 24 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*v - 17*v = -48. What is the units digit of ((-2)\/((-32)\/44))\/(2\/v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of 134 + 1\/2*t**2 + 2*t. Give d(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -133695395\/6 greater than or equal to -22282565?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2088 a multiple of 116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1155)\/(-84)*8244\/2519.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -7, 0.5, -2\/7, -2, -1\/212?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 108517 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-4))**(-5\/3)*l*l**(4\/11)*l*l\/(l\/l**(2\/17)*l) assuming l is positive.\nAnswer: l**(4571\/561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, -20, -50, -92?\nAnswer: -146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 54529.81 kilograms in grams?\nAnswer: 54529810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1433*m - 142*m - 221*m + 3069*m + 754*m - 207*m.\nAnswer: 4686*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of -5*u**3\/2 - u. Let q(f) be the third derivative of f**4\/24 - 1970*f**2. Give q(y(d)).\nAnswer: -15*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 - 14*q**2 - 21*q**2 + 10*q + 6 - 4 + 20*q**3 = 0 for q.\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -3 (b) 2\/5 (c) -1\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -329374 rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/7 in 2, 0, 2\/7, -9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.052767165509 + -4\nAnswer: -4.052767165509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1665, -3271, -4873, -6471?\nAnswer: -8065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.9 (b) 2 (c) -849 (d) -4\/5 (e) -0.029\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 94608.9207 - 94604. Let i = -0.0793 - k. What is the third biggest value in -0.3, 7, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0275 rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*q + 2*q - 12*q + q.\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20 + 19.9. Which is the nearest to j? (a) -1\/2 (b) 2\/5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 + 211704.2527\nAnswer: 211703.9527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 7690 to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) 0.4 (c) -0.04 (d) 474\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22212220 + 22200?\nAnswer: 100012120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1962ff5 + 5?\nAnswer: -1962ff0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -84 + 83.6. Let h = -0.7 + 0.4. Let y = h + 0.2. What is the closest to 0.2 in l, y, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 882 and 0.4.\nAnswer: 352.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1134*f = 1135*f + 5*a - 11, 3*f - 7 = -2*a for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, p: 1, n: 9, j: 2}. Give prob of sequence ln.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 379*g**2. Let y(m) = -6*m + 1059. Determine y(o(f)).\nAnswer: -2274*f**2 + 1059","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of 0 - 1\/20*a**5 - 5\/2*a**2 - 7\/6*a**3 + 3\/4*a**4 + 41*a. Calculate g(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8882*h + 2517*h + 4488*h.\nAnswer: -1877*h","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*c + 4*r = -42*c - 739366, -3*r = -3*c + 443616. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*2*(1 + 5*((sqrt(112)\/sqrt(2))\/sqrt(2) + 3))**2*-1.\nAnswer: -5736 - 1920*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/16 and 1175\/(-1500) + 1 + 2\/(-6).\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10069952 divided by -32\nAnswer: -314686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -8 - (4 - (6 + 4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9993 is divided by 92.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*l**3 - 942*l**2 - 9*l**4 + 1905*l**2 - 935*l**2 + 1 wrt l.\nAnswer: -216*l + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 30410391, 30410393, 30410395, 30410397, 30410399, 30410401?\n\"Answer: 2*x + 30410389","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (250\/(-6))\/(-25)*(-36)\/(-750)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 89203 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, v: 2, r: 4, w: 6}. What is prob of sequence zwww?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together 48.406 and 1628944.\nAnswer: 1628992.406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 486.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/((-6)\/(-210)*-5). Let q(v) = -2*v - 3. Let k(g) = 3*g + 5. Determine j*q(t) + 5*k(t).\nAnswer: t + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/14 - (0 - -1) - (-156)\/21. Let c(t) = -t**3 + 7*t**2 - 2*t + 4. Calculate c(l).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 102919217?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 0 - -1) + 5 - (10 + -5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 9\/10 of a decade?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pplll. Give prob of picking 2 l and 1 p.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.068, 663, 38 in ascending order.\nAnswer: -0.068, 38, 663","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -51*r**2 + 9*r - 21. Let k(i) be the second derivative of -5*i**4\/12 + i**3\/6 - i**2 + 4612*i. What is -42*k(v) + 4*w(v)?\nAnswer: 6*v**2 - 6*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1058875 a multiple of 342?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 4 + 3*i - 3*i + 5*i + i**2 + 0*i. Let g be b(-4). Solve -3*n + 8*n - 5 = g for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -124 + 84. Let w = p - -45. Suppose 0 = w*b - 2*d - 50, -3*b + 0*d = -d - 30. Calculate the smallest common multiple of 2 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 83*j - 68*j - 150. Solve 10*s - 12*s = -j for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 646733 to the power of 1\/2, to the nearest integer?\nAnswer: 804","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 694671 is divided by 134?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 7) to base 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 - (20 - 6 - (66 - 47))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 364 divide 11037517?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 48*(336\/960)\/((-126)\/(-24))\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.009 and -2.110002?\nAnswer: -0.018990018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-12))\/((-33)\/924)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.366 times 4?\nAnswer: 1.464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2\/5 (b) 1 (c) 77 (d) 0.5 (e) 4 (f) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1046*t - 957*t + 1602 = 0 for t.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -4*w + 3. Let g be f(-5). Suppose -5*a = 2*o - 10, a + a = o - g. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of -3*v**4\/8 + 19*v**2 + 20. Let k(m) be the second derivative of q(m). Let u(z) = z. What is k(u(l))?\nAnswer: -9*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 0.95?\nAnswer: 3.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6*4\/32)\/((-33)\/(-1144)). Let f be 2\/(-4) + 195\/b. Let j(k) = -k + 4. Let q be j(6). Does q = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28473*d**2 + 237 + d - 14160*d**2 - 3*d**5 - 14205*d**2 wrt d?\nAnswer: -60*d**3 + 216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*v - 368 = -439. Put 1, v, 269, 2 in decreasing order.\nAnswer: 269, 2, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28472.93 decades to months.\nAnswer: 3416751.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(6*(sqrt(98) + -1) + -4) - (2 + -2*sqrt(98)*-1 + 0))**2.\nAnswer: -3080*sqrt(2) + 10284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 208\nAnswer: -624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of 5*w**3\/6 + 3*w. Let d(f) = 4*f. Give d(n(m)).\nAnswer: 20*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (r + 0 + 0)*(-r + 7*r + 8*r) + (r - r - 2*r**2)*(0 + 1 + 1) - 4*r**2 - r**2 + 3*r**2 in the form q*r + o*r**2 + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) 8 (c) 186\/35 (d) -4 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 + 9. Let f(s) = 6*s**2. What is h(f(l))?\nAnswer: -36*l**4 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (18\/(-3) + 2)\/(-1). Let i(k) = -2 - 36*k**2 - 23*k**2 - k**3 - 3 - 2*k - 30*k**2 + 93*k**2. Give i(m).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 3\/2 (b) -25 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2493 - 2067. Calculate the least common multiple of 6 and w.\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7029 is divided by 1170?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z. Let c(t) = -4*t. Let x(w) = 2*c(w) + 6*u(w). Let q(l) be the first derivative of -l**2\/2 - 7. Give x(q(i)).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2926*x + 4123 - 5842 + 8297 = -10978 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12 - -16)\/((-1120)\/(-558) + (-8)\/4). Solve -z*w = -552*w + 18 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4835 is divided by 52?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*m + 16*m - 3480. Let t be ((-2)\/(-4))\/(29\/m). Solve t = -8*r - 14 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 7029*t**2. Let a(y) = -34*y**2 - 8*y**2 - 5*y**2 + 49*y**2. What is p(a(r))?\nAnswer: 28116*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 1. Let m be 74*(-112)\/(-2072)*(-2)\/(-8). Put -34, m, c in decreasing order.\nAnswer: m, c, -34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 2*f - 39 = -17, -3*g - 46*f = 11*g - 12*g - 458 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 524.3 + -529.3. Put 0.21, a, -4 in decreasing order.\nAnswer: 0.21, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(297) + sqrt(33))\/sqrt(3) + -4 - (sqrt(396) + 0 + 4).\nAnswer: -8 - 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7a + -56c6b?\nAnswer: -57018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a, 0*a + 5*a + 13 = x. Suppose 0 = x*l - 1 - 38. Let m(q) = -2*q - 4. Calculate the remainder when m(-7) is divided by l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74272184 is divided by 195?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/5 (b) -6639 (c) -2 (d) -5 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of 27*k - 20 + 0*k**2 + 0*k**3 - 5\/4*k**4. Differentiate j(y) with respect to y.\nAnswer: -15*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 169719931 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 19*r**4 - 2*r**3 + 3*r**2. Let l(g) = -20*g**4 + 3*g**3 - 4*g**2. Let h(u) = -3*f(u) - 2*l(u). Find the third derivative of h(s) wrt s.\nAnswer: -408*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-6)\/(-6)*1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tustrtvttu. Give prob of sequence tuut.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103*o + s = 100*o + 1271, s + 1697 = 4*o. Calculate the smallest common multiple of o and 10.\nAnswer: 2120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2427?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2733731 (base 9) in base 4?\nAnswer: -11231321002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of -2*m**3\/3 + 12*m. Let q(a) be the first derivative of a**2\/2 + 1. What is k(q(r))?\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of -1841*q**5\/5 + 2017*q - 3931. Differentiate p(d) wrt d.\nAnswer: -7364*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*(c*c\/c**1)\/c)**8\/((c\/(c**5\/c))\/c**0))\/(c**(1\/6)*c\/(c*c\/((c**(2\/21)\/c)\/c)))**(-12\/7) assuming c is positive.\nAnswer: c**(309\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gfgfff. Give prob of sequence fgg.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-45) + (-6)\/15 - 0.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -2 + 3*b**3 - 2*b**2 + 5*b**2 - b + 0*b**2 - 4*b. Suppose 2*p - 20 = 2*a, 0 = a + 5*p - 1594 + 1556. Determine s(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1485.2148 rounded to the nearest 10?\nAnswer: 1490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 406 = -5*x - 254. What is the common denominator of -67\/60 and (106\/x)\/((-7)\/21)?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21457350 divided by 17445?\nAnswer: -1230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -2*j**3 + 16*j + 9. Let y be c(-3). Let k = y + 0. Solve 0 = 3*d - 4*a + k, 0 = -0*d + 2*d - 4*a + 10 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 867428 and 7.\nAnswer: 6071996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3593 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 6 = 2*l + 2*l, 4*q - 3 = 5*l. Find the third derivative of -1401*c**4 + 1425*c**4 - 7*c**q - 5*c**2 wrt c.\nAnswer: 576*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51290702.\nAnswer: 2, 25645351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -4*p - 9. Let y(v) = -v + 1. Let d(j) = -b(j) + 3*y(j). Let n be d(-7). Suppose 18 + 152 = n*m. Calculate the remainder when 101 is divided by m.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**3*l)**(-1\/24)*(l*l*(l*l\/(l\/(l*l**(-1)*l*l))*l)\/l)**(-1\/20))**(-13) assuming l is positive.\nAnswer: l**(65\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -38 (base 9) to base 8.\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*1\/(-5)*3945\/(-6312)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y. Let q(f) be the third derivative of f**5\/10 - 10*f**2. What is j(q(u))?\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -0.2 (b) 2\/9 (c) 0.4 (d) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 5 - 4)*(z - 7*z - 4*z) + (5*z - 5*z + z)*(0 + 5 - 3).\nAnswer: -8*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -356.0300006 minus 74?\nAnswer: -430.0300006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 j, and 2 n when four letters picked without replacement from {j: 2, n: 6, o: 1, w: 1, v: 2}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(19) - (sqrt(1216) + -1))**2 - (-1*sqrt(1216))**2).\nAnswer: -288 - 14*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1374, 2756, 4138?\nAnswer: 5520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 806 divide 4664322?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m + 11*m = 16. Calculate the remainder when m is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -38*v - 150. Let w be b(-8). Suppose -5*c - 2*a + 17 = -240, -w = -3*c - a. Does 2 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + 18 + (13 - 16). Suppose 0 = 4*h - 17 - g. What is the smallest common multiple of h and 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1127 and 35?\nAnswer: 5635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 + t + 3. Let x be z(-3). Suppose -x*w + 24*w + 12 = 0. Suppose -3 = -2*y + 5. Solve -y*m + 0 + w = -g, 20 = 5*g for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/36 - 230\/(-12). Let z = -13 + u. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7787, -15573, -23359?\nAnswer: -31145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6426 + -6366. Sort -1, o, 2, -4, -2 in descending order.\nAnswer: o, 2, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -228*o**3 + 44*o**2 + 11*o - 16. Is z(-5) a multiple of 153?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m + 19. Let s be g(9). Solve -2*a = 3*u - 7*a + s, 8 = 3*u + 4*a for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 divided by 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - -403?\nAnswer: 404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 + u + 2. Let o be (38 - 37)*(6\/9)\/(2\/3). Let n(m) = m**2. What is o*j(k) - 2*n(k)?\nAnswer: -k**2 + k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.49 - 4.19. What is the third biggest value in 19, z, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 41227 to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01036667 to 3 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1548)\/28 + 16\/56. Let r(a) = a**2 - 4*a + 6. Let j be r(4). What are the prime factors of 20\/j*(-693)\/l?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 + 22*c**2 + 2*c + 28. Give n(22).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25945 + 25962. Solve 18*a + 73 = -u for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10869513 is divided by 57?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(-14)*((-18)\/3)\/3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136)\/sqrt(392) + -4)**2 + 2*sqrt(17) + 0 + 3.\nAnswer: 6*sqrt(17)\/7 + 948\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 - 15*t + 76. Let z be u(10). Let o(k) = -k**2 + 5*k + 6. Let j be o(6). Let h = z - j. Is 13 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**3\/6 - 44543*c**2 - 801781*c\/6 - 89087 = 0.\nAnswer: -2, -1, 267261","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y**4\/5 - 6*y**3 - 3*y**2\/5 + 6*y = 0. What is y?\nAnswer: -1, 0, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2826*w**3 - 2135*w**2 - 6*w - 6. Let h(t) = t**2 - t - 1. Let z(p) = -d(p) + 6*h(p). What is the third derivative of z(n) wrt n?\nAnswer: 16956","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -3*i - 24. Give m(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that n**2\/3 - 38*n\/3 - 13 = 0.\nAnswer: -1, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 0)*(-3*k - 2*k + 3*k)*(0 + 0 + 2) - 3 + 3 - 2*k.\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 - 5 = -4*l. Suppose l = -3*k + j, k + 2*j - 3 = -0*k. Let b be -1 + ((-4)\/12 - k). What is the third smallest value in -2\/3, 3, b?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 - 17*v**2 + 33*v + 49. Let m be p(-14). What is m rounded to the nearest ten?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 67642 (base 14) to base 4\nAnswer: 331100322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 217297.7 - 217280.07863. Let n = 8.22086 - x. Let s = n - -9.4. Round s to four dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4225471117?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13783880 by -1378388.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -41 - -45. Let n(y) be the second derivative of -y**3\/6 - 5*y**2 - 12*y. Let d be n(-11). Sort 9, m, d in increasing order.\nAnswer: d, m, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 533384234 to the power of 1\/5, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2*w**2 - 55*w + 2. Let c(i) = -10*i + 1. Calculate -6*c(k) + 2*n(k).\nAnswer: 4*k**2 - 50*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5212 + -4?\nAnswer: -5216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express ((w - 2*w - w)*(-4*w - 3*w + 3*w) - 14*w**2 - 3*w + 3*w)*(2*w - 2*w**2 - 2*w) in the form x*w**4 + q*w**3 + j + d*w + f*w**2 and give x.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -3*u + 4*u. Let t = 5 + 1. Suppose -t + 2 = -2*k. Solve 5*q + u = 5*f, 0 = k*q - 7*q - 5*f + 10 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 34\/5 of a hour?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 + -0.1. Let s = 43.9 + -38.9. What is the biggest value in -2\/3, s, h?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.93 + -0.07. Let l = 8 - 7.93. Let p = l + -0.57. Sort 3, p, s in ascending order.\nAnswer: s, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-2)*(-1 + -9). Suppose -4 = -4*r + b*r. Let y(s) = -2*s - 1. List the prime factors of y(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(342) - sqrt(342)*-1) + sqrt(342))\/sqrt(2) - (-4*(sqrt(1539) + 1 + sqrt(1539)))**2 - (4*sqrt(209)\/sqrt(99) + (0 + sqrt(2299) + 3 - sqrt(2299))).\nAnswer: -98515 - 1705*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of a**3\/3 - 3*a**2\/2 - 5. Let r be k(6). Suppose 0 = -3*u - 3*u + r. Solve -5*h = 2*y + 11, -u*y - y = 3*h + 1 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 177289973?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3 - -2 - -4)*2237049\/621 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.049 - -0.02. Let m = r + -0.071. Which is the third smallest value? (a) 0.4 (b) m (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (-13 - -3 - -5) + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - 5*k + 205, -8 = b - 3*k - 69. Let c = b + -48. Calculate the common denominator of 415\/(-20) - c\/(-4)*-4 and -9\/14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10\/(-35)*7\/11. Which is the second smallest value? (a) 5\/3 (b) 4 (c) 0.6 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 9 - 13. Let z = -357\/5 + 71. Is i > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + 31\/(403\/(-104))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*w = 3*w + 35 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 6*l**3 - 8)*(-1 + 4 - 5) - 2*l**3 + 2*l**3 - l**3 + (0 + 3*l + 0)*(l**2 + l**2 - 3*l**2) + 0*l**3 + 3*l**3 - 5*l**3.\nAnswer: -18*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(52) + sqrt(156)\/(sqrt(3) + sqrt(9)\/sqrt(3)) - sqrt(52)) + sqrt(52))\/(2*sqrt(484) - sqrt(4)).\nAnswer: sqrt(13)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 96750173 and 9399?\nAnswer: 3133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5301995 years to months.\nAnswer: 6.362394","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-15 - -16)*2*(-14)\/4. Let z = 36 - 51. Let n = y - z. Calculate the remainder when 21 is divided by n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 2*g. Solve -3*b - 5 + 2 = g for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 + 5 = 4*i - 4*f + 8 + 18, -5*f = -f - 20 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/55*10\/(-8)*80\/25.\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 238042 and 12054?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (2\/18)\/((-74)\/(-1110)) + 296\/(-174)\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 88, 154, 218, 280, 340?\n\"Answer: -h**2 + 69*h + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(((-10)\/(-8))\/(-5)). Let k(f) = -f**2 + 6*f - 5. Let w be k(m). Calculate the greatest common divisor of w and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -34\/13 or 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 42\/28 - (-35)\/(-2). Let y be (-3)\/((-2)\/(n\/12)). What is y rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 219 - 211. Calculate the greatest common divisor of 9 and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 24 and 125207572.\nAnswer: 125207596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 18 (b) 3 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = 5*h - 995. What is the tens digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/5 + 157498*b\/5 + 629976\/5.\nAnswer: (b + 4)*(b + 157494)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-21) + (-1152)\/1440*(-115)\/1848?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a century in decades?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of s**3 + s**2 - s. What is the tens digit of h(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21601 + 458260. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(1872) + (sqrt(1872) - (3 + sqrt(1872) + sqrt(1872))))**2 + 5 + sqrt(1872) + -1*sqrt(1872).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 11\/2 - 3 - -2.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -5*f**2 + 9*f + 21. Let v(z) = 2*z**2 - z - 2. Let i(d) = 7*d**2 - 2*d - 4. Let s(a) = i(a) - 4*v(a). Calculate -2*n(p) + 11*s(p).\nAnswer: -p**2 + 4*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 6) in base 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 157\/456 and -59\/10392?\nAnswer: 197448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 6890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.116 - -1.428. Let a = c - 9.402. Round a to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/2*5 + 12. Suppose z*r - 4*r = 270. Suppose -3*x = -99 + r. Solve -x*p - 4 = -i - 4*i, 0 = -i + p + 2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1 (b) -1.218 (c) -1\/6 (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 PM and 7:46 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11269*q + 54897.\nAnswer: 11269","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 2\/4843 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/(330\/18))\/((-27)\/18).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -71553437719\nAnswer: -71553437713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 96?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 4*u + 3 - 7 = 0, 2*z + 4 = -3*u. Suppose 3*o = z*j + 19, -3*j = -o + 1 - 3. Let x = 97 - o. List the prime factors of x.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 7728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*x - 16376 = -19176 for x.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4*7\/84)\/(1\/(-9))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 7}. What is prob of sequence aa?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + (24 - 6\/(-3)). Suppose -q*o + 4658 + 2326 = 0. What is the remainder when o is divided by 61?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6480605688 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -439 = 5*u + 231. Let s be u\/(-4) - ((-2)\/(-4))\/1. Solve -5*r + s = 13 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -65. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.6 + 5. Let r = -63 + 68. What is the third smallest value in 0.1, g, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -17674200, 17, 4?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*c**3*n**2 - 226365129*c**3 - 2936391*c*n + 2*n**3 wrt n.\nAnswer: -6*c**3*n - 2936391*c + 6*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 + -7. Let w = -7 + 6. Let s be w + (1 - (-2 - 0)). Sort g, s, 0.4.\nAnswer: 0.4, s, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) - (sqrt(76) + sqrt(76) + -1 + sqrt(76) + 0 + sqrt(76)))**2 + sqrt(76) - (4 + sqrt(76))**2*1) + 1.\nAnswer: -26*sqrt(19) + 594","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -3 (b) -5 (c) 7134 (d) -2 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 3 = o, 5 = 5*r - 5*o - 0*o for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/7)\/(20\/(-14))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 130 and 1534.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/99 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + 1eb183?\nAnswer: 1eb17e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 3721140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g**3\/4 + g**2\/2 = 0. Calculate g.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12\/(-26) - 454766\/(-338)?\nAnswer: 5, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = 8*w - 60. Let k = 258 - 161. Calculate the remainder when k is divided by w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2201819951 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(36)\/sqrt(3))\/(sqrt(18)\/sqrt(27) + sqrt(6)) + -5.\nAnswer: -5 + 9*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/976 and 49\/24.\nAnswer: 2928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 886 + -886.02. What is the second smallest value in a, -9, 1\/4, 0?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -377*w + 1167*w - 376*w - 348*w.\nAnswer: 66*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -3*n - 12. Let h = n + 26. What is the units digit of (2\/4)\/(1\/h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 1 + 0)*(63*g - 175*g + 52*g + (2*g + g - 5*g)*(3 - 5 + 1)) in the form i*g + q and give i.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8c - -712b77?\nAnswer: 712c25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -555507*u**3 + 14*u**2 - 2*u - 28. Let i be c(-6). What is i rounded to the nearest 1000000?\nAnswer: 120000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-4\/7)*(t*t**(-6))\/t)**9 assuming t is positive.\nAnswer: t**(-414\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2215 or 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1320 and 11520?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 60\/7 at most as big as 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-612)\/(-6120))\/(((-5)\/2)\/(-5)))\/(-23)?\nAnswer: -1\/115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.181 and -0.0160884?\nAnswer: 0.1970884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4086431 equal to 4086443?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -15*j**2 + 310*j + 3. Let r(g) = -4*g**2 + 103*g + 1. Give -2*l(v) + 7*r(v).\nAnswer: 2*v**2 + 101*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cyyccayaeey. Give prob of sequence eay.\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (0 + (-12 - -12) + 2 + -11)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75526977 is divided by 93?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2543*x**3 + 7*x**2 - 26*x + 44. What are the prime factors of n(3)?\nAnswer: 2, 5, 6869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-6)\/a)**8*a**(-3\/4)\/(a\/a**(7\/3)) assuming a is positive.\nAnswer: a**(-665\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -48 (b) -2\/5 (c) 0.1 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4824722\/569268 + (-17)\/2.\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5355634?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2355, 2363, 2371, 2379?\n\"Answer: 8*l + 2347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -605415064 divided by 5?\nAnswer: -605415064\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tntttnntnntntttn. What is prob of picking 2 t and 1 n?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1038 and 12110.\nAnswer: 36330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 5 + (6*sqrt(7)*-1*6*4*-3)**2 + 2.\nAnswer: 1306376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -9163, -18309, -27431, -36529, -45603?\n\"Answer: 12*o**2 - 9182*o + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.24403 - -2.5142. Let w = -3.76 + s. What is w rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-1)*(-3)\/(-45). Which is the closest to -5? (a) o (b) 4 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4 + 0 - (-7 + 6). Let u(f) = f - 8. Let m(w) = -2*w + 9. Let a(x) = -2*m(x) - 3*u(x). What is a(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -0*t - 2*t + 12, -3*t + 14 = x. Let r be x - (-3 - -3) - -3. Put 0, 5, r in ascending order.\nAnswer: 0, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -3334 and -3333 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -732110612*l - 406089297.\nAnswer: -732110612","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7387 divided by 25?\nAnswer: 7387\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 188 is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -81*c**3 + 150*c**2 - 147*c. Let l(q) = 8*q**3 - 15*q**2 + 14*q. What is -2*i(f) - 21*l(f)?\nAnswer: -6*f**3 + 15*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - ((-6 - 1) + 7).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 3 - 3)*(0 + 0 - 2 + (-1 + 4 - 2)*(-65 + 45 + 40))*(-4 + 0 + 5)*(-22 + 5*a + 22) in the form n*a + s and give n.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -786*r**5 - 4*r**4 + 3*r**3 + r**2 - 2548*r - 2.\nAnswer: -47160*r**2 - 96*r + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 7 + 87*n - 1 - 90*n. Let p(z) = 8*z - 17. Suppose 0*r = -r + 11. What is r*f(q) + 4*p(q)?\nAnswer: -q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7700\/51 + 2544\/17. Put -138, -0.5, u in decreasing order.\nAnswer: -0.5, u, -138","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22.4 + -22. Which is the closest to 352? (a) 2 (b) -3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1 + -0.1. Let f be (-225)\/(-30)*(-424)\/1590. Which is the third smallest value? (a) -0.5 (b) f (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8856*0.7.\nAnswer: -6199.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -32*q**3 - 12*q**2 - 368*q + 12. What is the tens digit of i(-12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) - (0 + sqrt(1053) + sqrt(1053))) + 3 + sqrt(1573))**2 - ((sqrt(520)\/(2*sqrt(10)))\/(sqrt(4) + 1*sqrt(400)))**2.\nAnswer: -36*sqrt(13) + 230855\/484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 322 and 22110452?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -1, -1\/3, 13, 5, 1, -0.69, 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 7:02 PM?\nAnswer: 4:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 11:51 AM?\nAnswer: 6:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48297 and 102.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83.61036l to millilitres.\nAnswer: 83610.36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130 is divided by 24.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1405, -1417, -1429, -1441, -1453, -1465?\nAnswer: -1477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/(3 + (-34)\/26) and -61\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3122848, 3122683, 3122518?\nAnswer: 3122353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.3580904 rounded to 2 decimal places?\nAnswer: 2.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56 - 55 - ((1 - -4) + (-15 - -12))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 - 7*s**2 + 9*s + 5. Let c be l(-8). Suppose -603 = -13*o + 16*o. Let j = o - -207. Sort 0, 5, j, c in descending order.\nAnswer: j, 5, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30356, -8, -2, -5 in descending order.\nAnswer: 30356, -2, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -731 = -36*d - 7*d. What is the remainder when 201 is divided by d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -3*v + 16. Let d be (1 + 2)*v\/42. Suppose 4\/7*s - d*s**2 - 2\/7 = 0. Calculate s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 4*w**4 - 29968*w**3 + 269432*w**2 - 329168*w - 628572 = 0.\nAnswer: -1, 3, 7, 7483","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 301030112223 (base 4) in base 14?\nAnswer: 19d9827","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*u + 28 + 35. Let h = u + -6. Calculate the highest common factor of h and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -31.28 - -68.28. What is the closest to x in -1\/5, -4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 5 - 4*f - 6*f**2 - 2*f - f + f**3. Let r be w(7). Let s(y) = 0*y - 4 + y**3 - 5*y**2 + y + 5. Give s(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3654665 divided by -5?\nAnswer: 730933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -785*l**3 - 787*l**3 - 35*l**2 + 35*l**2 + 2353*l**3 - 783*l**3.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 786800 is divided by 786778.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/34? (a) 65 (b) -4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/((sqrt(4) + sqrt(12)\/sqrt(3))*-3))\/(sqrt(147) - -4*2*sqrt(147)).\nAnswer: -sqrt(5)\/378","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 104 + -83. Suppose 2*h = -h - n. Let t(y) = 2*y + 7. Calculate t(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -5 (b) 11 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 2*n = -2, 2*n = -4*b + n + 7. Let x be ((-28)\/(0 + b))\/(-1). Let k = x - -2. Calculate the highest common factor of k and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 2*b - 39. Let m(k) = -k**3 - 12*k**2 + 14*k + 16. Let c be m(b). Find the third derivative of -6 + u**c + 4 + 2 + 3*u**2 wrt u.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -2\/49 (b) 5 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 5*m**2. Let f(a) = -2169*a**2. Give f(g(u)).\nAnswer: -54225*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13662546?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 42 - 38. Let a(g) = 7*g - 4. Is 6 a factor of a(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1526 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 976513 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 463515 is divided by 231704?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate g**2*p**2 + 1309*g*p**2 - 2*g + 18223*p**2 with respect to g.\nAnswer: 2*g*p**2 + 1309*p**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 891566 - 1252688. Let w = -178393675\/494 - k. Let z = 25\/19 - w. Which is smaller: z or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 15*u**3 - 11910*u**2 - 10*u + 7942. Determine j(794).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -49 + 47.707. Let o = -0.5 - 0.8. Let v = o - i. Round v to 3 decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/11 or -0.2?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of ((-6)\/10)\/(4\/(-80)) and 220.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 261\/10 or 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 3*w. Let c be p(1). Let f = 11 - c. What is the highest common factor of 4 and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19056 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.453806 to 2 dps.\nAnswer: -0.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 1107?\nAnswer: 4\/1107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q**3 - 4*q**3 - q**4)*(6*q + 3 - 3) + 2*q**4 - 2*q**4 - 2*q**5 + (-4*q + 2*q**2 + 4*q)*(-2*q**2 + 2*q**2 - q**3) + 13*q**3 + 42*q**5 - 13*q**3.\nAnswer: 32*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2649 divided by 3.\nAnswer: -883","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*k - 21*k = -20. Let w(j) = k - 3 + 3 - 5 - j**2. Let d = -9 - -11. Calculate w(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*j + 2*k - 53 + 317 = -53, 3*j = -2*k + 25 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (780\/8)\/(-15)*2.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 170 divide 107657?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 186 = 32*l. Let w be 3\/l - (-2 - -2). What is the nearest to w in -2\/7, 0.07, 0.2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00821728 rounded to 5 decimal places?\nAnswer: 0.00822","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -66357, -132708, -199055, -265398, -331737, -398072?\nAnswer: -464403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 - -46*(-2)\/(-4). What is the remainder when 63 is divided by (192\/w)\/3*10?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 91495 and 10?\nAnswer: 182990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -4, -2.8, 1 in increasing order.\nAnswer: -4, -2.8, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 53*s**2 - 5. Let i(v) = -26*v**2 + 3. Let n(w) = -3*d(w) - 5*i(w). Let x(y) = -2*y**2. Calculate n(x(t)).\nAnswer: -116*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 less than -27045229?\nAnswer: -27045229.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*s - 5*s + 8*s)*(-2 - 3 + 3)*(-11*s**2 + 4*s**2 + 39*s**2).\nAnswer: -832*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/11, -1\/2, -61, -0.05?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from rrm?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24712618 is divided by 24712592.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -5*r**3 + 36*r**2 + 19*r + 70. Let z(l) = l**3 - 3*l**2 + l - 3. Let q(c) = j(c) + 4*z(c). Give q(25).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 3, 3\/532?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -541411, -1082828, -1624245, -2165662, -2707079?\nAnswer: -3248496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**1)**(1\/4)*b\/(b\/b**(3\/4)*b*b)*b**(3\/8) assuming b is positive.\nAnswer: b**(-5\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 24197 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ezis when four letters picked without replacement from pzszeis?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and 255.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 + 9*m**2 - 24*m + 7. What is i(8)?\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 + 6. Let g be 6*y*(-2)\/6. Which is smaller: 7 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**2 - 164*u + 15480.\nAnswer: -4*(u - 45)*(u + 86)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 - 9*x + 29. Suppose -34 = -5*r - 3*a, a + 4 = 2*r - a. Let t be f(r). Calculate the greatest common factor of t and 225.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-1)\/(10\/4))\/((-168)\/315) and -3 + -2 + 706\/180?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrddrd. What is prob of sequence dr?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 12940857349 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*f + 2*f**4 - 9*f**3 + f**4 + 10*f**2 - f**2 = 0. What is f?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.14? (a) -0.3 (b) -74 (c) 1 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-0.04.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = 3*k - 21, 4*p + 92*k - 90*k + 4 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 AM and 11:07 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*p - 2*p**2 - 2*p**3 - p + 125 + 2*p + p - p to the form a*p**3 + m*p**2 + q*p + g and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6937052 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: Let z(u) = 5*u**4 - u**3 - 17*u - 5. Let m(n) be the third derivative of n**7\/210 - n**4\/6 - n**3\/6 - 3*n**2. Let d(j) = 18*m(j) - 4*z(j). Factor d(h).\nAnswer: -2*(h - 1)**3*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 680.8279 grams?\nAnswer: 0.0006808279","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 - 14*m**2 - 22*m + 28. Let x be c(-12). Sort -2, 2, x in ascending order.\nAnswer: -2, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 12*l - 1. Let p = 29 + -28. Calculate h(p).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*f + 2)*(-3 + 6 - 2) - 3*f - 3 + 3 + f + f + 0*f + (-4*f + 5*f - 2*f)*(5 + 4 - 5) + (-5 + 5 + 2)*(4*f - f - 2*f).\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1674, 6812, 15374, 27360, 42770, 61604?\nAnswer: 83862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11119.333 rounded to the nearest 100?\nAnswer: 11100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*b**2 - 1000*b**3 - 10*b**2 + 999*b**3.\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46375?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 2)*(5 - 2 - 3*y - 2) - 3 + 3 - 6*y + 50*y + 142 - 142.\nAnswer: 41*y + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -0*v. Suppose v = -3*d + 93 - 39. Calculate the highest common divisor of d and 108.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*x + 7*x - 3*x - 45372. What are the prime factors of x?\nAnswer: 3, 19, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*u = -16*u - 6. Let q(g) be the first derivative of -g**7\/840 + g**4\/12 - g**3\/3 + 5. Let n(i) be the third derivative of q(i). What is n(u)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 - 1 - (-91 + 72) - (-3 + 1 + 14).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 2*d = -128, -2*m = -d - 163 - 93. Suppose 38 = -5*l + m. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fuko when four letters picked without replacement from {f: 1, k: 3, u: 1, j: 4, o: 2}.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 478840611?\nAnswer: 3, 23, 197, 35227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -23*b**3 + 1297*b**2 - 3439*b - 4640. Let p(y) = -20*y**3 + 1135*y**2 - 3010*y - 4060. Let m(i) = -17*p(i) + 15*z(i). Let m(j) = 0. Calculate j.\nAnswer: -1, 4, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2530.823 and 7.\nAnswer: 2537.823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 + r**2 - r + 19. Let n be y(0). Suppose l = 2*d + 5, -3*l + 6*d = d - n. Solve -2*b + l = -3*b - 4*f, 5*b - 19 = f for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.6 take away 8.8?\nAnswer: -11.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - 6 - (5 - (5 + 5) - -1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 566*r*s**2 - 180*s**2 wrt r.\nAnswer: 566*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1261.273926 rounded to two decimal places?\nAnswer: 1261.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 2)*((-2*j - 2*j + 3*j)*(5*j - 3*j - j) + 3 + 2*j**2 - 3 + 4*j**2 + 0*j**2 + 5*j**2)*(j - 3*j + 5*j).\nAnswer: 90*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -20*y + 459. Determine b(22).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 652 greater than or equal to 1\/18900?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7.3 + -7.1. What is the nearest to -4 in 1\/9, d, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 5*s - 21 + 19 + 0*s + 0*s**2 - 3*s - s**2. Suppose 2*i - 4*r + 14 = 0, -i = -3*i - r + 6. Calculate m(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 3*f**5\/4 - 5*f**4\/4 - 59*f**3\/4 - 103*f**2\/4 - 16*f - 3 = 0.\nAnswer: -2, -1, -1\/3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 7, -0.1, -0.01, -0.05?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (72\/(-153))\/((-2018)\/(-325907))?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 617 is divided by (-9)\/(8\/(584\/(-9))).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 75*t**3 + 22*t**3 + 29*t**3 + 25*t**3.\nAnswer: t**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 181775 is divided by 181775?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from {a: 9, s: 11}?\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 150788?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 548, 4.3, 2\/11, -1\/12, 3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of m**8\/1680 - m**7\/168 + m**6\/45 - m**5\/30 - 3*m**3 + 13*m**2. Let t(r) be the first derivative of n(r). Factor t(o).\nAnswer: o*(o - 2)**2*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 - 23*x**2 - 13*x - 296. Let a be o(-23). Put a, 10, -4, 15, 2 in descending order.\nAnswer: 15, 10, a, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.9704575ns in hours?\nAnswer: 0.00000000000249179375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 10. Let c(j) = j**3 - 2*j**2 - j - 1. Let r be c(3). What is the second derivative of -n - y*n**5 + n**r - n wrt n?\nAnswer: -80*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -57.7 + -32.5. Let f = -83 - s. What is f rounded to 0 decimal places?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 AM and 6:36 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 + 24*q**2 + 110*q + 348. Give i(-21).\nAnswer: -639","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 109, 123, 147, 187, 249, 339, 463, 627?\nAnswer: 837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of -w**3\/3 - 25*w**2\/2 - 21*w - 4. Let y(q) = -3*q**2 + 14*q - 15. Let o be y(5). What is the tens digit of i(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of d*i**2 + 3034*d*i - 30705*d - 3*i**2 + 4*i - 3 wrt i.\nAnswer: 2*d*i + 3034*d - 6*i + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -23 - -33. Suppose 0 = -129*h + 128*h. Suppose h = 6*z - 43 + 13. Solve -20 = -z*m + 4*p, 0 = 3*m + p + p + b for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5.21 + 6.5304. Round a to one decimal place.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-9)\/30 - (-3 - (-2286)\/(-20)) is divided by 61?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 39015 or 39011?\nAnswer: 39011","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 less than -6794938.33?\nAnswer: -6794951.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a meter in centimeters?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 + 3*v - 2. Let d be q(-3). Let g = d + 0. Suppose z = 6*z + 15. Put -4, z, g in decreasing order.\nAnswer: g, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 262522, 525085, 787648, 1050211?\n\"Answer: 262563*h - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 458 - 2 = -8*z. Let a = z + 226. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -16*s**2 - 8*s + 103*s**3 - 101*s**3 + 12*s**2 + 14. Give p(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 227 > 30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 309707 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hq when two letters picked without replacement from qwdddhqdgdddghddqh?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 12 = -5*i - p, 0 = 5*i - p + 3. Let t be (3 + 0)\/(6\/4). Do t and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -3*z - 22, z - 3*f = 5*z - 4. Let n be z\/11 - (-124)\/(-44). Which is the biggest value? (a) -1 (b) 0.2 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(2 + (sqrt(120)\/sqrt(2))\/sqrt(12) + ((sqrt(5) + sqrt(320) + 0 + sqrt(320))**2 - sqrt(5)) + 5 + 2*-6*sqrt(45)\/sqrt(9)).\nAnswer: -5808 + 48*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y + i - 45, 4*i + 4 = -0*y + 3*y. What are the prime factors of (2\/6)\/1*4824\/y?\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -758*r**3 + 2222*r**3 - 737*r**3 - 739*r**3.\nAnswer: -12*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 2*b - 1860004, -2*b - 461714 = -i + 468290. What is i rounded to the nearest 100000?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16600 by -830.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -107*i**3 + 9*i**2 + 7*i + 28. Let g(j) = 53*j**3 - 4*j**2 - 3*j - 13. Give -9*g(m) - 4*x(m).\nAnswer: -49*m**3 - m + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21642055?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/2 (b) 2\/57 (c) -4 (d) 0.2 (e) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95150368 is divided by 42?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2469815?\nAnswer: 5, 307, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of -b**4\/24 - 17*b**3\/6 + 57*b**2. Determine t(-9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2\/930199 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 0.151.\nAnswer: 0.604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m + 0*m + m)*(-2 + 1 - 2 + (-1 - 1 + 0)*(3 - 1 + 0) - 3 + 4 + 1)*(4*m**2 + 3*m**2 - 5*m**2).\nAnswer: -40*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -5*r + 525, 5*r - r - 4*b - 388 = 0. Let f(p) = -2*p**2 - 18*p - 2. Let y be f(-6). What is the greatest common divisor of r and y?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 3790?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1365455 and 637?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 248 + 4?\nAnswer: 24c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000750463 to 5 decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1090, -5258, -4, 5 in increasing order.\nAnswer: -5258, -4, 5, 1090","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 4 + 110 = 3*x, 3*r - 39 = -x. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4044589 (base 11) to base 4\nAnswer: 123101303302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence juev when four letters picked without replacement from jurrumujvvver?\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, -27, -30, -25?\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -3 + 0 + 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 65 times 2711?\nAnswer: 176215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 13, t: 2, p: 3}. What is prob of picking 1 p and 2 i?\nAnswer: 39\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*k = -457 + 43 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/150 and -79\/6124770.\nAnswer: 30623850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 60\/9*(-12)\/(-10). Let f = -185\/11 + 17. What is the closest to 0.1 in q, 0, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 895*g**2*i**3 - 5*g**2*i + 30*g*i**2 + 2*i**4 wrt i?\nAnswer: 5370*g**2 + 48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -4084, -8168, -12250, -16330, -20408?\n\"Answer: s**2 - 4087*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 55 divided by 5\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22 - -20.79. Let m = h - 5.79. Is 1\/3 less than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 5*l**3 - 3*l + 2. Let d be s(1). Let h(z) = -2*z - 3. Give h(d).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q + 5*q + 21 = 7*t, q = -4*t - 14. Solve 17*l = h + q*l - 3, 0 = 5*l for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 17*r**2 - 403*r - 304. Give u(25).\nAnswer: 246","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 - 7*x**2 + 22*x + 30. Determine v(-9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/3))**18\/(p**(2\/17)\/(p\/(p\/(p*p**(-1\/9)))*p))*((p**0*p)\/p)**5\/(((p*p**(-6)\/p)\/p)\/(p*p*p\/p**6)) assuming p is positive.\nAnswer: p**(2719\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1229251057 to the nearest integer?\nAnswer: 1071","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, u: 6, m: 2, g: 1, j: 2, e: 1}. Give prob of sequence gej.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/7, 0.4, 1, -134?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add 2200.8 and 331.5403.\nAnswer: 2532.3403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*f - f + 5*f)*(f + 31*f + 5*f) + 3*f**2 + f - f in the form g*f + v*f**2 + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -274.99999533 - -275. What is u rounded to seven dps?\nAnswer: 0.0000047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 4\/3 (b) 2 (c) -1 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7201943 nanograms in kilograms?\nAnswer: 0.0000000000007201943","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1794 != 1958?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 8 (b) 3\/65 (c) 0.04 (d) 0 (e) 94 (f) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 16180 = -925. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 6:39 AM?\nAnswer: 8:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8626971 is divided by 1232354.\nAnswer: 493","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2*f + 1. Let s(p) = p**2 - 7*p + 2. Let k be s(8). Suppose 0 = -3*i + 5*i + 14. Let a = k + i. Let z(u) = 2*u - 1. Calculate a*z(x) + 2*w(x).\nAnswer: 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = r + 3. Let g = 30 + -46. Let v be r\/(-6) - (72\/g)\/(-9). Which is the nearest to -7\/5? (a) v (b) -4 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of -3*h**4\/8 + h**3\/2 - 6076*h**2. Let d(i) = -28*i + 10. Give 2*d(a) - 7*t(a).\nAnswer: 7*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.1 (b) -0.7 (c) 246\/25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3111?\nAnswer: 3, 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/(k*k*k*k**0*k))\/k)**(-4))**(3\/2) assuming k is positive.\nAnswer: k**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 192*c = -21*c + 142*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 0*c - 8. Suppose -c*d - 3*a = 0, a + 23 = d - 4*a. Let j = d + 0. Does 3 = j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 11 = 3*q, -4*q - q = -3*n + 27. Suppose 4*m - d = -0*d + 277, -n*d - 349 = -5*m. Calculate the remainder when m is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-56)\/(-14)*((-13)\/(-4) + -1). Suppose u*m = 4*m + 5*x + 180, -72 = -2*m + 5*x. What is the remainder when m is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8287571735 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7367655 is divided by 286.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -8, 0.1, 2.2, -42\/5, 1\/4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 81819 to the power of 1\/3, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 34165, 35199, 36233, 37267?\n\"Answer: 1034*z + 33131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 + -2. Let p = j - 14.4. What is the second biggest value in -7\/5, p, -2?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/4))**17\/((w**(3\/13)\/w)\/(w**(5\/6)\/w)) assuming w is positive.\nAnswer: w**(757\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v + v - 2*v)*(2 - 2 + v**2) - 4 + 4 - 2*v**3 + 3*v**3 - v**3 - v**3 + v + 2*v**3 - v + (3*v**2 + v**2 - 2*v**2)*(-4*v + 2*v + 3*v).\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 8*o = -8. Let i be (-2)\/2*142 - o. Let v = -83 - i. What is the remainder when v is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 279*q - 286 with respect to q.\nAnswer: 279","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 3*b + 270, 4*s + 70 = 2*b - 148. Let t = -52 - s. Solve 8 = -t*q - 2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0008158 to four dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 9891 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 82\/9, 4\/205, -114?\nAnswer: 4\/205","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2 + 8*u - 2*u**2 + 1 + u**2 + 2. Give v(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 713?\nAnswer: 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 635 = -7*l + 649. Find the third derivative of -2*b**2 + 5*b**l + 241*b**3 + 16*b**2 - 36*b**2 wrt b.\nAnswer: 1446","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2890, -2889, -2886, -2881, -2874?\nAnswer: -2865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.5, 1, 0.064541 in decreasing order.\nAnswer: 1, 0.064541, -1.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 - 7*s - 36. Let h be c(16). Suppose -2*f - 156 = -5*f. Suppose -4*o = 2*u - h, -2*o - f + 6 = -u. Find the common denominator of u and -89\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k**3 + 2*k - 2*k - 3*k**2 + (2 - 2 + k)*(-536*k**2 - 3810*k + 3810*k).\nAnswer: -538*k**3 - 3*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7472929 is divided by 230?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 329 - 162 - 164 + 157 - 160 + 23*a.\nAnswer: 23*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of u**2*v**2 - 189*u**2*v - 32*u*v**2 wrt v?\nAnswer: 2*u**2 - 64*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0*g - 2*g + 3*g)*(-1 - 2 + 1)*(g**2 - 3*g**2 - g**2).\nAnswer: 6*g**3 + 6*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -w**3\/8 + 1071*w**2\/8 + 1613*w\/4 - 537 = 0. Calculate w.\nAnswer: -4, 1, 1074","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -l, -5*p = -0*l - 5*l + 25. Let c(z) = -2*z**2 + 29*z - 9. Let b be c(14). Suppose -b*x + 105 = -p*x. Does 21 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -11, -48, -109, -194, -303?\n\"Answer: -12*f**2 - f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/5, -7\/4, 15, -2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -168532 + 168534. Let -80\/9*n**5 + 118\/9*n**3 - 44\/9*n**4 - 2\/9 - 38\/9*n + 46\/9*n**v = 0. Calculate n.\nAnswer: -1, -1\/20, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001549893849 to four decimal places.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 6*z + 14. Let x(n) = -3*n - 6. Let i(d) = -3*g(d) - 7*x(d). Let t(v) = -8*v**2 - 17. What is t(i(c))?\nAnswer: -72*c**2 - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/26509 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-10) + (-371)\/35. Let f be 2\/h - 86\/(-5). Suppose 2*a - 7 = -3*o - f, 4 = 2*a - 4*o. Is a at least as big as -7\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5891963 is divided by 2532?\nAnswer: 2531","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -9*(4\/3 + -1). Let h = 6 + -5.5. Let r = 8619\/11 + -783. Put r, h, s in increasing order.\nAnswer: s, h, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -3. Let b(j) = 5*j**3 - j - 1. Let f be b(d). Let p = 62 + f. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(5*(sqrt(136) + 1*sqrt(136) + sqrt(136) + sqrt(136)) - -2*-1*sqrt(136)))\/(-2*-1*(-2*sqrt(8)*2 + sqrt(8))).\nAnswer: 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4 and -11425903821.\nAnswer: -11425903817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*i + 22*i = -p + 1772, -2208 = -5*i - 3*p. What is the remainder when i is divided by 105?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(624)\/(sqrt(24)\/(1*sqrt(2))) - ((sqrt(260) + 2*sqrt(260))*2)\/sqrt(5))\/(-5*-3*sqrt(576) - (sqrt(576) - 4*2*sqrt(576))).\nAnswer: -5*sqrt(13)\/264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by -33.\nAnswer: -7\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -333322 (base 6) to base 16\nAnswer: -6d52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 to the power of 1\/2, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((sqrt(18) + (sqrt(108)\/sqrt(2))\/sqrt(3))*-3)**2 - ((-1 + (sqrt(200) - sqrt(200)*2))**2 + 3)).\nAnswer: -444 + 20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, a: 1, s: 5, b: 7, r: 1}. What is prob of picking 2 x and 1 b?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 559230720.\nAnswer: 2, 3, 5, 145633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1834, -3046, -4286, -5554?\nAnswer: -6850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 21 = 6. Let m = 6 - h. Is 17 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.06 in -113, 1, 0, 7\/3, 1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -3 + (0 - 0)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + -4. Let o be 85\/(-15) + 5 - 4\/(-15). What is the nearest to -0.1 in r, 4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 PM and 3:59 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express k**2 - 8*k**3 + 5*k**3 + 0*k**2 as h*k**3 + r*k + g*k**2 + b and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p + 15 = -4*p. Solve 0 = 2*j - p*l - 17 - 0, 0 = -l - 3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 3*u = 1683, 1020 = 3*s + 3*u + 15. Let m = s + -244. Calculate the highest common factor of m and 161.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 88622602 to the nearest integer?\nAnswer: 446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 - 3 = 2*n - 4*a, a - 10 = -5*n. Suppose t**n + 0 + 1\/3*t**2 + 0*t + t**4 + 1\/3*t**5 = 0. Calculate t.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**2 - 124765192*q - 972897070924804.\nAnswer: -4*(q + 15595649)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -68 + 63. Let u(r) = -64*r - 6. Is u(a) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 2*v + 1321 = -102, 0 = -s + 3*v + 1418. Suppose 0 = -5*f + s + 1282. Let b = 9715\/18 - f. Find the common denominator of -121\/12 and b.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 2*u + 4*u - 52, 0 = -2*b - 2*u + 32. Suppose -f = -2*i - 5, 0 = -4*i + 3*f + f - b. Sort 5, 3, i.\nAnswer: i, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 11:14 PM?\nAnswer: 6:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c45 - -259?\nAnswer: 11a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(-2)*2\/(-1). Let f(d) = d. Let j be f(2). Differentiate 2*t**3 - t**3 + 3*t**3 - 5*t**i + j wrt t.\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 7*h + 4*t + 19, 7*h - 16 = -5*t. Let s(u) = 374*u**2 + 44*u. Let z(a) = -25*a**2 - 3*a. Calculate h*s(l) + 44*z(l).\nAnswer: 22*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 + 11*h - 2. Let y = -359 + 716. Let a = y - 367. Determine j(a).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b + 45 = -3*b. What is the closest to -0.1 in b, 5, -10?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seventy-six fifths of a millimeter?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(847))*-3.\nAnswer: -33*sqrt(7) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -145045 divided by 257\nAnswer: -145045\/257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(605) - (sqrt(605) + sqrt(605) + -2 + sqrt(605) - sqrt(605))*3 - -2*(sqrt(605) + 1 - sqrt(605)))*2)**2*3 + 2.\nAnswer: -264000*sqrt(5) + 4556702","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 328888?\nAnswer: 2, 7, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 83*l**2 - 82*l**2 + 6 - 2 to z*l + r + j*l**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ux when two letters picked without replacement from {s: 12, x: 3, u: 1}.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjeljjjjvleeeeele. What is prob of sequence lj?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3352516861?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*q**4 - 7*q + 6*q + 3*q**4 wrt q?\nAnswer: -36*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.6 and -35648.\nAnswer: 21388.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the third derivative of -x**6\/120 - x**5\/20 + x**4\/12 - 3*x**2. Calculate the smallest common multiple of 4 and d(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-120)\/50*(600\/(-585))\/(-8).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + 0 - -3) + -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 AM and 5:10 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*p**5\/4 - 604*p**4 + 2933*p**3\/2 + 18926*p**2 - 94037*p\/4 + 3710 = 0. Calculate p.\nAnswer: -5, 8\/43, 1, 7, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 15599093, 15599109, 15599127, 15599147?\n\"Answer: j**2 + 13*j + 15599079","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -36 - -41. Suppose b*k + 100 = 6*k. What is the greatest common factor of 10 and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -25*p - 1. Let y be a(1). Let w be (-4 + (-54)\/(-15))\/(4\/10). Let t = w - y. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10010011010011010 (base 2) to base 3.\nAnswer: 10211110021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 61142820 to the nearest 100000.\nAnswer: 61100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 582 - 567. Suppose -3*z + 5*n = -16, 4*z - b - 12 = n. Solve z - 21 = 14*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 4*x = 500, b - 275 = -4*x + 257. What is the hundreds digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 16) in base 9?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9672.442m to micrometers.\nAnswer: 9672442000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2*k - 2)*(-118 - 58 + 430) as c*k + t and give c.\nAnswer: -508","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -68 + 48 + -8 + 57 - (0 - 7).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 437485 smaller than 437538?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -228 (c) -2\/7 (d) -0.9 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 - 1)\/(-3) - -3. Let m = 11 + -7. Suppose 0*g - h + 7 = 5*g, m*h + 20 = t*g. Solve 2*f - 10 = 0, -g*f = 5*v + 2*f - 25 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -198*b + 625*b - 201*b - 206*b. Let x(k) = 50*k. Calculate g(x(t)).\nAnswer: 1000*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*u - 24 = 13*u for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i**2 - 41538*i + 431351361 = 0. What is i?\nAnswer: 20769","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(68)*-5*-5)\/(-1*sqrt(16) - sqrt(180)\/sqrt(5)).\nAnswer: -10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-44)\/(-10)*-9*(-380)\/(-4104)?\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (1055\/15)\/(3\/99) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -4496*a**4 + 4*a**3 - 1697*a**2. Let c(f) = 4495*f**4 - 5*f**3 + 1698*f**2. Let n(w) = 4*c(w) + 5*r(w). What is the third derivative of n(h) wrt h?\nAnswer: -108000*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-4)*(-187)\/(-935)\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((192\/280)\/(-12))\/((-40)\/(-400)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 52\/2979581 and -1\/22.\nAnswer: 5959162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 - 12*u - 3. Let t(v) = -v**2 - 6*v - 2. Let c(r) = 3*i(r) - 5*t(r). Calculate the remainder when c(-7) is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 8*m + 2. What is y(-2)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1\/12 - -1\/4. Let v = -0.203 - 0.797. Which is the third biggest value? (a) v (b) -3 (c) u (d) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 + 13*k**2 - 36*k + 37. Calculate j(-15).\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 + c - 1. Suppose 0 = 2*y - 0*y - 10. Let r(t) = -8*t**2 - 7*t + 5. Give y*v(u) + r(u).\nAnswer: -3*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 28003 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 1 - c**2 - 1 - c. Let p = 98 + -65. Suppose -28*r + p*r = -25, 0 = 2*q - 3*r - 13. Let m(g) = 6*g**2 + 5*g. Give q*m(u) - 5*h(u).\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 43810 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1423.\nAnswer: 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -20345609*n**2 - 17300877.\nAnswer: -40691218*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000031893411 rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -11900 to the nearest one thousand.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 92 + 160 = 0. Suppose 4*i - 5*i = -c. What is the second derivative of -12*r**2 - 4*r**2 + i*r - 57*r wrt r?\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 34397 - -7321. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 3:10 PM?\nAnswer: 6:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -811 + 830. What is the greatest common factor of r and 798?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (45 + (-1 - 0))\/(1\/1). Suppose 0 = -v - 2*d + r, -d - 2*d = v - 49. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 PM and 9:59 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 129 and 3268.\nAnswer: 9804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 97223 times -0.4\nAnswer: -38889.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkklknllkeeklkell. Give prob of picking 2 e and 1 k.\nAnswer: 21\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*q + 0*q - q)*(-3*q + 2*q + 2*q) + 2*q**2 + 117 - 53 - 55 to n + z*q + m*q**2 and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -122236*r**2 + 77042*r + 2 wrt r?\nAnswer: -244472","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from knnzkzknkzzkznzz. What is prob of picking 1 z and 2 n?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of 37 - 1\/3*r + 1\/9*r**3 + 0*r**2. Factor i(g).\nAnswer: (g - 1)*(g + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 1332*n**2 + 1264*n**2 + 2*n - 3374*n**2. Let g(z) = -3*z. Calculate g(y(k)).\nAnswer: 2334*k**2 - 6*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/6)\/(2\/(-15)) - 2103\/(-1402). Let p(j) = j**3 - 6*j**2 + 4. Let b(x) = -2*x**3 + 11*x**2 - 7. Determine d*b(a) + 7*p(a).\nAnswer: -a**3 + 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6052.755l?\nAnswer: 6052755","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -131*z - 159 + 274*z + 146*z.\nAnswer: 289*z - 159","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -71820149*b**2*q - b**2 - 2*b*q - 2*b - 550*q + 3039 wrt b.\nAnswer: -143640298*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 23 = -19 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 115896972 - 115897125 - 6*a**2 + 5*a**2.\nAnswer: -a**2 - 153","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*l**2*q + 1282*l**2 + 4*l*q - 2*l + 864031*q wrt l?\nAnswer: -4*l*q + 2564*l + 4*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(864) - -2*sqrt(864))\/((sqrt(144)*4)\/sqrt(12)) + -1)**2.\nAnswer: -9*sqrt(2) + 83\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 149 + -130 + 131 + (-6 - 9 - 0).\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that k**5 - 15228*k**4 + 76116*k**3 - 15202*k**2 - 319701*k + 274014 = 0.\nAnswer: -2, 1, 3, 15223","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*c**4 - 283*c**3 - 18*c + 63 wrt c?\nAnswer: 36*c**2 - 1698*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-7)\/(-14) + (-2)\/(-8). Let j = 2437 - 2435. Which is the second smallest value? (a) -0.3 (b) 4 (c) z (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -k**2*p**3*t**2 - k**2*p + 2797*k**2*t + 3*k**2 + 83670*k*p**3*t**2 + p**3 + 2*t wrt t?\nAnswer: -2*k**2*p**3 + 167340*k*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21524947*w**3 - w**2 + 12745336*w wrt w.\nAnswer: -129149682*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -492*w + 6348 - 936 = 0 for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 387 - 52. Let a = v - 186. List the prime factors of a.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -89.3 rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 3*k + 259, 5*k + 261 = -2*g - 2*g. Let u = 191 + g. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f**3 - 134*f**2 - 2176*f + 2312 = 0 for f.\nAnswer: -34, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -5*m**3 + 9*m**2 + 15*m - 39. Let o(y) = 2*y**3 - 5*y**2 - 7*y + 19. Let i(b) = 3*n(b) + 7*o(b). Let z be i(-7). Put z, 3, 2 in increasing order.\nAnswer: z, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -4*k**3 + 9*k**2 + 56. Let h(l) = -l**3 + 2*l**2 + 14. Let b(j) = 9*h(j) - 2*s(j). Let n be b(0). Let v = n + -8. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -122*-914\nAnswer: 111508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74 - 24 + 110*n**2 - 6*n**2 + 98.\nAnswer: 104*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -7*u - 28. Let l(p) = -p - 5. Let a(x) = 5*b(x) - 28*l(x). Let z(q) = -q**2 + 5*q. Calculate z(a(w)).\nAnswer: -49*w**2 - 35*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, u: 6, t: 2, l: 2, y: 2, x: 2}. Give prob of sequence txxy.\nAnswer: 1\/7140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - 0 - 5) + -1. Let o = -6 - l. Suppose o = 4*k - 12. Which is smaller: 1 or k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53 is divided by (1\/3)\/(7\/399 - 0)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 59101*s**3 + 14*s**2 - 7*s + 21. Let b(o) = 19701*o**3 + 4*o**2 - 2*o + 6. Determine 7*b(v) - 2*j(v).\nAnswer: 19705*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10.7794 + 10.61. What is s rounded to 2 decimal places?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3453431.\nAnswer: 17, 31, 6553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -18*n + 11. Suppose -3*h - 5*j = -h - 7, 4*j = 12. Let x(i) = 19*i - 11. Let f(g) = h*x(g) - 5*c(g). Let s(a) = 9*a - 7. What is -5*f(y) + 8*s(y)?\nAnswer: 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 357423 to the power of 1\/3, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2613)\/12328 + (-1)\/(-8).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3579905*o + 3354676.\nAnswer: 3579905","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -34 - -19. Let y = -175 + 175. Is y greater than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -363*g**5 - 660*g**4 + 129*g**3 - 6*g**2.\nAnswer: -3*g**2*(g + 2)*(11*g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.4 and 60984195308648.\nAnswer: 60984195308648.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -28*q + 4. Let v(j) = 55*j - 9. Let k(n) = 7*l(n) + 3*v(n). What is the remainder when (0 - -4) + 5 + -3 + 57 is divided by k(-1)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 1, -2, 2451, -1.\nAnswer: -2, -1, 1, 13, 2451","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -6*j**3 + 7*j**2 - 2*j - 13. Let o(y) = -3*y**3 + 3*y**2 - y - 6. What is -5*o(g) + 2*v(g)?\nAnswer: 3*g**3 - g**2 + g + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -217\/5 or 16\/9?\nAnswer: 16\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0 (b) -27 (c) 2 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(-8) - 2888958\/(-48). Suppose 3*t + 3*y = 60159, -3*t - 68*y = -72*y - z. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 78*h**2. Let x(p) = 321*p**2. Calculate x(g(o)).\nAnswer: 1952964*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - -5. Suppose -3*n + 14 = 4*a - g, 3 = -2*a + 3*n. Sort -3, 5, a.\nAnswer: -3, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 680 * -0.027.\nAnswer: -18.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110101000100101110011011 + 0?\nAnswer: 1110101000100101110011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -257 - -253. Which is greater: l or -18\/5?\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of -80\/3*i**3 + 221 + 5\/4*i**4 - 490*i + 385\/2*i**2. Factor u(l).\nAnswer: 5*(l - 7)**2*(l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -271, 110, 743, 1628, 2765, 4154?\nAnswer: 5795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1620030, 1622229, 1624438, 1626663, 1628910, 1631185?\nAnswer: 1633494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -171 + 73. Let w = -94 - i. Solve 2*n = -w*s + 22, 5*n + s - 26 + 7 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(-4)*((-180)\/22 - 114\/(-627)). Solve 109*o = 97*o - l for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -v**2 - v**2 + v**2 + (-4*v + 2*v + 3*v)*(-4*v + 4*v + v) + 132*v**2 + 137*v**2 - 166*v**2 + 4*v**2 - 2*v + 2*v as y*v + o + h*v**2 and give h.\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2332*u - 2283*u - 1107*u + 1772*u)*(2*u + 2 - 2) to l + c*u + d*u**2 and give d.\nAnswer: -7900","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/5 - (-1)\/5. Put 0.03, 2\/25, r in decreasing order.\nAnswer: 2\/25, 0.03, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 - -7. What is the remainder when 31 is divided by 3*q\/(-30)*22?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17\/(-1700)*25*5\/(-10)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l - 2*l + 4*l)*(-4 + 1 + 1) - l - l + l + 6*l - 2*l - 3*l - 46 + 46 - 30*l + (-1 + 1 - 2)*(-l + 4*l - 5*l) - 4 - 2*l + 4.\nAnswer: -30*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*k - 26 = 14*k + 2*n, -3*k - 4*n + 3 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 7 - 3 + 6 + 4*s.\nAnswer: 4*s + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21aab24 (base 13) to base 11.\nAnswer: -5919411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_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: Let a(g) be the third derivative of g**6\/120 - g**5\/20 - g**4\/8 + g**3\/2 + 2*g**2 + 120. Let z = -17 - -24. Suppose 0 = -o + z - 3. What is a(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(1\/4)*z**(-2\/27))\/(z**(1\/5)\/z**(-11)) assuming z is positive.\nAnswer: z**(-5683\/540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 17 - 4*v**3 + 14*v + 5*v**3 - v**3 - 16*v**2 + v**3. Let m be q(15). Suppose -1 = 4*p + 3*s + m*s, -4*s - 8 = -4*p. Is p at least 4\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 594.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42917 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 1\/6, 3, -33.11, 0.1, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 435 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 82, 15, -4, 3 in descending order.\nAnswer: 82, 15, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - -c72?\nAnswer: c6f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2753381153 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 + (-3 - -2))*1. Is -8 less than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -468 divided by -6.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -8*n. Let z(t) = 14*t**2 - 5. Determine h(z(i)).\nAnswer: -112*i**2 + 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 - 3)*(-17*l + 81 - 81)*(6*l - l - 2*l)*(l - 3*l - l).\nAnswer: -918*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 162926896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15052125?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 44 = -4*n, 45 = 18*z - 16*z - 5*n. Let j be (-56)\/66 + z\/30. Let r = -2 - 0. Which is the third smallest value? (a) 0.4 (b) j (c) r (d) -2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28*k**2 - 105977*k + 105977*k)*(3 - 1 + 5)*(2 + 2 - 6)*(0 - 4 + 1).\nAnswer: 1176*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 48*w**3 + 131*w**2 - 64*w - 203. Determine t(-3).\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -238 = 3*o - 2*o. Suppose -626 + 1990 = 4*h. Let z = o + h. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (79771 - 1398*c - 79771)*(2*c - 5*c + 2*c).\nAnswer: 1398*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of 4885*k**4\/12 - 2281*k**3\/2 - 781*k - 6. Find the second derivative of c(m) wrt m.\nAnswer: 9770","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(1\/2))**(2\/5))**(-13\/6) assuming g is positive.\nAnswer: g**(-13\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-58 + 58 + p + (-1 - 8 - 7)*(-1130 - 52*p + 1130))*(-3 + 2 + 0).\nAnswer: -833*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5 and 11747157.\nAnswer: 11747162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*y**5 + 12*y + 2*y**3 - y**5 - 11*y + (-2*y**4 + 0*y**4 + 4*y**4)*(-4*y + 5*y + y) + 4*y**5 + 5*y**3 - 5*y**3 + 0*y**5 + 3*y**5 - 2*y**5.\nAnswer: 11*y**5 + 2*y**3 + y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 968628?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 616 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2542\/4245 + -1\/849. Let m = -11.8 + 12. Does q = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 129854378*t**2 - 494434*t + 150 wrt t.\nAnswer: 259708756","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1029496\/3 or 343166?\nAnswer: 343166","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**0*n**(-2\/9))**(6\/17)*n**(-1\/5)*n\/n**(2\/7)*(n\/n**(-2\/27))\/(n**(5\/4)\/n) assuming n is positive.\nAnswer: n**(80963\/64260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 113 = 4*j - 67, 0 = 3*o + 9. Let g = 99 - j. Calculate the remainder when g is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 115*b - 7. Let x be k(3). Suppose 0 = 4*o - 1050 - x. List the prime factors of o.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u + 2 - 2 + (1 - 5 + 1)*(0*u - 3*u + 2*u) - 3 + 2*u + 3)*(3 - 3 + 1).\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - 1. Let b = 7 + -9. Calculate the common denominator of b + a\/(96\/(-212)) and -10\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 290?\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 4*u - 4. Let o be n(1). Suppose -4*s + 45 = -0*h + h, -2*s = -4*h - 18. Suppose -2*c + 3*c + 4 = 0, c - s = -5*a. Is o > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-2\/19))\/(o\/(o\/o**(-13\/5)*o)) assuming o is positive.\nAnswer: o**(427\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19*v + 437 - 285 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 6*c + 32. What is r(-12)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x**2 - 5*x - 33. Let y(l) be the first derivative of l**3 + 7*l**2\/2 + 50*l + 2021. Determine -7*p(t) - 5*y(t).\nAnswer: -t**2 - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16402264 (base 7) to base 2.\nAnswer: 110000110000000110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 13, 2, -99?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of -h**6\/120 + h**5\/20 + h**4\/24 - 7*h**3\/6 + 7*h**2. Let j be z(3). Let f(x) = 5*x + 5 - 2*x + 0*x. What is f(j)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32, 49, 106, 227, 436?\nAnswer: 757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -28 or 1712?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4609883 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -568\/5*p**3 - 32\/5 - 448\/5*p + 320*p**2 + 34*p**5 - 398\/5*p**4 = 0.\nAnswer: -2, -1\/17, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - 5de?\nAnswer: -5db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9493722 and 147?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (((-3)\/4)\/((-6)\/16))\/1. Suppose q - s*o - o = 53, -319 = -5*q - 3*o. Is q a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2161.917l?\nAnswer: 2161917","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**5\/9 - 54*l**4 - 3604*l**3\/3 + 2308352*l**2\/9 - 4207360*l + 10350592 = 0.\nAnswer: -152, 3, 16, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o - 10. Let s = -7 - -7. Suppose 5*x + 3*v - 100 = s, -2*v = -2*x - 6*v + 40. Suppose -7*z = -3*z + x. Determine p(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.9 - 2.1. Let t = 0 + 0. Let m(i) = 2*i**2 - 11*i. Let l be m(6). What is the second biggest value in s, l, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 383696024?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(-20 + 1112\/48)?\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.05? (a) 0.23 (b) -3 (c) 2\/7 (d) 3 (e) -0.11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1411, -1715, -923, 959, 3925, 7969?\nAnswer: 13085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -6. Suppose 6*k = 988 + 2396. Suppose 558*z + 30 = k*z. Solve p*l = 2*l - z for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 415 a factor of 146565?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 3, -4, 6079, 11, 2 in ascending order.\nAnswer: -4, 2, 3, 11, 12, 6079","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*r = 7215 - 2139. Let s = 472 + r. What are the prime factors of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 2 r when four letters picked without replacement from krkrrrrkjrjkk.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 - 2*c**2 + 2*c + 3. Let h be g(-2). Let w = 1656 - 26485\/16. Calculate the common denominator of (-15)\/48 + 0 + h and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1375836, -37, -0.3 in increasing order.\nAnswer: -1375836, -37, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -t**2 - 20733*t - 2391572 = 0. What is t?\nAnswer: -20617, -116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1436 - -2?\nAnswer: -1434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30) + -2*sqrt(4320))\/(sqrt(12)\/sqrt(98)).\nAnswer: -161*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1152, -1157, -1164, -1173?\n\"Answer: -s**2 - 2*s - 1149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 64*o**2 + 241*o + 76. What is the remainder when z(-6) is divided by 101?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -3*g + 2. Let s(d) = d**3 + 8*d**2 - 2*d + 9. Let y be s(-8). Let z be (-20)\/y*(-1 + 6). List the prime factors of h(z).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 times -1?\nAnswer: -291","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -44, 3, 35, -2, 5 in ascending order.\nAnswer: -44, -2, 1, 3, 5, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**4\/5 + 16*d**3\/5 - 72*d**2\/5 - 432*d\/5 - 108.\nAnswer: 4*(d - 5)*(d + 3)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -155235 (base 7) in base 11?\nAnswer: -21035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.01 from 929066.\nAnswer: 929066.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 98778 by 1.\nAnswer: 98778","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -746 + 753. Let c be -283 - ((k - -1) + -2). Is -289 at most as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - 4*q + 4*q)*(-q + q - 2*q) + q + q**2 - q + (q + q - 3*q)*(16*q + 14*q - 9*q).\nAnswer: -24*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of -f**6\/6 + 4*f**5\/5 - f**4 - 2*f**3\/3 + 5*f**2\/2 - 2*f - 3. Factor v(o).\nAnswer: -(o - 2)*(o - 1)**3*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/10 and 43\/180.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 2 = -2*v + 2*y, 4*v + 24 = -3*y. Let b(t) = -2*t**2 + 8*t - 5 - 3*t + 0*t. Let l(m) = -3*m + 0*m**2 + m**2 + 3 + 0*m**2. Give v*b(r) - 5*l(r).\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/3*(-74)\/(-8)*-3. Suppose 2*y - r = 3*n, y + 2*n = -4*y + 185. Let f be 2\/(-7) - y\/(-7). Solve f*l - 20 = -3*h, -2*h = 3*h + 2*l - 27 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + -2. Let t be h + 2 + 4 + -11. Let c(k) = 13*k**2 + 25*k - 19. Let a(v) = 7*v**2 + 13*v - 10. Let q(x) = -11*a(x) + 6*c(x). Give q(t).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12170 and 23020.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 111 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 100010 (base 2) to base 15\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*n = 35 - 867 for n.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14621.\nAnswer: 14621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-66)\/(-14) - 2\/(-7). Suppose 4*g = n - w, 5*n + g - 3*g = 7. Let v = 646 + -646. Solve v = 5*s + 5*o, -n = s - 2*o - 13 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*q**2 - 4*q**2 + 6*q**2 + (-10*q + 8*q - 8*q)*(4 + 2 - 5)*(2*q + 0*q - 3*q) to the form j + w*q + k*q**2 and give k.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 7 - 11*f + 3*f**2 + f**2 - 2*f**2. Suppose 28 = a + 3*d + d, -5*a + d = -35. Is w(a) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000216852 to 7 dps.\nAnswer: -0.0000217","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k. Suppose 27 = -5*i + 42. Let q(w) = -1 + i - w + 0 + 3. Calculate p(q(c)).\nAnswer: c - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y**2 - 1470 + 736 - 8*y + 734.\nAnswer: y**2 - 8*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9.8 - 9.4. Let p be (2\/(-7))\/(504\/(-104) - -5). What is the third biggest value in -0.4, p, v?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -152382297 less than -152382294?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -6*t - 2. Put t, -3, -2 in decreasing order.\nAnswer: t, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1233 + 1232.9037. What is k rounded to 3 decimal places?\nAnswer: -0.096","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-10) + (-230)\/(-200). Let m be 6 + (0 - (1 - 0)). Suppose 8*y + 3 = 27. What is the smallest value in y, m, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55421953 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.026, -0.3, -2, -1\/3, 2\/17 in descending order.\nAnswer: 2\/17, -0.026, -0.3, -1\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, -15, -224 in ascending order.\nAnswer: -224, -15, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-30 - 24 - 20)*(-8*y + 14*y + 20*y)*(-2 + 5 - 4)*(y + 3*y - 3*y) to h + k*y**2 + n*y and give k.\nAnswer: 1924","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/2)\/((-945)\/(-180))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20291731 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.77738 rounded to 0 decimal places?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 6*b - 28 = -2*z, -2 = -z. Calculate the lowest common multiple of 4 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1867, -7481, -16845, -29965, -46847, -67497?\n\"Answer: -u**3 - 1869*u**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q**2 + 14*q + 20 = 0 for q.\nAnswer: -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.713 + -0.397. Let l = 108.11 + h. Let s = l + -105.99999933. What is s rounded to seven dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.16833 - -1.40063. Let x = -21.2363 + a. Let f = x + 20. What is f rounded to 2 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -587 + 1063. Let h(i) = k*i**3 - 480*i**3 - 4*i**2 - i**2 - 4 + i + 3. Let m be h(-4). What is the highest common factor of 9 and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjwg when four letters picked without replacement from {w: 3, j: 6, g: 2, p: 1}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19 + -13. Let x be (-1)\/(-4) - (-35)\/20. Suppose -4*m = -6 + x. Let n(g) = -4*g**2 + 8*g - 5. Let f(j) = j**2 - j + 1. Calculate i*f(h) + m*n(h).\nAnswer: 2*h**2 + 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 n when three letters picked without replacement from {n: 9, o: 1, v: 6, y: 3}.\nAnswer: 72\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 18*k = 20*k, 3*v - 6*v + 8*k + 68 = -0*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.005098 to 4 dps.\nAnswer: 0.0051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 132\/(-12) - (-900)\/(-45).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -444443 (base 5) in base 13?\nAnswer: -715a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8835834 is divided by 1888.\nAnswer: 1882","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (2 - 3)) + 2 + -2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -131031332 + -2?\nAnswer: -131032000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (x**2 - 309*x + 32634 - 32634)*(-x**2 + 3*x**2 - 6*x**2) to t + y*x**4 + g*x**2 + v*x**3 + p*x and give v.\nAnswer: 1236","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1502, -1526, -1568, -1634, -1730?\nAnswer: -1862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 4*r + 422 = 67, 0 = -5*p + r + 1775. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2706?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4 - (-315)\/(-81)) + (-25244)\/(-9). Suppose 16*i = i + c. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 + 14 = 4*y - 4*d, -4*d = -5*y + 39. Suppose -p = -9 + 4. Suppose -8 = p*b + y. Let c(i) = -i + 1. Determine c(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - 14 + 22. Suppose 0 = j*p + p + 3*z + 141, 17 = -p + 5*z. Let g be p\/16 + -5 + 8. Which is the closest to -0.1? (a) -1\/8 (b) 1\/4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 852*z**4 + 27*z**3 + 3*z**2 + 5*z**3 - 57*z**3 + 23*z**3 to the form i + u*z**4 + d*z**2 + t*z**3 + y*z and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 78.8311ng in grams?\nAnswer: 0.0000000788311","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -2*g + 4*x + 4, -2*x = 0. Calculate the greatest common divisor of g and 50.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 4\/3, -7, 3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 0.07. Let y = c - 0.03. Let g = -0.039997 + y. Round g to 6 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12002100 (base 3) to base 12\nAnswer: 2190","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5 - 11)\/(6\/(-4)). Calculate the remainder when (p\/2)\/((-14)\/(-364)) is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 989016450.998538 + -989014696. Let y = b + -1755. What is y rounded to four decimal places?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-5) - 27\/60?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/11 (b) 0.05548 (c) 3\/14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r + 1. Suppose s + 2 - 7 = 0. Let m be z(s). Solve -v + m = v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.05 + -300.\nAnswer: -300.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.093 - 0.2144?\nAnswer: -0.3074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -693*s**3 - 43188*s**2\/5 - 40101*s\/5 - 378\/5 = 0.\nAnswer: -126\/11, -1, -1\/105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/20)\/((-1)\/(-11)*(-99)\/165).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19056, 38162, 57256, 76332, 95384?\nAnswer: 114406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 112786099 and 11855.\nAnswer: 2371","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express s + 101187 - 101187 - 498*s**3 + 4*s**2 as f*s**3 + o*s**2 + q + t*s and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 19*y**2 + 13. Let d(g) = -5*g**2 - 3. Give -26*d(s) - 6*i(s).\nAnswer: 16*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 0, 0 = 5*d - y - y - 190. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 5 - 2)*(0*v + 6*v - 3*v) - 129*v - 620*v + 3 - 92*v - 3 to the form h + q*v and give q.\nAnswer: -832","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -6*v**2 - v. Let d(g) = 2*g + 335. Determine d(x(i)).\nAnswer: -12*i**2 - 2*i + 335","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 PM and 6:05 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 446444 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4264718.\nAnswer: 2, 2132359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 + 58*p**2 - 109*p - 61. What is g(56)?\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**2 - 321*y + 7068.\nAnswer: 3*(y - 76)*(y - 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -4*d**3 + 199*d**2 + 86*d - 28. Let z(q) = -q**3 + 55*q**2 + 29*q - 9. Let b(p) = -2*y(p) + 7*z(p). Determine b(4).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2*b**2 - 27*b + 899. Let p be w(-29). Solve -2*y - 20 = -2*i, 2*y + 3*i + 0*i = p for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1205 divide 4404275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ubrcwwbeurcwccee. Give prob of picking 2 r, 1 b, and 1 c.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-3) + (-1)\/(-9)*3. Which is smaller: -3\/23 or o?\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 9980078.\nAnswer: 49900390","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/3602370 and -109\/64122186.\nAnswer: 320610930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, x: 6, h: 1, g: 1, y: 2, l: 5}. Give prob of picking 1 l, 1 m, and 1 h.\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 6*o + 62. Does 49 divide r(20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-1\/3)\/w*w*(w\/(w*(w**(-8)\/w*w)\/w)*w)\/w assuming w is positive.\nAnswer: w**(26\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 9 = -4*b. Suppose -2*i + 11 = b. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 99\/27 - (-4)\/(-6). Suppose -5*w + b = -4*w - 13, -s*w + 49 = -5*b. Solve w*q = 7*q - 2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 10*q. Let g(v) = -v - 3*v + v. Calculate -21*g(l) - 6*u(l).\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -250 times 1067\nAnswer: -266750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nmmhmzzmmmmzmzmh. What is prob of picking 1 n, 1 h, and 2 z?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1533 or 1528?\nAnswer: 1528","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 71116559 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 799*t - 10720 = 22838 for t.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 + 2 - 6 + 6*v - 8*v.\nAnswer: -2*v + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 PM and 10:57 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4\/21 - -29\/42. What is the nearest to m in -0.3, -2\/15, -4?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 49 and 1568.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 85 - ((-22 - -3) + 65 + -18)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-4)*(y*y**(-7))\/y*y*y\/y**1*y*y\/y**(-2))**(23\/4))**41 assuming y is positive.\nAnswer: y**(-2829\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence upup when four letters picked without replacement from {a: 7, u: 6, p: 4}.\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, h: 2, d: 1, q: 1}. Give prob of sequence lhd.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 150 and 2649765.\nAnswer: 26497650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of -1\/6*c**4 + 0*c**2 + 0 + 0*c**3 + c + 0*c**5 - 1\/10*c**6. What is the third derivative of z(x) wrt x?\nAnswer: -72*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8123947?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143*n + 41*n - 4140 + 8372 = 0 for n.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -113012?\nAnswer: -3\/113012","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 13137 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -41930*c + 41940*c. Solve 4*f + 16 = c, q - 9*f - 24 = -4*f for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = 5*s - 29, -376*p - 7 = -2*s - 373*p for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yiyoioooy. Give prob of picking 1 o and 3 y.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 - 11*z**2 - 10*z - 6. Let y be a(12). Let s be 3\/(-5) + y\/(-45). What is the units digit of -11*(-4 + (-3)\/s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29008282021 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/8*(-3 - (-65 + 10)). Suppose 5*q + g - 262 = 0, -5*q = -2*q + 3*g - 162. What is the greatest common divisor of j and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 1085386.\nAnswer: -3\/1085386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8320382798496013\/107242 + 77585114028. Let q = -8\/1849 + w. Find the common denominator of (-114)\/(-20) - 2\/1 and q.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, t: 6, n: 2}. What is prob of sequence nhh?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1263*y = 874*y + 3248*y - 929*y + 592648 for y.\nAnswer: -133","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-44)\/66*93\/2. Is -31 < y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 21? (a) -9 (b) 3 (c) -3 (d) -2 (e) -110\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36275 divided by 1451.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 4*x - 5. Let l(t) = 5*t - 5. Let q(n) = 5*l(n) - 6*m(n). Let b be q(-6). Is -2\/17 < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*d - 44310840 = -7*d - 45*d. Round d to the nearest ten thousand.\nAnswer: 410000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (12\/(-90))\/(-9 - -8 - 2262\/(-2280)). Factor 0*c + 722\/9*c**4 + m*c**3 + 0 + 8\/9*c**2.\nAnswer: 2*c**2*(19*c + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 - m + 5. Let f(i) = i**3 + i**2 - 2*i. Let l be f(-2). Let g be (1 + (l - 1))\/1. Let w be o(g). Solve -p + 4*r = -5, 3*p - p - 7 = w*r for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a millennium in months?\nAnswer: 31200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 - 5*h**2 - 3*h - 2. Let x be (-750)\/(-7) - ((-65)\/35 + 2). Let g be x\/21 + (-6)\/63. Give d(g).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-429)\/(-858)*2\/12*(-12)\/(-16)\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -4*t**3 - 7*t**2 - 8*t + 5. What is the tens digit of m(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/72 and 89\/48.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(-20)*15\/(-18). Let s = -2.18 + 0.18. Let a = s - -2.1. What is the closest to 0 in a, o, -4\/9?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 3*i - i - 3 + 2. Let v be l(4). Round v to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -68*a + 1147. Is v(-46) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 54 and 14932824.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*d - 4*i + 124, 107746 = -3*d - 98*i + 107976 for d.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 72\/7 of a week in hours?\nAnswer: 1728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -325*o = -337*o + 27924. Calculate the remainder when o is divided by 579.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1, 5, 13, 23, 35, 49, 65?\n\"Answer: o**2 + 3*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 199790*q**2 + 13*q - 107. Let t be c(9). Round t to the nearest one hundred thousand.\nAnswer: 16200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 117859*s - 235711*s + 117855*s - 20.\nAnswer: 3*s - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/2)*z)\/z**(-1\/7)*z**(-1)*z**(4\/3)*(z*z*z*(z**(2\/21)\/z)\/z*z\/(z\/z**(8\/7)))**(-8) assuming z is positive.\nAnswer: z**(-223\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2 + -0.1. Let j(b) = 16*b + 286. Let z be j(-18). Let o = 0.3 + -1.3. Sort z, v, o.\nAnswer: z, o, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6668 + 6669. Which is greater: j or -33\/146?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -4*h - 3. Let a be 14\/6*3\/1. Let b(x) = x + 1. Let g(t) = 11*t + 9. Suppose 5*d = -4 + 9. Let z(r) = d*g(r) - 2*b(r). Calculate a*n(l) + 3*z(l).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of 2*f**3\/3 - f**2\/2 - 3*f - 14. Let n be j(-9). Suppose 9*z - n = z. Is z a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -5. Calculate the highest common divisor of x and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9613?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -4\/421, 2, -0.2, -187 in descending order.\nAnswer: 2, 0.5, -4\/421, -0.2, -187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1548, -3097, -4646, -6195?\nAnswer: -7744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -91591017, 3\/4, 1?\nAnswer: -91591017","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1539) + -2 + 5)**2 + ((sqrt(931) + 1 + sqrt(931))*-3)**2)*4.\nAnswer: 1224*sqrt(19) + 140292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2*b. Suppose 15 = 33*f - 28*f. Let k(o) be the third derivative of -5*o**2 - 2\/15*o**5 + 0*o**4 + 0 + 0*o**f + 0*o. Calculate w(k(q)).\nAnswer: 16*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 213990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kid when three letters picked without replacement from {d: 1, k: 1, i: 1, z: 2}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1434 + 1434.000002894. What is h rounded to 7 decimal places?\nAnswer: 0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 7 = -c, 5*c - 4*c - 3*u + 8 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1720006 + -1 + -4 + -1. What is u rounded to the nearest 100000?\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-3)*69966\/1196. Solve n*u - 19 = 20 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 + 19. Suppose -5*s - 2*j + y = -32, 5*j + 3 = s. Is s a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 13\/8 of a hour?\nAnswer: 5850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 94620 divided by -6?\nAnswer: -15770","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 102 + -42 + (-6 - 13).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/8*26\/(-39)*(-38)\/(-1197)?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of a**6\/160 + 3*a**5\/80 + 3*a**4\/32 + a**3\/8 - 12*a**2. Factor w(s).\nAnswer: 3*(s + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3532567647 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) 1\/6 (b) -1\/6 (c) 63 (d) -13\/2 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, 20, 53, 110, 197, 320?\nAnswer: 485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 AM and 8:36 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10683?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -521 = 6*j - 267 - 230 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33 - 34 + 2*o**2 - o**2)*(-10*o - 33*o + 3*o) + (0*o + 3*o - 5*o)*(o - o + o**2).\nAnswer: -42*o**3 + 40*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -j**6 - 293097*j**4 + 2237978*j**2.\nAnswer: -120*j**3 - 7034328*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -145*z - 12661. What is d(-86)?\nAnswer: -191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24 - -28. Suppose k*n - 12 = -4*o, n + 5*o = 2*n + 3. Solve -9 = n*r - 1 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 3080 + 604 = 0. Suppose -10*s - 109 + d = 0. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 726 and 60?\nAnswer: 7260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 8 + 4 + (-8 - -4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of -x**5\/60 - x**4\/12 + 2*x**3\/3 - 13*x**2. Let f be t(-2). Let d be 376\/(-72) + f\/18. Round d to 0 decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 75 and 36165?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 AM and 4:13 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -94*o**2 + 2569*o - 2. Let f(k) = -32*k**2 - 1. Determine -3*f(g) + x(g).\nAnswer: 2*g**2 + 2569*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*d = 22*d - 194 - 11 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 619 * 2.\nAnswer: 1238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112)\/(sqrt(7)*-2 + sqrt(7)))\/(sqrt(32) - (sqrt(32) - sqrt(128)\/sqrt(4))).\nAnswer: -sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 19032 from -0.040672.\nAnswer: -19032.040672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by -1218888.\nAnswer: 7\/1218888","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -161874*z + 80805*z + 80777*z.\nAnswer: -292*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 11, i: 5}. What is prob of sequence zz?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3336 times -2?\nAnswer: 6672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000449561858 to 6 dps.\nAnswer: 0.00045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s**5\/7 + 2*s**4\/7 - 4*s**3 + 52*s**2\/7 - 38*s\/7 + 10\/7 = 0.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4279966 (base 11) to base 10\nAnswer: -7523973","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*p + 24*p + 0 + 3 - 8*p to the form l*p + a and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-10) + (-1434)\/(-15). Let x = n - 66. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1916\/3*(17 + -14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**5\/4 + u**4\/4 - 3*u**3.\nAnswer: u**3*(u - 3)*(u + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 - 107*d - 788. Let z be n(-9). Calculate the greatest common divisor of 517 and z.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 140*-1*288\/120. What is the units digit of a\/7*74\/(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.3 + 8.2. Let h = x - 10.9. Which is the closest to 2? (a) -4\/5 (b) h (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 - 3*g. Let u be p(-15). Suppose -u = 5*t + 5*m, 2*t + m - 3*m = -92. Is t bigger than -50?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -0*z + 5*m + 1905, 5*m = -5. What is the hundreds digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 207*a**3 + 2*a**2 + 4*a**2 + 183*a**3 + 3 - 4*a**2 - 3.\nAnswer: 390*a**3 + 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 17*h**3 + 7*h**2 + 17*h + 11. Calculate j(-1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 + 1)*4\/8. Solve 0*g - 2*g + 4 = x for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 - 20*b**2 + 24*b - 83. Determine v(-22).\nAnswer: 357","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.06 + -0.36. Let f = n + 0.4. Let u = f + -0.3. What is the smallest value in 0.1, u, -2\/17?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - 4. Let u(q) = 7*q**2 + 2*q + 6. Is u(b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}