diff --git "a/data/dm_maths/full_data_1/10901_11255.jsonl" "b/data/dm_maths/full_data_1/10901_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10901_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Suppose -4*t + 33 - 13 = 0. Let l be t\/(-6)*(-9)\/(-30). What is the smallest value in l, -3\/4, -0.4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*b**3 + 4*b**3 + 2*b**4 - 2*b**2 + 2*b - 2*b**3 + 0*b in the form l*b + o*b**4 + x*b**2 + a + j*b**3 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-4))\/1*(-4)\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -106 - -33?\nAnswer: -b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + 3*78\/(-9). Let q = v + 19. Let h be ((-4)\/q)\/((-1)\/(-4)). Is h >= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 3 = -49. Let l = n + -8. Suppose 4*y - 4*q - 464 = -0*y, 2*y - 253 = -l*q. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -q + 5*z - z, -8 = 2*q - 5*z. Suppose -4*n + 70 = 3*c, -4*c = -c + 2*n - 80. Let u be (-6)\/10*c\/48. Which is bigger: q or u?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -887 - -2663\/3. Let o = -0.06 - -0.46. Which is the closest to s? (a) o (b) -3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(4\/5)\/j**(1\/21))\/(j**20\/(j*j**(-34)\/j*j*j)) assuming j is positive.\nAnswer: j**(-5381\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1de - -16?\nAnswer: 1f4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 o when three letters picked without replacement from {a: 2, u: 3, c: 2, j: 8, o: 2, q: 2}.\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4755.644 nanograms to tonnes.\nAnswer: 0.000000000004755644","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 + 1 + -8 + 2 + (7 - 6) + 8?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*d + 3*k + 6, 0*d + d + k - 4 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 320 (base 7) to base 6\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 2:15 PM?\nAnswer: 11:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 767 = -4*c - 397. Is (7 - c)*1\/2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8*n**3 - 6233821*n**2 - 116895714.\nAnswer: 24*n**2 - 12467642*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 109 + -160. Suppose 7 = p - 2*p. What are the prime factors of d\/(-7) - (-2)\/p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 4*c = -c + 975, -2*h - c = -385. Calculate the greatest common factor of 10 and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6, 2, 3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -127.1141 + -0.1859. Let x = n + -39.7. Let d = x - -167.00000089. What is d rounded to seven decimal places?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -21, 0.1, 13 in decreasing order.\nAnswer: 13, 1\/3, 0.1, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 - 4*d + 11. Let q be j(0). Let z = -6 + q. Suppose z*y = -2*r + 21, y + y + r = 8. Solve 0 = -y*a - i + 26, 5*a - 4*i + 9 = 30 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 380\/60 - (-2)\/(-6). Suppose 0 = 2*i + i - p. Solve 3*s = -5*o - 15, -i*s - 6 - 4 = o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -v - 42. Let j = v - -3. Let l be (-8)\/18 - 10\/j. What is the closest to l in -5, 1, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 302093\/60 + -5034. Calculate the common denominator of -103\/60 and o.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**2\/4 - 7*w - 49 = 0. Calculate w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 169632540 to the power of 1\/2, to the nearest integer?\nAnswer: 13024","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 - 3*c**2 - 105*c - 1210. What is x(-9)?\nAnswer: -1237","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 169824884 to the nearest integer?\nAnswer: 554","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -110736 times 0.03\nAnswer: -3322.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*g - 25*g - 3050. Suppose -4*l - 486 = -4234. Let m = l + g. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-14766)\/(-72864) + (-2)\/96. Factor -28\/11*k + 0 + o*k**2.\nAnswer: 2*k*(k - 14)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v + 3*v + 0*v)*(-7*v**2 + 6*v**2 + 0*v**2) - 110*v**3 - 91*v**3 - 48*v**3.\nAnswer: -250*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -267*w**4 + 432?\nAnswer: -1068*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 4) to base 7\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -2 + (-2*sqrt(99) + sqrt(99))*1 + 2*sqrt(99)*-4 + sqrt(99) + 5*((sqrt(99) - (-4 + sqrt(99))) + -1).\nAnswer: -24*sqrt(11) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-9)\/2*((-646)\/51 + 12). Solve 0 = x*k - 5*b - 12, -b = -3*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 23*q - 175. Let c(u) = 32*u - 140. Let v be c(5). Let x be z(v). Is 285 greater than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -264 + 247. Let t = h - -20. Solve 0 = -2*c - 2*c - 16, t*r + 15 = -3*c for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1 + -1.1. Let s = -35197 - -35205. Which is the closest to w? (a) 2\/19 (b) s (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 3. Which is the nearest to k? (a) 0.3 (b) 0 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ho when two letters picked without replacement from hhhhohoo?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -5*o**2 + 17*o - 2. Let s(g) = 6*g**2 - 16*g + 2. Give -4*c(v) - 3*s(v).\nAnswer: 2*v**2 - 20*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*x**3 - 12*x**3 - 19*x**3.\nAnswer: -13*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in 3\/4, 0.12, -12700, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, -201, 3.1?\nAnswer: 3.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a**2 + 67 - 37 - 30.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*z - 76 = -42*z. What is the derivative of 4*v**3 - 271 - 4*v**3 - 40*v**z + 237*v**4 - 2*v + 32*v**4 wrt v?\nAnswer: 916*v**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10432\/(-49552))\/((-4)\/418).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.18 (b) 0.0316 (c) -744 (d) -1\/4 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 + 13*o**2 + 40*o + 3. Let k be b(-8). Let s(n) = n**2. Let w be s(1). Which is bigger: w or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14\/9 in 0.1, -15, -1, -5\/4, 0?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 617 a factor of 64895443?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 238, 476, 714, 952, 1190?\nAnswer: 1428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -2*b**2. Let k(r) = 321*r**2 + 1. Calculate q(k(x)).\nAnswer: -206082*x**4 - 1284*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -294 + 294. Suppose y = 2*i - 3*x + 640, 16*x = 4*i + 14*x + 1296. Which is greater: -328 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of -5*b**4\/2 - 3*b**3 + 3. Find the third derivative of r(w) wrt w.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*q = 18 - 5 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 557.19 millimeters in nanometers?\nAnswer: 557190000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 0.2, -1\/216, 0, 9\/20?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 1444 = -2*q - 9*r, 3*q - r = 2159. Is q a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 29 - 16 = 2*i, -8 = -4*i for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 27*(-5)\/(45\/(-12)). Let k = d - 20. Solve -3*w - k = w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2172*g + 519. Is y(1) a multiple of 299?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 - 186*j - 6781. What is y(-136)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -78*d**2 + 13*d. Let t(g) = -132*g**2 - 1850*g - 26. Let s be t(-14). Let k(o) = 13*o**2 - 2*o. Calculate s*h(f) + 13*k(f).\nAnswer: 13*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -19*k + 918. What is the remainder when z(-22) is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13\/(-52)*160\/16*4\/10?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (-36 - -1)\/(-7) - 117\/(-585).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 + 2 + 11 - 2) + 45 + -31 + -21.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -47 + 37. Let l(i) = -152*i + 88. Let k be l(p). What is the highest common divisor of k and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - 3103401?\nAnswer: -3103355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 13) to base 8.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -905, -904, -903, -902?\n\"Answer: v - 906","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/774)\/(240\/1080).\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.152 + -0.148. Sort -4, m, 2.\nAnswer: -4, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -30813 at least -35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 97502302 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2255 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 3*y + 65 = 0, 44441*y - 44443*y = -27*m - 993 for m.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -152*p**5 + 71387*p**4 + 2*p**2 - 11880145*p wrt p.\nAnswer: -9120*p**2 + 1713288*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -732, -6, 20, -20 in ascending order.\nAnswer: -732, -20, -6, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one fifth of a meter?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 4*x + 6686 + 3240 = 0, 2*r + 3976 = -4*x. Let w = -1359 - r. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 333\/5060 or -1?\nAnswer: 333\/5060","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 395*s + 23607. What is z(-60)?\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -1 - 3. Let k = q - -13. Suppose 2*a = -4*t + 393 + 121, 5*t + 3*a - 645 = 0. Calculate the greatest common divisor of k and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2383100 rounded to the nearest one hundred thousand?\nAnswer: -2400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 12*j - 5. Let r(z) = 13*z - 5. What is -6*p(g) + 5*r(g)?\nAnswer: -7*g + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 276ad (base 16) to base 12.\nAnswer: 79525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 3*n = 43, 4*n = 4*u - 13 - 83. Let a = -109 + 198. What is the remainder when a is divided by u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 62280 and 360?\nAnswer: 62280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 306 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**5 - 4*a**4 - 4*a**3 + 2*a**2 + 5*a + 2.\nAnswer: -(a - 1)*(a + 1)**3*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 407 and 231.\nAnswer: 8547","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (-635*12\/(-30))\/(4\/62) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64897506?\nAnswer: 2, 3, 41, 47, 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4468 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of -t**7\/2520 - 17*t**6\/720 + t**5\/20 + t**4\/6 + 8*t**2. Let m(f) be the second derivative of g(f). Does 10 divide m(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 + -9 + 5 + 10\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4127756927.\nAnswer: 7, 17, 139, 257, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 15 = 0, 2*k = -4*n + 138 - 110 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 - 56 - 10 - 6?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3295?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 303575*x**2 + 10 - 303738*x**2)*(4 - 3 - 2 + 1 - 2 + 2 + (-2 + 3 + 1)*(-2 - 1 + 1)).\nAnswer: 652*x**2 - 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 2726622?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-5)\/k)**20*k**13\/(k**(-8\/5)\/k) assuming k is positive.\nAnswer: k**(-522\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y**4 + 11 - 13493*y + 13492*y - 5*y**2 - y**3 + 14 as q*y + d*y**2 + t + s*y**3 + n*y**4 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**4 - 490*r**3 - 2535*r**2 - 4100*r - 2060.\nAnswer: 5*(r - 103)*(r + 1)*(r + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 42*a - 42. Let l be g(1). Suppose 4*h + s - 25 = 2*s, 4*h + s = 15. Suppose 3*x = h*f + 10967, f - 3661 = -x - l*x. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 - 15\/6*-2. Suppose -15 = 3*t, -2*k + k - 12 = g*t. Suppose -3*z = -k - 41. What is the remainder when 51 is divided by z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 183 = -175. Let f(u) = u**3 - 9*u**2 + 6*u + 16. Let s be f(t). Suppose s = 26*p - 28*p + 14. What is the highest common divisor of 63 and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7549 - s - 9571 - 2161 + 1166 - s in the form d + q*s and give d.\nAnswer: -18115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 AM and 2:47 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 29, 5, -2, 3, 21, -3 in descending order.\nAnswer: 29, 21, 5, 3, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 2*a = 12. Let w(r) = r**2 + 2*r. Let z be w(a). What is the units digit of (z\/(-28))\/(4\/(-14))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 15. Suppose r*y - 5*y = 92308. Let c = y - 127077. What is c rounded to the nearest ten thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.0897211 to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a meter in millimeters?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3840 and 4661040?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 322444721 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 243430221 is divided by 86.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 4*t + 72 = b, 4*b - 2*t + 306 = 0. Let j = b + 135. What are the prime factors of j?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71101 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o + 17. Determine g(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 + 16*v**2 + 56*v + 24. Let w be s(-3). Solve -3*b - w = -3*i, -5*b - 26 = -i - 1 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of z**6\/60 - z**4\/8 - 5*z**3\/6 - 21*z**2. Let r be q(-4). Let j = r + 228. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -0.51\nAnswer: -0.153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7902 + -7881. Which is bigger: -1.67 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.3, 0.066.\nAnswer: -4, -0.3, 0.066","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**4\/17 - 7658*g**3\/17 + 84540*g**2\/17 + 229536*g\/17 - 3317760\/17 = 0. Calculate g.\nAnswer: -3840, -6, 8, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 55*t**2 + 6*t - 15. Let d(c) = -c**2 - c + 1. Let x(i) = 6*d(i) + n(i). Differentiate x(z) wrt z.\nAnswer: 98*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-2))\/(16830\/(-408)).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2325*c**4 - c**3 + 2*c - 4391 wrt c.\nAnswer: -9300*c**3 - 3*c**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -9) + -1 + -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**5 + x**3 + x**2. Let f(t) = 6*t**5 - t**4 + 2*t**3 - t**2 + 1. Let y(g) = -2*d(g) + f(g). Find the third derivative of y(s) wrt s.\nAnswer: 240*s**2 - 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 2*m + 4. Let q(t) = -5*t + 32. Let i(n) = -9*n + 59. Let u(z) = 6*i(z) - 11*q(z). Let c(d) = 4*o(d) - 6*u(d). Determine c(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1424 (base 5) in base 10?\nAnswer: -239","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 3*v - 3863 - 24126, 5*u = v + 34989. What is the tens digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(176) + (sqrt(176) + -3)*-1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -238272*t + 3. Let d(h) = -71*h. Determine d(y(g)).\nAnswer: 16917312*g - 213","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 - 6*p**2 - 535*p + 2166. Calculate y(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 19*(-2)\/(-8)*4 - 0. Suppose -3*x + m = -38. What is the derivative of -77*b + 77*b - 10*b**4 + x wrt b?\nAnswer: -40*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of -1\/24*a**4 + 2\/3*a**3 + 7*a**2 + 0*a + 0. What is the remainder when l(-11) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*c**5\/2 - 201*c**4 - 1525*c**3\/2 + 8696*c**2 - 13728*c = 0.\nAnswer: -39, -11, 0, 8\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9623 - -48121\/5. Let c(n) be the first derivative of 2\/3*n**3 - 8*n - 1\/6*n**6 - 37 + 6*n**2 + b*n**5 - 11\/4*n**4. Factor c(j).\nAnswer: -(j - 2)**3*(j - 1)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 10 + 4 + 3*c**2 + 5.\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 5 - 2)*(23*a - 18*a + 4*a**3 - 22 - 6*a) in the form j*a**3 + m + f*a + l*a**2 and give m.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (15 + 0) - -4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, 0.5, -14\/5, -24, 3\/7, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of -o**4\/2 + o**3\/3 - o**2\/2 + o - 528. Calculate w(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74242*p**2 - 74141*p**2 + 148385*p**2.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-80)\/16*(-12)\/75.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 AM and 2:49 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 4*p + 0*p = -20, t - 2*p = 4 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 8*v**2 + 236*v + 3600. Let c(j) = 12*j**2 + 470*j + 7200. Let s(x) = x**2 + x. Let q(a) = c(a) + 3*s(a). Let z(l) = 7*o(l) - 4*q(l). Factor z(w).\nAnswer: -4*(w + 30)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = i + 3*f, -3*i + 4*f = -0*i + 88. Let h be (-8)\/i - (-1)\/(-3). Let s be (-36)\/(-60)*(5 + 0). Solve 5*a = -4*y + 36, s*y - a - 2*a = h for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-11)*i**(-2\/9))**3 assuming i is positive.\nAnswer: i**(-101\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2*(-2 + 0)*1. Let j(z) = -6*z**2 - 31*z + 27*z + 11*z - 6 + 2*z**3. Does 7 divide j(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/8)\/((-1)\/((-8)\/(-4))).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -507*z**4 - z**3 + z**2 - 1927. Let l(v) = -2025*v**4 - 4*v**3 + 3*v**2 - 7709. Let s(y) = -2*l(y) + 9*x(y). Find the third derivative of s(p) wrt p.\nAnswer: -12312*p - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 3)*(-3041*q**2 - 39*q + 6086*q**2 - 3043*q**2).\nAnswer: -2*q**2 + 39*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**2\/7 - 74*h\/7 - 372\/7 = 0.\nAnswer: -31, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*c = -10*c - 195. Calculate the remainder when 47 is divided by c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104545 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4656.\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14 - 4304?\nAnswer: -4323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 1 + 0)*(d + 4*d - 3*d) - 5*d + 4*d + 2*d)*(4*d**3 - d**3 + 2*d**3 + (-2*d**2 + 3*d**2 - 2*d**2)*(-d - d + 0*d)).\nAnswer: -21*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 362279 by 4.\nAnswer: 362279\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 6:40 AM?\nAnswer: 8:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 - 21*g + 74. Let k be a(-24). Solve -11*s = -k*s - 27 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 19*s**3 - 3*s**2 + s - 2. Let o be q(-4). Let c = o - -3778\/3. Is -11 at least c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 518824?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4451498?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17.424619 * -16.\nAnswer: 278.793904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 AM and 2:21 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11033 is divided by 5249?\nAnswer: 535","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -3*a - 2*x, -2*a + 4 = -5*x + 8. Suppose -a*g + 6*g = -33. Let o = 2 - g. What is the remainder when 25 is divided by o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 51006, 59004, 67002, 75000, 82998?\nAnswer: 90996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.08 (b) -0.01 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10110111111100 (base 2) in base 9?\nAnswer: 17130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 t when two letters picked without replacement from odtbbbbvbboobgbv?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 5*c - 6, p - 2*c + 2 = -4*c. Let b(i) = 3*i + 4. Let r(f) = 4*f + 5. Let w(z) = -4*z - 1. Let j be w(-1). Calculate j*b(h) + p*r(h).\nAnswer: h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.1865628 and 1\/93 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 16 - -2b1?\nAnswer: 2c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29555 is divided by 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1371773849 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/7905856 and 97\/141176?\nAnswer: 7905856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129760504 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -1*((-7 - 0) + -4267) is divided by 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28\/9 - 149\/45. Suppose 0 = -3*v + 2*z - 6, -2*v = 3*v + 3*z - 9. Let k = 846 - 850. Which is the fourth biggest value? (a) m (b) v (c) 5 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 1743*h + 1738*h + 15957, 0 = -f + h + 5311. List the prime factors of f.\nAnswer: 2, 2657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30667756 and 980?\nAnswer: 1073371460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2031504404 a multiple of 155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 3*k**3 - 57*k**2 - 42*k - 49. List the prime factors of s(20).\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 479 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2193.7*-0.15104.\nAnswer: -331.336448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 - 7*y**2 - 4. Suppose -3*f - 9 = -30. Determine g(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g - 2*g**2 + g**2 - 2 - 2*g. Suppose 0*t + 3*r = -2*t - 15, 2*t - 5*r - 9 = 0. Let d be x(t). Is d bigger than -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 6:49 PM?\nAnswer: 1:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(3\/4))\/h**(-2))\/((h*h**(-1))\/((h\/(h**(-1\/2)*h)*h*h)\/h)) assuming h is positive.\nAnswer: h**(15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2632?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + w + 23 = 0, 4 = 3*h + w + 19. Put 4, h, -756 in decreasing order.\nAnswer: 4, h, -756","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 + -23. Sort -4, i, 2\/3 in increasing order.\nAnswer: i, -4, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 452*z**2. Let l be k(-1). Suppose -l = -4*t + 1052. Suppose -2*b + 14 - t = -4*n, -92 = -n + b. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(63))\/sqrt(3))\/(sqrt(192) + 1*sqrt(192) - sqrt(192)))**2 - -2*(3*(sqrt(112) + 3 + sqrt(7) - sqrt(7)))**2.\nAnswer: 432*sqrt(7) + 34855\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 1, 4*l + l = -2*w + 161. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -3*j + 59. Let g be y(18). Suppose -r = -g*d + 14, -8 = 6*r - 4*r. Factor 6*z - 7*z**2 + 30 + d*z**3 - 12 - 3*z**2.\nAnswer: 2*(z - 3)**2*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.08 + -0.18. Let n = 3608 - 28865\/8. Which is the third biggest value? (a) n (b) 5 (c) j (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.2 + -0.8. Let n = h - 0. Put -2\/9, 2, n in decreasing order.\nAnswer: 2, -2\/9, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, 0, -1, 5.\nAnswer: -1, 0, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (13 - (4 - -2) - 10).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12.26 + -15.26. What is the nearest to -33\/7 in 1, o, 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19132, -76580, -172328, -306376, -478724, -689372?\nAnswer: -938320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - u - 1 = 1, -3*i - 14 = -5*u. Suppose -3*p = -4*p + i. Let w(g) = 5*g**2 - 2*g**p - 2*g**2 + 2 + 4*g. Give w(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13324 - 22842. Which is smaller: -9517 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (44\/10)\/(2\/40). Suppose -r = 3*x - 4*x. Let q be -2*2\/(-8)*22. What is the greatest common factor of x and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-33)\/(-22) - (-2)\/(-4). What is the common denominator of -85\/36 and n*4 - (-95)\/(-110)?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 16\/9, -0.164, -2\/5, -5, -2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = -2*o - 12, 2*s = -4*o + 7*s - 26 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 + -9. Let x(f) = 2*f**2 + y*f**2 + 2*f - 3*f**2. What is the smallest common multiple of x(-2) and 14?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 463.6 rounded to the nearest ten?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 113200 (base 6) to base 11.\nAnswer: 73a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-2*sqrt(405))**2 + sqrt(405) + 0 + 1.\nAnswer: 9*sqrt(5) + 1623","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 150366525.\nAnswer: 3, 5, 23, 61, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7552768 - -0.36.\nAnswer: 7552768.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25 - -26. Let i(z) = 5*z - 1. Let d be i(s). What is the third derivative of -7*p**2 + 10*p**d - 5*p**6 - 10*p**4 wrt p?\nAnswer: -600*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2 - 0. Let g = 55\/2 - 29. Let s = -0.17 - -3.17. Which is the biggest value? (a) s (b) g (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2\/9, 837, -4\/15, 4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u + 1. Let x(t) = -t**2 - 6. Let g be x(0). Let a = 19 - g. Calculate the remainder when a is divided by r(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37394 - 136956 = 3280*z + 25730 for z.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -3*w**2 + 173*w - 2091. Calculate m(22).\nAnswer: 263","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 8 - 8. Let f = 15 - t. Is 7 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 861\/1508 + -16\/29. Is 5 >= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w - 7*w - 322 = 0. Suppose 3*i = -20 + w. Suppose 0 = 7*r - i - 23. Does 5 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 - 7. Factor -w*t + t**3 + 2*t + 3*t - t + 2*t**2.\nAnswer: t*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 653, 2\/21 in decreasing order.\nAnswer: 653, 2\/21, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2371*o**2 - 562*o**5 - 2371*o**2)*(-13 + 8 + 14).\nAnswer: -5058*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 17158636?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -67, -800, -2981, -7396, -14831?\nAnswer: -26072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (11000\/(-25))\/5*(50\/4)\/(-5). Calculate the highest common factor of g and 1628.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-590)\/90 + 7 + 76\/(-90). Which is smaller: -0.017 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00021727634 rounded to 5 decimal places?\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 5*l + 30 = 0, -4*s + 36 = -174*l + 170*l for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4393854475.99999979 + 4393854452. Let o = 24 + m. What is o rounded to seven dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 x when two letters picked without replacement from ygygyxyxy?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 7 - 28)*(0*t - t - 2*t + (0 - t + 0)*(0 + 1 + 0)).\nAnswer: 112*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1048083 (base 9) in base 8?\nAnswer: 2114610","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -202 + 238. Let o = j + -39. Let r = 1.3 + -6.3. Which is the closest to 2\/5? (a) r (b) -4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 825849180 divided by -6201.\nAnswer: -133180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/2 + 1810*l + 3621\/2.\nAnswer: -(l - 3621)*(l + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -512*l**2 - 246*l + 246*l - 415*l**2 to t + f*l + c*l**2 and give c.\nAnswer: -927","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -122*u + 35*u + 38*u + 33*u + 16*u**2 wrt u.\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 234 and 43186.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -21*d + 66 - 3 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-69)\/(69\/(-23)))\/((-4)\/(8\/2))\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1608 and 6834?\nAnswer: 27336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-12 - 4) + (-4)\/(-4). Let y = -10 - a. List the prime factors of y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(187) + 1*sqrt(187)) + sqrt(187))*-2)\/(sqrt(11)*1*1*-6).\nAnswer: -5*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c + 1. Let d = -10 - -6. What is the units digit of t(d)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + (-40)\/(-22) - 3817310\/(-253). Suppose -u + 5308 = -15*g. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 47\/6 in -1\/11, 140, 0.12, -3?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = 4*w - 77. Solve 5 - w = -3*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -29558741*w**5 + 442*w**2 + 2*w - 37497.\nAnswer: -1773524460*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 0*i = 0. Suppose -4*s - s + b + 72 = i, -3*s + 2*b = -39. Suppose 2*f = -4, 44 - s = 3*u - 4*f. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 593, 4747, 16001, 37901, 73993, 127823?\nAnswer: 202937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 11:24 PM?\nAnswer: 11:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = -1896*x + 1892*x - 4, -4*w - 28 = -2*x for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 80789453 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 103 - 98. Suppose 0 = 3*m - u*f - 130, -5*m = 6*f - 2*f - 192. Suppose 3*p = -0*p + 42. Calculate the remainder when m is divided by p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 118, -35, -250, -521, -842, -1207?\nAnswer: -1610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-917*c - 53*c - 114*c)*(0 + 1 - 2)*(-5*c + 5*c + 4*c**2).\nAnswer: 4336*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 6*a = 3*b - 24, a + b = 7 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 255695?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 131232840.\nAnswer: 2, 3, 5, 251, 4357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -4*h + 44. Let t be p(-25). What is the highest common divisor of 12 and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 10*w**3 - 7*w**2 - 7*w - 2. Let d(h) = h**3 - h**2 - h. Let g(t) = -6*c(t) + 42*d(t). What is the derivative of g(r) wrt r?\nAnswer: -54*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 PM and 5:41 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 613 is divided by 117.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 64436, 66405, 68374, 70343, 72312?\nAnswer: 74281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(72)\/sqrt(4))**2 - (sqrt(18) - ((1 + sqrt(18))*6)**2))*3.\nAnswer: 639*sqrt(2) + 3996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + -1. Suppose -h - 692 = -z*b - 0*h, -2*b = 5*h - 324. Suppose -2*f + 312 = 224. Calculate the remainder when b is divided by f.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.06 or -84098?\nAnswer: -84098","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 702263 (base 9) in base 8?\nAnswer: 1452454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -594*s**6 + 31*s**2 - 12 wrt s.\nAnswer: -71280*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.45191112 rounded to 1 dp?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 - 11*h**2 + 11*h - 15. Let r = 32 - 44. Let p be w(r). What is the biggest value in p, 3.9, -2, -2\/19?\nAnswer: 3.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94861.\nAnswer: 13, 7297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(152) - 1*sqrt(152)) + sqrt(152) - sqrt(152) - (sqrt(152) - 1*sqrt(152)*-3 - sqrt(152)))\/(4*-6*(sqrt(8) + -2*sqrt(8))).\nAnswer: -sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -149397, -597553, -1344483, -2390187, -3734665?\nAnswer: -5377917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 7868517, 7868519, 7868521, 7868523, 7868525?\n\"Answer: 2*z + 7868515","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -61 - -63. Let n be q\/(-8) - 63\/4. Let o be (12 + n)*(-2)\/8. Let l(y) = 5*y**2 - y. Determine l(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 + 9*p - 9. Let m(j) = -j + 1. Suppose -c - 1 = 0, -1 - 12 = -4*h - 3*c. Let u(l) = h*x(l) + 36*m(l). Solve u(r) = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-59)\/(-22) + (-100)\/40 + 0. Which is the closest to f? (a) 5 (b) -5 (c) 2 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 0)*3\/((-18)\/30)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 799 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4899 - -9123. What are the prime factors of l?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -350 - -355. Let p(c) = 7*c - 7. Let l(d) = -8*d + 7. Let z(j) = 5*l(j) + 6*p(j). Give z(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of -z**8\/2520 + z**7\/420 + 8*z**3\/3 - 5*z**2 + 4*z. Let t(g) be the first derivative of n(g). Factor t(b).\nAnswer: -2*b**3*(b - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/2, -2, -2\/11, 14, 0.0413?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, -26, 0.9, 1\/4?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a meter in centimeters?\nAnswer: 1550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 7 + 10*q - 21*q + 10*q + 6.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3896287602?\nAnswer: 2, 3, 649381267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of -3*n**5\/5 - n**4\/8 + 266*n**2 - n. What is s in d(s) = 0?\nAnswer: -1\/12, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = -160*k + 173*k. Sort 3, k, 5, -4.\nAnswer: -4, 3, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.9 + 3. Let h = -0.2 - 0.8. What is the second smallest value in y, h, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1469 and 0.0750429157.\nAnswer: 1469.0750429157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 85301837 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -1463*p**2 + 1469*p**2 - 4*p**4 + 6*p**4 + 21 in the form f*p**4 + u*p**3 + r*p + b + c*p**2 and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.7904 - -1.6904. Which is the nearest to r? (a) -112 (b) -4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 10*i - 2. Let q be c(1). Let o(j) = -j**3 + 9*j**2 - 7*j - 7. Let x be o(q). Suppose d - 10 = -x. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17754130.\nAnswer: 2, 5, 761, 2333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-23)\/(-2)*(2 + 0)*-1. Let m = 28 + i. What is the remainder when 13 is divided by m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 0 + y + 1 - 5*y**2 + 4*y**2. Calculate j(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 100\/22372 - (-782)\/(-36754).\nAnswer: -2\/119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 15 = 0, 3*t - t - 15 = -5*p. Solve 0*a = 5*a + z + 8, -z + 2 = t for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 AM and 12:12 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(3\/35))**(-31)*(v**(2\/139))**9 assuming v is positive.\nAnswer: v**(-12297\/4865)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 125732843 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -832*n**6 + 10381*n**5*t - 1796389*n**2*t - 2*n*t wrt n?\nAnswer: -99840*n**3 + 622860*n**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -216 (b) -2 (c) -6\/17 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + f + 3 = 0, 4*f = a - 0*f - 22. Find the third derivative of -2*k**3 + a*k**3 + 4*k**3 + 0*k**2 - k**2 wrt k.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) 0 (b) 2\/5 (c) 0.5 (d) -55 (e) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6722614 to the power of 1\/2, to the nearest integer?\nAnswer: 2593","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of -p**4\/12 - p**3\/6 + p**2\/2 - 21*p. Let l(w) = 2. Give -2*b(k) + 2*l(k).\nAnswer: 2*k**2 + 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.019, -3, 23949, -2?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 - 5*t**2 - 3. Let u(v) = -2*v**3 + 4*v**2 + 3. Give -4*r(a) - 5*u(a).\nAnswer: 6*a**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3 and 97521.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of 8*z**6\/15 + 2*z**5\/5 - 5*z**4\/4 - 4*z**3\/3 - z**2\/2 - 5*z. Suppose g(k) = 0. Calculate k.\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1005 + -1003. Let k(g) = -4*g. Let w be k(-1). Which is the nearest to r? (a) 0.4 (b) w (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h**2 - 7*h**2 + 7*h**2 + h**2 + h**2.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 226284503 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 7*s**3 - s**2 + 2*s - 1. Calculate x(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - -454251?\nAnswer: 454242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.088 and 0.05.\nAnswer: 0.0044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 - 21. Let o be 2\/((-4)\/(h - 267)). Suppose 0 = -3*k + 5*w + o, -5*k + 2*w = 123 - 359. Is k a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 99.5475 minutes?\nAnswer: 5972850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 25569055 to the power of 1\/2, to the nearest integer?\nAnswer: 5057","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (5 - -8) + -25 + -68 - (-5 + 1 - -1)\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -324.3 times -13\nAnswer: 4215.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*a**2 - 5*a**2 + 3 + 3 + 2 as d*a + g + b*a**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 885991.5 tonnes to milligrams.\nAnswer: 885991500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ohtt when four letters picked without replacement from {h: 3, v: 9, o: 1, t: 5}?\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -728674, -2915519, -6560262, -11662909, -18223466, -26241939?\nAnswer: -35718334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 - 5)*(-3)\/3. Solve -w*d + 10 - 16 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-4)*22\/(-3). Suppose -v*d + 10*d + 1 = 0. Let u(z) = 5*z**3 - z**2. What is u(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/73 in -5, 5, 2\/17, 158?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -5371*m + 77. Let v(z) = -5368*z + 52. What is -2*n(i) + 3*v(i)?\nAnswer: -5362*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 97 = 49 + 50. Which is bigger: x or -4\/1807?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + -4. Let f = 2.95 - 132.95. Let z = -133 - f. Which is the closest to -3? (a) z (b) n (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 869727097 to the nearest integer?\nAnswer: 955","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -5*j**4 - 25*j**3 + 235*j**2 - 195*j - 450 = 0?\nAnswer: -10, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + 18414?\nAnswer: 18415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 5 = -5. Suppose -x - 1 = -k - s, 8 = 3*x - 2*k. Suppose 10*g - 14 = 86. Solve 4*u + x = -g for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 0.2 (c) -8\/17 (d) -1\/5 (e) -4 (f) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 + 17*o**2 - 30*o - 3. Let j be d(15). What is the common denominator of (62*1)\/(j - 42) and 16\/35?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.3 - -2.7. Which is the biggest value? (a) -0.2 (b) -0.1 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 13*n**2 - n + 1 + 2*n**2 - 3 to the form o + s*n**2 + q*n and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13\/1*(-90)\/(-225)*15\/(-18).\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 30*s - 2420. Let h(b) = 6*b - 483. Give 11*h(q) - 2*x(q).\nAnswer: 6*q - 473","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2706.1787 rounded to the nearest one hundred?\nAnswer: -2700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -9*p - 1. Let a be k(-1). Let c = -6 + a. What is the second derivative of -7*w**3 - w**5 - c*w + 7*w**3 wrt w?\nAnswer: -20*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.279 take away 4119?\nAnswer: -4115.721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gq when two letters picked without replacement from ggqq?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -4 - -5 - (-7 + 4)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.42 (b) -2 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from {r: 6, a: 12}.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/7216 and 55\/12?\nAnswer: 21648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 12:51 PM?\nAnswer: 12:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-1 + (sqrt(72) - (sqrt(72) + 1) - sqrt(72) - (sqrt(2) - (sqrt(2) + 1 + sqrt(2) + -2))**2) - ((0 + sqrt(288) + -2 + sqrt(288))**2 + -1))*1.\nAnswer: -368*sqrt(2) + 4640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + 10cd?\nAnswer: 10cf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -44c + 1?\nAnswer: -44b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(144) + 2*sqrt(144) - (sqrt(36) - (sqrt(36) - (sqrt(144) + -1*sqrt(144))\/sqrt(4)) - sqrt(36)))\/(sqrt(132)\/(sqrt(11)*1)*2).\nAnswer: 7*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 662704187 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1457 + 1459. Let s(a) be the third derivative of -a**6\/120 + a**5\/30 + a**4\/8 + a**3\/2 + 2*a**2. Let l be s(3). Sort p, l, 1 in descending order.\nAnswer: l, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(2*-3)*2290. Suppose -4*i + q = -275. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 divided by -39\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*v**3 + 14*v**3 + 8*v**3 - 12*v - 29*v**3.\nAnswer: 2*v**3 - 12*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 649*r**2. Let m(l) = 2*l**2. Give g(m(k)).\nAnswer: 2596*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-6)*333\/(-6). Let q = -1 - r. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -80 - -93. Suppose 3*c = 5*j - 49, -2*j = -5*c + m - 44. Solve -2*v - s + j = 0, -5*v + 2*s + 19 = -10 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 2*c**2 - 18*c - 150. Determine r(16).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 10:08 PM?\nAnswer: 2:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 + 4*s**2 - 6*s + 1. Let q be (-6)\/(-5)*15\/6. Suppose 0 = -p - 2*x + q*x - 3, 5*x + 10 = 0. Calculate o(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2590 take away -1?\nAnswer: -2589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 19 + 6. Suppose 0 = -b*w + 10, 0*h - 3*w - 14 = -5*h. Calculate the least common multiple of (-3 - 96\/(-15)) + 15\/25 and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -246185 - 27?\nAnswer: -246212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 8:36 AM?\nAnswer: 4:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -d*x**4 - 15*d*x**2 - 20*d*x + x**5 + x wrt x?\nAnswer: -12*d*x**2 - 30*d + 20*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 3*i + 7 = -2*q, -3*q + 5*i = -35. Calculate the remainder when 26 is divided by q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 1527*d + 765*d + 767*d.\nAnswer: 5*d - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -530*q + 528*q = -6 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10453137.9 rounded to the nearest 10000?\nAnswer: -10450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(500)*-1 + -4 + (sqrt(500) + 0)**2*4.\nAnswer: -10*sqrt(5) + 1996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 AM and 10:52 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 + -5 - (2 - 0). Let j be (0 + 3)\/(24\/488). Let b = j - 65. Sort p, b, -24 in decreasing order.\nAnswer: p, b, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 3464 = -t - 27, -g = -4*t - 702. What are the prime factors of 18\/81 - g\/(-18)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48471407.\nAnswer: 191, 253777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 30251 at least -58?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 n when three letters picked without replacement from {n: 5, y: 1, q: 3, e: 1, l: 2, s: 1}?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - ((1 - (-3 + 3)) + -3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r**4\/3 - 46978*r**3\/3 - 93959*r**2\/3 - 15660*r = 0. Calculate r.\nAnswer: -1, 0, 46980","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 16, -0.5, -8, -13\/5, 3\/8 in decreasing order.\nAnswer: 16, 4, 3\/8, -0.5, -13\/5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 477259 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j + 2*c - 61, 0 = 5*j + c - 61 + 3. Suppose 0 = w + 2*w - 45. Let i = w - j. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -176848, -176828, -176796, -176752, -176696?\nAnswer: -176628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13321232332 - -32?\nAnswer: -13321232300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1432421564 less than 1.9?\nAnswer: -1432421562.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -71 != 92056?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(243) - (-1 + sqrt(243))) + sqrt(243))*-4)**2 + (1 + sqrt(3) + -4 - sqrt(3) - (4 + (sqrt(3)*-2)**2 + sqrt(3))).\nAnswer: 2591*sqrt(3) + 35117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -11, 4\/5, 2 in increasing order.\nAnswer: -11, -1\/4, 4\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f + f - 8*f + 20. Let v(j) = -2*j + 7. Let k(t) = 3*l(t) - 8*v(t). What are the prime factors of k(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(51) - (sqrt(2499) + 2*sqrt(2499)))\/sqrt(3) + 3*-2*sqrt(34)\/sqrt(2))**2*3*-4.\nAnswer: -137904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -25 equal to -25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -460 + 457. Put a, 34, -5 in descending order.\nAnswer: 34, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-66)\/3*1\/(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 7*q - 60. Let w be c(11). Suppose -2*r + 950 = 3*r. Let p = r - w. What is p rounded to the nearest ten?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3420 + -68.3740107\nAnswer: 3351.6259893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 56*p - 82 - 40*p - 61*p. Let m(t) = 90*t + 166. Let k(z) = -4*m(z) - 9*q(z). What is the derivative of k(r) wrt r?\nAnswer: 45","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80537852.\nAnswer: 2, 20134463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -38\/111193 and -44\/753.\nAnswer: 333579","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3*y + 1)*(3100422 + 7769*y - 3100422).\nAnswer: -23307*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k - 2. Let u(q) = 203*q**3 - 172*q - 6. Let o(l) = 6*n(l) - 2*u(l). What is the second derivative of o(g) wrt g?\nAnswer: -2436*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -5*z - 36115, 30*z - 28*z = 4*f + 28874. What is f rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13326543128 + 23960?\nAnswer: 13326567088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.406554516 rounded to 2 decimal places?\nAnswer: -5.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 542902 is divided by 33931.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 838438 is divided by 133.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8*((-4)\/12)\/((-2)\/219)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 11*n**2 + 2*n. Suppose 40 = 116*t - 121*t. Let s(l) = 34*l**2 + 7*l. Let q(h) = t*b(h) + 3*s(h). What is the second derivative of q(d) wrt d?\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) -6 (b) 3\/4 (c) -1\/11 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 2. Suppose -s = -i - 14, -4*s + h*i + 19 = -37. What is the least common multiple of 4 and s?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + 2. Let x be ((-2)\/18)\/(2\/(-6)). Let l = 11.7 + -12. Which is the nearest to x? (a) l (b) h (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - -2. Suppose 4 = 6*m - z*m. Is (74 - 1) + m + -3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 651726 and 1788?\nAnswer: 894","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/15 + 22\/10. Suppose -c + 0 = -v. Suppose -y - c*y - 6 = 0. Let f(o) = -o**3 + 2*o - 1. What is f(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/(-18)*2 - 40\/(-360)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**3 - i**3 - i**3 + 0 + 0 + i**3 + (0*i**2 + 2*i**2 - 4*i**2)*(6*i - 3*i - 2*i) + 921*i**3 - 2666*i**3 + 1313*i**3.\nAnswer: -436*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.22515 to 2 dps.\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*c + c - 1 + 38*c + c.\nAnswer: 36*c - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -6, -3, 6, 21?\n\"Answer: 3*b**2 - 6*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - (-9 - -10 - 24) - 18528\/1680.\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1105823 to the power of 1\/2, to the nearest integer?\nAnswer: 1052","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u. Let g(y) = -y**2 + y - 1. Let d(s) = 5*s**2 + s - 1. Let r(c) = 2*d(c) - 2*g(c). Determine p(r(t)).\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -54*a + 8*a + 997 + 61 for a.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -50393726, -100787451, -151181176, -201574901?\n\"Answer: -50393725*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59 is divided by 27?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -32*s**4 - 26076*s**3 - 5323566*s**2 - 4643056*s - 993894 = 0. Calculate s.\nAnswer: -407, -1\/2, -3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**3 + 37422*r**2 + 116550675*r - 934801944.\nAnswer: 3*(r - 8)*(r + 6241)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -5097*q**3 - 8*q**2 - 24*q + 11. Let i(w) = 15291*w**3 + 22*w**2 + 66*w - 30. Calculate -4*i(v) - 11*x(v).\nAnswer: -5097*v**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*5926.6.\nAnswer: 35559.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 3*c + 104, 2*b - 57*c + 62*c = 164. Find the third derivative of 18*u**5 + 29*u**2 + 45*u**5 - 131*u**2 + b*u**5 wrt u.\nAnswer: 9300*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -108, -186813 in decreasing order.\nAnswer: -1, -108, -186813","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t*t\/(t*(t*t**(-22))\/t*t)*t)*t**(-2\/25))\/((((t\/((t\/t**(2\/5))\/t*t*t)*t)\/t)\/t)\/t*t)**(-4\/5) assuming t is positive.\nAnswer: t**(-609\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-20) - 74472\/80. Let g = 92171\/99 + x. Calculate the common denominator of -43\/55 and g.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 + 13. Solve c + 2*n - 8 = o, -2*c - 2*n = -6*n + 8 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/53061886 and -38\/413.\nAnswer: 371433202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -316328 divided by -10\nAnswer: 158164\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.0396 - 5.02. Let w = 0.2804 + p. Which is the nearest to -1? (a) 1\/7 (b) 2 (c) w (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/40 and 43\/48.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 524770*c**3 - 8730*c - 4365. Let y(i) = 481*i**3 - 8*i - 4. Determine 4*j(n) - 4365*y(n).\nAnswer: -485*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16530 and 8208?\nAnswer: 1190160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 + 2*z**2 + 4*z - 4. Let n be x(3). Let w(q) = -3 + 3 - 32*q + 1. Is 11 a factor of w(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 156 and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + -246?\nAnswer: -24a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3721.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21288702.\nAnswer: 2, 3, 19, 186743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j*j**13)\/j)\/j**(-9\/7))**(25\/4)*(j**(-2))**(-1\/36)\/((j\/((j*j*j**(2\/5)*j)\/j))\/j)**26 assuming j is positive.\nAnswer: j**(199069\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + -66 + (-8 - 15 - -62)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 939 + -938.9. What is the second biggest value in 2\/15, 2\/5, 51, y?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 589469?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3145 + 1858?\nAnswer: 5114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 6:09 PM?\nAnswer: 1:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + -48?\nAnswer: -4d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 4, -12, 5, 3 in increasing order.\nAnswer: -12, -6, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 + 26. What is the first derivative of 18*p + x*p**4 - 35*p**4 - 17 + 14*p**4 + 8*p**4 wrt p?\nAnswer: -4*p**3 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 0.196, -1\/2, 0.5579, -4 in increasing order.\nAnswer: -4, -1\/2, 0.196, 0.2, 0.5579","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -240391\/1719720 + 1\/12645. Calculate the common denominator of 17\/28 and k.\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 319*f + 114*f - 586*f.\nAnswer: -153*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k**3\/9 + 44*k**2 + 5808*k + 255552 = 0. What is k?\nAnswer: -132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 5 - 13 = 4*x, -v + 2*x = 0. Calculate the least common multiple of v and 28.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -266, -453, -556, -575, -510?\nAnswer: -361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2391 to the power of 1\/2, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 - 4*j**2 + 4*j - 1. Let m = -4 - 1. What is the least common multiple of 2 and r(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(1\/2)*p)\/(p\/p**(-2\/9)*p))\/(p**(1\/5)*p*p**(-5)*p) assuming p is positive.\nAnswer: p**(187\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 37084977 > 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pyyyyvpyufuu. Give prob of picking 1 y and 1 f.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 - (-4)\/8 - 294\/(-4). Let l = c - 62. Suppose 4*z - 112 = -4. Solve 3*q - 2*k + 7*k = -z, k + l = -2*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4*(-7)\/(-210))\/(3\/(-18))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*r + 51*r = -8. Solve r*u + 10 = -n - 10, -5*u - n - 24 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 4*w + 11, 17 = -3*r + 2*w - 0. Let g = 7 + -12. Is r < g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17aa (base 11) in base 12?\nAnswer: -13b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -41 + 62. List the prime factors of d.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 - j - 2. Let t(m) = -110*m**2 + 70. Let g(l) = 2*a(l) - t(l). Find the first derivative of g(q) wrt q.\nAnswer: 216*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3, -3\/4, 0.2, 0, 4482, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 113230 and 804?\nAnswer: 679380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of 87*r**7\/35 - 473*r**3\/6 + 17*r**2 + 26*r. Find the first derivative of g(t) wrt t.\nAnswer: 2088*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*p - 84 + 84 - 25*p.\nAnswer: -30*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of 1\/6*y**3 + 0 + 11*y - 3*y**2. Determine s(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.07 in 2, 0.4, 4744?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 0. Suppose f = d*f - 4. Let q(k) = 6*k**3. Let o(h) = 5*h**3 + 1. Let v(t) = f*q(t) - 3*o(t). Differentiate v(p) with respect to p.\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(35)\/(sqrt(7)*-4*6))**2 - (sqrt(20)\/(6*(sqrt(28)\/sqrt(7) + sqrt(4))) + 0).\nAnswer: -sqrt(5)\/12 - 5\/96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1342818557 is divided by 263?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*g**2 - g + g**3 + 0*g - 3*g**2 - 4*g**3.\nAnswer: -3*g**3 - 10*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 63267, 127306, 192121, 257712?\n\"Answer: 388*p**2 + 62875*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1080353 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + -1. Let m = 0.113 + -0.213. Which is the closest to m? (a) -4 (b) q (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 1)*(-l - 8*l - 4*l - 2*l).\nAnswer: -45*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p**5 + 88900*p**4 + 8*p**3 - 177800*p**2 - 4*p + 88900 = 0 for p.\nAnswer: -1, 1, 22225","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((6\/(-1))\/(-2))\/(23\/(-2277)*33)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 at least as big as 71\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of -2*v**3\/21 - 4*v**2 - 56*v - 512. Solve d(s) = 0 for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, l: 3, s: 1, v: 1, t: 1}. What is prob of sequence llv?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-60)\/(-195))\/(12\/26)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*s - 2 - 3*s**3 - 7*s - 6*s + 3 + s**2 + 4*s in the form r*s**3 + l*s + p + x*s**2 and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/102456 and -21\/3356.\nAnswer: 85960584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-24)\/30 - ((-2028)\/(-5))\/(-12). Calculate the greatest common divisor of f and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 + 17*d**2 - 15*d. Let o be p(16). Let n = 22 + -17. Let z = 770 - 769. Solve -n*w = -z + o for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/3 (b) -0.4 (c) 2 (d) 0.4 (e) -2\/7 (f) 1.2 (g) 32\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 2735869\/135?\nAnswer: 2735869\/135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 + 2*d**2 - 10*d - 8. Determine g(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(700) + 3)*-2)**2 - (sqrt(28) - (1*sqrt(4032) + sqrt(4032)))**2.\nAnswer: -11976 + 240*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 2 + 4)*(-26*g**2 + 11*g - 193*g**2 - 8*g).\nAnswer: -876*g**2 + 12*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - 3*x**2)*(-434*x + 580*x - 370*x) to z*x**2 + n + d*x + y*x**3 and give y.\nAnswer: 672","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 - 30*z**2 - 49*z - 30. Let o be d(-28). Let y = o - -244. What is the remainder when ((-1218)\/14)\/(-1*1) is divided by y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1544731, -1544741, -1544751?\nAnswer: -1544761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) 0.3 (b) -0.4 (c) -15 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46660 = -33*p - 36830. Let a = -126493\/50 - p. What is the common denominator of -169\/30 and a?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/51026 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*m**2 + 4*m**6 + 27*m**6 + 139*m - 139*m wrt m.\nAnswer: 3720*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-4)\/(-2)*(-115808)\/(-64)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5\/4 - (-6)\/8. Let b(y) = 0 + 8 - 8 + 3*y**i. Let q(a) = 3*a. Calculate b(q(x)).\nAnswer: 27*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 - 4*l + 24. Let k be n(-7). Let c(o) = o**3 - 3*o**2 - o + 3. Let f be c(3). Solve f = k*d + 18 - 3 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -112043153 divided by 5.\nAnswer: -112043153\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -18*o**2 + 14*o - 13. Let r(u) = -27*u**2 + 21*u - 20. Let j(z) = 7*i(z) - 5*r(z). List the prime factors of j(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1541, -6375, -11209, -16043?\n\"Answer: -4834*i + 3293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 4 (b) 1.4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -72420*g**3 - g**2 + 17915*g?\nAnswer: -434520","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/3 (b) -0.3 (c) -5 (d) -0.13761 (e) 1\/4 (f) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -45.89257 + 0.03257. Let s = -4.44 + m. What is s rounded to the nearest integer?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 241650?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -15356, -61420, -138204, -245714, -383956?\n\"Answer: -h**3 - 15354*h**2 + 5*h - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -673.46 - -0.2684.\nAnswer: -673.1916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 - 1\/(30\/9 - 3). Let o be 0 - 1 - r\/4. Solve o = -m + 6*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -948.\nAnswer: -1\/237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of n**5\/20 - n**4\/3 + n**3\/3 - n**2 - 8*n. Give t(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 12*t = 0. Let b(z) be the third derivative of -11*z**2 + t + 0*z**3 - 1\/20*z**5 + 0*z - 1\/4*z**4 + 1\/40*z**6. Find o, given that b(o) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 154548365 to the nearest integer?\nAnswer: 12432","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 14, 21, 38, 71, 126, 209?\n\"Answer: y**3 - y**2 + 3*y + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -109, -234, -359?\n\"Answer: -125*y + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.196296034 to one dp.\nAnswer: -12.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6033 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.9 - -37826413818?\nAnswer: 37826413814.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/7*465\/(-465))\/(16\/42).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 take away 4200?\nAnswer: -4199.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -4*g + 24, v - 2*g - 2*g + 21 = 0. Let r = 45 + -26. Suppose 0 = 2*l - 0*l - 5*n - 15, -4*l - n = -r. Put -5, l, v in decreasing order.\nAnswer: l, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3587, 3579, 3559, 3521, 3459, 3367, 3239?\n\"Answer: -j**3 - j + 3589","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 15*g + 4. Give h(-4).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 245*o**3 - 775*o**3 + 251*o**3 + 276*o**3.\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 258849140 a multiple of 439?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -35 - -25. Let x be (-6)\/(-10) - 44\/q. Suppose 8 = x*d - 4*d. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 19.61, -4\/3, 1\/10, 1 in ascending order.\nAnswer: -4\/3, 1\/10, 1, 19.61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 169 divide 139214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2870?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3565638m to micrometers.\nAnswer: 356563.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 2 + 17 = 0, 5*i - 2*w = -31 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -269, -2162, -7305, -17324, -33845, -58494, -92897, -138680?\n\"Answer: -271*v**3 + v**2 + v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 3*j = -0*b + 107, 4*b = -2*j + 358. Let d = b - 90. Solve 0 = d*y + 3*w + 16, 2*y + 0*w + 8 = -w for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 - 17*s**2 + 17*s + 43. List the prime factors of q(-18).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -5*h**2 + 14*h + 1. Let y(q) = -14*q**2 + 42*q + 2. What is -8*u(l) + 3*y(l)?\nAnswer: -2*l**2 + 14*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 21128 (base 14) in base 9?\nAnswer: 131425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -92 - 4275*o + 12819*o - 4272*o - 4281*o. Give p(-9).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (108\/(-21))\/((-32)\/3472). Suppose 0 = 556*w - o*w + 30. Solve -9 = -3*l, 0 = 9*u - 7*u + 5*l - w for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/1140 and 107\/162.\nAnswer: 30780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2909 + 1427. Let h = v + 2282. Round h to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/816 and 19\/66078?\nAnswer: 8986608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1632663?\nAnswer: 3, 17, 3557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 885487.6ml to litres.\nAnswer: 885.4876","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -3*h + 2372, -3*h - u - 321 = -2705. Suppose h + 178 = 4*f. What is the hundreds digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.115581 - -0.12101. What is z rounded to four dps?\nAnswer: 0.0054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*c + 1806 = 32*c + 21*c - 63*c for c.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of -j**5\/100 - 3*j**4\/20 - 4*j**3\/5 - 8*j**2\/5 + j + 8. Solve l(f) = 0 for f.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.5538693 * -1\nAnswer: 2.5538693","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-7*(-7)\/4191068). What is t rounded to the nearest 1000?\nAnswer: -171000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/8 and -62\/202611.\nAnswer: 1620888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.29 times 0.174?\nAnswer: -0.05046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(1\/3))**(-27))**21*(r**1)**(-1\/3)*(r*r**(-3\/2)\/r)\/r**(3\/8) assuming r is positive.\nAnswer: r**(-4589\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 87 - 84. What is the smallest common multiple of 27 and l?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 26\/2 - (-55 + 58). Solve 3*i - 3*y + 8*y + 2 = 0, 3*y = -4*i - f for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 + 3 + a)*((-11 - 5*a + 11)*(-3*a + 3*a - 3*a) + a**2 - a**2 - a**2).\nAnswer: 14*a**3 - 42*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 less than -2849?\nAnswer: -2848.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 48 - 11. List the prime factors of b.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 12, -8*l + 3*l + 115 = t. Does 15 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 PM and 5:28 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 128 + -126. Solve -2*l - 5*c + 15 = -l, -6 = 5*l - t*c for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (1 + -4)) + -1 + -2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3681, -2, 2, -5, 8, 4 in descending order.\nAnswer: 8, 4, 2, -2, -5, -3681","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + -2. Let m = 4179 + -87775\/21. Let w = m - -3\/7. Which is the closest to t? (a) -2\/13 (b) 3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*r + 37*r = 24. Let -1\/2*n**3 - 1\/2*n**r + 0 + 0*n = 0. What is n?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 - 9*v - 10. Let b be r(13). Let h be 6\/(-4 - b\/(-10)). Let s = -14 + h. Solve 0 = -3*o - 2*j + s, -2*o + 33 = 2*o + 5*j for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q. Let z(p) = p**2 - p. Let m(c) = 6*u(c) - z(c). Let n be m(-4). Solve -n*g = -2 + 6 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16930 is divided by 8460?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 - 17*y + 36. Let u be d(17). What is the greatest common divisor of 162 and u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -77903, -310622, -698471, -1241450, -1939559, -2792798?\nAnswer: -3801167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 1791.3001 to the nearest one hundred.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 3 = 2*z. Let k = 5530 + -5530. Solve k = z*b + 3*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*(-1 + (-22)\/2). Let l be (p\/6)\/(1 - -1). Let y(z) = z**2 + 5*z - 1. Let g be y(-6). What is the greatest common factor of l and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 15*m**5\/2 - 339*m**4\/2 - 1164*m**3 + 822*m**2 + 504*m = 0.\nAnswer: -6, -2\/5, 0, 1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(11) - -2*-2*sqrt(11))**2.\nAnswer: -297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + -110000?\nAnswer: -110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 11 = -5*f, 68*m + 3*f = 73*m - 14 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 29984 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: What is the remainder when 3222 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 2, 862, 107 in increasing order.\nAnswer: 2, 8, 107, 862","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - 108\/9 - (2 - (24 + 4))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-112)*1\/((-1818)\/(-126) - 13).\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 91*f - 28*f**2 - 91*f - 2*f**2 + 0*f**2 + f**2 + (-2*f**2 - 2*f**2 + 2*f**2)*(3 - 4 - 1) - f**2 - 4*f**2 + 3*f**2 - 4*f + 4*f**2 + 4*f.\nAnswer: -23*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.4 + 5.4. Which is the nearest to -0.4? (a) 4\/9 (b) -1 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 0 + 3 + 2*p**2 + 7.\nAnswer: 2*p**2 + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8446?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -8*i - 1. Let q be j(-4). Suppose -3*y = 2*h - 19, -8 + q = 3*y + 4*h. Which is the second smallest value? (a) -0.2 (b) 3 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 m when two letters picked without replacement from {j: 2, m: 2, l: 1, r: 2, p: 4, s: 1}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 80 + -34. Let j = c - 91. Let v be ((-378)\/j)\/(3\/10). Calculate the highest common factor of 7 and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -955, -1003, -1051, -1081, -1075, -1015, -883?\nAnswer: -661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.57 + -1718292.0864.\nAnswer: -1718292.6564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z. Let d be (-15)\/54 + (-16)\/(-36). Let m(r) be the second derivative of -d*r**3 + 0*r**2 + 0 - 3*r. What is f(m(o))?\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence taw when three letters picked without replacement from {k: 1, t: 5, a: 3, g: 3, f: 1, w: 1}?\nAnswer: 5\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 4*j - 16 = 0, 5*j + 7 = 4*g - 36. Suppose 0 = -0*m + 4*m. Suppose m = t - 5*t + 88. What is the least common multiple of g and t?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/14*-1)\/(20032\/4907840).\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 + -8. Suppose 0 = -6*y + 4*y. Let l = x + y. Solve -l*n + u = 5, 0*n - 8 = 4*n - 4*u for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 3*o**3 - 43*o**2 - 56*o + 2717. Give j(-7).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -5*b**2 + 5*b + 4. Let g(z) = 4*z**2 - 4*z - 4. Suppose 2*r + 8 = 20. Let o(m) = r*g(m) + 5*q(m). Determine o(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.09497748 - 26.90501852. Let v = -4.5 - -31.5. Let u = t + v. Round u to six dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.0828 + 19.0772. Let q = -19 + z. Round q to one decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -6*(-10)\/16 + 4\/16. What is the highest common divisor of 3 and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -2*y - 14, 4*b = y + b - 11. Let p be y\/(-2*22\/24). Suppose -14*u + 6 = -11*u. Which is bigger: p or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2a (base 16) to base 14\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -16395*i**4 - 2*i**3 + 4*i**2 - 2*i - 5266242 wrt i.\nAnswer: -65580*i**3 - 6*i**2 + 8*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10476853 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 6 = -3*v, -69*k + 62*k = -4*v - 21 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*v = 6*v + 2366. What are the prime factors of v?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of i**5\/30 - i**4\/12 + i**3\/6 - 2*i**2. Suppose 0 = -4*x + 2*x. Let p be d(x). Which is smaller: -1\/6 or p?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 38219?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 5*n - 60. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*z + 10*z. Let n(f) be the first derivative of f**2 - f + 5. Give n(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6827129*u**2 + 15163*u - 26.\nAnswer: 13654258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from rrrbbbrbrrrrrrrbbr?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/7 - 228\/(-14). Suppose -4*d = 3*t - o, -5*d + 0*d + 13 = 2*t. Let k = 33 + -43. Sort 3\/7, d, k.\nAnswer: k, 3\/7, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 take away 11451122858?\nAnswer: -11451122858.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 599067517 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.57 - 144.57. Let r = 143.000046 + w. Round r to six dps.\nAnswer: 0.000046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 + 16*w - 12. What is the units digit of p(12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66329 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, f: 1, z: 2, v: 1}. What is prob of sequence vz?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12336 + -4259. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2520881 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 181176 is divided by 239?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*((-28)\/(-2))\/(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 165 = -4*u - 61, 130 = 5*u - 3*i. Suppose w = 62 + u. What is the greatest common divisor of 8 and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -413*i**2 - 14*i + 7. Let y(d) = -146*d**2 - 4*d + 2. Let k(x) = -2*f(x) + 7*y(x). Let p(m) = -3 - 2*m**2 + 3. Give k(p(n)).\nAnswer: -784*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 + 9*j**2 - 7*j + 5. What is the remainder when p(8) is divided by 2*-4*28\/(-32)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 1 - 13*z**2 + 2*z**2 + 26*z**2 - 17*z + 16. Let y(j) = 5*j**2 - 6*j + 6. Determine 6*c(p) - 17*y(p).\nAnswer: 5*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17.16 + -13.16. Let i = -8.03 + 8. What is the closest to -1 in i, 2, f?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1058 and 506.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -4*h - 224 + 1217, 0 = 4*h - 8. What is the remainder when l is divided by 51?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18123?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2292096 divided by -2256\nAnswer: 1016","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -338*a + 343. Calculate r(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(2) + (sqrt(250)\/sqrt(5))**2 + 4 + (sqrt(8) + -2 - -4*sqrt(6)\/sqrt(3))).\nAnswer: 21*sqrt(2) + 156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 + 5*h**2 + 2*h - 5. Suppose -x + b + 9 = x, -3*x + 20 = 5*b. Calculate the remainder when x is divided by k(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 974427.139 to the nearest 10000.\nAnswer: 970000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133) - 2*sqrt(133)*-2) + sqrt(133) + sqrt(133) - -2*4*sqrt(133))\/(((sqrt(504)*1)\/sqrt(12))\/(sqrt(6) + sqrt(66)\/(-2*sqrt(11)))).\nAnswer: 15*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -0.1, 3\/5, 1, 0.2, 0.043 in decreasing order.\nAnswer: 1, 3\/5, 0.2, 0.1, 0.043, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 s, and 1 x when three letters picked without replacement from {s: 1, z: 2, h: 1, m: 2, p: 10, x: 3}?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of 2*g**2 + 23*g - 217. Suppose -l = m - 3*m - 13, -5*m + 2*l - 31 = 0. What is the remainder when 20 is divided by x(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 369 - 248. Find the second derivative of -127*w + w**2 + g*w + 0*w**2 wrt w.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14598 and 79478.\nAnswer: 715302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 - -5. Suppose 2*a + 3*k = f, 0*a + 2*a - 25 = -k. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -482*c + 480*c - 2*a = 16, 6*a + 12 = 3*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 3. Suppose -4*g + 6 = -i, -i = -4*g + f*i. Suppose 0 = g*p + 26 - 100. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 27\/146 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43538195?\nAnswer: 5, 23, 378593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 275312.\nAnswer: 2, 17207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 AM and 6:42 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6825301 and 305939.\nAnswer: 2201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -269, -564, -1063, -1772, -2697?\n\"Answer: -r**3 - 96*r**2 - 172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -49*f**4 - 97*f**4 - 25545 - 3*f**4 - 2*f**2 - 25537 - f**3 + 51088 - f in the form g*f**3 + j + o*f**2 + b*f**4 + i*f and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*u = -14 - 5 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (120 - 70 + 103 + 93)*(-b + 0*b - b) - 2*b + b + 4*b.\nAnswer: -489*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of -m**9\/30240 + m**7\/1400 - m**6\/450 + m**5\/400 + m**3 - 18*m - 74. Let f(k) be the third derivative of r(k). Factor f(q).\nAnswer: -q*(q - 1)**3*(q + 3)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 5*p**2 + 10*p + 8. Let o be (6*8\/18)\/((-13)\/39). Let d be c(o). Calculate the highest common factor of 8 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hqhqbhhbbqbobb. Give prob of sequence bbo.\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 8*p**2. Let r be 8\/12 - 82\/6. Let i(s) = -s**3 - 11*s**2 + 25*s - 14. Let z be i(r). What is b(z)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54402701?\nAnswer: 6791, 8011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 67 = -5*l, -5*l - 53 = -f - f. Calculate the remainder when 450 is divided by f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4267 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2794279 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -639, -1291, -1947, -2607, -3271?\nAnswer: -3939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-10)*78\/78.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1 - -5.9. Let l = -0.169 - 2.831. Which is smaller: l or p?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/11? (a) -1\/4 (b) 7\/4 (c) -3 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 38+12964064.8\nAnswer: 12964102.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/12 (b) -2 (c) 2\/3 (d) 9\/135448\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b - 20. Let q be f(24). Solve 15 = 5*l - j, -5*l + 8 = q*j - 7 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((35\/10)\/7*-2)\/1)\/(65\/195)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*p + 4*p + 2*p**2)*(4*p - 6*p + 3*p) - 4*p**3 + 5*p**3 + p**3)*(-1 + 0 + 0 + (2 - 1 - 3)*(-4 + 2 + 3) + 6 - 3 - 1 - 6 + 10 + 3).\nAnswer: 24*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 13441 (base 5) to base 7\nAnswer: 3161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -3*x**2 - 44*x - 9. Give n(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 5*x - 50, -x - 6*r + 33 = -r. Let k = 2404 - 9567\/4. What is the common denominator of (-334)\/48 - 1\/x and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -6. Let l = 5 - y. Solve l*m - 25 = 3*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*p**3\/3 + 146*p**2\/3 + 912*p + 864 = 0. What is p?\nAnswer: -36, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 AM and 4:05 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2745, -5507, -8269, -11031, -13793, -16555?\n\"Answer: -2762*k + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2*u**2 - 8*u - 1. Let z(n) = -2*n**2 - 9*n. Give -3*s(k) + 2*z(k).\nAnswer: 2*k**2 + 6*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 - 9*u**2 + 12*u - 14. Let g be w(6). Let s = -45 - g. Solve 0 = -5*k - s*v - 5, 4*k + 4*v + 7 = -v for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j**4\/5 - 2736*j**3\/5 + 938442*j**2\/5 - 1865956*j\/5 = 0. Calculate j.\nAnswer: 0, 2, 683","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.044 and -0.1.\nAnswer: -0.0044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + 4b8?\nAnswer: 4bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (356\/534)\/(((-2)\/(-28))\/((-3)\/8))\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8027*s**4 + 9*s + 451694.\nAnswer: 32108*s**3 + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -5, 2, 5, 18.\nAnswer: -10, -5, 2, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tu when two letters picked without replacement from {u: 1, t: 12}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -831651, -1663298, -2494945?\nAnswer: -3326592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 36*d**3 - d. Let q be s(1). Let j = q - 20. Find the second derivative of -95*k**2 + 95*k**2 + 2*k**4 + j*k**4 + 9*k wrt k.\nAnswer: 204*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*j + j + 41 - 176 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -755, -752, -727, -668, -563, -400, -167, 148?\nAnswer: 557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 6*j + 90. Give g(-16).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11353 (base 7) to base 6.\nAnswer: -21321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 22 + 18)*(3*f - 3*f - 2*f).\nAnswer: -68*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 10:14 PM?\nAnswer: 8:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7.66 + 7.16. What is the second biggest value in 2\/7, 25, 0.5, g?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hiyhy. What is prob of picking 1 i, 1 y, and 1 h?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24.09 + -21.1. Let k = 2.01 + -2. Let y = d + k. Which is the nearest to 2\/9? (a) 2\/7 (b) y (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 66685565?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*k + 17*k + 33021000 = 0. What is k rounded to the nearest 100000?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 473 a factor of 204118420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/(-24) - (-9)\/4. Suppose -a*h + 4 = -h. Solve 4*l - 2*o - 20 = -3*o, 4*l = 5*o - h for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 186482?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -41 - -60. Suppose -2*r = -5 - 1. Suppose 0 = -r*k - 20 + 419. Calculate the greatest common divisor of k and i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 5*j - 20, 0 = 2*s + 2*j - 100 + 110. Put 1, -4, -3, s in decreasing order.\nAnswer: 1, -3, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 1 - r**2)*(-3 + 3 + 2) - r + r - 2*r**2)*(-1 + 3 - 1).\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34, 5, 4, 93, 1 in increasing order.\nAnswer: -34, 1, 4, 5, 93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 490128 or 0.152?\nAnswer: 0.152","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1127)\/(-437) + 0 + -1. Let m = -131\/95 + w. Which is bigger: 4 or m?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6479 and 6041563?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 285 - 687 = 45*d - 852 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12463 (base 9) to base 10.\nAnswer: 8400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -17075 divided by -29?\nAnswer: 17075\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(9*5\/30). Solve -4*o = 4*h - 4, -i*o - 35 = o - 5*h for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -5, 2935\/6, -3\/8, -4.4, -8\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 522b (base 15) to base 11\nAnswer: 12058","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 41283 and 30915.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -18*k**2 - 7*k. Let m(p) = -10*p**2 - 4*p. Let c(t) = -6*t**2 + t + 1. Let b be c(-1). Let y(z) = b*h(z) + 11*m(z). Factor y(s).\nAnswer: -2*s*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79*g - 258*g + 206*g.\nAnswer: 27*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 347, 396, 887, 1814, 3171?\nAnswer: 4952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, -1425.\nAnswer: -1425, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (96\/128*(-1)\/3)\/(3\/8).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/19, -0.3, 2\/39, -170?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of x**6\/72 - 2*x**3\/3 - 8*x. Let m(h) be the second derivative of t(h). Let j(o) = 2*o. Calculate j(m(z)).\nAnswer: 10*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/4 (b) -1 (c) -1.22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 258 = 49*d - 47*d. Is d a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 226, 471, 718, 967, 1218?\n\"Answer: a**2 + 242*a - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13584 - -40753\/3. Let y = -59.23 - 0.77. Which is greater: t or y?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -289, -0.98, 2\/5, -12, -0.4?\nAnswer: -0.98","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 - s. Let v(d) = d**4 - d**3 - 4*d**2 - 2*d. Let f be 2 - (-6)\/3 - 7. Let r(l) = f*p(l) + v(l). Suppose r(g) = 0. Calculate g.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, 38, 521, 5, 0, 59 in ascending order.\nAnswer: -4, 0, 3, 5, 38, 59, 521","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, c: 1, t: 2, o: 1, q: 2, x: 1}. What is prob of sequence xtot?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -1.5. Let p = w - -4.06. Let h = 3.26 - p. Round h to 0 decimal places.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15771634 by -25.\nAnswer: -15771634\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 324913976?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 150852*c - 150848*c - 78 = -2*q, -2*q - 8*c = q - 18*c - 53 for q.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12\/(-6)*(0 + 12\/(-2)). Let x(q) = -7*q + 84. Let z be x(j). Solve 6 = 6*m - z for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-54)\/5*(-11)\/(165\/500). Suppose -11*d - 107 + l = 0. List the prime factors of d.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 152*k**2 - 26*k + 24. Let z(x) = 150*x**2 - 23*x + 20. Let r(s) = 5*q(s) - 6*z(s). Suppose r(o) = 0. What is o?\nAnswer: 0, 2\/35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3080)\/(-44)*(-3)\/(75\/10)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3338?\nAnswer: 2, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.9 (b) -2 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44789 + 12*q - 22384 - 22405.\nAnswer: 12*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 - 2*k**2 - k. Let u = -29 - -31. Calculate x(u).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of -q**4 - 28*q**3\/3 - 22*q**2 - 20*q - 565. Suppose r(j) = 0. Calculate j.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 2 (c) -9 (d) 10\/7 (e) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9584 - 9584.08293. What is a rounded to two dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26543.\nAnswer: 11, 19, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 59544?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i + 0*i + i + (2 + 2 - 5)*(2*i - 2*i - 3*i) in the form p + f*i and give f.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10904*f**5 - 2*f**3 - 30*f**2 + 3*f - 6012?\nAnswer: 218080*f**3 - 12*f - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-3\/4)\/(k\/k**(-7)))**(3\/2) assuming k is positive.\nAnswer: k**(-105\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -45631454591 - 64.\nAnswer: -45631454655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -197372, -197445, -197518?\nAnswer: -197591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1508*c - 254116 = -1466*c + 458*c for c.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 156*q - 1106 - 343 - 103*q + 351*q wrt q.\nAnswer: 404","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -740, 3, -328, -1, 0, 1, 2 in descending order.\nAnswer: 3, 2, 1, 0, -1, -328, -740","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1274444576 - -4719268233843\/3703. Let q = u - 18\/529. Find the common denominator of -123\/10 and q.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 + 7*y + 8. Let n be d(-6). Let v = -115 + 116. Let q(i) = v + n + 14*i + 0. What is q(-2)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 3 = -5*a - 7, 2*a = -4*g. Let s = -0.91 + 0.01. Let c = s - -0.5. What is the fourth biggest value in 5, a, c, 3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -0*m + 2*m - 3202, 2*q - 7957 = -5*m. Suppose -5*a - 1557 = m. Round a to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 59877 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -48*r**5 + 4824*r**4 - 20979*r**3 + 23412*r**2 - 8073*r + 864 = 0.\nAnswer: 1\/4, 1, 3, 96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/3*(5\/(770\/(-637)) - -4)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -1 + (98 + -97 - (-1 - 1)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - -99b9?\nAnswer: 99b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 5 - 2 = -9*v, 1534*v - 5*g + 1 = 1529*v - 4 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3949.999993775 + 3950. What is t rounded to seven dps?\nAnswer: 0.0000062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12 - 0)\/(((-30)\/261)\/5). Suppose -6*c + 15*c = w. Is 9 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(((-5)\/895)\/1). Let s(v) = 30*v - 1317. Let g be s(26). Is b > g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 4, 0, 68, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -101101100001001010111 (base 2) in base 10?\nAnswer: -1491543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 59599 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 144585 is divided by 1291?\nAnswer: 1284","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001303093 rounded to four dps?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.09 - 0.91. Let p = 0.6 - 0.9. What is the closest to 0.03 in p, l, 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -22481*s - 67484. Give a(-3).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, 33, 3, 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 + -9 - -20) + 2 + -12?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -166 + 46.8. Let h = w - -36.2. Which is greater: 1\/6 or h?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 0*q = -15. Suppose -4*f + 11 = f + d, 0 = -3*f + 2*d + 17. What is the derivative of -f*z**4 - q - z**4 + 3*z**4 + 1 wrt z?\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -4*r**3 + 3*r**2 + 3. Let n(t) = t**3 - t**2 - 1. Let c be (-2)\/11 - 36\/44. Determine c*m(g) - 3*n(g).\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 AM and 6:56 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 2 + 0 + -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1837, -3654, -5471, -7288, -9105?\nAnswer: -10922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of 0*i + 1\/240*i**5 - 52*i**2 + 7\/96*i**4 + 0 + 1\/4*i**3. Suppose h(p) = 0. Calculate p.\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/9)\/i)\/i**7*(i\/(i\/i**1))**24 assuming i is positive.\nAnswer: i**(143\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12 - 3430*w + 3483*w + 27 to x*w + c and give x.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r**2 + 2*r**2 - 7*r**2 + (0*r + 8*r - 2*r)*(27*r - 201 + 201) to the form f + q*r + u*r**2 and give u.\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence abb when three letters picked without replacement from {a: 8, b: 2}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 - -12. Let t be (3 - 2)*(-2)\/(-6). Put 0.04, t, i in ascending order.\nAnswer: i, 0.04, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6630000 to the nearest one hundred thousand.\nAnswer: 6600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a*m**4 - 3*a*m - 35*m**5 + 2*m**4 - 47*m**2 wrt m?\nAnswer: -24*a*m - 2100*m**2 + 48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(77)\/sqrt(7) + 5.\nAnswer: 3 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20 - 11. Let w = t + -4. Suppose 0*n + 5 = -w*n. Let i(h) = 4*h**3 - h**2 + 1. What is i(n)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625766 to the power of 1\/2, to the nearest integer?\nAnswer: 791","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 - 3*z**2 + 5 + 0*z**2 + 2*z**4 - 5*z**2 - 5*z. Let g(j) = -j**4 + j**3 + j**2 + j - 1. Let c(y) = b(y) + 5*g(y). Factor c(l).\nAnswer: -3*l**2*(l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 18*b**3*v**3 + 145*b**3 - 56621*b**2 - b - 48663*v**3 wrt v?\nAnswer: 54*b**3*v**2 - 145989*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3b44ad (base 16) to base 12\nAnswer: -1373979","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28246182 to the nearest integer?\nAnswer: 5315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 + 5)*(6 - 8 - 2)*((t + 0 + 0)*(t - t - 4*t**4) + 0*t**5 - 2*t**5 + t**5).\nAnswer: -20*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 180 + 167 = -3*z, 11 = -4*z - 3*b for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -8.44 * 16725\nAnswer: -141159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23 is divided by (-2 - 0)*(0 - 3) + 2.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -54450 less than -8969?\nAnswer: 45481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228)\/(sqrt(48)\/sqrt(4)) + 4*sqrt(304) + 2 + -4)**2.\nAnswer: -68*sqrt(19) + 5495","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -r. Suppose -3*u - i = -0*i - 577, -2*i + 8 = r. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76 - 28 - 22 - 26 + 292343*x**2.\nAnswer: 292343*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 66 (b) -1\/2 (c) 2865 (d) -5 (e) 2 (f) -2\/13 (g) -43\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2153*g + 389679. Calculate n(181).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/1958, 1\/10, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 71888.61 micrometers in kilometers?\nAnswer: 0.00007188861","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 + 6*h**2 - 8*h - 3. Let b be w(-5). Suppose -b - 3 = 5*d. Let l = d + 22. Does 3 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 8:19 AM?\nAnswer: 2:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 117724 and 19529792?\nAnswer: 6196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12437*j**5 - 127500*j wrt j?\nAnswer: 248740*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-448)\/(-160)*(-3)\/((-294)\/770)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 528 is divided by 231?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 23818967 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2*u**2 - 3*u - 3. Let s(i) = -27. Let n(w) = 28. Let v(k) = n(k) + s(k). Determine o(h) + 2*v(h).\nAnswer: 2*h**2 - 3*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38774, 38764, 38734, 38672, 38566?\nAnswer: 38404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 3*h**2 - 2*h - 4*h + 31*h - 13*h - 9 - 4*h**2. Determine p(12).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4229935, -8459848, -12689761?\n\"Answer: -4229913*c - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, u: 1, z: 5, x: 4, v: 2, r: 5}. Give prob of picking 1 v and 1 u.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 29084 by -40418.\nAnswer: -14542\/20209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 m when three letters picked without replacement from {k: 1, r: 2, e: 1, m: 1, u: 1, j: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19 + -19. Let m = 28.79 - 28.89. Put m, a, 1, 6 in descending order.\nAnswer: 6, 1, a, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, f: 5, q: 4, a: 1}. Give prob of picking 1 q and 1 f.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19 - -22. Suppose -6*z + 17200015 = 2*n - z, 3*n - 25799991 = i*z. Round n to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 2650?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/15 in 2807, 7, -0.29?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k**4 - 380*k**3 - 13726*k**2 - 13348*k = 0. What is k?\nAnswer: -142, -47, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 4*y + 24 = 0, 5*y = 421*o - 422*o - 14 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 250\/360 + 2\/(-8) - 1494100\/3497400?\nAnswer: 1\/58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 AM and 11:56 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 - 5*m**2 + 4*m - 4. Let o = -33 + 75. Suppose 0 = -2*g + 3*j + 11 - 3, -o = -5*g + 2*j. Calculate the smallest common multiple of g and q(-6).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 253 is divided by 51.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of t**8\/960 + t**4\/12 - 4*t. Let r(p) be the third derivative of n(p). Let a be (-98)\/56 - 3\/(-4). Give r(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -6*x + 112. What is s(23)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(1\/4)\/(l*(l*l**0\/l)\/l)*((l*l**4)\/l)\/l**0)**40)**(-4\/11) assuming l is positive.\nAnswer: l**(-680\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 223241 = -320*k + 214281 for k.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(343) - 1*(sqrt(343)*1 - sqrt(343)))*3 - 5*(3 + sqrt(343) + -2 + sqrt(343)))*2)**2.\nAnswer: 7840*sqrt(7) + 269312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in thirteen eighths of a week?\nAnswer: 16380","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 141039*x**5 - 13985*x - 2 wrt x?\nAnswer: 2820780*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 31627 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 11:04 PM?\nAnswer: 8:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 70046 to the power of 1\/2, to the nearest integer?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j**2\/3 - 106*j = 0. What is j?\nAnswer: -159, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145806 is divided by 52?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -5. Let v = -5.782 - -5.892. Let g = -2 - -1.6. Which is the nearest to 1? (a) g (b) v (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + (7 - 28) - (0 - -2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2*j**2 - 674*j + 14293. Give o(20).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 9\/10 of a millennium?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6 + 1 + 0)\/1. Let f(o) = -5*o + 5. Let z(i) = -2*i + 2*i + 9 - 9*i. What is k*f(u) - 4*z(u)?\nAnswer: u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 25073496 and 414?\nAnswer: 25073496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 14327 - 34579726?\nAnswer: -34565399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 - 4. Let y be g(0). Let b be (-22)\/y*(-12)\/(-3). Calculate the greatest common factor of b and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 446981 is divided by 35?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (v + v + 0*v)*(40 - 28 - 21)*(-2 + 2 - 1) as l + i*v and give i.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4711796 a multiple of 346?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 5*y**2 + 2277765*y - 18222440 = 0.\nAnswer: -455561, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 409788775 and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1616*i + 1615*i = -7 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -517 = -5*u + 323. Calculate the greatest common factor of 120 and u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2734817?\nAnswer: 2734817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 3*t**2 + 16*t - 239. Let k be s(11). Let f = 527 - k. Is 30 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, j: 2, u: 4}. Give prob of picking 1 u and 1 j.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 7, j: 6, c: 1}. Give prob of sequence jt.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(52) + -1)*1)**2.\nAnswer: -4*sqrt(13) + 53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3453322555?\nAnswer: 5, 5471, 126241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 5, g: 3, m: 2, u: 5, q: 5}. What is prob of picking 2 i?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of -q**4\/12 - 5*q**3\/2 + 5*q**2 - 125. Determine x(-10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-236)\/354*2\/6?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 17.87, 108, 1?\nAnswer: 17.87","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 4) to base 16.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 99062049?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 AM and 5:05 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 - c - 2. Let x be p(7). Let t be (72\/x)\/((-9)\/(-30)). Let h be (-2)\/t*2*-6. Calculate the highest common divisor of 32 and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 59 - l + 19*l + 0*l wrt l?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 8*j**2 - 294*j + 278*j + 4*j**2 + 4*j**3 = 0.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 3*o = -231, 2*o - 4031 = -38*i + 63. Calculate the least common multiple of i and 1350.\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 + 16. Let x = t - 25. Let s = 0.4 + x. Round s to 1 decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2 - (-72)\/34) + (-24880)\/1088 and (-114)\/(-4)*40\/(-72).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 348 a factor of 41751236?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 15*w - 46. Let a be 1*(18\/(-12) + 30\/4). Let d be f(a). Find the first derivative of -53 - 23*x - d*x + 34*x wrt x.\nAnswer: -33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 + -14. Let q = -2\/43 + 145\/344. Let y be 2\/(-1) + 1 + -2. Sort y, q, x in ascending order.\nAnswer: x, y, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 9:53 AM?\nAnswer: 9:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*w**(1\/10))\/w**(2\/7)*(w\/(w*w*w**0*w))**(5\/6))**17 assuming w is positive.\nAnswer: w**(527\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -344534144 - -1?\nAnswer: -344534143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 232 in -1\/8, -42, -0.02, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -3, 4\/11, -7\/11, -5, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*p, 6*p = -2*g + 3*p + 86. Let b = g - 191\/5. Suppose l - 7 = -3*i, -l + 11 = -0*l + 4*i. Put b, l, -1\/2 in descending order.\nAnswer: -1\/2, b, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -3*u - 6. Let v = -85 - -80. Give i(v).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2110 times 0.1468?\nAnswer: -309.748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 731 divided by 11.\nAnswer: 731\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 11 (b) 0 (c) 2\/3 (d) -0.5 (e) 3.7 (f) 31 (g) -1\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*h - 8, p - 22 = -4*h. Suppose -4*f + n + 62 = 0, -4*n = -3*n - p. Calculate the least common multiple of 20 and f.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49688000 rounded to the nearest 1000000?\nAnswer: 50000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13867 + -8569. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 32265477 and 25284058?\nAnswer: 4323573918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 41 = 3*m, 6*z - 7*z + 9*m = 95 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(4\/3)*w)\/w*w)**(-28) assuming w is positive.\nAnswer: w**(-56\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.12? (a) -0.1 (b) 1\/5 (c) 54\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1830 and 1029375.\nAnswer: 915","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0213474406 and -0.4.\nAnswer: -0.00853897624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 5.3 - 859584901.83\nAnswer: -859584896.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11118235?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -a + t + 3*t, 4*t = -2*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000037063 rounded to 7 decimal places?\nAnswer: -0.0000371","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 3*s + 164 = 0. Suppose -4*m - 1414 = 4*c - 338, -2*m = 10. Find the common denominator of s and (-2)\/(-11) - (-4 + (-3832)\/c).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-18) + 8 + -8\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -311*h - 53*h + 2220 + 5060 = 0 for h.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-51142)\/(-10959)*9\/(-16)?\nAnswer: -21\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 - 4*d. Let y be m(5). Suppose 36 - 1 = y*h + 4*s, 0 = -h + 5*s - 22. Suppose -4*i - 2 + 40 = h*c, 34 = 5*i - 3*c. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilometer in centimeters?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 8 = a, 2*x + 3 - 16 = -3*a. Suppose -a*r = -20 - 0. Let u(b) = 0*b**2 + r*b**3 - 2*b**2 + b + b**2. What is u(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*v = 65*v - 34 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 - 11*a**2 + 12*a - 15. Let g be y(10). Suppose -5*c + g*o + 90 = 0, o + 51 = 2*c - 4*o. Is 10 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12*27\/3078)\/(-3 + 1).\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of j*o**2 + 14459*j*o + 50*o**2 - 65*o + 2 wrt j?\nAnswer: o**2 + 14459*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m + 11. Let l(a) = a + 12. Let x = 382 - 363. Suppose x - 4 = -3*r. Calculate r*l(t) + 6*k(t).\nAnswer: t + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*i + 73 + 38 = -39 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 5:48 AM?\nAnswer: 9:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (-20 - (37 - 99))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00071024 to five decimal places.\nAnswer: 0.00071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2 - 3*t + 6. Give m(10).\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 3*b - 672764 + 672764. Let k(v) = -841*v**2. Give k(g(a)).\nAnswer: -7569*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4289062 to the power of 1\/2, to the nearest integer?\nAnswer: 2071","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*m + 9*m + 15 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-110)\/6 - 3\/(-9). Let d be (-1)\/(3\/h*-3). Let l = -5 - d. Let w(a) = a**2 + 3*a - 3. Give w(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 AM and 2:11 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.0063 in -0.1, 2\/17, 1\/4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 193530203 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/(336\/64)*(-7)\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one halves of a centimeter in millimeters?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28 and 217?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21667*b - 21077*b + 42680*b.\nAnswer: -64*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p**3\/6 + 1105*p**2\/3 - 15*p\/2 - 3315 = 0 for p.\nAnswer: -442, -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -166 + -a26?\nAnswer: -b8c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-6 - -1) - -7?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((1 + -1)\/1)\/(-1). Let c(r) = r**3 + r**2 + 4 + 0 - 2*r + 3*r. What is the units digit of c(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + x - 12 = -0*l, -4*l - 3*x = -4. Suppose 0 = -l*q - 41 + 485. Suppose -3*a + q = -0*a. What are the prime factors of a?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-81)\/432*15504\/(-323)*(-4)\/(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10 + -1450?\nAnswer: -1440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -114478 (base 11) to base 2\nAnswer: -101100010101010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 greater than or equal to -361?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-24)\/4 + 715\/120. What is the third smallest value in y, -1\/7, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 16 and 251.93763119?\nAnswer: 235.93763119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -14 - ((-594)\/77 - -2) and 55\/422.\nAnswer: 2954","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30311101113 - -10?\nAnswer: -30311101103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/26928 and -53\/264?\nAnswer: 26928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 276219?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1837 + 110*y**2 - 1837)*((-y + 0*y - y)*(-3 - 1 + 0) + 2*y + 2*y - 5*y + (6*y + 0*y - 4*y)*(4 - 1 - 5))*(0 + 3 + 1).\nAnswer: 1320*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -64\/23? (a) 22 (b) 0.1 (c) 2\/13 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of n**4\/12 + n**3\/3 - 3*n**2. Let k be 10\/6 + (-1)\/(-3). Give l(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -29115 + 73592. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -221655, -443306, -664957, -886608, -1108259, -1329910?\nAnswer: -1551561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = 4*s - 8*k + 19, 2*s - k = -7 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 16e (base 16) to base 2\nAnswer: 101101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2092 + 4012 = 379*l - 1097 for l.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = 3*b + 3*u, 6*b = b + u + 83. What is the remainder when 66 is divided by b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, 3081, -1, 1, 2, -106 in decreasing order.\nAnswer: 3081, 2, 1, -1, -3, -4, -106","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(28))\/sqrt(4)*-5.\nAnswer: 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4 - 13 - -5)*2. Let u = -25 - m. Let y(c) = -8*c**3 - c - 1. Give y(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*p - 344 = 55*p for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 892168.7 litres to millilitres.\nAnswer: 892168700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = q + t, q - 2*q = 5*t + 5 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-6))\/((-33)\/(-22))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h + 2. Let t be 1 - 2 - (-19 + 9). Let z(l) = 5*l - 5. What is t*q(j) + 4*z(j)?\nAnswer: 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24 - 13. Let k = 21 - h. Calculate the lowest common multiple of k and 7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 270507849 to the nearest integer?\nAnswer: 647","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(98) + sqrt(98) + -3 + -3 + 3)*1)**2 + -3 + 5.\nAnswer: -224*sqrt(2) + 458","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rmmmmrmmrrrm. What is prob of sequence mmr?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 + 4 = 2*j. Suppose j - 365 = -2*v. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4132*b - 4212*b = -1520 for b.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (125*s - 36*s + 77*s)*(2 + 4 - 5 - 3 - 1 + 5 + (2 - 3 + 3)*(-3 + 3 + 2) - 2 + 3 + 0)*(-14 - 21 + 47).\nAnswer: 13944*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (5 + -7) - 9 - -7\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6812 (base 11) in base 5?\nAnswer: 241332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 57.3749757 seconds in weeks?\nAnswer: 0.00009486603125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -103311 (base 4) to base 12.\nAnswer: -899","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.25 and -0.072.\nAnswer: -0.322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.5 + 1.2. Let s = -0.4 + u. Let o = 3 + -6. What is the smallest value in o, 4, s?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 277 + -271. Find the second derivative of 32*v**3 - 15*v**3 - h*v**3 + 2 + 6*v**5 + 14*v - 5*v**3 wrt v.\nAnswer: 120*v**3 + 36*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*((-2 - 24) + 1). Suppose n = -z + 100. Suppose -2*d + 7*d = n. Calculate the highest common factor of d and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.8 and -222.\nAnswer: -177.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/7)\/(32\/112). Suppose 3*m + l*x = 3, 0 = 4*m - 2*x + x - 24. Suppose -5*k + 4*f = -713, -m*f = -k + 2*k - 160. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 118053880 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 - 7*l**2 - 7*l + 3. Let v be p(8). Let f = v + -9. Suppose -d - 2 = -o, -3 = -2*o - f*d + 5*d. Solve -o*w = w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of 0*s**2 + 1\/4*s**3 - 2 - 9\/16*s**4 + 0*s + 9\/20*s**5 - 1\/8*s**6. Factor r(h).\nAnswer: -3*h**2*(h - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of 2\/39*s**4 + 1\/39*s**3 + 1\/130*s**5 + 14*s + 0 - 6\/13*s**2. Factor a(r).\nAnswer: 2*(r - 1)*(r + 2)*(r + 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 40*c**2 + 6*c + 18. Let w(k) = k**2 - k - 4. What is -f(a) - 6*w(a)?\nAnswer: -46*a**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 142*b**3*c**3 - 3*b**3*c - 88*b*c**2 wrt c?\nAnswer: 852*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 784\/336 + 109\/(-39). Suppose 0 = -2*m - 2*m. Which is smaller: m or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 15, y: 5}. What is prob of picking 3 y and 1 g?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*h + 1 - 1)*(3 - 1 + 1) - 83 - 3*h + 83 to the form m*h + y and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (4 + -7 - 6) + 7 + 5\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v - 1. Suppose 2 - 6 = -3*n - 2*b, 2*n - 3*b + 19 = 0. Let z be m(n). Calculate the least common multiple of (1 - -11)*z\/(-3) and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -39858*y + 6911*y + 16463*y + 1459*y as d*y + x and give d.\nAnswer: -15025","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**2\/4 + 357*v\/2 - 42483\/4.\nAnswer: -3*(v - 119)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -482*n + 1124 = -609*n + 4172 for n.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 10100001011111001 (base 2) to base 6\nAnswer: 1434441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.4 - -0.2. Let d = p + 0.2. What is the smallest value in -24, 3\/5, d?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 198, 381, 552, 705, 834, 933, 996, 1017?\nAnswer: 990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*n + 16*n - 30 = 0. Let t be (-200)\/2*36\/n. What is the first derivative of t - 84 - 12*b**4 + 35*b**4 wrt b?\nAnswer: 92*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 - 6*m + 6. Let s be z(-7). Let b(u) = u**3 + 3*u**2 - 1. Let f be b(-1). Let i(g) = 3*g + 11. Let w be i(-5). Put s, f, w in ascending order.\nAnswer: w, s, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 264022737?\nAnswer: 3, 11, 8000689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34492, -34444, -34356, -34210, -33988?\nAnswer: -33672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35029 is divided by 898.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 8 = -3*w. Let b = 49 - 47. Find the third derivative of -62*r + 127*r - 65*r - 15*r**w - 13*r**b wrt r.\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 1365*i**3 - 969*i**3 - i - 2 + 3*i.\nAnswer: -2334*i**3 + 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-25)\/z**(-26)*z\/(z*z**19\/z*z)*z\/(z\/(z\/z**(-14))) assuming z is positive.\nAnswer: z**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -435.945 and -11800647?\nAnswer: 11800211.055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/12 - 16\/6. Let l be o - -7 - (-6)\/3. Differentiate 8*h - 8*h - 5*h**2 + l wrt h.\nAnswer: -10*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4030240.146 rounded to the nearest 1000?\nAnswer: -4030000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 z when four letters picked without replacement from zezz.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1181, -1117, -983, -761, -433, 19?\nAnswer: 613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of -54 - 3*s + 20 - 56 + 4*s**2 - 5*s**2. Let n(p) = 9*p + 13. What is 6*n(i) + 26*w(i)?\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12633161 - -141?\nAnswer: -12633020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*v - 195*v**2 + 13*v)*(-1 - 2*v**3 + 1).\nAnswer: 390*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23, -43, -63, -83, -103?\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -477736*a**6 - 150103*a**2.\nAnswer: -57328320*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 PM and 11:19 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 357 and 576261.\nAnswer: 9796437","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6411907?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 - a. Let c(j) = 3*j**3 - 2*j. Let u(l) = -c(l) + t(l). Find the second derivative of u(b) wrt b.\nAnswer: -12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*n - 3358 = -231*n for n.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/3 and (-3)\/(-12)*(-1044)\/126?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qhdr when four letters picked without replacement from {s: 1, o: 2, r: 1, h: 1, d: 1, q: 1}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 75*y - 1293. Determine o(18).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*x + 2*x - 32 = 0. Solve 7*i - 10 = x*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6260762*z**2 + 2*z**3 - 6260762*z**2.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the third derivative of -7*x**5\/60 - 8*x**3\/3 + 17*x**2. What is the first derivative of b(j) wrt j?\nAnswer: -14*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1328 = -142*g - 518 for g.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*(-1)\/(-5) + 48\/10. Let y be u\/(10\/(-4)) + 285\/140. Is y <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 4*p**5\/3 - p**4\/3 - 20*p**3\/3 + 5*p**2\/3 + 16*p\/3 - 4\/3 = 0?\nAnswer: -2, -1, 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + -2909?\nAnswer: -2909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10 + 1*(3 + -4). Suppose i - a = -0. Suppose 2*r = r + i. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14932 or 14937?\nAnswer: 14932","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8.3022 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of -4*r**5\/5 - 3*r**4 + 64*r**3\/3 - 24*r**2 - 1. Solve a(x) = 0 for x.\nAnswer: -6, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(180) + -4)*2 + 3 - (4 + sqrt(180) + 1 + sqrt(180) - (4 + (sqrt(180) - (sqrt(180) + 1)))))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 5 = 2*m + o, 0 = 5*m + 2*o + 10. Let b(q) be the third derivative of m - 8*q**2 - 1\/12*q**4 + 1\/30*q**5 - 1\/2*q**3 + 0*q. Calculate b(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 5*w. Let l(x) = -x**2 + x + 18. Let k be l(0). Suppose w = m + m - k. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1118300 is divided by 96.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-2\/15)*j*j**(-16)\/j*j)\/(j**(-27)*j**(-2\/45)\/j) assuming j is positive.\nAnswer: j**(626\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 0 (b) -6 (c) 5 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 AM and 10:55 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -5*g + 7. Determine n(6).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -677 by 677.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 81 - 82. Let o = -0.2 + 0.2. Let t = 0 - o. Which is bigger: m or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**5\/5 + 6*k**4\/5 - 2*k**3\/5 - 22*k**2\/5 - 24*k\/5 - 8\/5 = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 683?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*n*r**4 - 45*n*r - 4985*n - 21*r**4 - 4 wrt r?\nAnswer: 8*n*r**3 - 45*n - 84*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/4)\/(2*40\/32).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*p**2 + 1 - 13*p**2 - 1.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2318705?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) + sqrt(77)*-2*6 - sqrt(77)) + (sqrt(77) + sqrt(77)*-1)*6)\/(-1*sqrt(99)*-3)*2.\nAnswer: -8*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2 + 1776*q.\nAnswer: 2*q*(q + 888)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 4*b**2 - 3*b + 3. Let p(y) = 4*y**2 - 2*y + 2. Let w(x) = -3*p(x) + 2*u(x). Let s(f) = -81*f**2 + 39*f**2 + 40*f**2. Determine s(w(l)).\nAnswer: -32*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 2*y + 4*n = 4, y - 2 = -5*n. Find the third derivative of -49*g**6 + 39*g**6 - 4*g**3 + g**y + 27*g + 4*g**3 + 2*g**4 wrt g.\nAnswer: -1200*g**3 + 48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three tenths of a century?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -427128.9 to the nearest 1000.\nAnswer: -427000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21.138 - 0.512. Let l = q + -0.35. Let v(n) = -n**3 - 9*n**2 + 33*n - 21. Let z be v(2). Which is smaller: l or z?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -84*j**2 + 19 + 2*j + 40*j**2 + 43*j**2. Let v be b(5). What is the highest common divisor of v and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 6*u**2 + 118*u + 28. Let c(o) = -39*o - 8. Determine -7*c(d) - 2*v(d).\nAnswer: -12*d**2 + 37*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttrrrrrr. Give prob of sequence rtrt.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/2*272\/24. Let l = 25 + w. What is the smallest common multiple of 6 and l?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from gigoiigoohmgo?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160*x - 225*x + 325 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 26 = -3*s + 14, 0 = n + s - 4 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 92506843 to the nearest integer?\nAnswer: 452","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/29, -4, -7, 0.56 in increasing order.\nAnswer: -7, -4, -2\/29, 0.56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-8)*a**6)\/(a*a*a**(2\/7)*a*a)**(5\/6) assuming a is positive.\nAnswer: a**(-32\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -2058817.\nAnswer: 1029408.5","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5488, 11183, 17102, 23245, 29612, 36203, 43018?\nAnswer: 50057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 11\/2 of a milligram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 30*((-36)\/(-24))\/(27\/6). Let f be -3 + -15 + 8 + x. Solve f = -r - 8 + 4 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207\/45 - 4\/(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 10 = -0*g. Suppose -66 = -7*p - g. Calculate the lowest common multiple of p and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 7:05 AM?\nAnswer: 5:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 962 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of -k**5 - 255*k**4\/4 + 265*k**3\/3 + 255*k**2\/2 - 260*k + 8622. Factor l(h).\nAnswer: -5*(h - 1)**2*(h + 1)*(h + 52)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 20 in 1, 6, 0, 3.34?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5*7660*-120 + 0. What is r rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 48\/(-42)*(-5 + -2). Let k(u) = 18*u - 8*u + u**3 + 123*u**2 - 132*u**2 - 8. What is k(s)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 37207\/2100 - 124\/7. Let s = 2678 - 2677. Is z >= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + i - 343 = -341, -8 = -4*b - 4*i for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (28\/(-132))\/(2 - 8\/3). Let v = q + -1\/2. Let k = 5 - 1. Which is the smallest value? (a) k (b) 2 (c) -2\/15 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 455 + -439. Let p be (-14)\/(1 + 0) - -2. Let t = p + s. Solve 3*y = t*z + 23, -z - 5 = -3*y + 12 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*p - 55 - 36 = 0 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15368.\nAnswer: 2, 17, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(19) - -2*sqrt(19))*-3)**2 - sqrt(57)\/sqrt(12)*-1.\nAnswer: sqrt(19)\/2 + 1536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21078025 to the nearest integer?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddac when four letters picked without replacement from daacdda?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 211\/4 + (-5)\/(-5). Let m = v - 53. Suppose 5*r - 19 = 1. Sort -1\/3, m, r in increasing order.\nAnswer: -1\/3, m, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 - 8*u**2 + 2*u - 9. Let a be l(8). Let s(w) = w - 2. Let g be s(7). Solve 0 = -g*k - d + 8, -a = 5*k - 3*k - 3*d for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 AM and 8:21 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -72*g**5 + 96*g**5 - 77*g**5 + (-3*g - g + 2*g)*(-4*g**4 - g**4 - g**4).\nAnswer: -41*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 267502170.\nAnswer: 2, 3, 5, 13, 419, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 8, z: 2, k: 1, d: 2, w: 2, i: 4}. Give prob of sequence yd.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 6:38 PM?\nAnswer: 3:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 175982, 351941, 527888, 703823, 879746, 1055657, 1231556?\n\"Answer: -6*t**2 + 175977*t + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*d + 84 = 10*d - 13*d - 213 for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b + 4*w - 143988, -42405 = 3*b - 2*w - 128811. What is b rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22514671 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 113*f**5*g + 65*f**3*g - 843*f*g + 16*g wrt f.\nAnswer: 2260*f**3*g + 390*f*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**0)**(-1\/18)*(f**(4\/7)\/f*f)\/((f*f**10)\/f) assuming f is positive.\nAnswer: f**(-66\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 3806*i + 5731. Let k(q) = -272*q - 409. Let r(o) = 55*k(o) + 4*v(o). What is the first derivative of r(p) wrt p?\nAnswer: 264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (13 - ((4 - 5) + 17)) + (1 - -6)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 61200 rounded to the nearest 1000?\nAnswer: 61000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.100802072 take away -0.0318?\nAnswer: 0.132602072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 + 16*j**2 - 16*j - 10. Calculate l(-17).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24) + sqrt(240)\/(sqrt(20)\/sqrt(2) + sqrt(10)) - sqrt(384)*1)\/((sqrt(64) + -1*sqrt(64) + sqrt(16))\/sqrt(2)).\nAnswer: -5*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n + 282 = -15. Calculate the remainder when 95 is divided by n.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1192128 a multiple of 105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*x + 22 = 32*x. What is the lowest common multiple of 50 and x?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, 1, -369, 12, -1.\nAnswer: -369, -3, -1, 0, 1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2778)\/1852)\/(((-6)\/8)\/(450\/20)).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*w = 16*w - 10 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/(-7)*(-189)\/(-54). What is the common denominator of ((-2)\/(-36)*-103)\/(2\/k) and -1\/46?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/((2 - 1)*11\/(-22)). Solve 3*z = y*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12010 (base 6) to base 8\nAnswer: -3306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 116 and 1334?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 638289?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -1605*x. Let c(a) = -803*a. Let u(f) = -9*c(f) + 5*j(f). Let n be u(-1). Suppose -7*b + n - 182 = 0. What is the lowest common multiple of b and 4?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3838400 to the nearest one hundred thousand.\nAnswer: 3800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -1. Let q = -0.1 + 0.1. Let j = 16.9 + -11.9. Which is the third smallest value? (a) q (b) j (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4\/7*d**2 - 70694464\/7 - 33632\/7*d = 0. Calculate d.\nAnswer: -4204","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q - q + 2*q + (5 + 4 + 0)*(-6*q + 2*q + 3*q) + (3 - 5 + 1)*(2 + 2*q - 2) - 1 - q + 1 to the form o*q + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32341 (base 12) to base 5.\nAnswer: 4104040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*u = -6*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**2 - 18210*o + 18205.\nAnswer: 5*(o - 3641)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 231 + 16905. Is q a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5752145 + -1?\nAnswer: 5752144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 461 = 159. Let m = 174 + l. Does 13 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -519372624*x**3 - 622118217*x**2 wrt x.\nAnswer: -3116235744","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 2 (b) 0.3 (c) -9 (d) 0.13 (e) -1\/74 (f) 166\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 514 + -96. Let n = s - 408. Let d = 2 + -2. Which is the smallest value? (a) n (b) d (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 50620 and 9610?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-one quarters of a litre?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -5*t + 0*t**2 + t**2 - 3 + 7. Let m be r(4). Differentiate o**2 + 0*o**2 + m + 2 with respect to o.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 108 and 3186?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-516)\/24 + 18)\/(63\/12 + -3)\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7038566773.\nAnswer: 7, 1005509539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 + 14. Let s(z) = 5*z**2 + 6*z - 2. Let r be s(q). Solve -p = -4*p - r for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576576.27 rounded to the nearest one thousand?\nAnswer: 577000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 AM and 10:14 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -2*w**2 + 14*w + 30. Let q be x(-3). Suppose 0 = -5*j + 29 - 44. Are j and q nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2335.42815 to the nearest integer.\nAnswer: 2335","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-56)\/(-40) + 4\/(-10))*-55. What is the common denominator of 1\/(2\/2) + 140\/x and -59\/9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-144)\/120)\/((1*-21)\/(1*14\/7)).\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22 + -40. Let n = -61 - u. Which is the closest to -0.2? (a) -4 (b) n (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 132?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 5*l - a + 3*a, 0 = -4*l + 5*a + 26. Solve -l*o - 8 = 4*v, -3*o = 2 + 10 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63468.\nAnswer: 2, 3, 41, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -7. Let d = -3 - v. What is the smallest value in 3, d, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(4\/(-1))*(-46)\/23?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 - 101 + 5*a**2 + 100 + 3*a - 2*a + 0*a. What is the remainder when (2 - -55) + -1 + 2 is divided by p(3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 842.3? (a) 2\/5 (b) 0 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + 2\/(-2) - -2. Let m be p*(-1*5 + -1). Let q(d) = d**2 + 5*d - 8. Let y be q(m). Is -2 <= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -9428, -9425, -9420, -9413, -9404, -9393, -9380?\n\"Answer: s**2 - 9429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4210a5 + 1c?\nAnswer: -421086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 h when three letters picked without replacement from {y: 3, h: 5}?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(1\/2)*i)**(-2\/11)*i*i**(1\/3)\/i*i*i*i*i**(-1\/4) assuming i is positive.\nAnswer: i**(347\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 107 - 156. Let t = -10 + 81. Let c = t + m. What is the highest common divisor of c and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3361 - 1481. Suppose -7*c + y = 396. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 4*v = 18, -5*p + 18 = v + 3. Which is the closest to 6? (a) p (b) -0.4 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 723360 divided by 10.\nAnswer: 72336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 396869 divided by -109.\nAnswer: -3641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 91097.73 millennia?\nAnswer: 9109773","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 588 and 272426.\nAnswer: 11441892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 + 2*s - 1. Let n(d) = -3*d**3 - 9*d**2 - 9*d - 43. Let t(k) = n(k) - 4*v(k). Does 13 divide t(14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 819*z + 2440*z + 375*z.\nAnswer: 3634*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30216 - -47866. Suppose -3*x + y = -8*x. Round x to the nearest 100.\nAnswer: -3500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2*k**3 + 3*k - 2. Let n be j(1). Suppose 4*h = x + 60, 6*x = n*x. Let u = 63 - h. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1388*w + 1613.\nAnswer: -1388","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 4*h - 81042, -48562 = -5*h - 3*v + 52751. List the prime factors of h.\nAnswer: 3, 2251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 10430, 20878, 31326, 41774, 52222, 62670?\n\"Answer: 10448*m - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1659600161.0000054 + -1659600480. Let i = h - -319. What is i rounded to 5 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13404 + 2064291\/154. Let v = t - -4579\/2772. Calculate the common denominator of v and 1 + 0 - (534\/(-48) - -6).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -629.15 - 7.85. Let x = u - -637.73. Round x to 1 decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1375 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2251*a**2. Let s(i) = -547*i. What is v(s(k))?\nAnswer: -673519459*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 28 = -12. Suppose 4*a - u = -4*t, t - 19 = -t - 5*a. Solve y + 4*y = -t*f, -4*y + 5*f - 33 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2001013 (base 4) to base 13\nAnswer: -39b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of r**4\/12 - r**3\/3 + 3*r**2 - 2615*r. Give h(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -8\/11 (b) -2\/5 (c) -22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 7*y + 4. Let v be 6 - 1*(-4 + 115). Let k = v + 104. Let l(o) = -o - 1. What is k*g(x) - 2*l(x)?\nAnswer: -5*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 - (-23 - (-57 + 27))?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 - 13*t**2 + 2*t + 64. Let o = -57 - -70. Let k be x(o). Calculate the greatest common factor of k and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**6*(((g*g**(1\/2))\/g)\/g)\/g)\/((g**(-2\/7)*g)\/((g**(-1\/6)\/g)\/g)) assuming g is positive.\nAnswer: g**(34\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x**(-2))**(-1\/34)\/(x*x**(-1\/4)*x*x*x)**(28\/9))**(2\/37) assuming x is positive.\nAnswer: x**(-70\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 388702182?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -23*u - 1. Let n(a) = -22*a - 2. Let s(i) = 5*n(i) - 4*t(i). Let z(f) = 19*f + 7. Let g(v) = 5*s(v) + 6*z(v). Differentiate g(d) wrt d.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38525867, 38525894, 38525967, 38526110, 38526347?\nAnswer: 38526702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(190)*-1*-3 + (1*sqrt(190)*6 - sqrt(190)))\/(6*3*-1*sqrt(10)))**2 + -2.\nAnswer: -662\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 1649*n**2 - 4*n + 7397. Let w(h) = -3297*h**2 + 10*h - 14727. Let f(a) = -5*o(a) - 2*w(a). Differentiate f(c) wrt c.\nAnswer: -3302*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 2 + 5 = -5*k, -4*f = 4*k + 8. Let a be 9 + (k - 5) + 3. Suppose 0*y - 5*y + 20 = 0. Solve 0 = -a*g + y*g - 2 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + x = 3. Let u = x - -8. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1645*i - 1675*i + 3324*i.\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*r = 30*r - 126. Suppose 3*j + r = -12*x + 10*x, j - 4 = x. Let u(a) = a**3 + 7*a**2 + 8*a + 6. What is u(x)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2600 divided by 52.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 1 - 429*g**3 + 427*g**3 + g as m*g**3 + k + a*g + v*g**2 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 + 3*g + 12. Let t be o(6). Let x(y) be the second derivative of -y**3\/6 + 7*y**2\/2 - y. Calculate the remainder when x(t) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 200101021 - 0?\nAnswer: 200101021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -z**3\/3 + 9185*z**2\/3 + 1131733*z\/3 + 34631347\/3 = 0?\nAnswer: -61, 9307","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16\/15 - 2\/5. Let y = 1.1 + -0.8. Let v = -0.4 + y. What is the nearest to v in 1\/3, -0.4, j?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.97041 litres to millilitres.\nAnswer: 1970.41","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 64 + -31. Let f = 55 - y. Solve h - 4 = -t, -3*h = -0*h + 5*t - f for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 + 2*p - 7. Let l(i) = 1. What is -k(r) - 3*l(r)?\nAnswer: -r**2 - 2*r + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1291 in 63346, 2, 1\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k + 170 = -919. Suppose k = 5*l - 379. Let n = 53 - 28. What is the greatest common divisor of n and l?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*y = 10*y - 3 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 36*o - 6*o + 64*o + 0*o + 4*o - 2*o + (0 + 1 - 3)*(5*o - o - 2*o))*(2 + 2 - 5).\nAnswer: -92*o - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 5*p**2 - 59*p + 1037. Determine r(17).\nAnswer: 1479","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 165440, 164094, 162748, 161402, 160056?\n\"Answer: -1346*j + 166786","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(2\/5))**12\/(d\/((d\/d**6)\/d*d)*d\/(d\/d**(-2\/11))))**(1\/9))**30 assuming d is positive.\nAnswer: d**(-112\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 + 6*n**2 + 6*n + 5. Let k be w(7). What is the units digit of k + 5 + (0 - -24)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -216 + 218 + (-1 - 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, -14\/5, -976?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/2 + 1\/(-2). Suppose m + 5 = 4*z + 40, b = z + 5. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3225277 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1685?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 4*p = 0. Suppose -4*s + p*s + 44 = 0. Solve 5*x - s = 4 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*p + 112 = 60. Let k be 224\/p + (2 - 7). Calculate the greatest common divisor of k and 561.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -634.5 + 635. Let q = -0.92 - 0.08. Which is the closest to q? (a) -5 (b) 2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - -3. Suppose -t*p + 9 = -3*v, 3*p - 6*p + 9 = -2*v. Calculate the remainder when 31 - (v + -3) - -2 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2883 = 5*x + 2*s, 75*s - 20 = 70*s. Solve 495 - x = -10*k for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 33 - 18. Let a be 118\/(-20) + (-9)\/y. Let b = a + 29\/4. What is the biggest value in -0.4, -2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-18)*10\/((-100)\/15).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r - 4. Let a be p(-6). Suppose 2*y + 101 = 3*m + 6*y, -m - a*y = -33. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence df when two letters picked without replacement from {g: 1, b: 2, o: 1, f: 2, d: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 2650?\nAnswer: 1\/1325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 807\/209 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 156827?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r\/(r\/r**19)*r**(3\/8)*(r*r**(-2\/7))**(-14) assuming r is positive.\nAnswer: r**(83\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhfh. What is prob of picking 2 h?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 365 is divided by 182.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 - c**2 - c - 1. Let b(o) = 7*o**3 - 9*o**2 - 6*o - 6. Let t(l) = -b(l) + 6*s(l). Let g(k) = 2*k**3 - 4*k**2. Determine 3*g(q) + 4*t(q).\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66627?\nAnswer: 3, 11, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 + -7. Is 4 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*n - 87*n = -y - 10, 0 = 3*y + 6 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 + 9*s**2 - 12*s**2 + 23 - 46.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, a: 1, m: 1, u: 2, r: 2}. Give prob of picking 1 u, 1 a, and 1 m.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -6852, -13875, -20898, -27921?\n\"Answer: -7023*k + 171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 1:30 PM?\nAnswer: 10:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 divided by -426?\nAnswer: -67\/426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.16 - -6.16. Let n = b - 11. Let h = 1\/268 - -527\/2412. Put h, 3\/5, n in descending order.\nAnswer: 3\/5, h, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in twenty-two ninths of a hour?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 4*b**2\/13 - 1822*b\/13 + 4530\/13 = 0.\nAnswer: 5\/2, 453","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/(-4))\/(1\/(-2)). Let h be ((-81)\/6)\/(w\/(-4)). Suppose 4*j - 10 = h. Calculate the greatest common divisor of 35 and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of 7*d**6\/360 - d**5\/40 - d**3\/3 - 14*d**2 + 13. Let s(q) be the third derivative of k(q). Let h(v) = -v**2. Calculate s(h(f)).\nAnswer: 7*f**4 + 3*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 e, and 1 d when three letters picked without replacement from edddgepdzded?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of -j**8\/840 + j**7\/175 - j**6\/100 + j**5\/150 - 6*j**2. Solve p(i) = 0 for i.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*g - 3. Let h be (-414)\/(-126) + 4\/(-14) + 2. Sort g, h, -2.\nAnswer: -2, g, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 + 72*f**2 + 546*f - 66. Calculate y(-9).\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 22199 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/2 - (-2)\/12. Let m = 2815 - 14073\/5. Which is the closest to m? (a) -5 (b) l (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 10082*z**5 - 31098*z**4 - 7508*z**3 + 31044*z**2 - 2574*z + 54 = 0.\nAnswer: -1, 3\/71, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 11) to base 4\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 39*k**2 + 63*k + 272. Is p(-4) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of k**5\/20 + 7*k**4\/12 - 5*k**3\/3 + k**2\/2 + 7*k. Is b(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -5*w. Let t(o) = 838980*o**2. Give q(t(z)).\nAnswer: -4194900*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.17*-491422.\nAnswer: 83541.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 15 = -26*r, a - 3*r = -78 + 75 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1476 is divided by 219?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*6*((sqrt(540) + (sqrt(540) - 6*-1*sqrt(540)) + sqrt(540))\/sqrt(12) - (-2 + (sqrt(45) - (-5 + sqrt(45) + 0)))))**2.\nAnswer: -209952*sqrt(5) + 4735584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g + 4. Let y be k(7). Suppose -9 = -0*d - 3*d. Let x = y + d. Put 2, x, 4 in descending order.\nAnswer: 4, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 722 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -73 - 2247*j - 2888*j + 75 in the form h*j + c and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -9, 96\/19, 4, -4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 x, and 1 p when three letters picked without replacement from {v: 4, p: 4, x: 3, i: 1, l: 4}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 38\/(-8) - (10\/(-5) + -3)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 4*m + 22, -5*p = -5*m + 2 + 8. Suppose j + p = 4. Solve -j*h - 14 = -4*o, o - 2*h = -5*h for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) -1\/7 (b) -0.3 (c) -151\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-8)*l*l**(1\/18)*l*l*l)**32 assuming l is positive.\nAnswer: l**(-1136\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 14120000 rounded to the nearest 1000000?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 77200 = -0*k. What is k rounded to the nearest 1000?\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 (base 6) in base 11?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*v**2\/3 - 385*v\/3 + 95\/3.\nAnswer: 5*(v - 19)*(4*v - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1078 + 1063 - (1 + 12)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 2 d, and 1 a when four letters picked without replacement from adgkddk.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*b - 0 + 36 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 6*j**3 - 4*j**2 - 3. Is d(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a century in months?\nAnswer: 1400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1155.966 - 1156. Round h to two dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -13 and -0.07975?\nAnswer: 12.92025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/3 + (-78616)\/(-1902)\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 5*s**5 - 15*s**4 - 115*s**3 + 135*s**2 + 110*s - 120 = 0.\nAnswer: -4, -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81 = -2*j - 8*c + 4*c - 93, -5*c - 14 = 3*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 12*h - 17. Let r be q(1). Suppose 0 = -2*z + 2*g - 7*g - 12, 3*z + g = 8. Sort z, r, -1 in decreasing order.\nAnswer: z, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 445808?\nAnswer: 2, 11, 17, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*o + 13713 = -9129. Is 47 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*p - 92 + 8. Suppose 2*h - p = -3*z, -h + 2*h - 32 = 5*z. Calculate the remainder when 31 is divided by h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1737147 and -30806.1?\nAnswer: 1767953.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 936779 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 104348 divided by -4?\nAnswer: -26087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 349 + 1570*y - 1610*y - 349.\nAnswer: -40*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34888, 15, 0, 2, -1 in descending order.\nAnswer: 34888, 15, 2, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -58 + 69. Let g = 82 + -28. Calculate the remainder when g is divided by t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 192*a - 7. Let v be y(7). Let g be v\/21 + (-4)\/6. Suppose m - 5*m + 36 = 0. Calculate the greatest common factor of g and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5642.2 * 0.53\nAnswer: 2990.366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 u when two letters picked without replacement from mmmuuouuucmxmu.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-5\/3)*(k\/k**(-2\/9))\/k)\/(k**(3\/5)*k*k*k*k**(-2)*k*k))**(-2\/145) assuming k is positive.\nAnswer: k**(64\/6525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2050799 and 7955.\nAnswer: 1591","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.108, 0, 1\/6, 31 in decreasing order.\nAnswer: 31, 1\/6, 0.108, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*p - 9 = 2 + 25 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -66 + 66.043. Let v = c + -2.423. Round v to 1 dp.\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6186?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -3*f + 18, 34 - 10 = 4*f + d. Suppose 224 = -2*b + f*b. Is 21 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, 26, 4, 67, 1 in descending order.\nAnswer: 67, 26, 4, 1, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 1800 = -2*x. What is the hundreds digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3379 and 124.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(-33) + 114\/22. Suppose -q + s = 1, x*q - s + 2 = 3*s. Suppose 6*o - q*c = o + 76, 3*c + 37 = 2*o. Does 14 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 + q + 1. Let v be n(-1). Let z = -57.7 + 58. Let k = 0 + z. Which is the smallest value? (a) k (b) -0.5 (c) -3 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**7)**(-1\/62) assuming n is positive.\nAnswer: n**(-7\/62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 38480?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 100) + (2486 - 2517)\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -106*3*((0 - 3) + 2). Suppose 14*k - x + 38 = 0. What is the remainder when k is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of 231*n**2 - 5*n - 2. Suppose 0 = -k - 3*x, -13*x = 4*k - 8*x - 14. Is l(k) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 199\/1320 and 73\/154?\nAnswer: 9240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 6577 + 91763 = 0. Suppose -3*i = 317186 - w. Let f = i + 1531. Round f to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 7553033434?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -30 - 1525?\nAnswer: -1555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8213?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 389338 and 2650.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 - 12. Factor -7 + 36*j**2 + 28*j**u + 8*j - 9 + 16.\nAnswer: 4*j*(j + 1)*(7*j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + (sqrt(68)*-4)\/sqrt(4))**2 + sqrt(119)\/(-3*sqrt(7)).\nAnswer: -sqrt(17)\/3 + 153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -49 + (-3)\/(-4)*4. Let y = -18 - q. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*v**3 + 39*v**3 - 26*v**3.\nAnswer: -20*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6234*n - 5614*n**3 - 5584*n**3 + 11172*n**3 + 21*n**2 wrt n.\nAnswer: -156*n + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2698 - 2628 + 257*g + 7954 - 2628.\nAnswer: 257*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-180)\/(-75))\/(14\/(-455))*((-5)\/(-1))\/10?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (17\/2)\/((-1)\/(-2)) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 211*n. Let l(w) = 106809*w. Calculate h(l(f)).\nAnswer: 22536699*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 53694103 at least as big as 53694105?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2607*(-34)\/7854 + (-2)\/(-14)?\nAnswer: -78\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 256726?\nAnswer: 2, 23, 5581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1806 a factor of 113210910?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 2616*q**2 - 696*q + 2651*q**2 - 5268*q**2 to z*q**2 + v*q + s and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 245 divide 127418?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 68296871 to the nearest integer?\nAnswer: 409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 3*f - 1, -9*f - 4*m = -11*f - 4. Suppose z + 9*z - 270 = f. Solve 5*x - 4*k + z = 0, 0 = -5*x + 5*k - 39 + 9 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 3*u**4 + 2*u**3 - 2*u**2 - 10*u - 2. Let n(i) = i**4 - i**3 + i**2 - i + 1. Let v(q) = 2*n(q) + p(q). Find the second derivative of v(l) wrt l.\nAnswer: 60*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -20 in 2\/11, 0.009, -2\/23?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.11 and 26.\nAnswer: -2.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*i = 98*i - 14602. Suppose 2 = -n, v - 5*n = 151 + i. What are the prime factors of v?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/8424 and 101\/815256?\nAnswer: 7337304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28 + 78 + 53)*(-2*v**4 - 2*v**4 + 3*v**4) - 4 + 4 - 2*v**4 + (-v**4 - v**4 + 3*v**4)*(2 - 3 + 3) + 4*v**4 - 5*v**4 + 2*v**4.\nAnswer: -158*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -451*m + 495*m - 1610115 = 848121. What is the hundreds digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 AM and 4:15 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5950?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2934*t**3 - 988*t**3 - 961*t**3 - 988*t**3.\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*z + 24*z - 8*z - 5*z - 13*z.\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 6:10 AM?\nAnswer: 1:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 AM and 11:05 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 145, 395, 683, 1003, 1349, 1715?\nAnswer: 2095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.1 (b) -3\/8 (c) -4 (d) -0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*m**3 - 3572*m - 12*m**3 - 2979*m + 34*m**3.\nAnswer: 11*m**3 - 6551*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -113 + 441?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -38*z**2 - 5*z - 5. Let i(d) be the first derivative of -19*d**3\/3 - d**2 - 2*d + 8. Let n(h) = 2*a(h) - 5*i(h). Let w(r) = -r. Calculate n(w(p)).\nAnswer: 19*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 3764*w = -3767*w + 19, w = -n - 2 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.2 + 3. Let b = -2.9 - l. Round b to one decimal place.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 0*n + 3 = 0. Suppose -2*o + n*x = -11, 2*o = -2*x - 3*x + 3. Let d(f) = 2*f**2 - 2*f - 5. Is d(o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttttttttt. Give prob of sequence tttt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(224\/(-12)) + 8\/((-56)\/193)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78686 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (54\/(-15))\/(36\/(-3480)) - 0. Let k(m) = -349 + 696 - s - 5*m. Give k(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 5. Let y(p) = 0 + 5*p**x + 7*p + p**3 + 3 - 13*p**2. List the prime factors of y(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2*h. Let t(q) = 18*q - 49 - 49 + 98. Let n(i) = 266*i. Let a(d) = -5*n(d) + 76*t(d). What is a(c(j))?\nAnswer: 76*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33443?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4001 is divided by 52.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m**(-7)*m*m*m**(3\/5)*m)\/(m**(-2\/3))**(-3) assuming m is positive.\nAnswer: m**(-17\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -57973498, -115946999, -173920500, -231894001?\nAnswer: -289867502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of p**4\/24 - p**3\/6 + 10*p**2 + 3. Give b(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*k = 16*k + 243. What is the remainder when 1445 is divided by k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -7993292, -15986592, -23979892, -31973192, -39966492, -47959792?\n\"Answer: -7993300*y + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4582, 4579, 4562, 4525, 4462?\nAnswer: 4367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (8\/(-6))\/((-34)\/(-255)). Let k(j) be the first derivative of j**4\/4 + 3*j**3 - 5*j**2 - 6*j + 1889. Determine k(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 15) to base 9\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 + -32 + (104283 - 1\/1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - -9. Let i = 35 + -12. Calculate the remainder when i is divided by x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -69.041 + 69. Let x = -0.059 + s. Which is the closest to x? (a) 5 (b) -5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of -q - q**2 + 2 - 2\/3*q**3. Let h(p) = p - 4. Let s be h(2). Determine z(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -263 + 263 = -4*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -15.7 and -714901?\nAnswer: 11223945.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - -35*(-72)\/1260.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3*192.61642\nAnswer: -577.84926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9)\/(324\/(-112)) - 3. Let n = 6\/17 - 8\/119. Suppose -g - g = -5*h + 19, 0 = -g + 3. Which is the nearest to 2? (a) w (b) h (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 24*n - 2558. Calculate h(106).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -k**2 - 3 + 6 - 7*k + 0*k**4 - k**4 in the form o*k**3 + i*k**2 + j*k + n*k**4 + a and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b + 0*b - b + (94 + 263 + 201)*(-3*b + 4*b + b) to z*b + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 PM and 3:57 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 + 13*t + 10 as j + h*t and give h.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0*j**5 - 4*j**5 - 6*j**5 - 6*j + 817*j**2 + 4*j + 16*j**5 + 73*j**6 wrt j.\nAnswer: 8760*j**3 + 360*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*d**5 - 1671*d**3 + 39187*d wrt d.\nAnswer: 160*d**3 - 10026*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*r**2 - 89 + 126*r**2 - 68*r**2 + 29*r.\nAnswer: -3*r**2 + 29*r - 89","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 59 = -4*k, 5*k + 41 + 279 = 4*z. What is the least common multiple of 3 and ((-72)\/60)\/((-6)\/z)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 236938064?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnvnllnnnnlnvlv. What is prob of picking 2 n?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-six fifths of a microgram?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 109863, 109891, 109933, 109989, 110059, 110143?\n\"Answer: 7*z**2 + 7*z + 109849","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3441145.\nAnswer: 5, 23, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*m + 107*m - 3*j = 11, 4*m - 2*j = 14 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/254 and -62\/117381.\nAnswer: 29814774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 64688*d + 323248. Give i(-5).\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2485623\/286 < -8691?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 58 - 109. Let x = -103\/2 - m. Which is the nearest to -2\/5? (a) 16 (b) x (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -197, -767, -1717, -3047, -4757, -6847?\nAnswer: -9317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o - 403*o**2 - o + 405*o**2.\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 20 = -5*k + 33 + 31, -3*k - o + 32 = 0 for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/3 (b) 3\/4 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 3, y + 4 = -3*x + 13. Solve -2*m + 5*h - x*h - 9 = 0, -2*m - 4*h = -12 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 196 = -4*w. Let o = w - -47. Let k(v) = -v**3 - v**2 + 4*v + 6. Let r be k(o). Solve 0*h = -r*h + 10 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = p - 4*k - 15, 3*p = -k + 2. Let g be ((-10)\/50)\/(p\/6). What is the nearest to -0.7 in 1, 1\/9, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 2*f + 3*f. Is f not equal to -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-493 - -480) + -7 + 2?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4610 and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 17.44, 0, 6, -2, -14, -0.4?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 55 + -105. Let v = -41 - i. Let o = 554 - 538. Calculate the least common multiple of v and o.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/6 - 4973266*x\/3.\nAnswer: x*(x - 9946532)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.39 + 0.427. Let s = 0.03699947 - v. What is s rounded to 7 decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**5\/3 - b**4\/3 - 11*b**3\/3 + 3*b**2 + 6*b = 0. What is b?\nAnswer: -3, -1, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 4118.1 to the nearest one hundred.\nAnswer: 4100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from deihg. Give prob of sequence ih.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -213 - -215. Solve p*q = -q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -927, -929, -933, -939?\n\"Answer: -o**2 + o - 927","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*r = -r - 184. Let t(u) = 65*u**3 + 45*u**2 - 45*u. Let z(o) = -3*o**3 - 2*o**2 + 2*o. Give r*t(w) + 90*z(w).\nAnswer: -10*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 162534 + -86231. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142 = -5*p + 3*g, -34 = 3*p + 14*g + 5*g - 36 for p.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 798 and 7866?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 471*h. Let k(i) be the third derivative of i**5\/20 + 432*i**2. Determine k(x(m)).\nAnswer: 665523*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -19, 5, 0.3, 0, 3, -245?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -23, 0.0528908, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -1 + 6 - (-31 + -135)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (-3 - -3 - -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 165542326 to the nearest integer?\nAnswer: 12866","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -40 - -43 - (1 + -19)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (-2 + (6 - -4)) - (-1 + -2).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 34329 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 j when three letters picked without replacement from {n: 4, x: 4, j: 6}.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 426189 and 14?\nAnswer: 5966646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/1 - 8\/12. Let y(s) be the second derivative of 1\/15*s**6 + 2*s - 3\/10*s**5 - a*s**3 + 0 + 1\/2*s**4 + 0*s**2. Find q such that y(q) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2)\/h)**36\/(h*h\/(h\/((h*h**(-3\/19)\/h*h)\/h))*h\/h**(10\/7)*h*h))**11 assuming h is positive.\nAnswer: h**(-161535\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1597 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of -y**4\/4 + 5*y**3\/3 - 2*y**2 + 4*y - 3. Let c(q) = -3*q**3 + 10*q**2 - 8*q + 8. Let g(u) = -2*c(u) + 5*h(u). What is g(-6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-4*4\/8))\/(-1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 PM and 2:49 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 PM and 4:12 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 3 = -v. Suppose -92 + 584 = 3*x - 5*k, -5*x - k + 792 = 0. Suppose 46*f + x = 619. Calculate the least common multiple of v and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -6*x - 4. What is b(-3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 125.6 - 92. Let p = -34 + t. Sort -55, p, 1 in decreasing order.\nAnswer: 1, p, -55","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 887109326 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + q + 2 + (-q - 4*q + 4*q)*(-3 + 4 + 1) - 40 + 40 - 10*q to the form k*q + i and give k.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.56 times -3.7?\nAnswer: -13.172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/(s*s**(1\/6)))*s*s*s**(1\/3)*s*s*s**(-6)*s*s*s**(1\/7))\/((((s*s**(-1)\/s*s)\/s)\/s**(-2\/17))\/(s**(-8)*s**(-4)*s*s*s*s)) assuming s is positive.\nAnswer: s**(-1303\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 58*r - 4. Let l = 848 + -2229. Let t = l - -1439. What is the remainder when y(4) is divided by t?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2213*i - 331 = 2162*i + 10*v, -3*i - 53 = 2*v for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -59 (base 13) to base 5.\nAnswer: -244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/((-15)\/(-9)*(-96)\/32).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 divided by -970?\nAnswer: 23\/970","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/1095 and -61\/20805?\nAnswer: 20805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 1:04 AM?\nAnswer: 1:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -795.8*0.126\nAnswer: -100.2708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 12 = 2*h, -43 = 4*h - 9*h - q. Suppose 0 = -2*k - 3*k + 2*u + 98, -4*k + u = -76. Solve -h = -3*t, -3*w - t + k = 3*t for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*p - 28 = 224 - 60 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -150 + 150.5. Which is the smallest value? (a) i (b) -1\/4 (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 50 - 53. Which is the closest to -0.03? (a) 4 (b) -3\/8 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 9*o**2 - 24*o + 10. Let d(y) = 26*y**2 - 70*y + 29. Let a(h) = 17*b(h) - 6*d(h). Let v be a(3). Solve 2*k - 3*z = 2, -18 = -0*k + 4*k + v*z for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5628 - 911 = -325*w - 2108 for w.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6b5 + 1805?\nAnswer: 22ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 372 - 13*y - 195 + 38*y**3 - 177 in the form v*y + l*y**3 + k + w*y**2 and give l.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zznjzjznjnzajjznzn. Give prob of sequence jna.\nAnswer: 25\/4896","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 - 45*a - 491. Calculate r(-23).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*4*(2 + (-3*(sqrt(832) + -1 + sqrt(832)) - (1 + sqrt(832) + 3 - sqrt(832))))**2.\nAnswer: -1536*sqrt(13) + 479248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66 = -4*i - 5*t - 93, 5*t = -3*i - 24 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14730*c + 14741*c - 33 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -0.5, 17\/5, 7, 1, -12 in increasing order.\nAnswer: -12, -0.5, 1, 3, 17\/5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2*q**2 + 11*q + 6. Let n = -9 + 7. Let j(a) = -a**3 - 2*a**2 - 4*a - 2. Let v be j(n). Let t be x(v). Let y(z) = -z**2 + z - 8. Calculate y(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - -184?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2211?\nAnswer: 3, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 16 = 2*q, -3*q - 15*f + 13*f = -4. Find x, given that -26*x**3 + x**5 + q*x + 9*x**3 + 12*x**3 = 0.\nAnswer: -2, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of -7*z**6\/360 - 19*z**5\/180 - z**4\/9 + 2*z**3\/9 - 2*z**2 + 2*z. Let b(x) be the first derivative of u(x). Factor b(a).\nAnswer: -(a + 1)*(a + 2)*(7*a - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/420 and -107\/480.\nAnswer: 3360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*g**2 + 75*g**2 + 32 - 21 - 11.\nAnswer: 63*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4 and -20000695.3.\nAnswer: -20000699.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1491744 divided by 984.\nAnswer: 1516","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-9 - (-6 + 0)) + -3 + 8. Solve -d*k - 48 = -58 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 5*c = -45, -461*x - 15 = -460*x - 4*c for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.82135101 rounded to three decimal places?\nAnswer: 0.821","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 + -23. Let r be -3*-1*g\/(-6). Solve -5*h - r*f + 17 = 0, 3*h - 5*f - 4 + 16 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1046456 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -29 + -1 - (69 + -90 + 42)\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence auu when three letters picked without replacement from jkaukkmkkkmjkiu?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 159 - 96. Let p = u - 63.000074. Round p to five dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-21) - (-135109)\/91. Let b = 2253 - g. Is b a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10598 = -6*x + 57066 + 17564. Is 92 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4499, 4803, 5109, 5423, 5751, 6099, 6473, 6879?\nAnswer: 7323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 AM and 1:45 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 + 2 - (-98 - (157 - 54))?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 314016?\nAnswer: 2, 3, 3271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3881668.\nAnswer: 2, 7, 157, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 69 and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/z**(-2\/45))\/(z*z*z**(-20)))\/(((z**(-5)*z*z)\/z)\/(z*z**15)))**36 assuming z is positive.\nAnswer: z**(7028\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -13*b + 253. What is v(19)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2\/24 + (-37)\/12\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 289002 + -5 + 3 + 0. What is k rounded to the nearest 10000?\nAnswer: 290000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17*p**3 + 3*p**2 - 570*p.\nAnswer: -102*p + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3*-2*1\/(-3). Suppose u + 3 = r*u. What is the derivative of -24 + 21 - 6*w + u*w wrt w?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-4\/7)*x**(-15))**37 assuming x is positive.\nAnswer: x**(-3478\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.8 minus -127376?\nAnswer: 127373.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -4*b**3 + 47349508*b**2 - 94699004*b + 47349500 = 0.\nAnswer: 1, 11837375","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1018, 2061, 3102, 4141?\n\"Answer: -l**2 + 1046*l - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31, -44, -53, -58, -59, -56?\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 + 13. Suppose 10 - 2 = l*o. Find the third derivative of -19*f**6 + 4*f**o + 4*f**6 + 7*f**6 wrt f.\nAnswer: -960*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 6*z + 25 = 0. Calculate the remainder when (-141)\/(-15) + (-4)\/10 is divided by z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/1620 and 13\/60.\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50 = 7*n + 127 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -9*f - 2 + 9*f**2 + 2*f**2 - f**3 + 14. Is n(10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2196180 divided by 1494\nAnswer: -1470","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -1 - 2 - 925*k + 525*k. Is u(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 713175133?\nAnswer: 11, 47, 1379449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 8 + -18 - -7 - (-43 + 0)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 56 and 152.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-9)\/((-27)\/138)*6.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -655702 and -11.\nAnswer: 7212722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26 - 21. Solve -6 = -4*p - 5*g + 3, -2*p - o*g + 17 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*9329973\nAnswer: 2798991.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12\/(-28) - (-8)\/(-14). Suppose -9 = -2*q + c, q - 15 = -3*q - c. Calculate the smallest common multiple of 10 and q - a - (0 + -2 + -1).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 - 3*w**2 - 3*w - 7. Let i be l(7). Suppose -i = -4*g - 0*g. Is 21 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-70)\/(11550\/5)*-162?\nAnswer: 54\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110011000001010 + 1010?\nAnswer: 10110011000010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pupu when four letters picked without replacement from kuuzpsuuuuppuuuzuu.\nAnswer: 11\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25 and 4865900?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -40\/189 and 99\/5824?\nAnswer: 157248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 9*j**3 + 11*j**3 + 2 as i*j**3 + q*j + a*j**2 + c and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (90\/165)\/((-8)\/264).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 1. Suppose r - 6 = -4*u + t*r, u + 4*r = 15. Solve 6 = u*l - l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 divided by 1113.\nAnswer: -10\/1113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 694 - 330. Suppose 2*i - 3*i + 1 = -q, 5*q - 2*i + 2 = 0. Suppose 4*a = -q*a - 2*n + 1506, -a - 3*n + f = 0. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1086994?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, e: 2}. What is prob of sequence eqe?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 921 divided by 9377.\nAnswer: 921\/9377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b4b91b9 - -5?\nAnswer: b4b9202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*h + 116 = -8*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -11*i**2 - 770*i + 2. Let k be f(-70). Solve u - 2 = 0, 3*q + 0*u + 7 = k*u for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/2))**(-4\/9)*g**(-3)\/g*g**(-1\/6)\/g assuming g is positive.\nAnswer: g**(-97\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10944 and 576.\nAnswer: 10944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 775140 rounded to the nearest 1000?\nAnswer: 775000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44749759?\nAnswer: 44749759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44 - 10 - 13 - 9.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zs when two letters picked without replacement from nzzztznnznnnzzzsn?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 735*x + 259261. What is k(-353)?\nAnswer: -194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -51 + 49. Let p be -72 + 0\/t - (3 + -3). Let b = 5 - p. What are the prime factors of b?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 14 - 20)*(1 - 1 + 1)*(2*d - 5*d - 6*d).\nAnswer: -18*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-85 - (-77 + 20)) + 62?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 1)*(18501*y + 18745*y - 40491*y).\nAnswer: 6490*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33, 75, 125, 183, 249, 323?\nAnswer: 405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 282\/24 - 14 - (3\/(-12) + -1). Let f = 0.1 - 0.1. Let n = 0.1 + f. Put -0.1, p, n in decreasing order.\nAnswer: n, -0.1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -3*d + 26. Let q be (-8*1\/5)\/((-4)\/20). Let c be w(q). Suppose -o - 2061 = -c*o + 5*r, 8206 = 4*o - r. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9*131\/(-18)*(-19)\/(38\/4)?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/8*((-18)\/1863)\/((-29)\/((-1566)\/(-48)))?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 5*g - 77 = 0, -435*q + 437*q - 2*g - 114 = 0. Let o = 18 - 9. Calculate the remainder when q is divided by o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = -5*v - 21, 0 = -2*v - 2*v + 4*d + 12 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to 2\/24580801?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 0*d**2 + 6*d**2 - 4*d**2 + 3*d - d**2. Let j be c(-4). Solve g = 2*s - j, 24 = -2*g + 4*g + 4*s for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 6 - 31. Let t(j) = 3*j**2 - 4 + 27*j + 4*j**2 - 32*j + 0 + j**3. Let y(h) = -h**3 - 4*h**2 + 3*h + 2. Calculate v*y(z) - 3*t(z).\nAnswer: 2*z**3 - z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3621142, 7242376, 10863610?\n\"Answer: 3621234*w - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 21061*r**2 - 9*r - 3. Let c be p(-13). Let b = c + -5359423. Round b to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7236.86871427 - -0.88141427. Let t = 7235.54730041 + f. Let b = t + 0.44. What is b rounded to 7 decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -66*z**2 + 3*z - 25 - 4*z**3 + 67*z**2 - z**2 as m*z**2 + f*z**3 + s + c*z and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 13355 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -85.76364 - -83.162. Let j = i - -2.6. What is j rounded to 4 decimal places?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 4*g - 97. Let t(y) = -4*y + 102. Calculate -6*o(s) - 5*t(s).\nAnswer: -4*s + 72","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((161\/(-28))\/23)\/((-1)\/(-28))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = 11*j - 349. Let o be (-5 - j\/(-6))*12\/(-14). Sort 2, o, -3\/5 in increasing order.\nAnswer: -3\/5, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -23432 and -9.8?\nAnswer: 229633.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 + 7*z**2 - 8*z + 8. Let v be u(6). Let r be v\/6 - (-2)\/3. Suppose 0 = 4*k - 3*k - 6. Solve r = -k*i + i + 5 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 + w**2 + w - 7. Give b(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1285827?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 240.5 - 240. What is the nearest to -1\/3 in 1, -76, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 28 and 133?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -823480329 and -0.5?\nAnswer: 823480328.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 - 4*j + 2. Let i be s(4). Suppose -i*k = 4, -120 = r - 4*r + 3*k. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114525684 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 26503891451 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2380 is divided by 159?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 2*k + 78. Let h = 170 + k. Suppose -i = 3*i + 5*o - 143, 4*i + 4*o - h = 0. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 42063*p**2*t**2 - 5*p*t**2 - 13531*p*t wrt p.\nAnswer: 84126*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-388)\/(-450) + -26 + (-408)\/(-16) and -107\/1350.\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 + 14*a**2 - 13*a + 4. Let q be n(13). Let t be (5\/q)\/(1\/36). What are the prime factors of t*3\/(-18)*-2?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -30 + 58. Let d = 32 - s. Solve d*k = 2*f - 4, 3*f + 1 = 3*k + 10 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -7*q**2. Let a(l) = 56*l - 1475*l + 47*l + 160*l. Determine b(a(k)).\nAnswer: -10282608*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2353 - 10?\nAnswer: -2403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 1112 = 430. Suppose 4*z + 289 = v, z = -2*v + 321 + k. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -7\/3, -1, -0.1, 1\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.5976729 + 0.0027971. Let b = 3.29 - -0.31. Let y = w - b. Round y to four decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1050793789 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 196*y + 3*l = 197*y - 11, -2*y - l = -8 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*j - 9*j + 2*j + 4*j.\nAnswer: -10*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11040, -22047, -33056, -44067, -55080, -66095?\nAnswer: -77112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 + -6 - -3)\/2. Suppose r = -5*i + 193 + 452. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uj when two letters picked without replacement from ufuuuufuuuj.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.22 + 0.02. What is the nearest to 3\/7 in -1\/4, l, -3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9\/(-2)*8\/(-12). Let k be (-8*l)\/3 + 4. Suppose -2*f + 2*y = -3*y + 20, 2*f + 6 = -2*y. Sort k, f, 3.\nAnswer: f, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6 + 3786176?\nAnswer: 3786170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -157\/25865742 and -91\/5448.\nAnswer: 103462968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 87 (b) 0 (c) -3\/5 (d) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 5*f - 4, 1 = -5*v + 3*f - 7. Let k be 238\/2 + v - -1. Round k to the nearest 10.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 - 7*b - 17)*(2*b + 0*b**2 - 3*b**2 + 4*b**2).\nAnswer: -7*b**3 - 14*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 3\/2, -0.3?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = o - x - 1, -x + 4*x = -19425*o + 19415*o - 3 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sc when two letters picked without replacement from {x: 5, c: 1, z: 7, s: 1}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -37\/4, -0.00123, -10, 2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 + 8*p - 13. Let d be l(5). Let r be (-5)\/d + (-4)\/(-24)*34995. Round r to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2*j**3 - 103*j**2 - 890*j - 25. Determine f(-40).\nAnswer: -1225","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 60, -980?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.3, 2\/5, -2\/3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36.6, -0.08, 2\/7, 8\/7, 0, -0.2 in descending order.\nAnswer: 36.6, 8\/7, 2\/7, 0, -0.08, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9667421 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 45\/12*44\/33. Let g = -20\/23 - -54\/115. Which is the second smallest value? (a) 2 (b) s (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 53.4 - 50. Let u = d - 5.4. Which is the nearest to 0.1? (a) u (b) 1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of y**5\/60 - y**3\/3 + 2. Let l(j) be the third derivative of m(j). Let a(s) = 3*s. What is a(l(q))?\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - 2.3. Let r = 0.29 + p. Let x = r + -0.59. What is x rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - 86) + -6 + 9. Let k = 378 + d. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5*11\/110)\/((-27)\/2646).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of -u**3\/3 + 155*u - 2. Let b(h) = -37*h**2. Calculate b(d(m)).\nAnswer: -148*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (0 + -2 - (10 + -10))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -1 + -12 + 8 - -2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2041959, 4083924, 6125889?\nAnswer: 8167854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 - 5*q**2 - 2*q + 1. Let t be ((-293)\/(-4))\/((-7)\/(-28)). Let x = -297 + t. Give i(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/51 + (-91250)\/(-2125). Solve -b*u = -28*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118269253.\nAnswer: 2503, 47251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26 + 28. Let t = -8 + 13. Let a(j) = -q*j**2 + 3 + 4*j**2 + 4*j**2 - j**3 + 5 + t*j. Calculate a(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1650498457 - -33018285619\/20. Let a = l + -415705. Let w = -120 + a. Find the common denominator of w and 79\/18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttsststt. What is prob of sequence ssst?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1 + 0. Let k = 52598\/15 - 210377\/60. Which is the nearest to q? (a) -2\/7 (b) k (c) 9 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 4*t**3 + t - 4. Let s(q) = 20*q**3 - q**2 + 4*q - 22. Calculate -2*s(d) + 11*z(d).\nAnswer: 4*d**3 + 2*d**2 + 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 4*d**2 + 5. Give g(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -26 - 2001\nAnswer: -2027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1208 = 38*m - 42*m. Let r = m + 302. Solve -3*c - 1 = -2*p - 9, -3*c - 4*p - 16 = r for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 5*h - 10, -3*h + 1 = y - h. Let c = -8\/13 + 29\/26. Solve -6*p**2 - 32 - 24*p - c*p**y = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.7 (b) -5 (c) -1.6 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -f*k**2 + 266*f*k*n - f + 13*k**2*n - 160*k**2 + k*n**4 + 2 wrt n?\nAnswer: 266*f*k + 13*k**2 + 4*k*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -4*n**3 + n**3 - 9*n**2 + 10*n**2 - n. Let p(h) = h**3 + h. Let s(q) = -4*p(q) - 4*z(q). What is the third derivative of s(c) wrt c?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 10*v**2 + 5. What is o(4)?\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t**(-4\/5)\/t))\/t**(-2))\/((t*t**6)\/t**(-3\/7)) assuming t is positive.\nAnswer: t**(-92\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4737 (base 10) in base 2?\nAnswer: -1001010000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5842119?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 24628?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-3))\/((-18720)\/832)?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 + 2)*(-2 + 2 + 1) - 2 + 4 - 1 - 3 + 5 - 3 + 0 + 3 - 2 + 0 + 0 - 1 + (-5 + 1 + 3)*(2 - 3 - 1) + 0 - 4 + 2 + 2 + 5 + 11)*(-t + 7*t - 4*t).\nAnswer: 40*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6080 by -8.\nAnswer: -760","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + 5*n + 0*n)*(-4*n**3 + 2*n**3 + 4*n**3) - n**4 - 4*n**4 + 3*n**4 + 3 + 2*n**4 - 3 + (0 - n + 0)*(3*n**3 - 5*n**3 + n**3) + 3 + 2*n**4 - 3.\nAnswer: 11*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = -5*c + 4*v, -2*v - 1 = -3. Solve -12*r - c*r + 28*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -179 + 179 - 36*w**3.\nAnswer: -36*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3054 - 3062. Which is the third smallest value? (a) 15 (b) -4 (c) p (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 7}. What is prob of sequence fff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*d - 46*d + 24 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4 - -1)*1 - (-19 - -22). Suppose -111157 = -5*v + 4*q, 44443 = o*v + 10*q - 5*q. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = -4, -4*n = 5*i - 14 + 5 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, z: 7, t: 8, u: 3}. What is prob of picking 2 u?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10623 is divided by -7 + 19 + 4 - (-6 + 4 + -5).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 6*p + 3*p + 62, 5*y + 60 = 5*p. Let a(f) = -4*f**2 + 5*f + 3. Let x(n) = 7*n**2 - 12*n - 5. Let h(j) = -11*a(j) - 6*x(j). Does 30 divide h(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 477434236?\nAnswer: 2, 37, 3225907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -169.2 + 154. Let s = -14.7 - n. What is the biggest value in s, 0.1, -6, 0.2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 7) to base 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 - 8*p**2 - 15*p - 14. Let w be f(-6). Suppose 5*o - 27 = -b, -b + o - 3 = -w*o. Which is smaller: b or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 105*a. Let m(b) = 3*b**2. Calculate m(t(f)).\nAnswer: 33075*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288) + -2)**2 + (sqrt(288) + sqrt(2) + sqrt(2) - sqrt(2)).\nAnswer: -35*sqrt(2) + 292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5215 and 280120.\nAnswer: 745","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 + (2\/1 - -1). Let q(r) = r**2 - r + 2. Let d be q(t). Let 0 + 2\/3*p**d + 2\/3*p**4 + 0*p - 4\/3*p**3 = 0. Calculate p.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -233 = -7*f - 34*f + 587 for f.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, k: 1, z: 3, f: 2, l: 2}. Give prob of picking 2 f.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 305.02 - 305. What is the nearest to -0.1 in 1\/3, k, -3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -5*q**3 - 4*q**2 - 2*q - 2. Let n(p) = p**3 + p**2 + p + 1. What is -2*n(f) - z(f)?\nAnswer: 3*f**3 + 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vivgyvsgszzvis. Give prob of sequence yg.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 209 is divided by 68?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 3*z - 3741 = 0, 0 = 2*w + 3*z + 2078 - 4571. Calculate the greatest common divisor of 468 and w.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100065.\nAnswer: 3, 5, 7, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -29, -81, -159, -263, -393?\n\"Answer: -13*h**2 - 13*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g + 0*g + 92*g**2 + 3*g.\nAnswer: 92*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -196*g**2 + g. Let r(w) = w**2 - w. Give q(o) + r(o).\nAnswer: -195*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 3720774?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 + u - 1. Let m(i) = -8*i**3 - 4*i + 4. What is -5*m(d) - 20*z(d)?\nAnswer: 20*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -46*j**2. Let v(y) = -28*y. Give q(v(o)).\nAnswer: -36064*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/38? (a) -1\/3 (b) -1\/2 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21569507321 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -3*h**2. Let m = -4 - -9. Suppose -2*n + 6*n - 6 = 3*i, 5*i - 19 = -3*n. Let s(w) = w - m*w + i*w**2 + 4*w. Give y(s(z)).\nAnswer: -12*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3839922 to the nearest integer?\nAnswer: 1960","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*r**3 - 60*r + 900.\nAnswer: 6*r**2 - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2604*j**6 - 1317*j**5 - 3*j**3 + 4548*j**2 - 40*j - 4 wrt j.\nAnswer: 312480*j**3 - 79020*j**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 95 - 105. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 7*b - 1. Let f(a) = -13*a + 2. Let q(y) = -6*f(y) - 11*h(y). Suppose d - 28 = -12. Suppose -5*o = -3*k - o + 31, -4*k + d = o. Calculate q(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jfnunuiufjjijuujiju. Give prob of picking 1 i, 1 j, and 1 u.\nAnswer: 36\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 11*w**2 - 20*w - 6. Let l(u) = 33*u**2 - 59*u - 17. Let i(t) = 6*l(t) - 17*o(t). Let k(r) = -7*r**2 + 9*r. Let h = 46 - 41. Give h*i(p) + 8*k(p).\nAnswer: -p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2506, -2508, -2510?\nAnswer: -2512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 4*f + 622, -1 = -3*f + 2*f. What is the hundreds digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -101251204 - -5?\nAnswer: -101251155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6493 divided by 800.\nAnswer: 6493\/800","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 182 (b) -124 (c) -5 (d) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 - 8. Solve -b*y - 16 = -4*u, 4 = 2*y + 3*y + u for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2*y**3 - 5*y - 1. Let b(q) = 202*q - 201*q + 2 + q**3 - 1. Suppose 2*x = -6 + 4. Calculate x*h(a) - 3*b(a).\nAnswer: -a**3 + 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + k = -27985, -3*u - 177*k = -182*k - 20976. Does 78 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide -3*5\/(-3) + 149?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -74*w - 3*w**2 - 5*w - 53*w = 0?\nAnswer: -44, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4134041?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -3*z + 8. Let o(t) = 47*t - 9. What is -2*o(d) - 3*v(d)?\nAnswer: -85*d - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -4620 times -1.2\nAnswer: 5544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 24*l - 7. Let k(f) = -2*f**2 - 18*f + 6. Let y(i) = -4*k(i) - 3*s(i). Let w(v) = 4*v + 0*v - 3*v. Calculate w(y(j)).\nAnswer: 8*j**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 17011 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -56 - -55.7. What is the second smallest value in 1, 2, r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -9*g. Let m = -7 - -1. Let z(d) = 26*d + 1. Let h(l) = m*z(l) - 17*r(l). What is the remainder when 25 is divided by h(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2\/227 + 243\/1816. Let n(g) = -5*g + 4*g - 10 + 10 + 13. Let s be n(18). Which is the smallest value? (a) s (b) w (c) 0.14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 2*n**5 + 5509628*n**4 + 3794560692480*n**3 + 83477668595904*n**2 = 0.\nAnswer: -1377396, -22, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1580714943 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -13*f**3 - 11*f**2 - 2. Let x be 76\/266*(-8 - -32 - 3). Let d be (1 - -10)\/((-3)\/3). Let k(h) = -7*h**3 - 6*h**2 - 1. What is d*k(c) + x*g(c)?\nAnswer: -c**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-32)\/12 + 2)*225\/(-250).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 12000 = 5*s, 2*a + 4782 = -2*s - 2*a. Let l = -21575\/9 - s. Solve 20\/9 + l*d + 2\/9*d**3 + 16\/9*d**2 = 0 for d.\nAnswer: -5, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6 + (-4 + -5 - -6). Solve 3*s + 5*a - 10*a - 28 = 0, w*s = a + 8 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((5 - 3) + -3)*(-3 + -8). Solve -10 = 2*i, -3*v - i - t = -0*i for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*l - 37184 = -74697 + 36793 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, -422 in decreasing order.\nAnswer: 0, -3, -422","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17821?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*a**4 + 2*a + 2*a**3 - 7*a**4 + 3*a**2 - 5*a**3 to the form y + t*a**4 + h*a**3 + j*a + r*a**2 and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -860 + 852.34. Let p = -0.34 + x. Let c = p + 7.6. Put c, -2, 0.3 in descending order.\nAnswer: 0.3, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 - 19*q**2 + 22*q - 70. Let t be y(18). Factor -4*x**t + 20*x + 61 - 6*x**3 - 27 + 2*x**3 - 46.\nAnswer: -4*(x - 1)**2*(x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 0 + ((-6 - -100) + -20 - -23 - 17)\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -0*h - 7*h, -h - 50 + 25 = 5*k - 53 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 326 = -5*l, 3*l - 4*h = -3*h + 182. Let v = l - 59. Solve 2*g + v*g - 25 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 70, 126, 182?\n\"Answer: 56*p + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 - 6*b**2 + 9*b + 2. Let l be u(4). What is the hundreds digit of 711\/l - (-18)\/12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 312757 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one quarter of a microgram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2524 <= 133696\/53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1 - 6) + -1 - -3) + (-11 - -14)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 6893.194185 to the nearest 10.\nAnswer: 6890","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 k when two letters picked without replacement from kxvvvvtttv?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*t + 38 + 47 = 0. Let y = -1 - -6. Suppose -3*a + 5*c = 18, -2 - 2 = -y*a - 3*c. Sort -5, a, t in decreasing order.\nAnswer: t, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-37)\/(-7) + (-4)\/14?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -10. Let m be 3\/9 - (-10)\/d. Factor -5\/4*n - 1\/2 + 5\/4*n**3 + 1\/2*n**m.\nAnswer: (n - 1)*(n + 1)*(5*n + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000827481 to 6 decimal places.\nAnswer: -0.000827","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*z = -37*z - 4*r + 9, -5*z + 3*r + 2 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = d - 2. Suppose i + 4 = -2*t + 24, d*t - 21 = -i. Let o(w) = w**3 - 6*w**2 + 3*w - 8. What is the remainder when i is divided by o(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h**4 + h**2 + 2 - h**3 - 5*h**3 + 10*h**3 - 7*h**3 to the form z*h**2 + g*h**3 + f + v*h**4 + c*h and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 2 = -2*v, b + 0*v + 3*v + 3 = 0. Suppose 0 = 5*m - 0*m - 10. Solve -m*g - 2*g - 26 = -b*a, -15 = 5*a + 5*g for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 30 + 26 - n**2 - 50 - n. Let a be l(2). Solve a*q = -2*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*x + 0*x + 9058*x**3 - 18116*x**3 + 9056*x**3.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 92 and 48108522?\nAnswer: 2212992012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 41480461?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3414 is divided by 1138.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -21*f**2. Let d(b) = -2*b + 70034. What is d(z(o))?\nAnswer: 42*o**2 + 70034","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u. Let b = -1731 + 1733. Let w(v) = 2*v + 1. Give b*w(o) - 3*g(o).\nAnswer: o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1 + -0.1. Suppose 5*i + 57 - 82 = 0. What is the second biggest value in -5, l, i?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 906*r - 139072. Determine a(153).\nAnswer: -454","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, -19, 3.\nAnswer: -19, 1\/6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ruuuuduuudpudddrup. What is prob of sequence drpr?\nAnswer: 1\/3672","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -38192 (b) 0.1 (c) 4 (d) 13\/2 (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, 11 in increasing order.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 368 and 4508.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15357 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzddzdddzzdddzdzzz. Give prob of sequence ddzz.\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -7 + 4 - 3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -663*g**4 + 5*g**3 - 9668*g.\nAnswer: -7956*g**2 + 30*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48 + 210*n**3 - 48.\nAnswer: 210*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 55\/44*(-12)\/(-10).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x + 8. Let k be y(0). Let u be 107*(2 - (1 - -2)). Let v = -75 - u. Calculate the greatest common divisor of k and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = -4*b - 304, 7*b - 4*t + 8*t + 2*t = 5*t - 541 for b.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 888927 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of 1457*i**2\/2 - 480*i - 1989. Differentiate z(b) with respect to b.\nAnswer: 1457","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 - 87 = -7*o. Let d be (-1)\/(-2 + 1) - -2. Suppose o = d*h + h. Solve -3*y + 2 = h for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of -x**4\/6 + x**3\/2 + x**2 - 7*x. Let r be l(5). Let t = 42 + r. Calculate the remainder when 35 is divided by t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 - 24*p**2 + 255*p - 2. What is c(8)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-72)\/(-1404))\/(3\/13)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 66 + -25. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.9 - 6. Let t = 0.1 + o. Let y = 3.2 + t. What is the third biggest value in y, 1\/2, 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6\/5 (b) -7 (c) 1\/8 (d) 1\/2 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-394446)\/(-3) - (-11 + (-8 - -15)))\/2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 + -8. Suppose -3*b + 6 = -o*b. Suppose 3*n - b = n. Solve 12 = n*u - 4*p + 2, 4*u = -5*p + 3 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (222*b**2 - 554*b**2 - 115*b**2)*(-21 + 22 + 46) to the form a*b + u*b**2 + x and give u.\nAnswer: -21009","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = -2*u + 43, -63663216*u + 63663220*u - 46 = 2*d for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -527260 to the nearest ten thousand.\nAnswer: -530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2*h**2 + 118139*h + 708759. Determine r(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.10324 to three decimal places.\nAnswer: 0.103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gq when two letters picked without replacement from {z: 1, q: 1, a: 5, l: 1, g: 3}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-32)\/(-20) - (-1 + 2). Let i = -26 - -29. Which is the closest to -1? (a) 4 (b) i (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7094137573 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 3*y**2 + 5*y. Let x = 26 - 25. Let q be (x + 1)\/((-1)\/3). List the prime factors of m(q).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 267, 1035, 2309, 4089, 6375, 9167, 12465?\nAnswer: 16269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 m when two letters picked without replacement from aaaaamaaaaammmma.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -3.4. Let z = 1.58 - q. Let h = 0.02 + z. What is the second biggest value in 5, h, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -332 - 26*k**2 - 31*k**2 - 2*k - 7 + 34 wrt k?\nAnswer: -114*k - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/(-50))\/((-5)\/(-25)). What is the second biggest value in 2\/11, c, -0.3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 13*w - 2.\nAnswer: 13*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 0*z = 0. What is the third derivative of 2*y**3 - 2*y**2 + z*y**2 + y**2 wrt y?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31826497709 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 - 4*f**2 - 5*f + 3. Let n = -489 + 492. Give o(n).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_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: Does 14 divide 12152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*i**3 + 0*i**4 + 0*i**3 - 445*i**2 - i**4 - 1 - 14*i**3 in the form o + y*i + t*i**3 + j*i**4 + c*i**2 and give c.\nAnswer: -445","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128*k - 44*k + 5626 + 2739 = 637 for k.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6 - -11) + 3\/(-12)*-4. Suppose q + 2 = 0, 2*s - 5*q - 6 = b*s. Which is smaller: s or -1\/210?\nAnswer: -1\/210","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 1226*w + 500231. Give f(-408).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 39*z**2 - 9*z - 8. Let c(b) = -41*b - 4. Let o be c(2). Let r = -87 - o. Let i be f(r). Solve 0 = 4*j - 5*l - i, 6*j - 8 = 2*j - 3*l for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -80792145?\nAnswer: 1\/26930715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -18*u - 520. Calculate j(-32).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (7 - -3) + 5 + -1.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7503 or -592843\/79?\nAnswer: -7503","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8220562 to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -8*z + 157. Calculate the smallest common multiple of 117 and f(5).\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16800 by -105.\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -37 - -23. Let m be ((-16)\/i)\/(13\/26). Solve 0 + 24\/7*k**2 - 12\/7*k**3 - m*k + 2\/7*k**4 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 + 46*b - 435. Determine f(8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 8) to base 9\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7713400 = 44*y + 85*y + 2887639. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*343951.\nAnswer: -1031853","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*f**2 - 253 + 251 - f**2 + 0*f**2 + 6*f to the form b + j*f + o*f**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3428799 * 4.9.\nAnswer: 1.68011151","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -160 divided by -32.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12 + -64?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*q**2 + q - q - 3*q + 4*q as b*q + u*q**2 + y and give u.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1935145112 to the power of 1\/3, to the nearest integer?\nAnswer: 1246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 192620339 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-4) - 3\/(-2). Let w(i) = -i**2 + i. Let m be w(t). Is m - -2 - -1*26 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 98529, 394130, 886807, 1576566, 2463413, 3547354, 4828395, 6306542?\nAnswer: 7981801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = 3*m + 11, 2*g + 19 = 2*m - 7*m for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2320*h**3*o**3 + h**3*o**2 + 3*h**3 - 2*h**2*o**3 + 2*h**2 + 60*h*o**2 wrt o?\nAnswer: 13920*h**3 - 12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 + i. Determine x(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -610 = -7*p + 90. Let u = 123 - p. Calculate the greatest common factor of u and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 35 - 27. Suppose d - 14 + g = 0. Differentiate -8*a**2 - d + 4 - 1 with respect to a.\nAnswer: -16*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10)\/25 - 2\/(-5). Let n = 14 - x. Suppose -2*v + 7 = 3*a, -5*v - 2*a + n = 2*a. Calculate the remainder when 3 is divided by v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*h + 3*h - 2 = t - 2*t - 11 - 36, -4*h + 2 + 46 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1547684299?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 8*-1*(18\/(-54))\/(-8 - (-136)\/18)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t - 93*t**2 - 103*t**2 + 23*t**2 - 139*t**2 - 23*t**2.\nAnswer: -335*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2981*o. Let r(h) = 2*h**2 + 6*h + 42. Let u(a) = 2*a**2 + 5*a + 35. Let v(g) = -5*r(g) + 6*u(g). What is v(x(b))?\nAnswer: 17772722*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 137\/130 - -128\/13. Find the common denominator of -85\/6 and i.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 5:50 AM?\nAnswer: 9:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 divided by -3?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3059 (base 10) to base 6.\nAnswer: 22055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11700 - -86297.\nAnswer: 74597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2494472063 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 387 and 4?\nAnswer: 1548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(-7)*l)**(-38)*((l\/l**(-2\/13))\/l)**(-36))**(20\/9) assuming l is positive.\nAnswer: l**(-10040\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18720\/1248 + (-9 - -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*y**3 - 31 + 2*y - 33 + 39*y**2 + 67 + y**4 - 38*y**2 to d*y**3 + h*y**4 + z*y**2 + w + q*y and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*m + 20*m + 1 = 0. List the prime factors of 9\/3 - (-85 + m).\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -72*w + 3052. Calculate z(42).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17231 is divided by 729.\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-16)\/(-6))\/(-4)*36\/12. Which is the smallest value? (a) 119 (b) m (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1916.11 + 0.41?\nAnswer: 1916.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -104.94 + 196.2110468.\nAnswer: 91.2710468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 36522*a**4*f - a**4 - 7*a*f - 19*a - 36 wrt a?\nAnswer: 438264*a**2*f - 12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r - 4*r - 5*k + 33, -3*r = k - 33. Let s be 4\/15*r\/(-8). Let o = -0.01 - 2.99. What is the third biggest value in o, s, -4\/7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 16 = 3*h, -9 = 2*h + 5*v + 12. Suppose -h*g - 2*w - 10 - 10 = 0, -3*g = 5*w + 32. Which is bigger: -92\/11 or g?\nAnswer: -92\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -78 + 4*h - 8*h - 4*h + 57. Let n be d(-12). Calculate the highest common divisor of 15 and n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10624 + -10617.2205. Let l = h + -0.0515. What is l rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/75 (b) 2\/19 (c) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmzzmzmmmmmmmmmmmmmm. What is prob of sequence zmzz?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4158, -8107, -11640, -14547, -16618, -17643?\n\"Answer: 35*o**3 - 2*o**2 - 4188*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of -p**5\/70 + 16*p**4\/7 + 65*p**3\/7 + 14*p**2 + 31*p - 13. Factor f(a).\nAnswer: -2*(a - 98)*(a + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 + 4*q**2 - 5*q - 3. Let k(r) = r**2 - 16*r + 55. Suppose -2*a + 25 = 5*h, 3*a = -5*h + 14 + 21. Let d be k(a). Give v(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4891 + 2489 + 2402 + 2*i**2 - 19*i**3.\nAnswer: -19*i**3 + 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20 + -17. Let c(w) = 4*w**2 - 3*w + 3. Let k(d) = -4*d**2 + 2*d - 2. Determine v*k(f) + 2*c(f).\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -81735 - -122412. Does 273 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, -4, -2 in increasing order.\nAnswer: -4, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 4*k**2 + 9*k + 9. Let s = -38 + 47. Let m(x) = -2*x**2 - 4*x - 4. Calculate s*m(a) + 4*t(a).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*w + 3485 + 1816. What is the highest common divisor of 9 and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 19 = -6. Let m = 9 + -9. Let i = -0.1 - m. What is the biggest value in i, 2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -49*k**3*w**2 + 5*k**3*w + 54*k**2*w**2 + 3*k*w - 2*w**2 + 364 wrt w.\nAnswer: -98*k**3 + 108*k**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1847 times 0.4?\nAnswer: -738.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 39, 75, 111?\n\"Answer: 36*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 583112369*c**2 - 269140133*c wrt c?\nAnswer: 1166224738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30225, -30159, -30041, -29871, -29649, -29375?\nAnswer: -29049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t**9)*t)**(-8\/5) assuming t is positive.\nAnswer: t**(64\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1524?\nAnswer: 2, 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -6 - (6 + -10 + -5 + -4).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 5*l**2 - 3*l + 2. Calculate the remainder when 30 is divided by y(2).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0, -4, -231\/10, -2\/15?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79*b - 41*b - 38*b + b**2 + 90*b**3.\nAnswer: 90*b**3 + b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -3*z. Let v(j) = 4*j + 1. Let u(o) = 3*l(o) + 2*v(o). Let b be u(6). Let s(x) = 71 - 35 + 2*x + x**2 - 38. Give s(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 c when two letters picked without replacement from coctuotucocosc?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 1524256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 332901, 665784, 998677, 1331580?\n\"Answer: 5*g**2 + 332868*g + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28650 by -5.\nAnswer: -5730","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 - 3*q + 2. Let k be b(-3). Suppose 3*s + s - k = 0. Suppose 3*n = -9, -5*y - s*n - 5 + 310 = 0. Does 29 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -61, 6\/35, -2\/9 in decreasing order.\nAnswer: 6\/35, -2\/9, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, h: 3, s: 2, e: 4, d: 4}. What is prob of picking 1 h and 1 z?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3173 and -0.4.\nAnswer: -1269.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 821?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 - 16*p**2 - 11*p + 28. Let a be f(-15). Does a = -33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02766021161 to four decimal places.\nAnswer: 0.0277","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44\/12*(-13)\/(-13)*-3.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 309 = x, 0 = 5*q - 0*q - 4*x - 360. Is 30 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8*3*(-112)\/(-576)*(-1)\/(-287)\nAnswer: 2\/123","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g**3 - 70*g**2 + 340*g - 44. Calculate i(29).\nAnswer: -276","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*m + 3*m. Let x be 48\/20 - (-4)\/(-10). Let s be ((-1)\/(2\/(-4) - 0))\/x. Solve -s = -m*t + j + 7, -5*t + 14 = -j for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9\/733 - 769\/2932. What is the closest to -2\/3 in 3, -111, m, -4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7526 = 116*a - 64*a + 90*a. Calculate the remainder when a is divided by (-46)\/(-6) - (-2)\/6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.089078266 to two dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -38, -4, 3 in descending order.\nAnswer: 3, 0, -4, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22 - 12. Let r be 192\/t + (-5)\/25. List the prime factors of 4\/14 + r\/7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 236918?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -29642073 and 51027?\nAnswer: 29693100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lx when two letters picked without replacement from {l: 3, z: 2, m: 1, x: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1249 in -288, 4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 9:19 AM?\nAnswer: 12:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ilhhnnvinim. Give prob of sequence hi.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 - 4. Which is the smallest value? (a) 1\/10 (b) o (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(152)*2 - sqrt(152))\/sqrt(4))\/(1*(-2*sqrt(2) + sqrt(2))*5).\nAnswer: 3*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 34302853 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*f + 45 = 6*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 2 x, and 1 d when four letters picked without replacement from {y: 2, s: 1, x: 9, d: 4}.\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1456.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 6 + 5)*(-333*n + 443 - 443 + 486*n - 1940*n).\nAnswer: -7148*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(-4) + 10423\/(-84). Let b = 125 + d. What is the nearest to 0.1 in -0.4, b, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*w + 22925 = 795*w - 169*w for w.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/11 (b) 0.06 (c) 2\/115 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 - 6*r - 5. Let n be w(7). Suppose 0 = -2*h - u - u - 70, -3*h - 95 = -n*u. Let i = 38 + h. Put 2, i, 15 in ascending order.\nAnswer: 2, i, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-9)*g\/(g**(-19)*g))**(4\/9) assuming g is positive.\nAnswer: g**(40\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 812*k + 202*k**2 + 841*k - 1653*k to the form q*k + i + j*k**2 and give j.\nAnswer: 202","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 + 130*m**2 - 80*m + 6659. Give t(-131).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.0201 from -0.4.\nAnswer: -0.4201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v**3 - 6*v**2 + 6*v**2)*(-21593 + 21593 + 3*v) + (-3*v**2 - v**2 + 0*v**2)*(-3*v**2 + 3*v**2 - v**2).\nAnswer: 13*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**3 - 29315*l**2 - 293525*l - 734125.\nAnswer: 5*(l - 5873)*(l + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -245.000032 + 245. Round p to five dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, -20, 1, 437 in ascending order.\nAnswer: -20, -2, 1, 2, 437","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p**4 + 386*p**3 - 35673*p**2 - 304168*p - 620944 = 0 for p.\nAnswer: -4, 197","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j - 37*j + 10*j + (-4 + 0 + 5)*(7*j - 3*j - 3*j))*(3 + 1 - 1).\nAnswer: -66*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 949117?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3\/7 + 8896*m**2\/7 + 170040*m.\nAnswer: -2*m*(m - 4578)*(m + 130)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 13 + -1 + (77 - 88).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13663 = -18*h - 13807 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 136, 446, 1046, 2032?\nAnswer: 3500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*o + 4*o**2 - 41*o + 9*o + 107*o - 50*o.\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9251785 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)*3*3)\/(sqrt(225) - (sqrt(225) + (sqrt(225) - (sqrt(225) + -2*sqrt(225) + sqrt(225))))) - (-5 + (sqrt(325) + 0)*-2 + (sqrt(325) + 0)*-1)**2.\nAnswer: -2950 - 759*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*x + x - 2*x = 920 for x.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.34750172 times -3?\nAnswer: -1.04250516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 5 = c, 0 = 2*c - 3*p - 0*p + 7. Let o = -1094 - -10939\/10. What is the nearest to o in c, 2\/11, 2\/3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 + 5*t**2 - 16*t - 50. Let c be n(-7). What is the remainder when (-44)\/(-16) + -3 - 1629\/c is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-12 + -4))\/(-14 + 9841\/702)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 2:04 AM?\nAnswer: 9:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 55 + a9a6?\nAnswer: aa0b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 374053 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - 8412\/(-90)) + (-5)\/30 - (-63)\/(-210)?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -516*a + 2455 = 11480 + 4612 + 43123 for a.\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(84)\/((sqrt(96) - (sqrt(96) + -1*sqrt(96)))\/sqrt(8)).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (66\/(-9))\/((-6)\/(-9)). Let r(g) = -3*g + 4. Let z(p) = -16*p + 21. Calculate q*r(o) + 2*z(o).\nAnswer: o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 136761231?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 41 - 16. Let t = -292 - -302. What is the greatest common factor of t and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34913 to the power of 1\/2, to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2*x**3 - 14*x**2 - x - 12. Let z be b(-7). Put z, 4, 5, 98 in decreasing order.\nAnswer: 98, 5, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 - j**2 - j - 8. Let t be u(0). Let b be (25\/5 - 1)*-3. Let f be (-20)\/(-3) - t\/b. Solve 0 = f*o - o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 63 and 525.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*p + 183*p + 1 - 10*p.\nAnswer: 186*p + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.74 rounded to 0 decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 531?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2, -0.18, -1\/4, 0.5?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b and 1 z when four letters picked without replacement from {b: 5, a: 1, j: 1, z: 2}.\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2303\/8595 + 4\/191. Let n = 2\/45 + p. Let m = 1\/6 + n. Is 1\/3 >= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 - (-1 + -1 + -4) - -6\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -3*z**3 - 17*z**2 - 17. Let f(c) = -c**3 - 6*c**2 - 6. Give 17*f(k) - 6*s(k).\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*5\/(-35)*-7. Let j = -12 + 10. Let a be (-3 + 2 + -1)\/j. Sort n, a, 2 in increasing order.\nAnswer: n, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least -7\/49801348?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3747 - -29973\/8. Which is the second biggest value? (a) l (b) -1 (c) -2 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39781457?\nAnswer: 4871, 8167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 2*k**3 + 9*k**2 - 10*k - 16. Let c = 17480 + -17485. What is t(c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/5, 1\/3, -63, -1\/2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, 16\/5, 1\/28, -54 in ascending order.\nAnswer: -54, 1\/28, 3, 16\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 18 (b) -5\/13 (c) 10.855\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 3*x + 990 = -0*x, -3*x = 3. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-20)\/56*-4)\/(2\/14). What is the remainder when 19 is divided by 3 + 0\/(x - 5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1249041299?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 155\/106 + -1403\/742. Put -2\/27, d, -1\/3, -0.5 in decreasing order.\nAnswer: -2\/27, -1\/3, d, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2\/3 + 2938*t\/3 + 2157961\/3.\nAnswer: (t + 1469)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, s: 5, q: 4, t: 2, g: 2, f: 4}. Give prob of picking 1 s and 2 t.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 5*l - 54. Suppose -4*m - 13 = -l. Let i(w) = 26*w**2. Is i(m) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p - 2. Let a be t(-5). Let s(i) = 3*i**3 + 2*i**2 - 1. Suppose 3*n - 1 = 2*n. Let l be s(n). Solve -a*m = 1 - l for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -179*s = -103*s + 150*s - 3390 for s.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2187607.\nAnswer: 199, 10993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 != 181?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**3 + 151136*k**2 + 1427781780*k + 2854959048.\nAnswer: 4*(k + 2)*(k + 18891)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2, -56, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1461616 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15011?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-30) + ((-1062)\/135 - -12). Let u(t) be the third derivative of 0*t + 1\/48*t**j - 12*t**2 + 0 + 1\/24*t**3 + 1\/240*t**5. Factor u(o).\nAnswer: (o + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16240*x - 3500 = -16140*x for x.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 102 and 8466?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-16))\/w*w**21*(w**(8\/3)*w)**(-1\/43))**(2\/5) assuming w is positive.\nAnswer: w**(1268\/645)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 0.02, -1.4, -1\/48, 14, -0.2?\nAnswer: -1\/48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 6*o = -8*o - 5076, u + 4*o - 1278 = 0. What is the hundreds digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.6511 - 5.6511054591. What is k rounded to 6 dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36866 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of k**5\/15 - 7*k**2. Let f(n) be the third derivative of n**5\/20 - 3*n**2. Calculate f(o(d)).\nAnswer: 48*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 3*w + 12 = 0, 4*v + 5*w - 365 = -372 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36, -5, -3, 5 in descending order.\nAnswer: 36, 5, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 2814, 1, 1763 in ascending order.\nAnswer: 1, 1763, 2814","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11634*l - 11571*l + 509 = -373 for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*u = -18*u - 2496. What is the remainder when u is divided by 179?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 785634 to the power of 1\/2, to the nearest integer?\nAnswer: 886","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 3*l + 89. Let h be r(-27). Solve -v = -u + h, 4*v = -0*u + 2*u - 24 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5728 + 5734. Let x(q) = 2*q**2 - 7*q + 25. What is x(n)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 take away 44548?\nAnswer: -44542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddeqn. Give prob of picking 1 d and 1 q.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 9) to base 7\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 123 + -105?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4529 is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 PM and 9:05 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 16) to base 15.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22839906.\nAnswer: 2, 3, 211, 18041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 15.385, -0.03, -0.1?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 456 + -444. Suppose 0 = -3*d + k, -j + 11 = 4*d - 8. Solve x + j*x = -4*p - 36, -5*p = 20 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37645 divided by -424?\nAnswer: -37645\/424","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + 3)*(159\/81 + (-96)\/48).\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53452302 (base 6) in base 13?\nAnswer: 4331c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, -449.\nAnswer: -449, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12*a**3*r**3 + 19*a**3*r**2 + 5*a**3*s + 3*a*r - 2*a*s - 34*a - 2*r**3*s - 4*r**2 + 2162*s with respect to s.\nAnswer: 5*a**3 - 2*a - 2*r**3 + 2162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -1 + 2 - 3011*a + 0 + 1509*a + 3 + 1464*a. Let o(m) = 5*m**2 - 2*m**2 - 2*m**2. Calculate l(o(h)).\nAnswer: -38*h**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o + 12. Suppose -11*m + m + 370 = 0. Suppose m*f - 2*f - 140 = 0. Calculate the least common multiple of f and s(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*z + 13. Let u = -45.9 - -45.3. What is the nearest to -5 in z, 0.4, u?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 - 1. Is 6 a factor of (4\/t - -1)*6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 - 5*w + 4. Let c be f(5). Find the first derivative of -9 + z**c - 7*z**2 + 7*z**2 wrt z.\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ue when two letters picked without replacement from {u: 3, e: 1, l: 4}?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-79)\/(316\/72)*(-4 - 63\/(-15)).\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 8*x + 15. Let o be q(-6). Calculate the lowest common multiple of ((-2)\/(-3))\/(-1)*o and 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence br when two letters picked without replacement from rbrbr.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (28\/(12\/3))\/(5\/(-1000)*-5). Calculate the highest common divisor of 210 and b.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (2 - 5) - -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 22119012 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s + s - 3*s**2 - 5*s**2 + 10*s**2. What is k(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**3 - 321*b**2\/4 - 61*b + 81\/4 = 0.\nAnswer: -1, 1\/4, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 18196 = -4*q, -16*a - 13642 = -3*q - 14*a. Does 142 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 i when three letters picked without replacement from ivnviooovoovvvoov?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - 3. Let z = -15 + b. Calculate the remainder when 43 is divided by (-206)\/z - 2\/(-7).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*a + 1919186353 + 1466555867. Suppose 15854815 + a = -20*n. Round n to the nearest one million.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 100 - 803\/8. Suppose 141*c - 20 = 146*c. Let n = 6 + -3. Put n, 0, c, s in descending order.\nAnswer: n, 0, s, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*y - 15, 100*c - 5*y = 95*c - y + 47 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**4)**(-22) assuming t is positive.\nAnswer: t**(-88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 741753316 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48 and 3456?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -21034.\nAnswer: 1\/10517","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Is 5596946789 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 547*l**3 - 572*l**2 - 594*l**2 - 595*l**2 + 1761*l**2.\nAnswer: 547*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.6 and -9493.\nAnswer: 5695.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*f - 60*f**2 + 56*f - 102*f + 11*f + 11*f.\nAnswer: -60*f**2 - 12*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 3*h + 3 + 2, -2*t = -4*h. Let q be t\/8 + (-42)\/(-8). Solve s - 2*s**5 - 2*s**3 - s**5 + q*s**5 - s**5 = 0 for s.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l - 5. Let o be p(-5). Let h = 47 + -51. Put o, -5, h in ascending order.\nAnswer: -5, h, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 5*o - 25 = 0, -p + 7*o - 17 = 2*o. Let d be 5 - (2 - (-2 - p)). Solve -2*g + 3*v = 3*g - d, 2*g = -v + 10 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.607 + -0.107. Which is the fourth biggest value? (a) l (b) -5 (c) 0 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 494 is divided by 165.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*d**3\/9 + 34888*d**2\/9 + 15221632*d\/9 + 6083072\/9.\nAnswer: 4*(d + 872)**2*(5*d + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -71 - (22 + -28 - (31 + -14))?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 4*c**2 + 4*c - 4. Let w(r) = -r**2 - 3*r + 3. Let q(l) = 3*p(l) + 4*w(l). Let v(i) = 32*i**2. What is q(v(h))?\nAnswer: 8192*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1051*y + 2058*y + 5*y**2 - 1009*y.\nAnswer: 5*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6862 and 175930.\nAnswer: 8268710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of a**3\/9 + a**2\/3 + 4. Determine b, given that q(b) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/6288 and 83\/12912.\nAnswer: 1691472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -916844813256.209129 + 1218777.209129. Let f = 916843593852.999999659 + q. Let t = -626 - f. Round t to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2911*l + 18031 - 18032 - 41*l**2 + 40*l**2 to the form t*l**2 + p + k*l and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 + 3*a**2 + 7*a - 9. What is b(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -255 divided by 2\nAnswer: -255\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 14\/((-43)\/(903\/(-126)))\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 8) to base 9\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -82310280 divided by 5?\nAnswer: -16462056","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 210011 + -10?\nAnswer: 210001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3)\/(-4))\/((-1)\/(-264)). Suppose 5*a = 4*y - y - 242, 4*a - w = -2*y. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -204*w**2 + 3\/7*w**3 + 2847\/7*w - 1422\/7 = 0.\nAnswer: 1, 474","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1020 to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -392 - 24. List the prime factors of m\/(-18) - 2\/18.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 7:55 AM?\nAnswer: 12:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 + 4 = 11*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3*5\/(-15) - 1. Let k be u\/1*(0 - -1). Is k < 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*a**2 + 1 + 0*a**2 + 0 + 0 to x*a**2 + i*a + c and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -q + g - 3, -2*q - 1 = -5*g. Suppose 5 = -u + 5*s - 2, -q = -2*u + 2*s. Find z such that 0*z**u - 2\/7*z**4 + 2\/7*z**2 + 0*z + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 630 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kllkkzlkzkzl. Give prob of sequence klzk.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 306 and 3060?\nAnswer: 3060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -166 + 97. Let c = j - -72. Put -0.4, 0.16, c in ascending order.\nAnswer: -0.4, 0.16, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 607656 and 21?\nAnswer: 607656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*l**5 + 60*l**4 - 152*l**3 - 48*l**2 = 0.\nAnswer: -6, -2\/7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*(7 - (-1 - -2)). What is the hundreds digit of ((-4)\/t)\/((-4)\/(-2400)*2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 102102 and 1914?\nAnswer: 2960958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35 (base 12) to base 11.\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 + -2 + -2)*-9. Let p = -7 + m. Factor -2*o**4 - o**3 - 2*o**3 + 6*o**4 - 5*o**4 - 2*o**p.\nAnswer: -o**2*(o + 1)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1)\/(-2) + (-86)\/(-4) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 - ((-7 - -15) + -5) - (29 - 32)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 0.11, 0.05, 2\/7?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 6, -117 = -5*x - 0*a + 4*a. Does 6 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 572340356?\nAnswer: 2, 7, 59, 346453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 7*t = -88. Suppose -5*f + 87 = -188. What is the highest common divisor of f and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 + 5 + 1 + -2. Suppose -h - h - o*j = 0, -h + 3*j + 8 = 0. Suppose 0 = 5*u + 2*d - 265, -4*u + 212 = -h*d + 4*d. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88991941.\nAnswer: 223, 399067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - 17. Let m = 167476.894 - 167455.8940007. Let i = m + x. Round i to 6 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (67932\/(-340))\/(1\/(-5))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h - 5. Let x(b) = 2*b - 6. Let i = 1087 + -1092. Give i*t(r) + 4*x(r).\nAnswer: 3*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in eighteen fifths of a millennium?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 915008 is divided by 304889.\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of t**4\/4 - 7*t**3\/3 - 7*t**2\/2 - 12*t + 8. Let z be f(8). Which is the biggest value? (a) 5\/2 (b) -3\/5 (c) 20 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 2*k - 2*u + 2 = 0, 4*k + 12 = 4*u. Let w = -14 - -10. Which is the smallest value? (a) 3\/4 (b) k (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60117565283 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1782.6 - -44?\nAnswer: -1738.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 109 + 16. Suppose -j - 54 = -5*y, -y - 2*y + 2*j + q = 0. Does 10 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(1078) + (sqrt(1078) + sqrt(1078)*-2)*6 + sqrt(1078)))\/(5*(sqrt(2) + 2*(sqrt(8)\/sqrt(4) + sqrt(2)) - sqrt(2))*-6).\nAnswer: -7*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-58)\/(-15) + 6\/45. Suppose -6*y = -2*y + 140. Let m = y + 60. Solve -w + l*p - 10 = -2, -4*w - 3*p + m = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 7:09 AM?\nAnswer: 5:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 + 7*z - 3. Let x be l(5). Suppose -5*h = 5*k, 2 - 12 = -k + h. Solve k*s + x - 17 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-3)\/(t**(-6\/7)*t)*(t*t**(-2)\/t*t)**42)\/(t**(-3\/5)\/(t*t*t\/(t*(t\/(((t\/t**(-11\/2))\/t)\/t*t))\/t)*t*t*t))**(-36) assuming t is positive.\nAnswer: t**(-15566\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/6832 and -113\/26352.\nAnswer: 184464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rqm when three letters picked without replacement from {q: 1, i: 1, m: 1, r: 1, t: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 46, 3, -5, 2, -220, 18, 0 in decreasing order.\nAnswer: 46, 18, 3, 2, 0, -5, -220","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/9485966 and -33\/1115996.\nAnswer: 18971932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -5*u**3 + 105190*u**2 - 315535*u + 210350 = 0.\nAnswer: 1, 2, 21035","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = 5*o - 10*o. Let d = o + -9. Suppose d*a - 5*v + 168 = 1197, -4*a = v - 999. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 4*m**4 - 2480*m**3 + 379408*m**2 + 1547520*m + 1557504 = 0.\nAnswer: -2, 312","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 - 4*y**2 + 5*y. Let l be x(-5). Let c be ((-84)\/105)\/(-1 - (-4631)\/4645). Let s = -265 + c. What is the closest to 0.1 in -2, s, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2*j**3 + j**2 + j + 1. Let u be m(-1). Suppose 65 - 24 = a + 4*g, -4*a - g = -104. What is the derivative of -a*b**u - 5*b**3 + 14*b**3 + 26 wrt b?\nAnswer: -48*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 7 - 4*d - 158*d**2 + 87*d**2 + d as k*d**2 + c + i*d and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/86285 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 12 = -2*q - 3*q, 2*n + 4 = 4*q. What is the remainder when 4 is divided by q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uij when three letters picked without replacement from qijjjuiqqjiqqqqjjxj.\nAnswer: 7\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2*h - 6. Let k be x(5). Suppose s + 4*o = 5*s - 204, o = -k*s + 184. Suppose 5*t - s + 9 = -2*n, -4*n + 16 = 0. Solve -4*r = -t*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 - (3 + 264\/(-2)). Calculate the highest common factor of k and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1523 and 76629?\nAnswer: 116705967","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -184*i + 3 - 2 + 303*i + 383*i.\nAnswer: 502*i + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-9)*(-3)\/5.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -300\/59 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2, -1\/6, 0.4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*v**2 + 6*v**2 + 1 + 3*v**2 + 3*v to the form u*v**2 + x*v + y and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 119 + 106. Suppose 8*i - v = 3*i. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a gram in milligrams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.22 to 1 dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (12 - 6) + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -46 - -46. Sort -8, c, 2 in descending order.\nAnswer: 2, c, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1079195?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1228573 divided by 2?\nAnswer: -1228573\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2 - 22504*y - 3306900.\nAnswer: (y - 22650)*(y + 146)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 54890?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 + (-24)\/21)\/(1\/(-3)). Let k = 338 - 305. What is the closest to -0.1 in k, a, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ih when two letters picked without replacement from lppppilhhll.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20*a**2 + 17*a**2 + 3*a + 4*a**5 - 3*a wrt a?\nAnswer: 240*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -0.69?\nAnswer: -2.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -730 divided by 10\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3494 + -3490. What is the fourth biggest value in v, 9, 19, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 7 = -y, 2*y + 3 = -2*n - 5. Let r(o) = 3*o**3 - 2*o**2 + 1. Calculate r(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 12) in base 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = -66*z + 34*z. Which is bigger: 4\/5 or z?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -375, -638, -867, -1068, -1247, -1410?\n\"Answer: -a**3 + 23*a**2 - 325*a - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -3*q + 6. Let z(f) = 18*f**2 + 4*f - 3. Let h be z(q). Calculate the greatest common divisor of h and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 198, 82, -36, -156, -278?\n\"Answer: -h**2 - 113*h + 312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-2*(sqrt(250)\/sqrt(5) - (2*sqrt(162))**2)*-6.\nAnswer: -60*sqrt(2) + 7776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iib. Give prob of sequence ibi.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 8 = 6*y. Let d(f) = -6*f - 5*f**2 - 1 - f**3 - y + 2*f**3. Let v be (1\/(-4))\/(247\/(-5928)). Determine d(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3559633 and 0.0239.\nAnswer: -3559632.9761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 165301\/1001 + -1156\/7. Find the common denominator of a and -39\/11.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3\/7, 2, 460\/49, -855?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17)\/(459\/45)*(-810)\/(-30).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -584, -2326, -5208, -9212, -14320, -20514, -27776?\n\"Answer: 3*k**3 - 588*k**2 + k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 11. Let h(q) be the second derivative of q**5\/20 - q**4\/3 - 4*q**3\/3 - 4*q + 2. What is the remainder when 68 is divided by h(w)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2112 (base 4) to base 16\nAnswer: -96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 517730?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r + 7. Let u be o(-5). Let l be ((-9)\/6)\/((-51)\/340) + 10. Solve 0 = -6*p + u*p - l for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 262 divided by 4045\nAnswer: 262\/4045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.5 and -217.\nAnswer: -217.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of 4*s**6\/3 - s**5\/5 - 55*s**2\/2 + 55. Find the second derivative of o(q) wrt q.\nAnswer: 160*q**3 - 12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (239 - 200) + -147 - ((-4 - -3) + 4 - -4)?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 + 3*j**2 - j - 4. Let q be w(-3). Let u be 48\/(-10)*(-4 + q). Suppose 81 + u = 5*g. Is g a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 466.6316 nanograms to grams.\nAnswer: 0.0000004666316","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6834, -27233, -61222, -108795, -169946, -244669, -332958, -434807?\nAnswer: -550210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.14191 + 78.46554?\nAnswer: 78.60745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 AM and 3:14 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.055 in 29, -31, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64221 is divided by 2602.\nAnswer: 1773","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -8. Suppose q = -2*q. Let l(r) = t*r + 2 + q*r - 4*r. Determine l(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 19 = 149. Let r be 2\/3*1 + 615\/9. Calculate the remainder when l is divided by 989\/r + (-4)\/(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10 + -12 + 1234 + 10. What is the highest common factor of b and 184?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -8. Let x = 0.567 - 0.367. Let q be (-32)\/(-30) - (-4)\/(-10). Which is the nearest to y? (a) x (b) q (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dm when two letters picked without replacement from annmnnndnnndannn.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 z when two letters picked without replacement from {v: 1, r: 1, z: 3, g: 1, y: 7}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((-5*2*sqrt(200) + (-3 + sqrt(200) + 1 + sqrt(200) - sqrt(200)) + 1)*-3)**2 + -1).\nAnswer: 3240*sqrt(2) + 291616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 926.6379 centuries in millennia?\nAnswer: 92.66379","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 2*d = -24. What are the prime factors of ((-30)\/(-8))\/(-3)*d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 6:48 AM?\nAnswer: 9:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 46 - -5?\nAnswer: 4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 24, 0, -2, 138 in descending order.\nAnswer: 138, 24, 2, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 2*v**3 + 18*v**2 - 11*v - 157. Let s be u(-8). Solve 68*k = s*k - 27 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1081909*g**3*v - 145*g**3 - 37*g**2*v + 27*g*v + 2*g + 4*v + 1039 wrt g?\nAnswer: 6491454*v - 870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of -g**6\/10 - 3*g**5\/20 + g**4\/4 + g**3\/2 - 9*g. Factor s(b).\nAnswer: -3*b*(b - 1)*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 10:23 AM?\nAnswer: 2:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 115*p**6 + p**5 + 27106*p**3 - 259*p**2 - 5540 wrt p?\nAnswer: 13800*p**3 + 60*p**2 + 162636","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 19883000 to the power of 1\/2, to the nearest integer?\nAnswer: 4459","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/2 in -4, 1, -1\/2, 1\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(114)*2 + sqrt(114) - sqrt(114))*-4)\/(sqrt(6) - 6*1*sqrt(6)) - (3*sqrt(190)*3 - sqrt(190))\/(sqrt(40)\/sqrt(4)*2).\nAnswer: -12*sqrt(19)\/5 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17.07 - 17. Let l = f + 0.05. Let p = l - 3.12. Which is the closest to p? (a) 3\/4 (b) 1 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 16) to base 6\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1286646mg to grams.\nAnswer: 0.0001286646","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.756 - -4.7559991676. What is f rounded to seven dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9684?\nAnswer: 2, 3, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one halves of a millennium in years?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 5, i: 2}. Give prob of sequence iip.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25978?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 56704 to the power of 1\/2, to the nearest integer?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*b - 336 = 3*b. What is the common denominator of -7\/4 and ((-68)\/20 - -6)*5\/b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -73237\/12936 + 580\/147. Let v = m + 13\/8. Let x be 2*(2 + (-3)\/2). Which is greater: v or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 666650 divided by 1675\nAnswer: 398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-810)\/84 + 0 + 3 and -53\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 45 and 2265?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 35*q**3 + 9*q**2 - q - 28. Let m be a(6). Let r = m + 2727. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 55331 - 27131. Does 47 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1221230041 (base 5) to base 16\nAnswer: -2c785c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1719, -3468, -5217?\n\"Answer: -1749*f + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 9\/55 (b) -3\/11 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11\/5? (a) 1.15 (b) -2\/25 (c) 3\/7 (d) -75\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 c when three letters picked without replacement from cnccnnnccnncncnnccc?\nAnswer: 120\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z. Let h be 1\/9*-1 + (-1168)\/(-144). Let l be 3*((-9 - -12) + h\/(-3)). Let g(f) = 5*f**2 - f + 2. What is l*g(j) - 2*x(j)?\nAnswer: 5*j**2 + j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*(112\/(-21))\/16.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-23 + 24927\/987)*1\/28*2 and 71\/35?\nAnswer: 1645","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -18*v**3 + 2*v**2 + 2*v. Suppose 0 = 16*s - 13*s + 3. Let f be r(s). Factor -26\/3*k - 4\/3 - 46\/3*k**3 - f*k**2 - 14\/3*k**4.\nAnswer: -2*(k + 1)**3*(7*k + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14726 - 14726 + 18044*p.\nAnswer: 18044*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 + 10*u**2 + 13*u - 6. Let p be v(11). Let j be 123\/123 - -35*5. Calculate the highest common factor of p and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 10, 1182, 2, -1 in ascending order.\nAnswer: -1, 0, 2, 10, 1182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 14 - 4 = p, -3*p + 10 = 2*y. Let a(q) = -q**2 + 10*q - 8. Let m be a(y). Calculate the highest common factor of m and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*o + 12 = -71*o. Suppose 0 = -y - z - z + 277, o*y + 5*z = 559. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 112 = 4*c, 4*q - 39 = -5*c + 120. Let f be (-267)\/(-39) + (-11)\/((-858)\/12). Suppose -f*p + 19*p = -24. Sort 5, p, q, 4.\nAnswer: p, 4, 5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*j - 7*j - 9805 = 0. Let y = j + -1228. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + -1020?\nAnswer: -1011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 159874?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 308443?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of -41*j**5\/20 + j**4\/24 - 16*j**3 + 2*j**2 - 131. Find the second derivative of i(d) wrt d.\nAnswer: -246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 49*r**3 - 57*r**2 + 135*r - 16799. Let n(q) = -9*q**3 + 11*q**2 - 27*q + 3360. Let t(g) = 2*l(g) + 11*n(g). Differentiate t(w) wrt w.\nAnswer: -3*w**2 + 14*w - 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01358995457 rounded to 3 decimal places?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**3 - 14115*x**2 - 2736390*x + 5529200.\nAnswer: 5*(x - 3005)*(x - 2)*(x + 184)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 756 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 503 is divided by 239?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 53*v + 19*v + 1681 + v**2 + 10*v.\nAnswer: (v + 41)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 50, 183, 396, 683, 1038, 1455, 1928?\n\"Answer: -j**3 + 46*j**2 + 2*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.618 + 1.518. Let v = 0.2 + -0.1. Which is the closest to 0.1? (a) v (b) -1\/2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 278884757?\nAnswer: 103, 2707619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of i**4\/12 - 25814*i**2. Let g(r) = -35*r**2. Let k(q) = -23*q**2. Let z(c) = 5*g(c) - 7*k(c). Calculate p(z(j)).\nAnswer: -28*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve u**2\/6 + 1816*u\/3 + 39710\/3 = 0 for u.\nAnswer: -3610, -22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 53.316 + -0.116. Round m to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.6924 times 747?\nAnswer: 25915.2228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - ((-444)\/(-259) + ((-18)\/(-21))\/(-2)).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -3\/1888, 2, -1\/2?\nAnswer: -3\/1888","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/4 of a week?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/2 and 2\/(-8) + 2637\/(-108)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.49 times 34\nAnswer: -84.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -9, 96, 271, 516, 831, 1216, 1671?\n\"Answer: 35*p**2 - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1697227 - 1694452 = -111*u for u.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/(-330)*-11)\/(10\/(5*-144))?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5745 - 12258 - 65*f + 67*f.\nAnswer: 2*f - 18003","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, 0, -2\/3, 1\/4, -1\/6 in increasing order.\nAnswer: -2\/3, -1\/6, 0, 1\/4, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 163*r - 61092 = 157*r. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4887 + 4702. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = -4*i + 45, 277*i = 272*i for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 5, r: 5}. Give prob of sequence zz.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13.3902519 - 70774.2739281. Let a = -70863.66417963 - h. Let u = -76 - a. What is u rounded to seven decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(300)\/(sqrt(10)*2))\/((-1*sqrt(6) - sqrt(6))*5)*-4)**2.\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 12) to base 6\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 6:28 PM?\nAnswer: 7:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - -142?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*a + 2*a + 6*a + 6 - 4*a**2 + 6 to v + z*a**2 + m*a and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from suoeebeoneunseeooee. Give prob of sequence snss.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4147074 to the power of 1\/3, to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 136443 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hfh when three letters picked without replacement from qaahfh?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 14, 56, 98, 140, 182?\n\"Answer: 42*q - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12*h*k - 2318*h + 1419*k with respect to h.\nAnswer: -12*k - 2318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 - (5\/2)\/(-5). What is the closest to p in 0.1, -0.4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -4 - 2*w**3 - w**2 - w + w**3 + 4*w + 0*w**3. Let q(v) = -v**3 + 6*v**2 + 6*v + 9. What is the remainder when l(-3) is divided by q(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2125016417 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, t: 2, r: 2, y: 1, f: 4}. What is prob of sequence rt?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(300))*1)**2 + -5 + sqrt(300)*-3 + sqrt(300) + sqrt(300) + (4 + sqrt(3) + 1 + sqrt(3) + 0 + -2)**2 + 1.\nAnswer: 42*sqrt(3) + 321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -44 - -43. Let v = 16 + u. Suppose 3 = -l + b, -2*l - 2*l = -b + v. Let w(h) = -h**3 - 4*h**2 + 2*h + 1. Give w(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as -16\/323?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17 - (-783)\/54) + -28.\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12210967?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14372 is divided by 91.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11986695*x - 771282 with respect to x.\nAnswer: -11986695","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - -4) + 1 + -6 + -23 + 7 + 73?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000095954393 rounded to seven dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -259*d**3 - d**2 + 628*d wrt d?\nAnswer: -1554*d - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.16156*-0.6.\nAnswer: 0.096936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (4\/(-5))\/(1\/(-365)) and (-49 + 43)*(252\/(-27) - -7)?\nAnswer: 2044","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of -n**9\/252 + n**6\/40 - n**5\/60 + 5*n**3\/6 - 12*n**2 + 2*n. What is the third derivative of q(b) wrt b?\nAnswer: -240*b**3 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 17*s - 16. What is the hundreds digit of i(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.26999972 + 0.27. Round k to seven decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2*y - 17. Let r(b) = -22*b + 7. Let j(h) = -39*h + 8. Let a(p) = -4*j(p) + 7*r(p). Determine 3*a(g) + 4*d(g).\nAnswer: -2*g - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-6 - -8) + -2 + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -26? (a) 30\/49 (b) 2\/13 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/16 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 75939848?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 5*j = 35, -3*j + 7 = -0*d + d. Let k(s) = -s**2 + 12*s - 14. What are the prime factors of k(d)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -218*u - 2 + 3 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/980 and 39\/44.\nAnswer: 10780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 87087, 87262, 87437, 87612, 87787?\n\"Answer: 175*j + 86912","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 90, 1, -5, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is ded - 4?\nAnswer: de9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (3 + sqrt(605) + -1 + 3)**2.\nAnswer: 110*sqrt(5) + 630","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 1. Suppose 0 = -2*a + j + 3. Suppose -a = -z + 2. What is the least common multiple of 7 and z?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 - 7*v - 15. Let n be w(10). Suppose -95 = -2*r + n. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 + (-20 - (-2 + 3) - (426 - 470))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 3202 divide 1897303474?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 152595?\nAnswer: 3, 5, 3391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 4*i + 2 = 0, -b - 1 = i - 3. Suppose 0 = 4*p - b*p - 4. Let l be 1\/p*(-7)\/(-14). What is the nearest to l in 5\/6, 1\/2, 2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2. Let c be (-14)\/4 + 2 + 2. Let y(s) be the second derivative of -3*s - c*s**3 + 0*s**2 + 0. What is j(y(r))?\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-30 - -21 - -21) - -27.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1335, -1509, -1683?\n\"Answer: -174*l - 1161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37062.11133 - 9.\nAnswer: -37071.11133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1825059418?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 - 12*s**2 - 11*s + 2. Let i be k(-11). Suppose -2*l - l + 19 = -2*c, i*l - 3*c = 16. What is the remainder when l is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3230 (base 5) to base 4.\nAnswer: 12320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 71\/29587 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - w + 8. Differentiate q - 5*q - 5 + w*q wrt q.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -529 + 529 + 55*i**2.\nAnswer: 55*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one sixths of a millennium in months?\nAnswer: 62000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 6\/5 of a kilogram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 43 + 55 = -42 for o.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-47)\/9*(-3546)\/(-3152)*-8\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 88, 0, 1680, 20, 2 in descending order.\nAnswer: 1680, 88, 20, 2, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -38, 5, 17, 7 in descending order.\nAnswer: 17, 7, 5, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 - 12*a**2 - 23*a + 23. What is b(14)?\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -114*g**2 + g - 1201?\nAnswer: -228*g + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2*f**3 + 2*f**2 + f - 2. Give g(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2621566, -5243122, -7864678, -10486234, -13107790?\nAnswer: -15729346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 l when three letters picked without replacement from {i: 3, l: 12}?\nAnswer: 198\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w = 9*w - 2. Sort 5, -3, w in increasing order.\nAnswer: -3, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cbb when three letters picked without replacement from {w: 2, s: 8, b: 3, g: 5, c: 2}?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -704*n**2 + 6*n**3 + 500*n**2 - n + 204*n**2.\nAnswer: 6*n**3 - n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 + 14*n**2 - 25*n + 21. What are the prime factors of t(-15)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.295435km in meters?\nAnswer: 5295.435","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/(-56))\/((-9)\/24).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 53 + (-15 - 53) + -63.\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -49, -12142, 3, -3, -10.\nAnswer: -12142, -49, -10, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 3, -3, 39?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 73438 by 36719.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-2) - (-15 - 2). What is the common denominator of 2\/7 and (-5)\/t - 446\/(-24)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + k - 1 = 0, -2*r + 4*k + 9 = 3*k. Suppose r*l - l = 44. Is l a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = g + 18. Let q = g + -8. Suppose 21 = 3*j - 3*v, 3*j = -2*v - v - 9. Calculate the smallest common multiple of j and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 275, 304, 333, 362, 391, 420?\nAnswer: 449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119) + sqrt(119) + sqrt(119)*1*3)\/(sqrt(448)*-2 - sqrt(448)) + (sqrt(68) - -1*sqrt(68)*6)\/(sqrt(64)*-3))**2.\nAnswer: 6137\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2638 or 2641?\nAnswer: 2641","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 80477 and 2645?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 841720 <= 841720?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.6 (b) -2.16 (c) -2775.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 + 8*s**2 - 2*s - 4. Is a(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 5*c - 44 = c, h - 2*c - 5 = 0. Suppose 5*n - 16646 = -h*n. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 276 and 695589.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 + (-783)\/(-63))\/(10\/(-14)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -168*g + 1105. Determine v(6).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -71 - -97. Let n(s) = -11 - s**2 + j + s + 5*s. Let t be n(9). Round t to the nearest integer.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65522827 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -5*m + 9, 0*f + 4*f + 1 = 3*m. Let l = 380 - 276. Suppose -14*z = -27*z + l. Solve 9 = -2*y - j, m*j + 7 = -z for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13.78 + -0.22. Let h = g - -17. Which is the third smallest value? (a) -4 (b) h (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/9*t**2 + 1\/9*t + 2\/9.\nAnswer: -(t - 2)*(t + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2c5a16 (base 15) in base 6?\nAnswer: -113552220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2176*t - 25. Let n be k(-11). Suppose -4*x = -5*i + n, -2*i - 3850 + 13417 = x. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 22632*r**2 - 3*r - 30702*r**2 + 3*r as i*r + p*r**2 + n and give p.\nAnswer: -8070","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 17040957 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 AM and 5:56 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 102043.57883 plus -1.3?\nAnswer: 102042.27883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29476299.\nAnswer: 3, 1493, 6581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3769483?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 - 14*n**2 + 34*n + 33. Let g be v(-16). What is the common denominator of 18*3*g*(-25)\/7605 and 15\/11?\nAnswer: 1859","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 24461 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -493.49*-1.6\nAnswer: 789.584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 67721988 and 592.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 18, -0.4 in decreasing order.\nAnswer: 18, 5, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1058342276 to the nearest integer?\nAnswer: 32532","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**8*o**1)**(19\/5)*(o**0)**(-19)*(o\/o**(-1))\/(o\/((o*o**(-4)*o*o*o)\/o)) assuming o is positive.\nAnswer: o**(171\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 4*s + 2, -m + 9*s + 2 = 10*s. Let d be (m + 478\/3)*(0 - -3). Let j = -147 + d. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3248 divided by 406.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 486 is divided by 134.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + z + 3*y = -18, -2*y - 3 = z. Solve p + 2*p = -4*l - 6, 0 = -z*p + 6 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5299 is divided by -9 - 93*28\/(-42)?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + -14 + 15 - 6) + (1 - -3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1033105 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17171000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + k = 53, 3*k + 2*k - 55 = 4*q. Let m(f) = f**2 + 8*f + 13. What is the remainder when m(q) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand i - i + 2*i - 28*i + 203*i + 8*i + 3*i + 0*i - 4*i + (-i + 5*i - 5*i)*(0 + 3 - 5) - 4 + 4 + 2*i + (-2 - 1 - 1)*(2*i + 2*i - 2*i).\nAnswer: 180*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -5*(1 + sqrt(50)) + -4 + 2 + sqrt(450)*1)**2.\nAnswer: 120*sqrt(2) + 236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/(-9))\/((-2)\/(-12)). Let u = -3.007 - -0.007. What is the closest to u in 0, a, 1\/2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 2*u**2 + 2*u + 1. Let o be n(-1). Let h(t) = 1 - o + 3*t. Let i(a) = -46 + 46 + 2*a - a. Give h(i(j)).\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/24*(-167 - -146)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of 17*v**9\/252 + 11*v**5\/30 + 5*v**2. What is the third derivative of d(n) wrt n?\nAnswer: 4080*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2111001 (base 3) to base 2.\nAnswer: 11100010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -285 + 279. Sort 0, 1\/5, 1\/2, d in decreasing order.\nAnswer: 1\/2, 1\/5, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**4 - 7077060*t**3 + 4173703211964*t**2 + 33389965395360*t + 66780157257408.\nAnswer: 3*(t - 1179514)**2*(t + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 34.5742831 to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pcf when three letters picked without replacement from wifcfpp.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -7427, 14641 in increasing order.\nAnswer: -7427, -4, 14641","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 34 = -10. Suppose 3*q + 8 = 2*r - 31, -2*r + q = -33. Find the common denominator of (z\/r)\/(12\/325) and -61\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 7 - 8 = 0. Suppose 2*d = 5*i - 3, -d + 2 = 3*d - 2*i. Let p be -1*d*(1 + -1). Solve 17 = 4*h - 5*h - 4*z, -a*z - 15 = p for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 184407?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -4252*d - 2. Let g(m) = 3*m. Determine g(t(n)).\nAnswer: -12756*n - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1514 - 1524 = 2*v + 4*n, -24 = 5*v - 9*v + 3*n for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 k when two letters picked without replacement from {k: 4, p: 13, v: 3}.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -39.931 * -147\nAnswer: 5869.857","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2181, -4344, -6489, -8616, -10725?\n\"Answer: 9*y**2 - 2190*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/2 in 0.4, 5, -9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 - 0.06031.\nAnswer: -2.06031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-102*i**3 + 29*i**4 + 102*i**3 + (0*i + 0*i + i**2)*(2*i**2 - 4 + 4))*(2 - 4 + 1)*(-1 - 2 + 4).\nAnswer: -31*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*v - 1613 - 472 = -215 for v.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + -9 + (-63 - 0)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2*b**2. Let v(g) = 38*g + 157*g + 93*g - 31*g. What is r(v(w))?\nAnswer: -132098*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r + r - 4*p, 0 = -2*r + 4*p + 4. What is the lowest common multiple of r and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/1548660 and 187\/61172070.\nAnswer: 122344140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 12) to base 3.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 4.1. Let o be (39\/(-21) + 2)*4. Which is bigger: i or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -4*m - 29. Let a be s(-8). Solve h + a - 5 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 + -7. Suppose 10 = -2*d + t*d. Suppose -3*r = -x + r + 7, -d*x + 119 = r. What is the remainder when x is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4103?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20366782 and 2396092.\nAnswer: 40733564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - 3. Let r be 172\/(-14) + v\/(-7). Let h be ((-10)\/3)\/(8\/r). Which is the third smallest value? (a) 1\/3 (b) -3\/2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22934975 is divided by 72579?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 i when two letters picked without replacement from {c: 7, i: 3, y: 9}.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/15 - (312\/(-20))\/3. Suppose -f*j - m + 333 = -153, -5*m = -4*j + 412. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 5 = 5*g. Let m be 1 - 13\/((-117)\/36). Which is the fourth biggest value? (a) 2\/3 (b) g (c) m (d) 5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -38970166 and -3.5.\nAnswer: -38970169.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2713 - 35325\/13. Let w be 7 + (-6293)\/637 + -2. Let i = x - w. Sort 1\/9, -3\/8, -1\/5, i in decreasing order.\nAnswer: i, 1\/9, -1\/5, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - -1. Let j be (-2)\/5 - 46\/10. Let l = 13 + j. What is the lowest common multiple of m and l?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 2\/31 (b) 0 (c) -12 (d) 0.03 (e) 26 (f) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + -3. Let k = 7 + s. Let p(u) = -u + 20. Is 20 a factor of p(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c + 0*c - 2*c + 0 + 0 - 4*c + (10*c + 2*c + 0*c)*(3 + 1 + 0))*(-2*c - c + c) + 3 - 3 + 2*c**2.\nAnswer: -84*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 + 43*w**2 + 4568*w + 13353. Give v(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 153.73 - 155. Let v = q + 1. Let m = v - 3.73. What is the third biggest value in -0.5, -0.4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.006997 and 0.07.\nAnswer: 0.00048979","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1425*s = -1384*s - 572401. What are the prime factors of s?\nAnswer: 23, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 233806806 to the nearest integer?\nAnswer: 616","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3495939, 4 in descending order.\nAnswer: 3495939, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z = -14*z. Does 13 divide 91 - (-4)\/20*z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (50 - (64 + 12)) + 10?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -11703 bigger than -11702?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2465 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1716 and 3.\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = c - 0*c. Suppose -8 = -3*q - c. Let f be 1 + 0 + -70 + 72. What is the biggest value in 0.5, q, f, 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*b - 16, 3*i - 5*b = 52 - 29 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 - 11*c - 12. Let a be v(12). Is a greater than 7\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 172, 398, 950, 1990, 3680, 6182, 9658?\n\"Answer: 27*m**3 + m**2 + 34*m + 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 v when two letters picked without replacement from wtvwtttwwhtwtwtwt.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*a - 16 + 16)*(-4 + 0 + 6) + (1 + 0 + 1)*(-1 + a + 1) - 5*a + 17*a + 10*a.\nAnswer: 40*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4942155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10001000100 (base 2) to base 16.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3858540 divided by -385854\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 2 = -4*y - 10, -9*y - 12 = 39*i + y + 26 - 18 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z**3 - 11*z**4 - 723*z**2 + 702*z**2 + 12*z - 14*z to the form u + r*z**2 + x*z + a*z**4 + i*z**3 and give a.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -167*u + 50*u + 88*u to z + d*u and give d.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 366.3 + -366. Which is the closest to -7? (a) h (b) 4\/3 (c) -1 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 21 = 3*p, 4444*p = 4439*p - 5*w + 25 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = -5063*k + 5068*k - 6, 0 = 4*l - 4 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 68440 and 36934?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2*z. Let i(a) = 1393*a. Calculate i(t(r)).\nAnswer: -2786*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8283*u**3 - 5017*u + 21674953 wrt u.\nAnswer: -24849*u**2 - 5017","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -2*n. Suppose 3*i - 6 = -3*g, -4 = -3*i + i + 3*g. Let y(l) be the first derivative of 0*l**i + 0*l + 3 - 1\/3*l**3. Determine a(y(p)).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1410 and 16?\nAnswer: 11280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + -79\/10. Let i(d) = d**3 - 27*d**2 + 20*d + 157. Let w be i(26). Is w less than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15 - -7) + (12 - (5 - 3)) + 20?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11741 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 2 - (2 + -3 + -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -436 + -30b07?\nAnswer: -30f3d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from djdn. Give prob of picking 1 n and 2 d.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yoyoyoo. Give prob of sequence oooy.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -16*s**2 - s. Let a be v(-1). Let b = 7 - a. Calculate the least common multiple of 20 and b.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -111539.3 to the nearest 1000.\nAnswer: -112000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -10*q - 13 + 17 - 4 - 1. Suppose 0 = -3*n - 3*j - 2*j - 3, 1 = -n + 4*j. What is v(n)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 264*z - 269*z - 4 = a, -a + 3 = -2*z for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11 and 16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 90637 by -389.\nAnswer: -233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 379 is divided by 125.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 22452604 - -1?\nAnswer: 22452605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 58089 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r + 15. Let m(d) = -d + 8. Determine 2*f(o) - 5*m(o).\nAnswer: o - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 12:16 PM?\nAnswer: 6:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8.9 - 9. Let a = -0.1 - i. Let n = -31\/455 + -3\/35. Sort n, a, -5 in decreasing order.\nAnswer: a, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 4*g**2 + 2. Let l(p) = -83*p**2 + 6. Let h(s) = 6*a(s) - 2*l(s). Let c(x) = -26*x**2. Calculate c(h(j)).\nAnswer: -938600*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5999 - 5996. Let z(y) = 2*y. Let u be z(1). Solve -i + k = -2 - f, -4*i + 12 = -u*k for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 0 = 3. Suppose i*h = -4*w + 7*h + 380, -105 = -w - 4*h. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/4 of a millennium?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/4)\/(3\/(-4)). Let j be -578 - ((-3)\/1 + 3 + 2). Let w = j + 2323\/4. What is the closest to m in w, 0, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u - 12 - 4, 4*s - 4 = 4*u. Let y(f) = 3. Let g(v) = -v**2 - v - 1. Let w(d) = s*g(d) - y(d). Let q = 2 + -4. Determine w(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + -2 + (-60)\/(-27). Let k = -3.7 + -0.3. Let z = -4 - k. Which is the smallest value? (a) o (b) z (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*q + 22*q**3 - 110*q**3 - 4*q.\nAnswer: -88*q**3 - 4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 4*m = 5. Suppose -2*v - 244 = -4*t + 2*v, -4*t + 244 = -m*v. Suppose 11 + 21 = 2*z. Calculate the remainder when t is divided by z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3867?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1028 take away -46?\nAnswer: -982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fyf when three letters picked without replacement from {z: 2, f: 6, y: 4}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = z - 34. Suppose 16 = 2*a - z. Is a a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5237*q**6 + q**4 - 2815*q**2?\nAnswer: -628440*q**3 + 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -99 divided by -11?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*w + 9*w + 6*w.\nAnswer: 34*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 3*o = -285, 0 = 5*y - 5*o + 4*o - 1393. Let b = y - 270. What is the greatest common divisor of b and 261?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -11*r. Let a(q) = -21*q. Give a(z(d)).\nAnswer: 231*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.23 minus 209239412094?\nAnswer: -209239412094.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5347803 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 151 minutes before 10:44 PM?\nAnswer: 8:13 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -166*u + 56. Let w(p) = -250*p + 90. Let c(j) = -8*l(j) + 5*w(j). Let o = 5 + -4. Is 16 a factor of c(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h - 8. Determine w(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 39\/(-78)*477\/18\nAnswer: -53\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 173*x**2 - 181*x + 4. Let r(b) = -2*b**2 + b - 1. Let j(u) = m(u) + 4*r(u). Find the second derivative of j(z) wrt z.\nAnswer: 330","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2. Let y(h) = -2*h**2 + 4*h. Let w(d) = -2*d**2 + 3*d. Suppose 3*c - 5*c = -8, -4*c = -z - 20. Let k(u) = z*w(u) + 3*y(u). What is k(t(v))?\nAnswer: 2*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18205 = -13*u + 8*u + 5*p, -3*u = -4*p - 10920. Let f = u - -10998. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/10*(-15)\/2. Let r = -162 + 158. Which is the biggest value? (a) x (b) 0.4 (c) 3 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -0*n - d - 344, 0 = 5*d. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21\/476*-18)\/((-655)\/2358*27\/10).\nAnswer: 18\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 + 174*o**2 + 1802*o + 64. Calculate v(-11).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/4)\/((-190)\/(-20) - 10)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13416378?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, l: 1, y: 1, a: 3, o: 1, z: 2}. What is prob of sequence yzga?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together -10851338 and -0.9.\nAnswer: -10851338.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1636 + -8172\/5. Factor -b*t - 2\/5*t**2 - 6\/5.\nAnswer: -2*(t + 1)*(t + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.6 - -2.4. Let g be (44 + 22)\/6 + (-59)\/5. What is the second biggest value in -0.08, 3\/2, g, u?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 12*r**3 + r**2 + r + 1. Suppose -3*p + u - 21 = -5*p, p - 4*u - 33 = 0. Suppose -p = 28*d - 15*d. Calculate y(d).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 355, 702, 1049, 1396, 1743?\nAnswer: 2090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 150083, 600440, 1351057, 2401934, 3753071?\nAnswer: 5404468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 492 is divided by 132.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9.6 + 5.25. Let s = z + 2.85. What is the closest to 1 in 1, s, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = 69*n - 248 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 9*g - 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-644)*-97 + 139\/3197?\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 960 = 4*j, 0*j + j - 3*h - 247 = 0. List the prime factors of j.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.033, 0.5, 0.3, 7, 1, 2, -5 in descending order.\nAnswer: 7, 2, 1, 0.5, 0.3, 0.033, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (51\/(-561) - 26\/198) + 20\/63.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32)\/(-12)*(-4)\/8?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 - 10839*l**2 + 25767*l - 204. Let q(y) = -1355*y**2 + 3221*y - 24. Let n(v) = -2*g(v) + 17*q(v). Find the second derivative of n(u) wrt u.\nAnswer: 12*u - 2714","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-664)\/12)\/((-2)\/3). Let r = 97 - k. What is the highest common divisor of 70 and r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-12)*(f\/(f\/f**(3\/4)))\/f assuming f is positive.\nAnswer: f**(-49\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of -2*u**3\/3 - 15. Let y(x) = -8*x + 3. Let a(r) = 7*r - 2. Let j(w) = -3*a(w) - 2*y(w). Give o(j(n)).\nAnswer: -50*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -483 (b) 9 (c) -3 (d) -2\/25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -118 + 10*g + 70 + 47 + 0 - g + 0 - g - g + 3*g + (-1 + 2 + 0)*(2*g - 3 + 3) - 1 + 1 + g + 2*g - 4*g + g to u + c*g and give c.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 13161 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -67 + -156 + -128 + 416\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4501572?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 240\/(-96)*(-4)\/30. Which is the nearest to -1\/4? (a) -2\/13 (b) 0.4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 1107643?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 + 16*t + 2. Let n be l(16). Let q(b) be the first derivative of 2*b - 1 + 1\/2*b**n. Give q(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x + 2*x + 0*x)*(-x**3 - 3*x**3 - x**3) - 4*x**2 + 4*x**2 + 2*x**4 + (7*x**3 - 3*x**3 - 3*x**3)*(2 - 2 - 2*x).\nAnswer: -15*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*j)*(-2 - 4 + 4) + (-6*j - 1 - 4 + 6)*(-17 + 3 + 2).\nAnswer: 68*j - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 - 11*t + 6. Let k be u(11). Is k > 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 3. Suppose -j = 2*w - 8, 2*w - 7 - 5 = -2*j. Suppose s*g = j*g - 154. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -38, -130, -236, -332, -394?\n\"Answer: 4*n**3 - 31*n**2 - 27*n + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5328\/9 + (-3 + 3)\/(-3)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1810749?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, -544, -0.2, -12.77, 3\/4?\nAnswer: -12.77","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 PM and 10:45 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7941b (base 15) to base 10.\nAnswer: 385676","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 5341017853?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1122326.\nAnswer: 2, 83, 6761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 16 = -4. Let m be k\/(-16) - 33\/(-12). Let x be 1\/(-20)*-2*-4. What is the second biggest value in m, -1\/8, x?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of -d**5\/20 + d**4\/6 + d**3\/3 + d**2\/2 - d - 1. Let h(t) be the first derivative of b(t). Let i = 2 + 1. Give h(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 - (21 + (-80 - -41))?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(63)\/((sqrt(81) - (sqrt(81) + 2*sqrt(81) - sqrt(81) - sqrt(81)))\/sqrt(9) + sqrt(9)).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1224721 divided by 124.\nAnswer: -1224721\/124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1664, 1686, 1754, 1892, 2124, 2474, 2966, 3624?\n\"Answer: 4*f**3 - f**2 - 3*f + 1664","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24102?\nAnswer: 2, 3, 13, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, y: 1, d: 4, o: 1}. What is prob of picking 1 c and 2 d?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 = -2*t - 30. Calculate the least common multiple of ((-10)\/1)\/(2\/(-4)) and t.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1590)\/59784)\/((-3)\/(90\/75))?\nAnswer: 1\/94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 584105739 to the nearest integer?\nAnswer: 24168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(28\/10) - 1. Let p be 30\/(-12)*54\/(-15). Suppose -3*f = -p*f + 6. Which is the closest to f? (a) 0.3 (b) 2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1004320 divided by -5\nAnswer: -200864","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1896)\/(-280) - 9 - (-260)\/(-455).\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 + 2)\/((-6)\/48). Let m be (0 + r\/(-15))*13065\/6. Suppose -c = -3*l + 3490, l - 4*l = 5*c - m. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 19 from 8273.\nAnswer: 8254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005573513 rounded to 5 dps?\nAnswer: 0.00557","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-9) + (-275)\/99. Let p = 14 + y. Calculate the remainder when p is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of 1\/4*z**4 - 5*z**2 + 0*z + 0 - 2\/3*z**3. What is the units digit of x(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9118*g + 9125*g = -63 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 3 = 3*g, -240 - 117 = -369*g + 4*h for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13956 and 499800.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-274*h - 454*h + 477*h)*(-7 + 1 + 13) to k*h + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/16865984 and 87\/40?\nAnswer: 84329920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 136848 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, -1, -3 in decreasing order.\nAnswer: 0, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -16793*w - 3135?\nAnswer: -16793","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -88*m**4 + 138*m**2 + 2*m - 783487 with respect to m.\nAnswer: -352*m**3 + 276*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.9 + 0.9. Let x = -90 - -42. Let z = 49 + x. Which is the nearest to z? (a) -1\/5 (b) -5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1835 and -0.8.\nAnswer: -1835.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192) - (-1 + sqrt(192))**2) + (sqrt(9)\/sqrt(3) - sqrt(3)) + 4 + 4.\nAnswer: -185 + 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44618.\nAnswer: 2, 7, 3187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 240021324*i**4*v**2 - 2*i**4 + v**2 - 93163872*v + 4 wrt i.\nAnswer: 960085296*i**3*v**2 - 8*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-3))\/(4\/(-12)). Suppose d*s = -3*s + 20. Let -2\/5*c - 2\/5*c**5 - 2\/5*c**s - 2\/5 + 4\/5*c**3 + 4\/5*c**2 = 0. What is c?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0038242 - 0.1\nAnswer: -0.1038242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 274142193?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-138)\/(-36) - ((-282)\/(-36) - 8). Let q = -1 - -6. Let k = q - 5. Solve -3*y + 6 = k, 3*v - 5*y - 7 = -a*y for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16? (a) 3 (b) 4\/3 (c) -4 (d) 1.34 (e) -41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1159424893?\nAnswer: 11, 31, 3400073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-310)\/(-4)*(-4)\/50*-140. Calculate the highest common factor of y and 84.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23.2679 + -0.0321. Let i = x - -23.4. Which is the nearest to i? (a) 2\/9 (b) -4\/9 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -6 + (3 - 4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-525)\/(-30))\/(1\/2). Are 2 and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2\/8 - 279*u\/8 - 141\/4.\nAnswer: 3*(u - 94)*(u + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10140, -10141, -10142, -10143?\nAnswer: -10144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 0*z = 10. Suppose z*y = y. Suppose 0*f + 4*f - 60 = y. Does 5 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8809 and 115.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -9*x - 7. Let u = 0 - 6. Calculate the remainder when j(u) is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 249214.\nAnswer: 2, 7, 2543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 2*v + 22*v**4 - 15 + 2*v**2 + 18 in the form n*v + h*v**3 + d*v**2 + j*v**4 + m and give j.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 976 and 49408?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**3 - 2*y**3 + 2*y**3)*(42 - 4*y**2 - 42) + y**5 + 2*y**5 - 2*y**5.\nAnswer: -3*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 483123115?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -32428, -11, -2 in increasing order.\nAnswer: -32428, -11, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 62 + -290?\nAnswer: -229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 8274, 32670, 73224, 129942, 202830, 291894, 397140, 518574?\n\"Answer: o**3 + 8073*o**2 + 170*o + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 37 - 34. Suppose -b*u = -0 + 207. Let y = u - -73. Solve 2*m = 3*i - 6, 4*m + 0 = -y*i + 28 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/1523100 and 113\/4608.\nAnswer: 584870400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(720) + -5)**2 + (3 + sqrt(720))**2 + 4)*-6*-4 + -3.\nAnswer: 10368*sqrt(5) + 173709","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1355 - -1424001?\nAnswer: 1425400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together -130 and 6.0522184148.\nAnswer: -123.9477815852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 648495?\nAnswer: 3, 5, 14411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 2\/25, -269.8, -2\/7.\nAnswer: -269.8, -2\/7, 2\/25, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lz when two letters picked without replacement from llzllllllzllllllzz.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -43, 0 in increasing order.\nAnswer: -43, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 + 11*z**2 + 2*z - 35. Suppose -5*a + h + 16 = -31, 4*a - 43 = -h. Calculate the remainder when b(a) is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/12*(2 - 10). Let h(j) = -j + 2. Let x be h(m). Is -1 <= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/sqrt(48) - -5*sqrt(50))**2.\nAnswer: 2601\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 30 + -18. Suppose -5*l - 27 = 3*b - 0, -2*l - 14 = 2*b. What is the smallest common multiple of r and 1*17 - (7 + b)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 4*s = -1, -p - 3*s - 2 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-34)\/85 - (-15)\/(9000\/(-860))) + 1\/(-6). Let s(y) be the first derivative of -4*y**3\/3 + 1. Let f(q) = 7*q**2. Calculate x*f(u) - 5*s(u).\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7497 = -0*w + 9*w. Suppose -2*v - y = -7*v + 4249, -v + w = 4*y. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -129, -10, -3 in increasing order.\nAnswer: -129, -10, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -502, -988, -1476, -1966, -2458, -2952?\nAnswer: -3448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4110 - -65817\/16. What is the common denominator of u and 116\/(-32)*(-2 + 2 + -1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145 a factor of 5988540?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -4*t + t**3 + 5*t**2 + 90 - 199 + 114. Let o(c) = -c**3 + 5*c**2 - 2*c + 4. Let v be o(5). Let a(x) = -x**3 - 6*x**2 + 5*x - 6. Give v*m(f) - 5*a(f).\nAnswer: -f**3 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 5*x**2 + 4*x + 3. Let h be d(-2). Let b = 16 - h. Suppose 0*q + q + 5 = 0. Put -3, b, q in descending order.\nAnswer: b, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14\/5 or 4?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.77, 15, 4\/9, 2.1, 11\/2 in decreasing order.\nAnswer: 15, 11\/2, 2.1, 0.77, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8817 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-5) + 10\/(-25). Suppose f = 3*n + 33 - 210. What are the prime factors of n?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 166538 divided by 2\nAnswer: 83269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 PM and 10:21 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of -b**5\/20 + 7*b**4\/6 + 8*b**3\/3 - 536*b. Determine g(15).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - g**3 - 10*g**3 + 1 + 9.\nAnswer: -11*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 15 + 23 = -4*n, -b + 42 = -4*n. Let i(l) = -2*l - 12. Let g be i(n). What is the highest common divisor of g and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 0.627?\nAnswer: -0.1254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*r**6*u**2 - r**3*u**2 - 431*r**2*u**2 wrt r.\nAnswer: 840*r**3*u**2 - 6*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express ((6*p + 0*p - 5*p)*(2*p + p + p) - 2*p**2 + 3*p**2 - 2*p**2)*(0 + 1 + 0) as h*p**2 + g + l*p and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 60685468?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (72\/40)\/((-195)\/50).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -39 in 12, -101, -63?\nAnswer: -63","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 900*c + 351 = 839*c - 259 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - v = 0, -5*v = u - 2*v - 8. Sort 3, 4, u in decreasing order.\nAnswer: 4, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 669386, 1338774, 2008162, 2677550, 3346938?\n\"Answer: 669388*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 240873194?\nAnswer: 2, 120436597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1087191167 to the nearest integer?\nAnswer: 32973","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 74426921 to the nearest integer?\nAnswer: 8627","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1.78, -1\/4, -2\/197, 0.4, -0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 474?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -44 - -43. What is the closest to d in -0.5, 5.1, 1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3748.2 - 3748. What is the closest to 1 in x, -3, 306?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6992304 and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -14*d**4 + 42*d**3 - 36*d**2 + 12*d - 2. Let s(t) = -t**4 + t**3 + 2*t - 1. Let q(z) = -2*s(z) + w(z). Factor q(r).\nAnswer: -4*r*(r - 2)*(r - 1)*(3*r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14980 + -14965. Sort 72, 0, d, 5 in descending order.\nAnswer: 72, d, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r**3\/11 + 1272*r**2\/11 - 2*r\/11 - 1272\/11 = 0. What is r?\nAnswer: -636, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -18*n - 20 + 27 - 18 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -78.9862 rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of q**4 + 304065*q**3 - 3*q - 134831 wrt q?\nAnswer: 12*q**2 + 1824390*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 486717 is divided by 60?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 1509*x**3 - 4*x**2 + 6*x - 2. Is c(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -112 - -106. Calculate the common denominator of 1 + c + (-461)\/(-74) and -69\/8.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1663*((-17 - -11) + -13). What is the greatest common divisor of l and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 51*w**2 - w + 1. Let q be g(1). Suppose 8 = f - q. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 44776, 44778, 44782, 44788, 44796, 44806, 44818?\n\"Answer: k**2 - k + 44776","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 + a**2 + 3*a + 3. Let i be w(-1). Let g(m) = 17*m - 47 - m**i + 47. What is the tens digit of g(11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, -1\/7, 1\/3, 0.31, -29\/6 in ascending order.\nAnswer: -29\/6, -1\/7, 0.31, 1\/3, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/20)\/(7\/(-70)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27 is divided by 27.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0916479 times -1?\nAnswer: -0.0916479","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-8)*q*q)**(-1\/6) assuming q is positive.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5 - -7)*3*(-4)\/(-3). Let z(h) = -h**3 + 7*h**2 + 11*h + 1. Give z(t).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*b - 4*a, -3*b + 0*a + 12 = -3*a. Let j(t) = t**3 + 4*t**2 - 2*t - 2. Let y be j(-4). What is the greatest common factor of y and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 56 (b) 20 (c) 5 (d) 1.2 (e) 0.6 (f) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*i + 14*i + 3*o + 10 = 0, 4*o - 6 = 5*i + 19 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**4 - 32*k**3 - 48*k**2 + 128*k + 256.\nAnswer: -4*(k - 2)*(k + 2)*(k + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -8*x**2 - 8*x + 13. Let i(p) = p**2 + p - 1. Let n(s) = -a(s) - 6*i(s). Is n(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -4 + (10 - 6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 5*i - 8*i - 3307, 2*v - 6590 = 3*i. Calculate the remainder when v is divided by 1093.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 = -149*p + 145*p. Calculate the remainder when 268 is divided by p.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3 and -2860667466010?\nAnswer: 2860667466013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*s**4 + 0 + s + 0 - 2*s**4 - 1 + 4*s**3 in the form l*s + o*s**2 + r*s**3 + i*s**4 + t and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 - 12*b**2 + 13*b + 3. Let d be y(11). Find f such that -f**5 - 22*f**3 + 4 + 0*f**5 - 13*f + 7*f**4 + d*f**2 - 3*f + 3*f**3 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(120) + sqrt(120)*1 - sqrt(120) - sqrt(120))\/sqrt(5))\/(sqrt(8) + (sqrt(392)\/sqrt(7))\/sqrt(7)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 0. Suppose 24*q = 31*q - 14. Solve 2*y + o*y = q for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 410\/35 + 2 + (-4)\/(-14). Calculate the greatest common divisor of p and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c. Let k(x) = 7*x - 9. Determine -k(s) - 5*w(s).\nAnswer: -2*s + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -33 - -35. What is the lowest common multiple of y and 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, 6, 41, 90, 153?\nAnswer: 230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/6*(1\/4)\/((-25)\/(-10))?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-102)\/1224*0\/6 + -27.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 48 + b + 832*b**2 + 826*b**2 + 208*b**2 - 10*b**2 wrt b.\nAnswer: 3712","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 658254?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -417917000 to the nearest one million.\nAnswer: -418000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (80 - 2*l**3 - 214 + 4*l**3)*(-2*l - l + l) to g*l**2 + p*l**4 + a*l + b + q*l**3 and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 94936406?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -2016100\nAnswer: -1\/504025","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -2 - 38. Suppose 0*v + 2*v + 10 = 0, 0 = -u + 3*v + o. Let d = -0.13 + 5.13. Put 4, u, d in ascending order.\nAnswer: u, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -301 (base 4) in base 7?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 93.07 + -93. What is the biggest value in -2, -0.04, y, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21697953.\nAnswer: 3, 241, 30011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/(-6))\/(1\/9). Suppose -6 = -3*y + 2*g + 2, q*y - 1 = -5*g. Suppose -y*b + 24 = b. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 366031536 to the nearest integer?\nAnswer: 715","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - t - 3 = -i, 3*t = 0. Suppose -5 = -2*g - i. Let s be (2*g)\/((-7)\/7). Sort -5, s, 3 in decreasing order.\nAnswer: 3, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*x + 6*x - 5*x + 1560 = -6*x for x.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -2*j**5 + 88*j**4 - 698*j**3 - 6588*j**2 + 7200*j = 0.\nAnswer: -6, 0, 1, 24, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 829, 1654, 2479?\n\"Answer: 825*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.41 - -5.\nAnswer: 8.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 582432 is divided by 291207.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129 is divided by (-13981)\/(-209) + 8\/76?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -29\/2 - -15. Which is smaller: 1.1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 690 = -10*z. List the prime factors of z.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -58476 (base 16) in base 6?\nAnswer: -11430010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1290 - 1296 - l**3 + 2583 - 8*l**3 + l**4 + l to the form s*l**2 + t + g*l**4 + q*l**3 + y*l and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1296 and 18?\nAnswer: 1296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 5:40 PM?\nAnswer: 5:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 0.4.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 + 9*h**2 - 7*h + 35. Let a be p(-10). Let c be a - -52*(-8)\/96. Find w, given that -c*w + 1\/3*w**2 + 1\/3*w**3 + 0 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 5*v = 31 - 3, 0 = -5*u - 2*v + 26 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 137627 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/4, 3, -0.5, 350.8, -0.2, 7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4726 + -560?\nAnswer: -5186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -5*j. Let n = 5206 + -5204. Let i(d) be the first derivative of 0*d - 1\/2*d**n - 30. Determine 3*h(x) - 12*i(x).\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2 + (-24)\/(-18))*138\/(-10) and 157\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + u = 0. Suppose 0 = -u*x + x. Let w = 2 + x. Calculate the lowest common multiple of 10 and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 2*l + 5*y - 55 = 0, -5*l = 3*y - 45. Suppose -25 = z - l*z. Let p be (2 + -2 + z)*1. Solve 5*a = -2*j - 6 + 23, j - p*a + 29 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 62*a - 62*a - a**5 - 8*a**2 - 2 + (-2*a**3 - a**4 + 2*a**3)*(0 + 0 - 3*a) + 2*a**5 - 2*a + 2*a.\nAnswer: 4*a**5 - 8*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21562.\nAnswer: 2, 10781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 2*p + 27. Let s = p + 11. Suppose -5*t + 9 = u, 0*t + s*t + 23 = u. List the prime factors of u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dfa when three letters picked without replacement from aaopfduo?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2736798 by 6.\nAnswer: 456133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 34817 + -2933. Let t be (254\/(-152))\/(1\/(i\/8127)). Let m = t - -2\/5719. Find the common denominator of -32\/3 and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -0.2, -1\/5838, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -w**2 - 143*w - 4462 = 0.\nAnswer: -97, -46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9ecc (base 15) to base 6.\nAnswer: -420033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 5*q + 43. Let s be o(-8). Let h be 72\/189 + (-2)\/s. Which is the nearest to 0.27? (a) h (b) -4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*s**2 + 2*s**4 - 9*s + 0*s**4 + 33*s**2 - 19*s**2 to h*s + r*s**4 + z + g*s**3 + q*s**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 104139?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -22*y**2. Let c(b) = -1484*b**2 + b + 1493*b**2 - b. Let w be -40*((-4)\/(-6))\/((-5)\/3). Let v be (-8)\/(w\/18) + (-3)\/1. Determine v*c(t) - 5*k(t).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6 - 0) + -66 - (-47 + 57)) + (0 - 12)?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + (-4 - 12) - (0 + 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 - 5*u**2 + 11*u - 16. Give a(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -41*y. Let v(h) be the first derivative of 55*h**3\/3 - 3242. Determine t(v(n)).\nAnswer: -2255*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.2 - -0.3. Let x = -1051 + 1050.6. Which is the third smallest value? (a) -8 (b) d (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 5) to base 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -2036*v + 2036*v - v**3 - 1 - 2*v**3. Let n be b(-1). Solve n = o + 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9379 divided by -9379.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o - 16. Let z be j(-10). Let b = 9 + z. Let d = 6 - 1. Solve -6*w - 3*x = -4*w + 9, d*w + 18 = -b*x for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99611?\nAnswer: 99611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5641*h**2 + 1881*h**2 + 9*h**3 - 13160*h**2 + 5638*h**2.\nAnswer: 9*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 5*(-5 - -17)\/60\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/3828 and -49\/8.\nAnswer: 7656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -4*v**2 - 14*v - v + 3*v**3 + 2*v - 2*v**3. Let r be n(18). Suppose -3*z - 2*c + r = 2*c, 7187 = 5*z + c. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 177491 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (18\/15)\/(4\/(-10)). Find the common denominator of 91\/2 and (-2)\/(-24)*158 + w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -35755*2*275 - 2. Let m = b + 6765252. What is m rounded to the nearest 1000000?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 84 = 17*m + 22*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 390 and 9620.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2*(35\/10)\/7. Let z(o) be the second derivative of -7*o**5\/20 + o**4\/3 - 5*o**3\/6 - o + 266. Let a(q) = -q**3 + q**2 - q. Give f*z(r) + 4*a(r).\nAnswer: 3*r**3 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ei when two letters picked without replacement from {i: 2, v: 2, e: 2, s: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*j - 4*j - 46 = 0. Solve 0 = -2*p + j*i + 1 - 5, -4*i = -8 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of 3\/2*x**2 + 1\/6*x**3 + 1\/20*x**5 + 2*x + 0 + 5\/12*x**4. What is the units digit of n(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - 359 - 19 = 0. Is 3 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -153 - 54*k + 91*k - 35*k + 24.\nAnswer: 2*k - 129","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.14 times 6.1\nAnswer: 0.854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -531*h - 27457. Determine y(-55).\nAnswer: 1748","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-3\/14)*l**(-15\/7) assuming l is positive.\nAnswer: l**(-33\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of a**4\/4 + 4*a**3 - 17*a**2\/2 - 13*a - 8. What is the remainder when s(-13) is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1579988 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -34 - -34. Let j be m\/(1*(-3 + 1)). Solve 2*o + 0*y + 26 = -4*y, 3*o - 4*y - 11 = j for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 15 - 18 = 0. Factor -5 + 29 + 18*l - s*l**3 + 30*l**3 - 9*l**2.\nAnswer: -3*(l - 2)*(l + 1)*(l + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 529, 706, 881, 1054, 1225, 1394, 1561?\n\"Answer: -u**2 + 180*u + 350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 744425633 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 120 and 480?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1900) + -3 - 2*(sqrt(1900) - (sqrt(1900) + 1 - sqrt(1900) - sqrt(1900))))**2.\nAnswer: 40*sqrt(19) + 7601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - 5.85. Let v = -0.15 - m. Is 1 bigger than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/21 of a week in hours?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.87 (b) -3\/4 (c) -1.86 (d) 3\/20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14970.\nAnswer: 2, 3, 5, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1003 - -1002. Which is the smallest value? (a) 0.2 (b) -3 (c) w (d) 24\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -k**4\/6 - 187*k**3\/3 - 34969*k**2\/6 = 0?\nAnswer: -187, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 2*i + 80 = 2*i, 4*y - 3*i - 225 = 0. Let j = y + -42. Suppose -16*r = -17*r + 33. Calculate the remainder when r is divided by j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8871)\/1080 + 8 - 2*1\/(-9). Let g(z) be the third derivative of 0 + z**2 + 0*z**4 + 0*z + c*z**6 - 1\/30*z**5 - 1\/3*z**3. Determine g(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 11, -16, -7, -2.8?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -97066 by 48533.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -35d585 - 0?\nAnswer: -35d585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**23)**(-11)\/(s**17\/s*s)**(16\/5) assuming s is positive.\nAnswer: s**(-1537\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1993425 and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1784 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 AM and 3:43 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/24*18\/(-30).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 + n + 12 + 13.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of -k**5\/20 + 7*k**4\/12 - 2*k**3\/3 - 2*k**2 - k. Let r be c(6). Let x(w) = 8*w + w**2 - r*w. Let v(m) = -m. Calculate v(x(g)).\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(14\/525*3\/2).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*o = 52*o - 453. Let r(u) = -2*u**3 + 4*u**2 - 3*u + 4. Give r(o).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 + 126*a**2 + 124*a + 325. What is z(127)?\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 388341395 to the nearest integer?\nAnswer: 19706","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73 = 74*d + 1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 11:01 AM?\nAnswer: 12:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.71396 rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -127, -177, -225, -271, -315?\n\"Answer: a**2 - 53*a - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 30381341 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -4*z + 172, -2*z + 3*z + 3*x - 51 = 0. Which is smaller: z or 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -125 - 96 - 103 + 533 - 93 - 104 + 6*f.\nAnswer: 6*f + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 42, 3, -0.5?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_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: Which is smaller: -483199 or 26\/33?\nAnswer: -483199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(-1)*(-456)\/(-1824)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 39*f - 194. Let x be d(6). List the prime factors of x\/(-120) + 6218\/6.\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9640090 rounded to the nearest one million?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (4*sqrt(637)*2 + -3 + -6*(sqrt(637) - (0 + sqrt(637) + sqrt(637)))*-2)**2.\nAnswer: 168*sqrt(13) + 10201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16227792 and 126?\nAnswer: 16227792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1313320843 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4133*l**4 + l**3 - 29965*l**2 + 1 wrt l?\nAnswer: 99192*l + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 384.664 - 384. Let q = -0.6 + j. Which is the nearest to 1\/4? (a) -0.3 (b) q (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/15*-15 - 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.0303 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 5684?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 98, 40, 2, 7, 1, -62.\nAnswer: -62, 1, 2, 7, 40, 98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*k**5 - 14688*k**3 - k**2 - 4*k - 790408 wrt k?\nAnswer: 160*k**3 - 88128*k - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of d**6\/120 + d**5\/10 - d**4\/4 + 3*d**3\/2 + d**2. Let y be a(-7). Let z(n) = 3*n + n**y + 3*n - 5*n + 0*n + 1. Determine z(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 51 and 1041447.\nAnswer: 17704599","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*h + 7481 - 14958 + 7496 + 901*h**5 wrt h?\nAnswer: 18020*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2*s**2 - 6*s + 1. Let y be 2 + 2 + -2 + 2. List the prime factors of r(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 190 a factor of 352070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o and 1 g when four letters picked without replacement from {o: 9, m: 1, g: 4}?\nAnswer: 48\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22 - 22. Suppose 0*a - 5*a + 60 = s. What is the least common multiple of 18 and a?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/4 and -1*(5 - 6) - (-939)\/(-540)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a gram in milligrams?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -46199858, -46199860, -46199862, -46199864, -46199866?\n\"Answer: -2*q - 46199856","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 3*r**5\/2 + 120972*r**4 - 241965*r**3\/2 - 725841*r**2 = 0.\nAnswer: -80649, -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1004099 to four dps.\nAnswer: 0.1004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4515974?\nAnswer: 2, 2257987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -0.013.\nAnswer: -0.052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 5*y**3 - 2*y**2 + 4*y. Let p(i) = -6*i**3 + 2*i**2 - 3*i. Determine 3*m(t) + 4*p(t).\nAnswer: -9*t**3 + 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 2914074?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 18851022 divided by -9425511?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in fifty-one fifths of a millennium?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (((-99)\/(-36))\/11)\/(-1)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -97 - -53. Let s be 19\/(-3) + h\/66. Let b(y) = y**2 - 3*y - 5. What is the remainder when b(s) is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5936\/(-290) + 93*88\/118668)\/(16\/10).\nAnswer: -51\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 - -3. Let f(s) = 4*s - 3. Let i(b) = 6*b - 5. Suppose 0*h + 2*h = 10. Give h*i(c) + o*f(c).\nAnswer: -2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -104*91\nAnswer: -9464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4 - 5)*(-141*t**2 + 79*t**2 - 85*t**2 - t).\nAnswer: -147*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -1864.2024 to 0 decimal places.\nAnswer: -1864","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 4 = 2. Let o(a) = a**2 - a. Let y be o(-3). Let j = f + y. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 (base 7) in base 14?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-60)\/21*364\/(-8). Suppose 0 = 5*y + 3*d - 122, 3*y - 8*y + n = 5*d. Calculate the remainder when 39 is divided by y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 515a51 (base 11) in base 4?\nAnswer: 3022012221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u**2 + 92*u - 962. Let l be h(16). What is the nearest to l in 96, 3\/8, -4, -10?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*((h**(-2\/11)*h)\/h)\/h)\/h)\/h*(h**(-7)*h)\/h)\/(((h*(h\/h**(-2\/15))\/h)\/h)\/h**(-1\/2)) assuming h is positive.\nAnswer: h**(-3239\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 449185*q - 448867*q - 20988 = 0 for q.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 482*r - 488*r = -132. Sort r, -1, -5, 1.\nAnswer: -5, -1, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/d**(-9)))\/d*d*d**(-1\/12))**(-2\/35) assuming d is positive.\nAnswer: d**(109\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 284106157 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -88845626174 - 27.\nAnswer: -88845626201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2*o + 10. Let m = -330 + 338. Calculate j(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence akkj when four letters picked without replacement from akdkdj?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 - 1. Suppose -10 = -124*f + 126*f. Let h(t) = 2*t + 15. What is the remainder when u is divided by h(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 192889 - 92112. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/9 and 45\/41.\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 5*k - 2 - 1 = 0, k = -1. Let z be 2*(-4)\/16*a. Which is bigger: 16\/7 or z?\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 104 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 388.0588t in grams?\nAnswer: 388058800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 2*m - 13 + 3 = 0, -w + 20 = 4*m. Which is the second smallest value? (a) 4 (b) 0.4 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3538 - -4990. Does 87 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-1 + 16\/14). Let q(j) = 3*j - 5. Let n(y) = 4*y - 13 + 6 + 1. Let k(b) = -4*n(b) + 5*q(b). Give k(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6113837 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 272633?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 5841137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 250161*n + 56*n**3 - 250161*n.\nAnswer: 56*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -5*f**5\/2 - 45*f**4 - 80*f**3 + 5*f**2 + 165*f\/2 + 40 = 0?\nAnswer: -16, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -421*x + 16. Does 33 divide o(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*q - 10. Let m = -1523\/9 - -169. Let h = -1.9 + 2. Which is the nearest to 0.3? (a) h (b) m (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2249945783 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 182 - 179. Suppose 300 = f*d - 5*m - 427, 2*d - 494 = m. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g**2 - 3*g + 1. Let a be j(2). Suppose 0 = a*v - 3 - 3. Let c = v - -2. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 0. Suppose -5*n = d + 4, -2*d + n - 2 = -z*d. What is the remainder when 21 is divided by 12 + -2*d\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23952 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -137.2 * -0.5\nAnswer: 68.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 9 = -5*w. Suppose 4*f = -o + 6*o + 31, -4*o - 24 = -w*f. Solve -q + 4*i - 12 = 4, -3*q + f*i = 16 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-56*61\/6832)\/(((-3)\/30)\/(-1))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 258.6 + 0.5.\nAnswer: 259.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2 + 2)*(-1 + 6 + 3)*(v**3 - 4 + 4) to the form p*v**3 + m + j*v + o*v**2 and give p.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(3) + 2) - ((sqrt(3) + -2)*6 - sqrt(3))**2.\nAnswer: -211 + 124*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 0 - 3 - ((-36)\/(-2))\/(-2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*j + 16*j**2 + 4*j + 0*j to i + q*j**2 + d*j and give q.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -696 = -4*z + 196. What is the remainder when z is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -5*x + 4*x. Let a = -8 - x. Solve -a*i + 4*c + 17 = -6, 5*i - c - 17 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 820, 823, 828, 835, 844, 855, 868?\n\"Answer: q**2 + 819","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 r when two letters picked without replacement from {o: 3, c: 3, w: 1, j: 1, r: 2, u: 1}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 PM and 4:10 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 + 11*l**2 - 13. Let a be g(-11). Let t(o) = o**3 + o + 15. Let z be t(0). Let m = z + a. Solve r - 4*j - 26 = 3*r, m*j - 17 = 5*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/sqrt(96))\/(sqrt(2) + sqrt(14)\/(sqrt(7)*1)).\nAnswer: sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 2*i = i. Suppose i = 6*y - 189 + 27. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, -5, 442, 5, 161 in descending order.\nAnswer: 442, 161, 5, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -26*b - 20. Let d be k(-3). Let w = -56 + d. Solve n + 1 = 2*c, n = 5*c + w + 3 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (290\/15)\/((-4)\/(-6)). Suppose z = w - 13. Calculate the highest common divisor of 28 and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31504345?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -181*v - 45*v - 26*v - 97*v + 0*v in the form j*v + x and give j.\nAnswer: -349","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -3*o + 403, 7*u - 8*u - o = -100. Let m(j) = -34*j - 5. Calculate the remainder when u is divided by m(-1).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 + 3*u - 1. Let d be n(-3). Let a(h) = -7*h**3 + h**2 + 2*h + 1. Calculate the remainder when a(d) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 - 4*v**3 + (10*v**2 + 2*v**2 + v**2)*(3 + v - 3 + 0 + 0 - v + (0 - 1 + 0)*(-2*v + 5*v - v) - v + 0*v + 0*v).\nAnswer: -43*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-198)\/3432)\/((-18)\/4))\/((-2)\/(-12)).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*l**2 + 5*l**2 - 14*l**2)*(7*l - 4*l**3 - 7*l) - 3*l**5 - 2*l**5 - 2*l**5.\nAnswer: 49*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of -z**6\/120 - z**5\/20 - z**4\/12 + z**3\/6 - 86*z**2. What is r(-4)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 739?\nAnswer: -4\/739","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 77.1 + -81.1. Let s = -0.174 + 0.074. Put o, s, 0.5, 2\/9 in decreasing order.\nAnswer: 0.5, 2\/9, s, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 25*g**2*m + 7*g**2 + 2479*m wrt g.\nAnswer: 50*g*m + 14*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 936, 1874, 2812?\nAnswer: 3750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = h - 4*q + 24, 9 = 3*q. Let l = h - -8. What is the tens digit of (-1242)\/(-66) - (-2)\/l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 116595*f**4 - 193*f**2 - 212*f - 1973798 wrt f.\nAnswer: 1399140*f**2 - 386","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 65 + 7b8?\nAnswer: 861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(180) + -1) + 4 + -3*sqrt(180) + 2)*2*-1)**2.\nAnswer: -480*sqrt(5) + 2980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -189 < 26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 3 - 1 + 4*p - 1. Let m(f) = 12 + 6 + f - 18. Calculate -2*m(i) + z(i).\nAnswer: 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l**(-2\/7)\/l*l)*l**(-2\/9))\/(l*(l**(-1\/2)*l)\/l*l*l)**(38\/5) assuming l is positive.\nAnswer: l**(-1130\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 2 = q. Let p(w) = -w**2 + 5*w + 8. Let c be p(q). Suppose 0 = 12*z - 22*z + 40. Solve z - c = o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbv when three letters picked without replacement from {b: 2, p: 1, v: 5, g: 1}.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -f + 6 - 3, -f + 3*x = -3. Suppose -f*d + 5717 = 2*u, -2*u - d + 3*d + 5732 = 0. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*a - 4*a + 923 = 0. Let y = a - -167. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24156.47nm in micrometers?\nAnswer: 24.15647","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - 0)*(-3)\/(-9). Let x(u) be the second derivative of 0 + 0*u**2 + r*u**4 + u + 0*u**3. Let y(f) = -2*f. Calculate y(x(i)).\nAnswer: -8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -3*q**3 - 5868975*q**2 - 2870414432661*q - 8611190477289 = 0?\nAnswer: -978161, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 - (4 + 27) - 33?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, 17, -4 in ascending order.\nAnswer: -4, -3, 3, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0, 1\/25, -2\/35, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 46.3 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 300, 402, 682, 1230, 2136, 3490?\n\"Answer: 15*r**3 - r**2 + 286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2\/3891?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10011001 - 10110110111011011?\nAnswer: -10110111001110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) 132 (c) 0 (d) -967\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27 - -30. Solve 0 = 5*f - h*f - 4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 434613245?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/1*1 + 6 - -1. Suppose u*x = 10*x + 55. Calculate the greatest common divisor of x and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1397 - cc?\nAnswer: 1298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*f**2 + 9*f**2 - f**5 + f**2 - 2*f**5 - f**2 + (0 - 3 + 2)*(f**5 + 3*f**3 - 3*f**3).\nAnswer: -4*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 100 - 14?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 AM and 8:03 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-39)\/39*3*-1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 662 is divided by 215.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*o**2\/5 - 250032*o\/5 - 50007 = 0. What is o?\nAnswer: -1, 83345","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 + 26. Let x be (w\/(-5))\/((-3)\/(-15)). Round x to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22633\/12215962 + -3\/1958. Which is smaller: u or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-289)\/1)\/((-211004)\/(-24824))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7203?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 - 16.4. Let x = 2.8 + s. Let n(j) = -5*j - 20. Let g be n(-5). Which is the third smallest value? (a) 2\/9 (b) x (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-9)*(-15)\/4*27\/(-5805).\nAnswer: 2\/129","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/83570 and 45\/3014?\nAnswer: 919270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3039*b*u**4 + 19*b*u**3 - b*u**2 + 215*b*u - b + 297*u**4 + 18*u**2 + u wrt u?\nAnswer: -72936*b*u + 114*b + 7128*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 PM and 7:02 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1327 - -1327.1. Suppose -4*y - 5 = 39. Which is smaller: y or z?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2*f**2 + f - 2. Let y be w(-2). Let r(q) = -2*q**2 - 2*q + 5. Let d(x) = x**2 - 1. Calculate y*d(j) + r(j).\nAnswer: 2*j**2 - 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 167 - 132. Calculate the greatest common divisor of m and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 361142 to the nearest integer?\nAnswer: 601","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - -40?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 6:38 AM?\nAnswer: 7:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 + 0 + 0 - -4. Find the first derivative of -6*o**3 + k - 3 + 3*o**3 wrt o.\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9808 by 8.\nAnswer: 1226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (10 - 2) + (-19 - -4).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -829*m**3 - 376*m**3 + 1212*m**3.\nAnswer: 7*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jgxx when four letters picked without replacement from {j: 2, g: 4, b: 1, e: 1, x: 7}.\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.02 - 1.02. Let q = -42223 - -42226. Put q, y, -3\/7, 2\/9 in increasing order.\nAnswer: y, -3\/7, 2\/9, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of -y**4\/24 - y**2. Let c(a) be the second derivative of -11*a**3\/6 - 3*a. Give c(r(w)).\nAnswer: 11*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180*o = -98*o + 562*o - 60174 + 7366 for o.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*j - 11*j + 6*j + 0*j - 5*j + 52*j - 9*j.\nAnswer: -16*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15? (a) -1 (b) -25 (c) -2 (d) -3 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -613?\nAnswer: -2\/613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.077 * -581.23\nAnswer: 44.75471","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 603 divide 9810025?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9\/8? (a) 0 (b) -2 (c) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-3 - 380\/(-125)). Suppose 5*k + g = 7*k - 2*m, 6 = 2*m. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1534040 divided by -1534040.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 25 - 119. Suppose 6*b = 2*b + d. Calculate the remainder when 21 is divided by b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 7, -14, 0, -2.\nAnswer: -14, -2, -1, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1130\/3955*(2\/3)\/(4\/3)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1396181 is divided by 32465?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 4*j - 4. Let w be p(2). Let g(v) be the second derivative of -v + 0 - 5\/18*v**3 - 1\/60*v**5 + 1\/9*v**w + 1\/3*v**2. Find m, given that g(m) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7063 and 10902245.\nAnswer: 1009","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-2))**(4\/17))**(29\/5) assuming w is positive.\nAnswer: w**(-116\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r**2 + 2803588*r - 5607192 = 0. Calculate r.\nAnswer: -700899, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 PM and 2:37 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 501 a factor of 3848181?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42, -51, -62, -75, -90?\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - -1. Suppose 77 = t*h - 3. Suppose 0 = -m + 27 + 4. Calculate the remainder when m is divided by h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = s - 15*g + 16*g, -6*s = -5*g for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.42 - -2.32. Let l = 6 + -4. Let u = l - n. Which is smaller: u or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8*-45\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-468)\/130*(-770)\/(-66).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (495\/36)\/((2450\/112)\/35).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 260760641?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-6)*n)**(7\/8)\/(n*n*n**6)**(-4\/23))**(5\/9) assuming n is positive.\nAnswer: n**(-305\/184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -125 + 8. Suppose -n + 3*p = -4*n + a, 20 = 2*n + 5*p. Solve -3*j + n = -0*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 3 = 4*x, 6 = 3*x - z - 2*z for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 131\/382 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((12 - 5 - 52) + -5 - -7) + -6\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1331 = 193*h - 426 - 752 for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - h = 2051 + 848, -3*b - 2911 = 4*h. Which is smaller: b or -962?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence joco when four letters picked without replacement from czocjocojojcjccj?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 - 4*b + 3. Let g be (787 - 788)\/(1\/(-4)). Suppose -l - 2*l = 42. Let u be 38\/l - (-4)\/(-14). Let h(m) = m**2 - 5*m + 4. What is g*j(d) + u*h(d)?\nAnswer: d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1*20)\/(-3*(-6)\/(-9)). Calculate the greatest common divisor of b and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -75\/572 and 83\/2236.\nAnswer: 24596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -265 + 271. Solve -2 - 22 = -x*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1713*a - 1234*a - 958*a to the form h*a + g and give h.\nAnswer: -3905","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 22*k**2 + 98*k + 49. Let z(h) = -15*h**2 - 65*h - 31. Give 7*g(u) + 11*z(u).\nAnswer: -11*u**2 - 29*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 28150442?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000037002 rounded to 7 decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2247544, -2247545, -2247546?\nAnswer: -2247547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*w - 5 + 5 + (-w - 3*w + 3*w)*(0 + 5 - 3) - w + 3*w - 3*w - 6*w + w + 3*w + 4*w - 3*w - 3*w + 13*w - 5 + 5.\nAnswer: 10*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - 306?\nAnswer: -302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in -0.2, 11, 0.5, -18?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1257*p**2 - p + 2548*p**2 - 1372*p**2.\nAnswer: -81*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*4\/52 + 13\/(-676)*-772. Solve c - d = -7, -3*d + 46 = -5*c + t for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*i**3 - 2544*i**2 + 204032*i + 1797120 = 0. Calculate i.\nAnswer: -8, 104, 540","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 115 divided by -1117.\nAnswer: -115\/1117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 + 5*z**2 + 4*z - 1. Let x be j(-3). Find the third derivative of -31*c**x - 35*c**2 + 23*c**2 + 2*c - 15*c**2 + 0*c - 3*c**5 wrt c.\nAnswer: -2040*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.217534 - -0.08?\nAnswer: 14.297534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 45 - 43. Let r(n) = -n - 4. Let j be r(-6). Suppose 3*z = j*m + 1, 2*m + 4*z - 8 = -2*m. Solve x + q - m = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 36217.\nAnswer: -3\/36217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 11 = 3*t - 3*r, 0 = -4*t - 3*r + 1. Suppose t*p = -2*z + 50, -3*z + 20 = p - z. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 5211 = -126*a + 7521, 5*a - 5*z - 490 = 0 for a.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, 2, 3\/5, 0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 708 divided by 6\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -20033012130 (base 4) to base 15\nAnswer: -2c9a89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/2*((22 - 54) + 33).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (92774 - 16) + -8 + 10 + -5?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-16)\/18 + 18\/(-162). Let d = y + 46. Suppose d = -w + 175. Is w a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.669 greater than or equal to -0.08?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 506, 1050, 1596, 2144?\n\"Answer: i**2 + 541*i - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (36 + -45 - (-37 + 2)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70 = -4*b + 70 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, -65, -147, -261, -407, -585, -795?\nAnswer: -1037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-4) - (5436\/8)\/9. Let f = y + 80. Solve 3 + 10 = 3*v - 2*m, -f*m = -v + 1 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 226 - 278 - 32*t**3 + 235 wrt t.\nAnswer: -96*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11892)\/(-30721)*-4*(-3)\/(-48).\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -160 - -164. Let a(h) = 4*h + 21. Let f be a(-6). What is the second biggest value in s, f, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -256, -1024, -2302, -4090, -6388, -9196?\nAnswer: -12514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/(h\/((h*h\/h**(-1\/50))\/h))*h)\/(h\/(h*h**(-1\/18))))\/(h**(2\/27)\/h*h*h*h**(-2\/39)) assuming h is positive.\nAnswer: h**(17038\/8775)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.1 - -3. Let h be 18\/5*(-36)\/(-54) - (24 - 22). Which is the biggest value? (a) h (b) 0.06 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 5:56 AM?\nAnswer: 7:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*r**6 + 289*r**3 + 22*r**2 + 6*r?\nAnswer: -240*r**3 + 1734","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, 19, 6, -23, -74, -153?\nAnswer: -266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40564?\nAnswer: 2, 10141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one fifths of a litre in millilitres?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + -1. Let s(v) = -v**2 + 9*v - 9. Let m be s(8). Which is smaller: m or o?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 62005.995 minutes?\nAnswer: 43.05971875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5923?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 16 = -4*y. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 350.02 - 345. Let g = r + -0.02. Let v = g - 9. Which is the third biggest value? (a) -2 (b) -1\/6 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - -1. Let q = 516 - 512. Suppose q*x = 5*i - 42, -5*x = -5*i + 6*i + 9. Solve 4*c = 0, -f*u + i = -4*c - 2 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of 4\/7*b**2 + 4\/7*b**3 + 3\/14*b**4 + 10 + 1\/35*b**5 + 0*b. Factor n(s).\nAnswer: s*(s + 2)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 820826308208 from -0.3.\nAnswer: -820826308208.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 683?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 9*k + 40. Let y = -5 - k. Calculate the smallest common multiple of 2 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5\/6, 0.09, 2, -1, 41 in increasing order.\nAnswer: -1, -5\/6, 0.09, 2, 3, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 492, 1936, 4340, 7704, 12028, 17312?\nAnswer: 23556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tosottottjmtss. What is prob of picking 2 s and 1 t?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**2 + 333*g - 1590.\nAnswer: -3*(g - 106)*(g - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.085560155 rounded to three decimal places?\nAnswer: -0.086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - sqrt(2268))*-5.\nAnswer: 85*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 64 and 152?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do 615\/79 and 8 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 740187768.\nAnswer: 2, 3, 30841157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = 3*j - 74, -427*j + 4*v - 20 + 90 = -213*j - 209*j for j.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*p + 23*p - 21*p as k*p + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 21 = -5*h - 3*v, h + v = 1. Let y(r) = 3 - 3*r**2 - h + 0 - 7 + 4*r. Let c(b) = b**2 - 2*b + 4. Give 5*c(m) + 2*y(m).\nAnswer: -m**2 - 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 17774.5095 rounded to the nearest 1000?\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/105 + (-552)\/(-45).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 47310?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133*l + 4445 = -586*l + 84*l for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7773 times 269?\nAnswer: 2090937","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -5 + (-1*1 - -1). Let s = 22 - 9. Let o = 9 - s. Put o, 5, b in descending order.\nAnswer: 5, o, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002174549 rounded to 7 decimal places?\nAnswer: 0.0002175","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3984?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 PM and 4:28 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*q + 20*q - 34*q + 728 = 0 for q.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 4:22 AM?\nAnswer: 6:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4415942 + 4392290 = 162*n for n.\nAnswer: -146","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 4:51 AM?\nAnswer: 11:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 549808 to the power of 1\/2, to the nearest integer?\nAnswer: 741","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -24181 less than or equal to -27\/154?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2929 or -2930?\nAnswer: -2929","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 148780581 - -0.1.\nAnswer: 148780581.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -9*y**4 + 399*y**3 - 888*y**2 + 252*y = 0.\nAnswer: 0, 1\/3, 2, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-45)\/(-12) + -3 + 27\/12. Let k be 7 - (-6 + 3 + l). Solve -k*j + 2*j - 25 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*p**3 - 1631*p + 7645 wrt p.\nAnswer: -6*p**2 - 1631","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 98563850 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 AM and 5:43 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9.92 * -3.\nAnswer: -29.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 + 7*b**2 - 8*b + 2. Let p(g) be the third derivative of g**4\/24 + 7*g**3 - 25*g**2. Let w be p(17). Let y = 51 - w. Calculate s(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 69, 139, 225, 333, 469, 639, 849, 1105?\nAnswer: 1413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(1900) - sqrt(1900)) + -1 + (sqrt(1900) + (sqrt(1900) - (sqrt(1900) + 0)))*-3 + sqrt(1900))**2 + (-4 + -1 + sqrt(1900) + -4)*5.\nAnswer: 130*sqrt(19) + 7559","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -5*f - l - 0, 2*f - 2*l = 0. Solve -2*c + 10 = -3*q, 0*c + 4 = -c - f*q for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 4:19 PM?\nAnswer: 11:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a micrometer in nanometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -4*u - 18. Let x be i(-7). Solve -4*h - 6 = x for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 13 = -15. Let h(g) be the second derivative of 0 + 0*g**y - 1\/3*g**3 + 3*g. Let t(l) = -2*l. Calculate t(h(a)).\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 4187*x**2. Let z(i) be the third derivative of i**4\/24 + 628*i**2 - i. Calculate l(z(o)).\nAnswer: 4187*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 164 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -3. Solve 1 = -b - c for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 4*y = -356, -3*y + y = c - 338. Suppose 0 = -i - 3*i + c. Let w = i + -49. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -39 + -3e2e1f?\nAnswer: -3e2e58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a millimeter in micrometers?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19335 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1105, -6138, -11161, -16168, -21153, -26110, -31033, -35916?\n\"Answer: k**3 - k**2 - 5037*k + 3932","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 6*q**2 - q**3 - q**3 - 4*q - 2 - 5*q**2 - 3*q**2 + 6*q**2. Calculate p(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*s = 23*s - 22. Sort s, -5, -32, 4 in increasing order.\nAnswer: -32, -5, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -598 + 612. Solve 0 = -12*x - y + 2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 + 2*k - 3. Calculate the remainder when 15 is divided by s(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*f + 16 = 10*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 142792099?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.03, 3, 10, 0, 4, -4 in descending order.\nAnswer: 10, 4, 3, 0.03, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l\/(l*((l**(1\/5)\/l)\/l)\/l))**28\/(l**2)**(-3\/25))**(-24\/11))**(-3\/2) assuming l is positive.\nAnswer: l**(95976\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2068443\/136 + -15209. Let d = m - -4\/17. What is the nearest to -0.1 in d, 1\/3, 1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59 = 4*l + 71 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10662568 and 2716.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2718?\nAnswer: 2, 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 16. Suppose -4*n + g = -0. Solve -n*t + 20 - 5 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 - 13*x - 5. What is h(13)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 2. Let j(b) = -4*b**2 - 37*b + 7. Let s be j(-9). Suppose s*x + 20 = -2*n + 20*x, 0 = n - 4*x + 20. Solve n = -o - c + 4 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 + 43*y - 23 + 156*y + y + 44.\nAnswer: 200*y - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 105721, 212341, 318965, 425593?\nAnswer: 532225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15 + -42 + 33 - (0 + -5)) + -7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 2*j + v, -2*j + 2*v + 32 - 2 = 0. Let o = -55 + 51. Let y be (75\/(-132) - o\/(-22))*-24. What is the greatest common divisor of j and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-14)\/(-12) + 6\/(-9). Let q = 649.819 + -648. Let t = -0.181 - q. Which is the closest to 1\/2? (a) 0.4 (b) t (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24.55 - 30.55. Sort -0.14, -0.4, b.\nAnswer: b, -0.4, -0.14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*u**2 - u**2 + u**2 + 8 wrt u.\nAnswer: -8*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 + 9*g + 18. Let j be l(-8). Solve w + j = -3*p, 0*p = 4*p + w + 14 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z + 4. Let o be p(0). Let b(a) = 2*a + o*a**2 - 6*a - 3*a**2 + 7. What are the prime factors of b(5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.65 in -2, 0.3, -2\/15, -4\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -142? (a) 0.2 (b) -0.4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1611.\nAnswer: 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -221657 - -1?\nAnswer: -221656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1007\/3 + -335. Which is the closest to o? (a) -4\/5 (b) 2\/9 (c) 3 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*r - 4484 + 656. List the prime factors of r.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 + 8*w - 18. Let y be a(5). Let l(i) = i**2 - 5*i - 2. Let p be l(5). Is y at most p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9)\/6 + (-6)\/(-4). Suppose 0*k = -k - 5*r + 2, w = -3*k - r + 6. Suppose 6*l - k*l - 4 + 0*l + 3*l**2 - 4*l**2 = 0. What is l?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38802085.\nAnswer: 5, 7, 19, 37, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11448?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -152964573 != -152964579?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2\/3 - 4*s\/3.\nAnswer: s*(s - 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 18\/(-1*33\/3). Suppose -536*m = -538*m - 6. Which is smaller: y or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 25 = -3*q - j - j, -8*q + 4*j = 36 + 4 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2*k**3 - 2*k**2 - 10*k + 5. Let l(f) = -3*f**3 - 3*f**2 - 11*f + 4. What is -5*j(p) + 4*l(p)?\nAnswer: -2*p**3 - 2*p**2 + 6*p - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6791*u - 6638.\nAnswer: -6791","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 3*w - 4. Let i be y(3). Suppose -i*s = z - 2, s + 4*z - 6 = z. Which is the closest to s? (a) 1\/9 (b) -1\/3 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - 7. Suppose q = 4*r + 5*s - 53, 0 = 5*s - 5. 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: Let q(z) = 7 + 10*z - 5*z**3 + 9*z**2 + 0*z**2 + 4*z**3. Suppose -3*n + 2*l = -34, -2*l = -2*n - 7*l + 10. What is the units digit of q(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40*((-3)\/30)\/((-22)\/44)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -3*s, 27*a - 29*a + 2*s + 88 = 0. Sort -5, 5, a, -12 in decreasing order.\nAnswer: a, 5, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 126 + -40. Is p a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b**4\/6 - 35*b**3\/2 + 1367*b**2\/6 + 1691*b\/2 = 0. What is b?\nAnswer: -3, 0, 19, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84.03622mg to grams.\nAnswer: 0.08403622","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 120541940 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5567829 is divided by 927960?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16689873085.86108901 - -16679057251.80109. Let p = g + 10815825.96. Let i = 8.1 + p. Round i to seven dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of d**6\/6 + d**3\/2 - 8*d. Find the second derivative of i(u) wrt u.\nAnswer: 60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1 and -1131.394.\nAnswer: -1132.394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 18463821 or 0.05?\nAnswer: 18463821","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(6\/9*12\/(-16))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -4*j + 33, 68*j - 66*j - 12 = 0. Sort 10, 5, 1, 2, l in descending order.\nAnswer: 10, 5, l, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (10\/6)\/(6\/18) - -593. Suppose 0 = 3*b + 4*m - 326, -4*b + d - 153 = -5*m. Let g be (2\/5)\/(3\/75). What is the highest common divisor of b and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 0, -2 in ascending order.\nAnswer: -6, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 = 7029*d - 7033*d for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 minus -13.286?\nAnswer: 12.886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((1526 - 2)\/(5\/(-5)))\/1. Let v = 529 - k. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -303*v - 72*v + 20818 + 3182 = 0. Calculate the greatest common divisor of 2 and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.9000819 days?\nAnswer: 77767.07616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/8, -0.2, -13, -7?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.118 at least as big as 2921?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -153\/205376 or -1?\nAnswer: -153\/205376","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 303 = -0*b. Let r = -29 + b. Suppose 0 = x + 2*x - r. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(76)*-1)\/(sqrt(4) - sqrt(20)\/(sqrt(125) + sqrt(5))) + (sqrt(190) + (2*sqrt(190) - sqrt(190))*5)\/(sqrt(70)\/(sqrt(7)*-1)).\nAnswer: -66*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5544.19 millennia in decades?\nAnswer: 554419","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 19 + -2 + 2 + -2. Suppose -6 = 4*k - 26. Let t(l) = 23*l + 4. Let j be t(k). What is the highest common divisor of q and j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -625.76 and 1?\nAnswer: 626.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 17 + 3. Suppose -o = -4*b - 6. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.68023 years to centuries.\nAnswer: 0.0968023","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 - 16*m + 10. Let s be w(-12). Suppose 5*l + s = 4*l. Let u be 0\/3 + l\/(-2). What is the greatest common divisor of u and 58?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -61.2775 rounded to the nearest integer?\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 638 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*u = -5*l + 25272 - 25352, u = l + 16 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*4\/(-16) - 18\/8?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*q**2 + 66*q**5 + 184*q**5 + 126*q - 31*q**5 + 2*q**2 wrt q?\nAnswer: 4380*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 4*w + 30 = 0. Let g = 16037 + -15966. Calculate the remainder when g is divided by w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3\/7 - 19326*z**2 - 2289612768*z\/7 - 66285046888\/7.\nAnswer: -2*(z + 29)*(z + 33806)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6185035?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together 105.6 and 3.406.\nAnswer: 109.006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q - 4 - 2 - 8.\nAnswer: -q - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 + 10*u + 8. Let n be b(8). Let w = 16 + -4. What is the greatest common divisor of w and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 522 and 45229878.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + (-2)\/(-3)*-3. Find the common denominator of 2 - z - 450\/72 and -3*(-38)\/(-20) - -1.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-2 + sqrt(242))**2)*3 - 3*(sqrt(288) - (4*(sqrt(288) + 0 + sqrt(288)) + sqrt(288)))**2.\nAnswer: -54573 - 132*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 408\/(-1224)*(-27 + 0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 218.82 + -218.9. What is the nearest to -1 in 2\/7, -0.1, -5, h?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**2\/n)\/n*n\/(n*n**(-3\/2))*n*n\/(n\/(n\/(n*n\/n**13*n*n)))*n**1\/n)**44 assuming n is positive.\nAnswer: n**550","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = 10*u - 138. Let r be 4\/u + 52\/20. Is 18 a factor of (-54)\/48*6*-8*r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67120143 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 945 divide 199528245?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 145779?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -22\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -38 - -74. Let f = 38 - j. Which is smaller: -0.9 or f?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((13\/12)\/1)\/((-681512)\/104848).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 - 3*f - 4 - 2*f + 0 + 0. Let k be 254\/(-1905) + (-428)\/(-60). Determine d(k).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(-2))\/(x**5\/x)*(x*x**(-6)*x)\/x**(3\/5))**(-44) assuming x is positive.\nAnswer: x**(1232\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(39)\/sqrt(3) - sqrt(156)\/(sqrt(12) - -2*sqrt(12)))**2 + (sqrt(13) - (sqrt(13) + (sqrt(13) + sqrt(117) + 3)**2))*4.\nAnswer: -7604\/9 - 96*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 2 = -j. Let n be j\/(12*(-6)\/27). Sort 0, n, -3 in descending order.\nAnswer: 0, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n**5 - n**5 + 0*n**5 + 2*n**5 - 2*n**5 - 2*n**5 + (-3*n**3 - 5*n**3 + 6*n**3)*(-5*n**2 + 3*n**2 + 4*n**2) + (-1 + 1 - 2*n**3)*(-2*n**2 - n + n).\nAnswer: -n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, 5, 14, 23, 32?\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 6*x - 42. Let s be j(8). Let b(r) = 2 - 4 + 4 - 4*r + 7. Calculate b(s).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 53 + -17 + (-12 + 39 - 3) + 15.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1*(-3)\/5 - 1)*(118 + -117). What is the nearest to -1 in -0.3, 0.3, 441, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -61.2 + 67. Let x = 5.6 - w. Which is the second smallest value? (a) 6 (b) -0.3 (c) x (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 72879 + -51434. What is the remainder when s is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/30 + 385\/25*1. Solve 0 = u*z - 42*z + 135 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + q = -66, -5*q = -5*t - 7*q + 192. Is t a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-62)\/155*1*1\/(-2)*-1.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooew when four letters picked without replacement from {x: 1, b: 4, w: 3, l: 2, o: 2, e: 2}?\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4683354 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - 15\/2. Let j = 1785 + -1787. Which is the nearest to j? (a) d (b) 0.1 (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -35 by -20819011.\nAnswer: 35\/20819011","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3.74419 - 4327\nAnswer: -4323.25581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 - p. Let i be k(0). Let w(x) = 21*x + 719. Let u be w(-34). Suppose i = -6*o + u*o + 2. Solve -2*c + o + 4 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 594 a factor of 2882088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3763*h**4 + 55*h**2 + 3.\nAnswer: 90312*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + -9. Let q(n) = 8*n - 2. Let o be q(1). Let v(t) = -o + 4*t - t - 6*t + t. Calculate v(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 210\/(-18) + (-2)\/(-3). Let t = -6 - d. Let u be 1\/(-1) - (4 - 1). Sort t, 4, u in descending order.\nAnswer: t, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - (-2 + 0) - 2. Suppose u*d - 6 = -2*d. Let q be (-2)\/(-1 + d)*-2. Solve q*j = 4*v - 8, -j + 4 = 5*v - 2*j for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8930 to the power of 1\/2, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 35 = -5*r, 2*g - 22 = g - 4*r. Suppose g*y = 11 - 5. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 182 is divided by 72?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1\/3 (b) 5 (c) 0.8 (d) -1 (e) 0.3 (f) 16223\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of p**3\/6 + 6*p**2 - 20*p. Let b(n) = n**3 + 42*n**2 + 39*n - 82. Let v be b(-41). Determine l(v).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2276061692 to the nearest integer?\nAnswer: 47708","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 528 - 528. Suppose 5*k - 2*n - 1228 = i, 2*k - 2*n + 724 = 5*k. Does 14 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.5 - 0.9. Let r = -47\/85 - -6\/17. Let y = -262\/35 - -36\/5. What is the nearest to 1 in y, r, w?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.23 + -62.97. Let p = 65 + i. Which is the closest to -0.07? (a) 0.3 (b) p (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 e, and 1 z when three letters picked without replacement from {z: 2, r: 7, f: 2, i: 1, e: 2, u: 2}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c**2 + 13 - 1 + 2 - 32.\nAnswer: -3*c**2 - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 216018 and 29260620.\nAnswer: 321866820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1327.737 and -79.\nAnswer: -104891.223","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/7)*l**4)**(-4\/11)*l*l**(3\/4)*l*l\/((l\/(l*l\/l**(-1\/6)))\/l*l)*l*l*l*(l\/l**(-1))**(1\/5) assuming l is positive.\nAnswer: l**(31463\/4620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10912\/8)\/62*((-3)\/(-2))\/(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u + 7*u = -203. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 - 5*y**2 + 8*y - 6. Let o be v(4). Suppose -o*z = -5*z - 30. Does 3 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 25*w + 96. Let x(c) = 55*c + 193. Determine 13*f(t) - 6*x(t).\nAnswer: -5*t + 90","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 + 22 = -4*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1017 by -9.\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92*i - 18 = 93*i + 4*p, 21 = -2*i - 5*p. Let y = -10 - -22. Let l(s) = 7*s - i*s - 6*s + y. What is l(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 80 and 601160.\nAnswer: 1202320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 96 and 348?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 252831?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/5 (b) -1 (c) 3 (d) -39851\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 711445386 is divided by 4996.\nAnswer: 4994","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 256944 (base 11) to base 6.\nAnswer: 12400210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x + 4*x + 0*x + 4*x. Let r be q(-8). Let y = 99 + r. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 123\/(-9) - (-8)\/12. Let f = -10 - a. Suppose 2*z + z = -3*b + 132, -b = -f. What are the prime factors of z?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**5 + 217364*o**4 + 434734*o**3 + 217368*o**2 = 0. Calculate o.\nAnswer: -1, 0, 108684","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 0 + 4. Let o be 4\/8 - b\/2. Is (-12)\/(-1) - (o - 2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60030 = 1035*u - 1725*u for u.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4658339 is divided by 69526?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14321 and 1?\nAnswer: 14321","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-232)\/(-29) - (3 - -4). Sort k, -7, 57, 0 in decreasing order.\nAnswer: 57, k, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -1*(sqrt(162) + 2 + sqrt(162) + sqrt(2) + sqrt(288)*-3)**2.\nAnswer: -578 + 68*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y = -0*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -52 + (2528\/128 - -27)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -10\/11, 2, -4.97, -3\/7, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*j - 83416 + 166846 + 19*j - 83430.\nAnswer: 31*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 12*m. Let y(c) = -714*c + 1. Give 5*r(v) + y(v).\nAnswer: -654*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in eighteen fifths of a gram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 518 divide 2126342344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 868476?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + -405626?\nAnswer: -405622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 30\/43123 and -43\/9?\nAnswer: 388107","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (9\/(-3))\/(-1) - 1 and -1*(2\/(-2) + -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.02 in -2\/5, 2\/7, 0, 0.0644, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 12*q**2 + 108*q - 105. Let i(v) = 10*v**2 + 108*v - 106. Let l(k) = -5*i(k) + 4*y(k). Find x, given that l(x) = 0.\nAnswer: -55, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a - 10c21?\nAnswer: -10c2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add -1105.9 and -0.23359094.\nAnswer: -1106.13359094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from ezzee.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 871368?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 5917*m**2 - 13*m - 5. Let s(w) = -2935*w**2 + 6*w + 2. Let d(u) = 5*s(u) + 2*t(u). Let p(c) = -c. What is p(d(k))?\nAnswer: 2841*k**2 - 4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -169 = -42*w - 1. Let f = -9 - -13. Suppose -v + 4 = -5*o, -w*v - v + f*o + 104 = 0. Does 24 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.012 and 47386.\nAnswer: 47385.988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 - 39*b - 36. Let y be v(-38). Suppose 4*g - 3*w = 1597, -y*w = -g + 2*w + 383. What is the tens digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1230 or -1246?\nAnswer: -1246","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -18263664, -18263689, -18263730, -18263787, -18263860?\n\"Answer: -8*l**2 - l - 18263655","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4834069.1 or 3?\nAnswer: 4834069.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 6:38 PM?\nAnswer: 5:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -302 - -4532\/15. Suppose 6*y - 36 = 9*y. Let i be 3\/(-6) - y\/8. Which is smaller: c or i?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35278810?\nAnswer: 2, 5, 7, 503983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 47607, 47610, 47611, 47610, 47607, 47602, 47595?\n\"Answer: -d**2 + 6*d + 47602","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 461 is divided by 36.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -r + r - 152*r**4 + 147*r**4 + 95 - 60*r**4 wrt r?\nAnswer: -260*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express j - 4*j**2 + 2*j**2 - 2*j + (-j - j + 0*j)*(1 - 1 + 2*j) + 8*j**2 + 0*j**2 + j**2 in the form z*j**2 + s + o*j and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15486 by 7743.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 + -1. Let y = -8 + w. Suppose y = l + 4 + 1, 2*g - 9 = l. Solve g*i + 6 = 4 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 763 or 764?\nAnswer: 763","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 8*y + 4 - 4*y**3 - 13 - 7*y**2 + 5*y**3 + 0*y**2. Determine p(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c**3 + 13*c**2 - 6*c + 34. Let l be o(-8). Let v be (-1528980)\/l + (-14)\/(-77). Round v to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*(c\/c**(-6)*c)\/c*c*c))\/c*c*c\/(c**1\/c))**(-5\/2)\/((c*c\/(((c*c**(-2))\/c)\/c))\/(c**(2\/3)*c*c))**(3\/2) assuming c is positive.\nAnswer: c**(33\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 288 - 171. Calculate the highest common divisor of 9 and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 62*z + 11720. What is the smallest common multiple of 315 and r(-175)?\nAnswer: 18270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2238748 and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**5\/(v\/v**(2\/15))*(v\/((v*v*v**(-2\/5)*v)\/v))\/(v*v**(-2\/5)*v))**(-5\/14))**49 assuming v is positive.\nAnswer: v**(-203\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 + -41 - (-2 - 4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m + m + 3*m + 0*m.\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -5*((-3*sqrt(605))**2*-5 + ((-2 + sqrt(605))*4)**2).\nAnswer: 3520*sqrt(5) + 87400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1342 (base 7) to base 3.\nAnswer: -201021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 3:20 PM?\nAnswer: 12:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - o + 12 - 2 - 4.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2117711.\nAnswer: 2117711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qdqpqpdddpdpddpdp. What is prob of picking 2 q?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*q**2 + 4617*q**3 - 4617*q**3 + 1275*q**6 - 74*q wrt q?\nAnswer: 153000*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + -2 + (39 - 18). Suppose 3*m + 2 = j, -m + 4*j = -0*m + p. Suppose -16 = -c - 3*z, 3*z - 20 - 12 = -5*c. Sort c, -3, m.\nAnswer: -3, m, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 499281437 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -2*p**3 - 8*p**2 + 8*p - 6. Let m be k(-7). Suppose 3*d = 5*s + 4*d - 598, -2*d = -2*s + m. List the prime factors of s.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17b140 (base 12) to base 11\nAnswer: 262482","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13.897 in 3\/4, 5\/4, 5, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 PM and 10:17 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.3136 - 1.3136. Sort b, -0.3, 973 in decreasing order.\nAnswer: 973, -0.3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y - 4*y + 0*y)*(-22*y**4 - 16*y**4 + 3*y**4) - 3*y**5 + 0*y**5 + 4*y**5.\nAnswer: 71*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63\/(-2394)*(72\/6)\/(-3).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -541*r**2*w**2 + 5*r**2 - 4*r*w**2 + 2*r - 46*w + 2 wrt w.\nAnswer: -1082*r**2 - 8*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5 + (44\/(-12) + 4)*1833. Let y = i - 614. Let c(x) = -x**2 - 1. What is c(y)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -133 - -132.99999822. What is u rounded to 7 decimal places?\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 333*q + 378*q - 13*q**2 + 373*q - 1084*q + q**2.\nAnswer: -12*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15329366 is divided by 86?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.62, -1, -1\/2, 2, -3.5, -2.\nAnswer: -3.5, -2, -1, -1\/2, 2, 2.62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 177 = -l, 6*r - 393 = -2*l + r. Let m = 238 - l. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 126, 246, 362, 474, 582, 686?\nAnswer: 786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2194630 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -6*i - 5. Let w be x(-3). Let r = 21 - w. Suppose -r*s - 345 = -11*s. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 9:35 AM?\nAnswer: 3:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1156\/63 - 160\/9. Let t be 10\/(-15) + 14\/3. Suppose -t*x - 14 = 6. What is the second smallest value in 1, k, x?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -159*x + 11*x = -1002 - 626 for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of v**7\/1260 + 11*v**6\/720 + v**5\/60 + 5*v**2. Let y(n) be the third derivative of z(n). Is y(12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1278, -2696, -4136, -5598, -7082, -8588, -10116?\nAnswer: -11666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -35, 1, 3276 in increasing order.\nAnswer: -35, 1, 3276","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -110, -441, -1000, -1787, -2802?\nAnswer: -4045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 35066, 35069, 35072?\n\"Answer: 3*l + 35063","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -0*c - 5*c. What is the highest common factor of c and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11253373 + 7651373. What is m rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -69 + 119. Let n = o - 30. Let a be 2\/(-6) - 1\/(-3). Solve a = 3*x + 2*x + n for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -z**5\/4 + z**4\/4 + 77*z**3\/4 + 139*z**2\/4 - 19*z - 35 = 0. What is z?\nAnswer: -7, -2, -1, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 440 = 2112*l - 2068*l for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-19938)\/54)\/(-1) + 2\/(-9) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 220\/8 - 3\/(-6). Let j = 19 - t. Is (j\/(-6))\/(18\/1992) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 266 - 255. Let v(p) = -p + 8 + p**3 + w + 8 + p**2. Determine v(0).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/54*-6)\/((-1)\/18).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7853 - -46979\/6. Let a = -22\/879 - 32939\/53619. Find the common denominator of f and a.\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 - 7*z + 7. Let k be c(2). Let s(i) = i**2 - 2*i - 3. Let b(a) = -a**2 + 3*a + 4. Determine k*b(u) - 4*s(u).\nAnswer: -u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/1210956 and 47\/27.\nAnswer: 10898604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30 and 17423680.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 1311*s + 19627. Determine h(-15).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -90 + 85 + 0*r**2 - 5*r + 4*r**2. Let h(w) = 6*w**2 - 8*w - 8. Calculate -5*h(n) + 8*j(n).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -289 (base 16) to base 12.\nAnswer: -461","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-37)\/5 - 6\/(-15). Suppose 0 = -5*l + 8 + 7. Suppose -r = 4 + l. Is r at most a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*w - 82*w + 1730302 = -30522. Does 63 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 b when two letters picked without replacement from bqbgonbbbqbbbko.\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, e: 3, b: 1, f: 3, v: 5, q: 5}. What is prob of picking 2 q and 1 b?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**4 + w**3 - w**2. Let m(z) = 42*z**3 - 7*z**2 + 52*z. Let u(j) = -4*k(j) + m(j). What is the third derivative of u(v) wrt v?\nAnswer: -96*v + 228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22649 + 22649 + 1238*b**2.\nAnswer: 1238*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q = 4*q. Suppose q = 4*s + s. Which is the nearest to s? (a) 3 (b) -0.4 (c) -5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29.7 + -14.2. Let s = -15.5 + y. Which is the closest to s? (a) 1\/10 (b) 3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-1\/4)\/(s**2\/s)*(s**(1\/2)\/s*s)**(-7\/6) assuming s is positive.\nAnswer: s**(-11\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i**4 - 4*i**4 + 4*i**4 - 2*i**3 + 2*i**3 + i**4 + (-2 - 1 + 4)*(-3*i**2 + 3*i**2 - 2*i**4) - 1559*i**4 - 1752*i**4 - 2*i**3 + 943*i**4.\nAnswer: -2371*i**4 - 2*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -44.47 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 140040 and 360?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 44 and 176?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(288) + 0 + sqrt(288))*6*-5*3 + -2)**2 + -4.\nAnswer: 8640*sqrt(2) + 9331200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 56110967741 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = -6*t + 2*a + 25, -3*a = 15 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 179*d + 33. Let z be -2 + (7\/1)\/(3 - 2). Let a be c(z). Round a to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 8*k**3 + 33*k**2 + 2*k + 30. Let v(m) = -5*m**3 - 17*m**2 - m - 17. Determine 7*v(t) + 4*w(t).\nAnswer: -3*t**3 + 13*t**2 + t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7 or -96\/13?\nAnswer: -96\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0*0.1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2632013?\nAnswer: 19, 83, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(((a\/((a\/a**(3\/11))\/a))\/a)\/a))**11\/((a**(-9\/8)\/a)\/(a\/a**4)) assuming a is positive.\nAnswer: a**(145\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j**2 + j. Let r(p) = -383. What is -m(s) - r(s)?\nAnswer: -2*s**2 - s + 383","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 23138 = z, -19*z + 12*z - 30862 = -4*k. Calculate the highest common factor of 32 and k.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of a**5\/20 - a**4\/2 - 3*a**3\/2 + 29*a**2 + 105*a. What is the remainder when 279 is divided by k(7)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 10*y**2 + 5. Let h(l) = l**2. Let c(x) = 24*h(x) - 3*t(x). What is the first derivative of c(j) wrt j?\nAnswer: -12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -221102 + -2201100?\nAnswer: -10122202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132*k + 7595 = 7*k - 3*k + 19*k for k.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fccifbcicffiifbb. Give prob of picking 1 c, 1 f, and 2 i.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -h**4\/2 + 21*h**3\/2 + 48*h**2 + 50*h = 0.\nAnswer: -2, 0, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1*144\/(-264)*1*2\/(-4)\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 144571.3m in nanometers?\nAnswer: 144571300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -317339*p + 317339*p - 95*p**2. Let w(t) = -9*t. Calculate z(w(s)).\nAnswer: -7695*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 30 + 20 = 5*a, -5*p + a = 30 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -538653694, -538653695, -538653696?\n\"Answer: -b - 538653693","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 - 156 = -4*p. Suppose -2*l - p = -5*o - l, -4*l + 30 = 2*o. Suppose 6*f = 7*f + o. Is f < -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 + 16*r**2 + 2. Let a be x(16). Solve 0 = a*m - 2 - 2 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 378 times 3986?\nAnswer: 1506708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + -16. Let g be ((-36)\/k)\/(3\/40). Suppose 4*n = g + 20. Is n a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = -16*o + 15*o. Let y be (-2)\/3 - (o\/6 - 0). Find the second derivative of -3*u + y*u**3 - 20*u**3 - 9*u + 2*u wrt u.\nAnswer: -78*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(117) - (sqrt(13) + sqrt(325) + 2 + sqrt(13)).\nAnswer: -19*sqrt(13) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 11361821?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 6:32 PM?\nAnswer: 3:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1924 and 10.\nAnswer: 9620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 9, j: 2, p: 5, w: 3}. Give prob of sequence pw.\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 5*c - 3*g, -g + 0*g - 16 = -3*c. Solve 0 = 2*r + 4 + c for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u**2 - 8*u - 2. Let j(l) = -2*l**2 - 7*l - 1. Give -4*j(t) + 3*m(t).\nAnswer: 2*t**2 + 4*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 - 2*d. Let t = -21 + 36. Suppose 0 = 2*v + x - 0 + 5, 2*v + 3*x = -t. Let m = 3 + v. Determine j(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 AM and 1:15 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4 + 7 + (3 - 6). Suppose -u = 3*v - 115, -5*v + i*u = 3*u - 185. Is 4 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100212222202021 + 2?\nAnswer: 100212222202100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1039 by -1.\nAnswer: 1039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 - 6*h**2 - 2*h + 4. Let j be r(-5). Is 4 a factor of (-42)\/j - (-6)\/33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 + 5*z + 6. Let v be f(-4). Let p be v\/20*8\/10. Solve l + 9 = a, 0 = 5*a + p*l - 5 - 5 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-8))\/((-13)\/260).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 1. Let y = -7 + 9. Which is the smallest value? (a) s (b) y (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 44.6 + -44.5403. Let n = 57.2403 + x. Round n to 0 decimal places.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, 4, -1.\nAnswer: -1, 4, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/9 + (-6*(-165)\/(-81) - -5).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*d = 59*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 19*t + 3. Suppose 2*m + 9 = o - 4, 3*m = -5*o. Does 30 divide s(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 391*c - 128*c + 95*c - 19232476. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 11\/4 of a minute?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 62\/(-10) + 4\/20. Let p be (-10)\/l*(-9)\/6. What is the biggest value in -2, p, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 - 27*t**2 + 50*t - 6. Give n(25).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 855 = -2224*n + 2179*n for n.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -5 + 9 + 12\/(-2). Let v = -7.1045 - -0.1045. Which is the biggest value? (a) v (b) 6\/5 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -670*q**2 + 1282*q**2 + 2086*q**2 + 5343*q**2.\nAnswer: 8041*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 5.406 * 0.1\nAnswer: 0.5406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 10*r - 1. Suppose 4*b = 8, -l - 5*b + 1 + 8 = 0. Let x = l + 0. Calculate h(x).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2121661 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 163 times -3\nAnswer: -489","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1672.56 from -26.75.\nAnswer: -1699.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -3*c**3 + 62*c**2 + 90*c + 12. Determine o(22).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -359 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*(r*(r\/r**(-2))\/r*r*r)\/r*(((r*r**(-13)\/r)\/r)\/r*r)\/r*(r**5)**(-2\/49))**(-3\/11) assuming r is positive.\nAnswer: r**(1500\/539)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 75070*p**3 + 8264*p**2.\nAnswer: 450420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(68)*1 + 2 - -1*sqrt(68)*-4)**2*1*3.\nAnswer: -72*sqrt(17) + 1851","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccdmz. What is prob of sequence cd?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 81184578?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.634 + -3.634. Let b = 2.4 - 2. Let z = s - b. What is the closest to 0 in -2\/9, -2, z?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -108*g**3 + g**2 - 247*g wrt g?\nAnswer: -648*g + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/(y\/(y*y**(-1\/10)*y)))*y**(-1\/2))\/(y\/y**(-2\/3))**(-4)*(((y\/(y\/(y*y\/(y\/((y**(-3\/5)\/y)\/y)))))\/y)**(-2\/11))**(11\/3) assuming y is positive.\nAnswer: y**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 675 + (5 - 3) - 0 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 - 205*w**2 + 302*w + 19777. Calculate m(-206).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 9\/2*(-168)\/(-36). Let t be ((-3)\/(-2))\/(c\/56). Let k = 6 + t. Solve -k = -l - l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lyzzuuzyyz. What is prob of picking 1 u and 1 l?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from uuueuuueuuu.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 201*f + 1399. Let c be o(-7). Let u(b) = -5*b - 20. Give u(c).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 + 19. Let g = r - 2. Suppose g*j - 35 = -0*j. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 s when three letters picked without replacement from {u: 4, s: 10, r: 2}?\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*k + 28*k = 0. Suppose -5*j - 4*x + 8*x = -5796, k = -2*j + 2*x + 2318. List the prime factors of j.\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from nbnb.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 160 - 156. Calculate the remainder when 71 is divided by a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 74*t = 72*t - 18, 4*c = t - 16 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25165 is divided by 121?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -18 + 0 - (1168 - 1157)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 157*u + 5*m = 159*u + 4, 0 = -4*u - m - 30 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (72\/(-1440))\/((4\/80)\/((-3)\/4))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8667497687 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -744 or -30466\/41?\nAnswer: -30466\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 75370 to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of -1\/120*l**6 + 0*l + 19*l**2 + 0 - 2\/3*l**4 + 23\/6*l**3 + 2\/15*l**5. Let k be z(6). Which is bigger: k or 2\/9?\nAnswer: 2\/9","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: 2, c: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -0.2, 3\/4, 879\/5, 0.015?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (15\/9)\/(-4*4\/(-48)). Which is the smallest value? (a) -1\/2 (b) 0.3 (c) -3 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -9*p - 14. What is c(-3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, t: 2, h: 4, g: 6}. What is prob of sequence gth?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*d + 168*d + 199*d = -5800 for d.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of t**6\/120 + 8*t**3\/3 + 18. Let s(w) be the third derivative of m(w). Let q(f) = -25*f. What is q(s(d))?\nAnswer: -75*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 8 = a, 4*a - 38 = -4*w - 6. Let y(l) = -4455*l - l**2 + w*l**3 + 2226*l + 2230*l + 1. Give y(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -34205 by 6.\nAnswer: -34205\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23693 is divided by 23677.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123 = 5*n - 3*m - 709, 5*n = -2*m + 812. Suppose 172*a - n*a = 2808. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -576*t - 23 = -s - 577*t, -2 = s - 4*t for s.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -77 (b) -1\/3 (c) 2\/13 (d) -3\/139\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1022076\/83 + -12314. Which is smaller: -1 or z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.11, 1\/9, -70, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -83240*u**3 - 1664812*u**2 + 5743320*u + 828 = 0.\nAnswer: -23, -3\/20810, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8\/31, 5, -0.05 in descending order.\nAnswer: 5, -0.05, -8\/31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.969968 - 0.127538. Let i = -2.0224306 + f. Let p = -0.18 - i. Round p to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q**3 + 927172*q**2 + 16690068*q + 75106764 = 0. Calculate q.\nAnswer: -9, 231811","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = -z + 30. Calculate the highest common factor of 1 and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7609.\nAnswer: 7, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -17*j**2 + j - 2. Let q be d(2). Suppose 3*f = -104 - 181. Let t = q - f. What is the remainder when 106 is divided by t?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 7 (b) -0.2 (c) 6\/11 (d) -7370\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5382 to the power of 1\/2, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -107 + 102. Put 0.12, i, -2 in increasing order.\nAnswer: i, -2, 0.12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**5 + 3*w**3 - 6*w - 3. Let a(b) = b**3 - b - 1. Let v = 18 + -24. Let f(z) = v*a(z) + 2*q(z). Find the second derivative of f(x) wrt x.\nAnswer: -40*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12728?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -187\/30 and 26\/27.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (1 - (-278)\/(-4))\/(158\/(-9796))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 - -4341871?\nAnswer: 4341923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -6516 (base 12) in base 2?\nAnswer: -10101101100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 407 + -395. Suppose -132 = -5*t + 408. Calculate the greatest common factor of t and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3054769 is divided by 3054748?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/2619 at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + o - 7 = 0. Suppose 11*u - 15*u = 5*h - 160, -5*u = 5*h - 165. Calculate the greatest common divisor of h and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 295615570 = -3*n + 107615576, -187999992 = -4*m + 4*n. Suppose 0*j + 5*j - m = 0. Round j to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69954.\nAnswer: 2, 3, 89, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 610 - 20. Let s = -39 - k. Suppose 15*d - 14*d = s. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5355877 at most as big as -5355869?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q + 3*q + 3*q - 9*q.\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -9. Let f = 2399 + -7199\/3. Which is the second biggest value? (a) -3 (b) 2 (c) n (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1778 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 301*p**5\/6 + 1137*p**4\/2 + 803*p**3\/6 - 3367*p**2\/6 - 184*p - 22\/3 = 0.\nAnswer: -11, -1, -2\/7, -2\/43, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 l when three letters picked without replacement from nlslsllssll.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 274966?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*n**2 + 5*n**2 - 3*n**5 + ((2*n - 2*n**2 - 2*n)*(3 + 0 - 1) - 2*n + 3*n**2 + 2*n)*(-1 + n**3 + 1).\nAnswer: -4*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -31*t**2 + 1416*t - 7049. Calculate i(40).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 736001987911808*q**2\/13 - 76733408*q\/13 + 2\/13 = 0.\nAnswer: 1\/19183352","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 286211 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gglcngiaaiciaii. Give prob of sequence ini.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2466*-1\nAnswer: -2466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2 - 1 + 2*s**3 + 6*s + 3*s**2 - 3*s**3 + 1. What are the prime factors of u(4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1166\/9 - -129. Which is smaller: t or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**7\/(y\/y**(1\/9))*(y\/((y**(-10)*y)\/y))\/(y\/(y**(1\/4)\/y)) assuming y is positive.\nAnswer: y**(553\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -774 - -5?\nAnswer: -76a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g**2 + 9. Let z(j) = -31882*j**2. Give o(z(t)).\nAnswer: 2032923848*t**4 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seventeen quarters of a millennium?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -21, -3, 13.\nAnswer: -21, -3, -2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 3*j = -11, 3*k - k - 5*j = 33. Is (-9)\/12 - (-87)\/k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002343229752 to seven dps.\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a - 2*a + 2*a)*(-a - 4*a + 3*a) + (-a + 0 + 0)*(2*a - 2*a - a) - 28*a**2 - 25*a**2 + 39*a**2 - 6*a**2 - 4*a**2 - 12*a**2.\nAnswer: -31*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 73*j - 72*j. Is j less than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of -c**6\/30 + 13*c**5\/25 - 3*c**4\/5 - 16. Let y(p) = 0. Calculate p.\nAnswer: 0, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fifty-one fifths of a meter?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.29 plus 680625681?\nAnswer: 680625681.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -99246*f**3 + 99237*f**2 + 9*f.\nAnswer: -3*f*(f - 1)*(33082*f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 1. Let r(b) = 3*b + 2. Determine -4*h(v) + r(v).\nAnswer: 3*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 + 6*i**2 + 4*i - 5. Let z(v) = -21*v - 227. Calculate the smallest common multiple of z(-11) and r(5).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 46436 + -46795. Is -6118\/17 equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -133 + 52 + 0 + (19 - -3).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = -2*k - 2*k - 36, 2*k + 5*n = -33 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1 and 18322869?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + l = 8, -2 = 3*j - 2*l + 7*l. Calculate the remainder when 10 is divided by j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 + (2 + -3 - -3). Let p(g) = 3*g + 3 - 5*g + 3*g. Let s be p(o). Solve 2*i = s + 3 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -64 - -146. Let w = p - 81.99999967. Round w to seven decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 PM and 11:47 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -40*-0.4\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bxxxbbxbbbxxubxxbbx. Give prob of picking 3 x.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14657918 and 1782.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 5*p, 0*p = 4*p - 2*m - 12. Is 2 - 2 - ((-4)\/p + -1749) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 - 3*h + 4. Let u be c(-7). Let n be -1 + u\/(-4) + -2. Let i be n - 69\/(-3)*1. What is the highest common divisor of 26 and i?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 3) + 0 - ((-2 - -5) + -5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9664998.4248 + 0.008?\nAnswer: 9664998.4328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -6 - 85690\nAnswer: -85696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 42*u**2 + 30*u - 13. Let l(h) = 21*h**2 + 14*h - 7. Let s(c) = 3*a(c) - 7*l(c). Find the second derivative of s(b) wrt b.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.457 and 49.\nAnswer: -71.393","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -3*u - 3. Suppose -3*d - 5*t - 15 + 1 = 0, t + 14 = 5*d. Suppose -d*i = 4*o + 2, o - 12 + 2 = -4*i. Determine b(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-4)\/s)\/s)\/s**(-1\/10)*(s\/(s\/(s*s**(-2\/17))))\/(s\/s**(-1)) assuming s is positive.\nAnswer: s**(-1193\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2189006*d**2 + 86*d - 175028144.\nAnswer: 4378012*d + 86","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 2*b - 7 = 0, 0*c = 5*c + 4*b - 23. Suppose 0 = -3*d + 9 + c. Suppose d*k = 8 - 0. Calculate the smallest common multiple of k and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2202101220 (base 3) in base 9?\nAnswer: -82356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 944362 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200)\/(sqrt(8)*1 + sqrt(8)))\/(sqrt(5) + sqrt(45)\/(sqrt(27)\/sqrt(3))) + -6*sqrt(40)\/(sqrt(72)\/sqrt(81)).\nAnswer: -71*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 + (-132)\/(-60) + (-2 - -3). Let a = -138 + 135.05. Let d = a + -0.05. What is the closest to d in -0.5, -1, k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqc when three letters picked without replacement from tqiiquciiuqunttttqt?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -47, 26, 149, 322, 545?\nAnswer: 818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -61507657, -123015317, -184522979, -246030643, -307538309?\nAnswer: -369045977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1986*v**3 - 20*v - 60.\nAnswer: -11916*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, 3, -5\/4, -1036\/9, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144 = 19*a - 27*a. Calculate the lowest common multiple of 30 and a.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i**2. Let f(w) = -11*w**2 + 6*w. Let o(n) be the second derivative of -15*n**4\/4 + 25*n**3\/6 - 20*n. Let b(s) = -25*f(s) + 6*o(s). Give j(b(c)).\nAnswer: 50*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*i**2 - 13*i + 40*i - 18*i - 17*i to the form s + x*i**2 + t*i and give t.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.3940919 + 0.3914. What is j rounded to 3 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and 146?\nAnswer: 1022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 12436 - 2?\nAnswer: 12434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1549 - 15639 = -5*l. What is the hundreds digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 + 6*m**2 + 17*m + 7. Let h be t(8). Suppose -16 = 2*s - 3*s + 2*g, 3*s + g - 13 = 0. What is the units digit of (24\/h)\/(s\/705) + -1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 0) + (0 - (-4 + 0)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mgjjbggqqjj. Give prob of picking 2 q and 1 g.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 13241 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3700 to the power of 1\/2, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5173260 and 7500.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -343, -4, 4, -35, 1, -2 in decreasing order.\nAnswer: 4, 1, -2, -4, -35, -343","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1216 divided by 304\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 - (34 + -26 + -70).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m**3 - 36133 + 36133.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 947 = 5*y, y + 0*y - 186 = -4*b. Let x = -113 + y. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-2 + 3 - -1) - 4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(108) + 5 - 6*(1 + sqrt(108))) + sqrt(108) + (-2*sqrt(108) + sqrt(108) + sqrt(108))*-5 + 5 + 3)**2 + -3.\nAnswer: -336*sqrt(3) + 1774","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 232, 771, 1682, 2983, 4692, 6827, 9406?\n\"Answer: 3*u**3 + 168*u**2 + 14*u + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*s = 5*u - 16*s + 5, -4*u - 12 = 2*s for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1603178 times -1?\nAnswer: -0.1603178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 29240.949769 - 29241. Let d = l - 5.949689. Let s = d + 6. What is s rounded to four dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 14*l - 2340 = 0. Let j be 3*4\/(4\/(-3)). Find the common denominator of -79\/30 and (j - -7)\/(l\/(-118)).\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.4 - -1.6. Which is the closest to -1? (a) s (b) 2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j**(-10)*j*j*j*j**(-6)\/j*j**(-3)*j*j**(2\/23) assuming j is positive.\nAnswer: j**(-343\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -3*w + 3*u, -5*u = -3*w. Is 2\/1663 <= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -69956420642 and -0.7.\nAnswer: -69956420642.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tdtk when four letters picked without replacement from ttedek?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18357506?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 4*j - 1, 2*k + 9*j - 1 = 4*j. Calculate the remainder when 11 is divided by k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27418?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1647 * 44.84\nAnswer: 73851.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a micrometer in nanometers?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 407 = 625. Is (7\/4)\/((-3)\/c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63509783 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3.71 and 1559.\nAnswer: 1555.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.9 + -1.3. Let h = -4.4 - s. What is the smallest value in h, 1, -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21382041 divided by -111\nAnswer: -192631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4 + 30 + -3 + 1. Let b = v + -34. What are the prime factors of ((-146)\/(-1))\/(b\/(-5)) - -2?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7.9 - -7.96. Let d = 4 - -7. Let h = d + -15. Which is the second biggest value? (a) h (b) -2 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = -2*u + 2*m - 24, 6 = -5*u - m for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3089\/11 - 281. Let v be ((-40)\/15 + 6)\/(6\/(-9)). Which is the closest to -2? (a) v (b) -0.1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3078390 by 6.\nAnswer: 513065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19*a*l**4 + 100*a*l**3 - 23896*a*l**2 + l**4 - 4*l**3 wrt l?\nAnswer: 456*a*l + 600*a + 24*l - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 at most -12168?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 1335443.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) -1\/3 (b) 3 (c) -115\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3458*o + 19 = l + 3444*o - 27, 3*o + 29 = 5*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -153615 divided by 735.\nAnswer: -209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (3 - -1 - -2) + 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2*d + 2. Suppose 2*j + 8 = 3*l, -3*l + 0*l - 2*j = -4. Let x(m) = -206*m - 203*m + 403*m - 6. Calculate l*x(f) + 7*i(f).\nAnswer: 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 2*z = 214, -14 = -5*z + 11. What is the lowest common multiple of l and 20?\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1960484665 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - 12. Let b = z + 3. Solve -9 = 2*i + 3*j, -i - 2 = -b*i + 5*j for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -21*u**4 - 730995*u**3 - 100785393*u**2 - 3495177405*u - 990411786 = 0. Calculate u.\nAnswer: -34671, -69, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - i**3 + 2 + 11*i**4 - 4*i**2 - 2*i**4 to h + q*i**4 + u*i + f*i**3 + l*i**2 and give q.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, -158, -5.\nAnswer: -158, -5, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -4*a**4 + 2*a**3 - a**2 - 3. Let o(v) = -v**4 + v**3 - v**2 - 1. Let w(u) = 6*o(u) - 2*q(u). Solve w(s) = 0 for s.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (52*z**3 - 148*z**3 - 7*z**2 + 71*z**3)*(z + 3 - 3) + 0*z**3 + 8*z**4 + 0*z**3 to q*z**4 + w*z**2 + n*z + g*z**3 + r and give q.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 138675289 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 441 is divided by 114?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3 (b) -1\/328 (c) -1.9 (d) 1\/9 (e) 2\/5 (f) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/26 and 51\/11504.\nAnswer: 149552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/14 and 85\/62?\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 5*z + 20 = -g, 3*g - 5*z = 15. Suppose -r = r - 36. Suppose 0*b = -2*b + r. Calculate the remainder when b is divided by g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -12. Let s(d) = d**3 - 4*d**2 - 7*d + 5. Let l be s(r). Let o be (2\/(-4))\/((-1)\/(-2)). Put o, -2, l in descending order.\nAnswer: o, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 4.198026ng?\nAnswer: 0.000004198026","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) -10311 (b) -0.2 (c) -299\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 2119591?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 55 (b) -0.5 (c) 2 (d) -8 (e) 1691\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of m**5\/60 - m**4\/3 + 4*m**3\/3 + m**2. Let v be i(7). Let r(w) = 3*w**2 - 1. Let s(q) = -q**2 - q + 1. Determine v*s(x) + r(x).\nAnswer: 2*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 + 5*v + 3. Let n be k(-3). Let c = -239 + 238. Which is bigger: n or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -1. Let j = 356 + -358. Which is the nearest to u? (a) -0.2 (b) -5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23712688400 rounded to the nearest 1000000?\nAnswer: -23713000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 28 = 5*a - 47, -5*a + 65 = -5*n. Suppose 4*s = -a + 62. Is 6 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r + 15 = -9*r + s, -r + 141*s - 5 = 145*s for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 7034 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2468 + -2aa?\nAnswer: -2723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3528?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 332002002 (base 5) in base 15?\nAnswer: 1d6002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -53263 + -11?\nAnswer: -53274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 352371 is divided by 70350.\nAnswer: 621","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 159095?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f + 31. What is q(-18)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 382957 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -h**5\/4 + 837*h**4\/8 - 92745*h**3\/8 + 1494121*h**2\/4 + 1991613*h\/2 + 403065 = 0.\nAnswer: -2, -1\/2, 78, 265","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 12 + 15 = 0, 108 = 5*z - 3*k. Let s be z*(2 + -4)*(-50)\/75. Calculate the greatest common factor of 8 and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 95381235*d**4 + 318986054 wrt d.\nAnswer: 381524940*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 = -2*j + 269. Let f = j - 13. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -264*y - 207*y - 74*y.\nAnswer: -545*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -1653*d - 373588. Calculate b(-226).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.9 + -0.1. Let g be (-84)\/(-112) - 88\/(-20)*(-10)\/16. What is the closest to -9\/4 in p, -0.3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 76 (b) 0.5 (c) 4 (d) 28\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -139*t + 25001. Calculate u(180).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 3 = -25. Calculate the smallest common multiple of v and 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00022086 to five dps.\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 131 + -127. Let h(l) = -l**2 - 5*l - 3. Let s be h(-4). Suppose -3*q = 4*v + 1, -q = 3*v + 3 - s. What is the third biggest value in y, 5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (30\/84)\/(-5)*31\/(-29). Let o = k - -19849\/3248. What is the common denominator of -27\/38 and o?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 24 = 4*c. Let n = -2 - c. What is the second derivative of 2*h**n - 14*h - h - 2*h**4 + 12*h**5 wrt h?\nAnswer: 240*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, d: 6, q: 3, z: 1}. Give prob of sequence yzq.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7614 - -7613. What is the third smallest value in p, -0.4, -6, 1\/5, -5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1aa2 + -406?\nAnswer: 1697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 - 8*h**2 + 6*h**2. Let d(c) = 2*c**3 - 6*c**2 + 2*c - 1. Let o(j) = -d(j) + 4*r(j). Let a = -12 + 14. Calculate o(a).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 - 3. Suppose 0 = v + 2*n - 4*n + d, 3*n - 2 = 5*v. Solve 5*f + 2*y = v*f + 4, -4*f + 5*y = -36 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -555 + 172 + 260 - 315*a - 529 - 419 wrt a.\nAnswer: -315","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121 = -3*s + 5*w, -7 = -s - 0*s - 5*w. Calculate the remainder when s is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 8 = 2*t. Let u = -81839\/532 - -9\/76. Let i = u - -154. Do t and i have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 466424 - -2?\nAnswer: 466426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + 0. Let m be (4\/3)\/((-4)\/(-6)). Suppose m*l - t = 5*l. Is 1\/3 less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 531024, 1061992, 1592960, 2123928, 2654896, 3185864?\nAnswer: 3716832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*u - n - 5*n + 24, 107*n = -5*u + 105*n + 27 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c - 2*c - c)*(10*c**2 - 29*c**2 + 7*c**2).\nAnswer: 48*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -3474*p + 319599. What is g(92)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-120)\/72)\/(20\/(-28800)) is divided by 36.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*o = 75*o - 40590. What are the prime factors of o?\nAnswer: 2, 3, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of -5*o**4\/3 + 284*o**3\/9 + 122*o**2\/3 - 20*o - 1574. Suppose p(u) = 0. Calculate u.\nAnswer: -1, 1\/5, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13914 and 288.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, h: 3, a: 2, e: 5}. What is prob of sequence hh?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(720) + (sqrt(720) + (1*sqrt(720) - sqrt(720))*6 - sqrt(720)) - (2 + sqrt(720)*3)) + -2)**2*-1.\nAnswer: -72064 - 1920*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fwkkkkwwwfwkwwkwf. Give prob of sequence wkk.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -41 (b) -1 (c) 9 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 118*m. Let i(d) = 2342*d**2 - 5*d. Determine i(o(c)).\nAnswer: 32610008*c**2 - 590*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -801*u = -1151*u - 3586*u - 70848 for u.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 448 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of 37*s**7\/70 + s**5\/30 + s**4\/8 + 1058*s**3\/3 + 243*s**2 + 3*s + 1. Find the first derivative of x(r) wrt r.\nAnswer: 444*r**3 + 4*r + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2387, 9565, 21535, 38303, 59875, 86257, 117455, 153475?\nAnswer: 194323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1837456?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 12) to base 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 + -5 + -100 + -3 + 2 + -12?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 161111, 161083, 161035, 160967?\nAnswer: 160879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 5, w: 2}. What is prob of sequence ff?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2*v**3 + 14*v**2 - 5*v + 15. Let f be (1\/(-2))\/((-1)\/14). Let n be m(f). List the prime factors of (16\/n)\/((11\/90)\/(-11)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2*s**2 + 14*s - 12. Give z(-7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(3200) - sqrt(12)\/(sqrt(486) + sqrt(486) + 3*sqrt(486)).\nAnswer: 3 + 1799*sqrt(2)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -4430 + 16415\nAnswer: 11985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, u: 1, k: 1, n: 4}. Give prob of picking 1 q and 1 u.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7\/2 - 27\/(-18). Suppose -55 = -5*c + h. Let f = c - 13. Which is bigger: -4\/5 or f?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -31203 + 31203. What is the closest to h in 0.5, -1, -0.4, -13\/16?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -77 - -82. Solve 2*q + 23 = 3*b, -3*b = -x*q - 4*b - 15 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*w + 6*b = -14*w - 8, 3*b = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -13792, -27523, -41256, -54991, -68728?\n\"Answer: -t**2 - 13728*t - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.206 + 0.706. What is the closest to -1 in -0.28, a, 0.5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 AM and 2:17 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 6*((-455)\/196)\/13*53\/159\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/(-2)*9\/9. Let v = 1 - a. Let m be 104\/(v - (-27)\/(-25)). What is m rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.4 and 11.03.\nAnswer: 11.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/v**(1\/4)*v)\/(v*v*(v**(-2\/15)*v)\/v))**(-12\/13))**(-5) assuming v is positive.\nAnswer: v**(-7\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1281322730?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -218, -56, -3\/2, 0.014?\nAnswer: -56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*(-8)\/(-200)*-1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.613 - 0.101423579.\nAnswer: -1.714423579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 100853 = -3*i, -2*z + 5*i - 1592 + 41958 = 0. Is z a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 AM and 1:36 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2524641 (base 9) to base 3\nAnswer: -2120211201101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, 136, -8.91?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -5. Suppose -3*k - 11 = -m, m + q = -1. Let t(r) = r**2 + r - 1. Is t(k) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -240\/35489 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aq when two letters picked without replacement from {q: 1, a: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 3*j**2 + 11*j - 7. Let g = -65 + 66. Suppose 47 = 2*p + 5*b, p + g - 17 = -5*b. What is the remainder when p is divided by d(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43784334 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95.842l to millilitres.\nAnswer: 95842","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 184411?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 35*i**2 - i - 2. Give q(-1).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.19 plus 0.04194?\nAnswer: -0.14806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, 46, 84, 126?\nAnswer: 172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 + 5*q + 3. Let v be j(-3). Suppose -r = -3*p - 29, 2*p + v = 2*r - 3. Let m(g) = g + 14. Let x be m(p). Solve -1 = -3*c - x for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, y: 10}. What is prob of picking 1 y and 3 w?\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -95616 and -3.\nAnswer: 286848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 2808*y - 2710*y - 1615*y to w*y + v and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8320648809?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -139 + 143. Sort h, 5, -3.\nAnswer: -3, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 245797?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**4\/5 + 36*h**3\/5 - 144*h**2\/5 + 188*h\/5 - 78\/5 = 0. Calculate h.\nAnswer: 1, 3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 + 3*t + 5. Suppose -4*z - 47 = 3*a, 0 = -5*z + 3*a + a - 51. Calculate the remainder when h(z) is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 103 and -564213803.\nAnswer: -564213700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1253 minus -0.04?\nAnswer: 1253.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - 160577754?\nAnswer: -160577751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 1991 divide 185320759?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((1 - 2) + 2)*1. Let v = -1 - s. Let q = v + 8. What is the greatest common divisor of q and 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 5*z + 190, 0 = -3*z + 4 + 2. Let n = s - -53. Suppose 5*t = 3*d - 69, 0 = -n*d + 3*t + 17 + 52. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h - 2. Let k(z) = 4*z + 11. Let y be -2 + -4*15\/(-12). Suppose -2*v = y*c + 11, -v + 0*c + 27 = -5*c. Give v*k(f) + 11*b(f).\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 25 + 3 + -36.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*3 + 294 + -316.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 6*t**2 + 171*t - 79. What is w(-29)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.5 and -6.3446.\nAnswer: -5.8446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25314 + 0.5.\nAnswer: 25314.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 divided by -2?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q**2 - 14*q + 21 - 10*q**2 + 2*q**3 + 14*q.\nAnswer: 2*q**3 - 12*q**2 + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34004340 (base 5) to base 13.\nAnswer: a5524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1115 divided by 5\nAnswer: -223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - h**3 - 690*h**2 + 690*h**2 - 16.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2885*v**2 + 7*v + 140. Let d be w(-20). What is d rounded to the nearest 100000?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 857*a - 3. Let v be q(-1). What is v rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-45)\/(-7) + (1 + -49 - -35 - -7))\/(-2)?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 4152 = 4*y, 5*y - 2*m - 1080 = 4131. What is the thousands digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/93 and 139\/606.\nAnswer: 18786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rvv when three letters picked without replacement from rrvrrrrvr.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1050, 2145, 3280, 4449, 5646, 6865?\nAnswer: 8100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 230 + 33. Let v = c - 262.99999779. Round v to seven dps.\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-10)*(-3150)\/9900*(-30)\/7.\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 34*g**2 + 0*g**4 + 15*g**4 - 33*g**2 + (-2*g**3 + 6*g**3 - 3*g - 6*g**3)*(-4*g + 2*g + 3*g).\nAnswer: 13*g**4 - 2*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of -191*m + 0 - 9\/2*m**2 + 1\/6*m**3. Calculate s(10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 213 = 4*l - 551. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 64320 and 54?\nAnswer: 578880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 0.07, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.5 from -436506908.\nAnswer: -436506908.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.447 - 0.053. What is the nearest to w in 0.04, 3, 5, 1?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 5*r - 2. Determine c(-4).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -87 * -0.175285\nAnswer: 15.249795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.09 - 0.19. Let b = p - 1.900072. Round b to five decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/288 and -143\/912.\nAnswer: 5472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 4*k + 33. Suppose 3129 - 1653 = -123*n. What is t(n)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of k**5\/20 - k**4\/2 + 4*k**3\/3 - 2*k**2 + 77102*k. Suppose -3 = n + 2*n. Let f be n\/(-3) + 28\/6. Determine c(f).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22492.\nAnswer: 2, 5623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -7 + 5 - m**2 + 3*m**3 - 5*m + m. Suppose -562*i + 163*i = -2793. Let n(u) = -5*u**3 + 2*u**2 + 7*u + 3. What is i*j(p) + 4*n(p)?\nAnswer: p**3 + p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 14457908.\nAnswer: 3\/14457908","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6721?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 47 by -103.\nAnswer: -47\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5100682 = 360*c - 342*c - 5480708. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2979.439 tonnes in kilograms?\nAnswer: 2979439","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(896) - sqrt(896))\/(sqrt(162) + sqrt(18)) + (sqrt(14)\/(-2*sqrt(2)) - (sqrt(28)\/sqrt(4) + 1))*5.\nAnswer: -19*sqrt(7)\/2 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15650 - -1330283\/85. Let y = r - -1\/85. Which is the third biggest value? (a) -0.2 (b) y (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23, 12, 1, -10, -21?\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -133 - -139. Suppose 4*o + 272 = 2*f, 672 = 5*f + 4*o - i*o. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -6*n**3 - n**2 - n. Let o be h(-1). Let j be ((-6)\/(-15) - (-16)\/10) + -5. Let k = j + o. Solve -k*a - a = -4 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132784 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 3*q = -q - 24, -2*n - 4 = -3*q. Suppose -5*y - n*k + 45 = 0, -y - 4*k = -27 + 2. Suppose 0 = 5*u + 4*t - 241, y*t = 3*t - 2. Does 7 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2289 a factor of 5079291?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58 + 4 + 2 + 0 - 5*k.\nAnswer: -5*k + 64","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 - 32. Let g be 3\/c + 57\/105. Is g less than 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.3 + 5. Suppose 0 = -40*t + 37*t + 39. Let k(i) = -i**2 + 10*i + 42. Let o be k(t). What is the smallest value in o, -3, r?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 178, 0.5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-122)\/(-468) - 1010\/26260.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of -5*w**6\/12 - 329*w**5\/30 + 149*w**4\/6 + 56*w**3\/3 - 2*w**2 - 573*w. Factor m(q).\nAnswer: -2*(q - 1)*(q + 14)*(25*q + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (12 + -5 + -7 + 12).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a - 38 = 5*q, -4*q + 31*a - 4 = 35*a for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(17) + 1)*5.\nAnswer: -10*sqrt(17) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -19, -4, -84, -12, -1, 5 in descending order.\nAnswer: 5, -1, -2, -4, -12, -19, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -30.35 to 0 decimal places.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) 0.03 (c) -2\/2515\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g + 21. Let z be c(10). Let k = 4 + z. What is the greatest common factor of 5 and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 161 + -71?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 5. Suppose -4*t = 2*p - 56, -3*p = r*t + 22 - 90. Is 5 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w + 0*w = -24. Let r be 3\/((-48)\/(-52)) + (-1)\/4. Solve r*q + w*f = -f - 11, -2*q + 2*f - 12 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = 319*m - 288*m - 446 for m.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m**5\/9 - m**3\/3 - 2*m**2\/9 = 0. Calculate m.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 3*a + 2*g - 48, 5*g = -a + 20. What is the highest common factor of a and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 9664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 24a (base 11) to base 16\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (759\/46)\/((-3)\/(-4)). Suppose a*n - 18*n = 288. Suppose 40 = 5*w + m - 30, 4*m = -4*w + 40. Calculate the remainder when n is divided by w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 0 - -6 - -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 9, 8, -1 in ascending order.\nAnswer: -4, -1, 8, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115 + 13 = -19*s - 13*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.15 - 1.75. Let n = -4.4 + z. Let l = 2 + n. Put 0, 0.2, l in descending order.\nAnswer: 0.2, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*h + 336 = 508 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**3 - 4*a**3 + 190 - 190)*(-35 + 29 - 2*a - 36).\nAnswer: 6*a**4 + 126*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 41300 and 49560?\nAnswer: 247800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 - -951.875.\nAnswer: 951.375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 5*y + 5 - 26, n + 4*y - 24 = 0. Suppose -z - 4*h = -6*h + 4, -n*z - 26 = 2*h. Calculate the lowest common multiple of (-13)\/z + 1\/(-6) and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-7 + 5)*(-4)\/8 + 3. Solve 2*z - 5*c + 5 = -9, y*c - 6 = -z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of u**2 - 7 - 11*u**2 + 10*u**2 + u**4 wrt u.\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 12\/6*-1 - (4 + 0). Put -0.1, 0, t, -4\/3 in descending order.\nAnswer: 0, -0.1, -4\/3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7120.7 + 7121. Which is the third smallest value? (a) 2 (b) -2\/5 (c) -4.1 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 40563.768 days?\nAnswer: 5794.824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence izii when four letters picked without replacement from iziizizpibzpi.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z\/((z\/(z*z**2)*z)\/z))\/z)\/z**10)\/(z\/(z\/(z*z**10*z))*z*z*z**(-1)))**41 assuming z is positive.\nAnswer: z**(-861)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -477*i**3 - 147*i**3 + 425*i**3 + 9*i**3 - 108*i**3.\nAnswer: -298*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 - 11*o - 10. Let n be d(-10). Suppose -l + 3*j = j + 2, n = 3*l - 5*j + 4. Solve l*w + 2 = f + 1, -5*w + 5 = -5*f for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10)\/2 + (6 - -1337). Suppose -2*k + 672 = 2*x, -17*x + 2*k - c = -21*x. Does 9 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 226982 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 PM and 10:34 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c + 26. Give s(19).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r + 34. Let t be s(-16). Let k be (t\/(-6))\/(0 - 3). Let q be k - 4\/(4\/(-1439)). What is q rounded to the nearest one hundred?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -7*a**2 - 5*a + 25. Let v(j) = -18*j**2 - 12*j + 62. Let x(r) = 12*g(r) - 5*v(r). Differentiate x(i) wrt i.\nAnswer: 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 15032, 1, -0.9, -0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-26)\/(-4))\/((-5)\/(-110)). Suppose 35 = 6*b + q. Is (6\/b)\/((-1)\/669) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 8222.9 (b) -1 (c) 2 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -12.7927858 and -8.4.\nAnswer: -21.1927858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -173826, -350827, -527830, -704835, -881842, -1058851?\n\"Answer: -j**2 - 176998*j + 3173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3320 (base 4) to base 12\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of -133\/3*d**3 + 61\/2*d**2 + 89 + 0*d. Find the second derivative of c(g) wrt g.\nAnswer: -266","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -988.3366 plus -4?\nAnswer: -992.3366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.2 - 1.6. Let y = w - 35.6. Let k = y - -33. Which is smaller: -4 or k?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**2 + 4*w**4 + 3*w**4 - 10*w**4 + 1 - w**4 - 1 + (-3*w**3 + 0*w**3 + w**3)*(0*w - 2*w + 3*w) + 0*w**4 + 2*w**4 - w**4.\nAnswer: -5*w**4 + 2*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -37*w + 1. Let s = -659 - -669. What is the remainder when r(-1) is divided by s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n - 9. Let h be a(11). Suppose h*k + 3*j - 179 = -58, 57 = k - 2*j. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47174?\nAnswer: 2, 103, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16976 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/7)*f*f**3*f*f*f*f**(2\/11)*f*f**(1\/2))\/(f**(-1\/4)\/(f\/(f*f**(6\/7))))**0 assuming f is positive.\nAnswer: f**(1293\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (10\/(-3)*1)\/((-8)\/(-12)). Sort 3, h, 2 in ascending order.\nAnswer: h, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(-9)*66\/(-2 + 0). What is the derivative of -27*y + 20 - 27*y + p*y wrt y?\nAnswer: -43","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*u - 12*u**3 + 2 + 0*u + 2*u**3 - 4*u + 15*u**3 - 10*u**2 to the form j*u**3 + s*u + g*u**2 + i and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1\/2, -0.7, 2?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 35743*c - 285778. Suppose -19 = -3*x + 23. What is the remainder when l(8) is divided by x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-10)\/15)\/(2\/21). Let o(z) be the second derivative of z**4\/6 + 3*z**3\/2 - 2*z**2 + z. What is the remainder when o(v) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2552 divided by 523891?\nAnswer: 2552\/523891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t = -7*t - 40. Let u be 8\/(-6)*((-2 - t) + -3). Solve -u = -0*f + 4*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 46\/433 and 38\/7?\nAnswer: 3031","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 = 4080\/101?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10.6 - -34.4. Let h = l - 52. Suppose -5*m = q + q + 28, 0 = q - m. Which is the closest to -1\/2? (a) q (b) 0 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(2*sqrt(152)*3 + -1*sqrt(152)*1))\/((sqrt(288) + 2*sqrt(288))\/(sqrt(8)\/sqrt(2)*-6)))**2.\nAnswer: 7600\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 237, 2101, 7231, 17283, 33913, 58777?\n\"Answer: 276*a**3 - 23*a**2 + a - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of i**4\/6 - 5*i**3\/2 + 8*i**2 - 19*i. What is the tens digit of z(12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2. Let m(q) = q**2. Let g(j) = j + 3. Let z be g(7). Let t be 22\/z - (-1)\/(-5). Calculate t*k(l) + m(l).\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a\/(a*a**(-1\/2)*a*a*a)))\/a)**(-10)\/((a\/(a*a*a**(1\/10)*a*a))\/(a\/a**(3\/5))))**(-7) assuming a is positive.\nAnswer: a**(301\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1316)\/(-140) + ((-3)\/(-10))\/3)*(-30 - -38)?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 11*s - s + 15160. What is the lowest common multiple of 15 and s?\nAnswer: 5685","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 36 = -0*t. Suppose -i = 3*i - t. Sort 4, i, -9.\nAnswer: -9, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -200021001 - -12?\nAnswer: -200020212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrpgrzur. Give prob of picking 1 r and 1 g.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of 17\/6*t**3 + 0*t**2 + 103\/12*t**4 - 4*t + 5. Find the second derivative of n(h) wrt h.\nAnswer: 206","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k - 1. Let t(q) = -q - 8. Let v(j) = -t(j) + 3*x(j). Let g(s) = -s - 1. Determine 5*g(y) + v(y).\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -11.3+-39339353\nAnswer: -39339364.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11 - 14 - 127 - 78 - 233*l with respect to l.\nAnswer: -233","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3041491 and 1305?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y = -2*y - 72. Let q(r) = r**2 - 10*r. What are the prime factors of q(y)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m**2 + 145*m - 1445. Give z(9).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 503?\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1112 is divided by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-6)*-10*624\/(-416)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*p + 59*p**2 - 2 + 22*p - 52*p**2 to the form d*p**2 + a*p + w and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/(-5) - (6 - ((-7 - -1) + -6)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of v**5\/60 + v**4\/12 + v**2\/2 + v. Let r(a) be the first derivative of n(a). Give r(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 6 = -11. Suppose 4*o - 3*n + r = 0, -o - 2*o - 3*n = 6. Let q be -23*2913 - (0 - o). What is q rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i = -3 - 25. Suppose i*v + 3 = v. Let f = 763\/12 - 127\/2. Which is smaller: f or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 98 + -93. Sort o, 6, 0 in increasing order.\nAnswer: 0, o, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 24*u - 401. What is the units digit of g(52)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-24)\/t**(-25) assuming t is positive.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 11) to base 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24094?\nAnswer: 2, 7, 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2004*a**2 - 41*a + 11. Let q(g) = g**2 + 8*g - 2. Determine 5*q(y) + v(y).\nAnswer: 2009*y**2 - y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + 3 + -10 - (-164 + 186).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 33790 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 4*k**3 - 4*k - 7. Let j(c) = -c**3 + c + 2. Determine 6*d(f) + 21*j(f).\nAnswer: 3*f**3 - 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.26 in 1\/16, -1, 1\/5, -2?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**39\/(c*(c**(2\/3)\/c)\/c)*(c**15*c)**50 assuming c is positive.\nAnswer: c**(2518\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5b + 0?\nAnswer: 5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**3 + 283292*x**2 - 20063872605*x + 40126612050 = 0. What is x?\nAnswer: 2, 141645","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 29306309 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 + 3*c**2 - c + 1. Let z be 3\/(-4)*(-48)\/(-6). Let n be ((-3)\/(-2))\/(3\/z). Let i be f(n). Solve -2*d - i*j = 2*d, -j - 8 = -d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 + 1 = 5*w - j, 4*w - 2*j = 26. What is the units digit of (-38)\/w*-4*8\/16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 3*q. Solve -5*k - 2 = s + 5, -k - 4*s + 10 = q for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -6*x**5 - 5*x**4 + 6*x**3 + 5*x**2 - 5*x. Let g(j) = j**5 + j**4 - j**3 - j**2 + j. Let u = 9 + -4. Let h(t) = u*g(t) + v(t). Factor h(q).\nAnswer: -q**3*(q - 1)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 98*y**3\/9 - 125594336*y**2\/3 + 23922728*y - 30757792\/9.\nAnswer: 2*(y - 3844724)*(7*y - 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17.499999208 - 17.5. What is l rounded to seven decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 - 9*s**2 - 13*s + 25. Calculate v(10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = 92, 12*n - n + 20*n = i + 30*n + 26 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(405))*6*-2)**2 + (sqrt(5) - (sqrt(45) + -2))*2*-2.\nAnswer: -2584*sqrt(5) + 58456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 52 - 52. Suppose -4*c - 10 = 3*l, j*l - 3*l = -c + 35. Let f(t) = t**2 + 11*t + 7. Determine f(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 14756261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 947221*g**2 - 1225604?\nAnswer: 1894442*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*i*n**4 - 9*i*n**2 + 2*i + 2*n**4 - 34*n**3 - 2*n**2 wrt n.\nAnswer: 336*i*n + 48*n - 204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((33\/(-22))\/(4\/56))\/((-5)\/5)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -16 - (-34 + 13 + -3)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3120, -5659, -7616, -8991, -9784?\nAnswer: -9995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 424, -2, -10, 4, -27, -3, 0 in decreasing order.\nAnswer: 424, 4, 0, -2, -3, -10, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/56 and -85\/1812.\nAnswer: 25368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -6*(2 + -3)\/3. Suppose 0 = -f*m - m + 15. Suppose -k + 887 = 2*l, 4*k - 3*k - m*l = 887. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 1136.\nAnswer: 5680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/23 (b) 2\/9 (c) -0.05 (d) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 65420788?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 84 = 6*t. Is 12 a factor of 0 + t\/(-10)*-6*10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1220 and 8052.\nAnswer: 40260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2899091252?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 12 = 3*y - 1, -3*h - 13 = 2*y for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -601*q + 1496 + 307 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 5*k - 17. Let i(b) = 2*b + 1. Let m(u) = 2*i(u) - o(u). Let s be m(15). Let z(l) = -5*l - 7. Let a(j) = -4*j - 6. Calculate s*a(w) - 3*z(w).\nAnswer: -w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 2 = 4*r, -2*r + 3*r = 5*n + 16 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109*s + 99*s = -250. Calculate the remainder when 369 is divided by s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*t + 73 = 4*b, 2*b + 4*t + 31405 - 31467 = 0 for b.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(49)\/(2*sqrt(7)*-4) + (3 + (sqrt(1008) - sqrt(1008)*1))**2)*-2.\nAnswer: -sqrt(7)\/2 + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 3*m**3 - 78*m**2 + 51*m + 664. Give p(25).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(104) - (3*-2*sqrt(104) - sqrt(104)))\/(1*sqrt(72)) + (6*-1*sqrt(130))\/(sqrt(20)\/sqrt(72)).\nAnswer: -124*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -5*p + 15. What is r(6)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -6*m + 230. What is the highest common factor of m and 1056?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in twenty-three thirds of a day?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 21\/21*(-1009 + 0). Let s = -422 - a. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 515?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u + 3*u - 2 + 2*u**3 - 2 - 180*u**2 + 492*u**2.\nAnswer: 2*u**3 + 312*u**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 25, -3*f - 7 - 1 = -u. Let o = 0 + f. Let q(m) = -m - 18. Let i be q(-16). Which is bigger: i or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 + 19 - 9472654*f + 9472649*f.\nAnswer: -5*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*s + 11*s + 206 + 47 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - ((-16 - -12 - 10) + 17 + (3 - -44))?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 292 = -12*x + 1672. What is the highest common divisor of 23 and x?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26\/3, 22, 110 in ascending order.\nAnswer: -26\/3, 22, 110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19258*j - 13373 = -18947*j for j.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 3:32 PM?\nAnswer: 2:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1215, 1172, 1057, 834, 467?\n\"Answer: -6*h**3 - h + 1222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -1 + (2 + -1)*68?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 6*h - 40. Let z(s) = -3*s + 7. Let g be z(3). What is the smallest common multiple of g\/(-5)*(-5)\/(-2) and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -39071, -39329, -39765, -40385, -41195, -42201, -43409, -44825?\n\"Answer: -j**3 - 83*j**2 - 2*j - 38985","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-108258)\/378119 + (-4)\/(-14). Let b = 919207545\/432136 + c. Let l = 2124 - b. What is the common denominator of l and -101\/10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 4) in base 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1061*p - 506*p = 528*p - 81 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/40, -39\/5, 0.4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3\/59 + 165\/236. Let d = 0 - -0.1. Sort 4, t, d.\nAnswer: d, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1643314.752 rounded to the nearest one thousand?\nAnswer: -1643000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.9207 + -0.0793. Which is the biggest value? (a) 3 (b) 0.04 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.05 * 23791.\nAnswer: -1189.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1704475?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6420.41359 + -3.\nAnswer: 6417.41359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2210*i + 2210*i + 48*i**2)*(-2 - 3*i**2 + 2).\nAnswer: -144*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.52 + -0.42. Let l = -2 + 5. Which is the closest to d? (a) l (b) -0.3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/8 and 61\/6500.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g - 208 = 142. Suppose -g = -2*j - 3*j. Suppose 0 = j*z - 14 - 70. Calculate the highest common factor of 8 and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/9*(3 + -6). Suppose 5*i + 26 = -3*k, 2*k - 5*i - 16 + 0 = 0. Sort k, -3, r.\nAnswer: -3, k, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11645797 and 5.\nAnswer: -58228985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 7) in base 4?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 1\/281, 2\/3, -0.2?\nAnswer: 1\/281","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*w = -15 - 9 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a meter in millimeters?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6999263.\nAnswer: 6999263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 43 - 29. Suppose 54 = 2*k + 2*k + 2*d, -4*k + 59 = -3*d. Is l >= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23918?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29 + -62 + 32 + 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5107400657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 11:56 AM?\nAnswer: 12:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 10*z + 10. Let p be u(-5). Let k = p - -51. Solve -5*w - k - 4 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/(-45))\/((-6)\/10). Let u = 0.289 - -0.711. Let q be 2\/(-4)*3\/6. Which is the second biggest value? (a) 2\/15 (b) v (c) q (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddtd when four letters picked without replacement from {t: 3, d: 13}?\nAnswer: 33\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -164 (base 13) to base 12.\nAnswer: -18b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b + b - 2901 + 638.\nAnswer: -b - 2263","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/5 < 14.57?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - ((14 - -4) + -10).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 732577455 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 5 - 4 - 51*q**2 - 1 + 53*q. Let c(v) = 77*v**2 - 79*v. Let g(h) = 5*c(h) + 8*d(h). Find the second derivative of g(i) wrt i.\nAnswer: -46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3492719687?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -42 + 131 - 2*a**2 + 4*a - 42 - 40 in the form z + g*a + u*a**2 and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2735 = -27*a - 1061. Let c be (a\/93)\/(2\/(-9)). Let u = -8 - -4. What is the third biggest value in u, -0.2, c, -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 5. Suppose 554*j - 558*j - 4 = 0. Let k(t) = t + 1. What is j*h(f) + 6*k(f)?\nAnswer: 6*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 217.1 in -3\/7, -0.5, -4\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_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: Simplify (sqrt(209)\/(sqrt(121)\/sqrt(99)) + -1)**2 - (-3 + sqrt(190)\/(sqrt(20)\/(sqrt(4)\/sqrt(2)) + sqrt(10) - sqrt(10))).\nAnswer: -7*sqrt(19) + 175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*f - 846*f - 1236*f = -88368 for f.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is f - 25485?\nAnswer: -25476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 140 - 47. Let a = 93.0000049 - s. What is a rounded to six dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4979 - 2232. List the prime factors of r.\nAnswer: 41, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -4536, -6343, -9352, -13569, -19000?\n\"Answer: -j**3 - 595*j**2 - 15*j - 3925","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -199, -244, -291, -340?\n\"Answer: -j**2 - 42*j - 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 13 = -5*u, 4 - 15 = -p - 3*u for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - -1. Suppose -3*z - z + 3*h = -6, 5*z - u = 5*h. Suppose 5 + 0 = v. Solve -4*l = 3*c - 24, -3*c = v*l - 6*c - z for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wjj when three letters picked without replacement from {b: 1, t: 2, w: 1, j: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4737 + 9382. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10)\/(-25) + 152\/(-5). Let r = -22 - u. Let t(a) = a**3 - 5*a**2 - 5*a - 2. Let k be t(6). Solve r = k*i - 2*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*80\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -17\/184593 or -1?\nAnswer: -17\/184593","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 6\/127547 and 85\/72884.\nAnswer: 510188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -60994 + 2*i - 60985 + 121979. Let a(v) be the third derivative of v**4\/24 - 13*v**3\/6 + v**2. What is q(a(b))?\nAnswer: 2*b - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from rrrrrprprprrpprrrr.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/1842685 or 0?\nAnswer: -1\/1842685","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxpp when four letters picked without replacement from xxxpxxxxpxpx.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -20893? (a) 18 (b) 1\/4 (c) -4 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 54668\/17? (a) 1\/4 (b) 4\/7 (c) 2\/13 (d) 3\/2 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 7:02 PM?\nAnswer: 7:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/12)\/(10 + 364\/(-32)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30065 and 58230751.\nAnswer: 859","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-4*-2*sqrt(405)*-6 + sqrt(405) + 4*(sqrt(405) - (sqrt(405) - (1 + sqrt(405) + sqrt(405)))) + (sqrt(405) - (sqrt(405) + 1)) + -5 + 5)**2.\nAnswer: -3696084 + 12636*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/1*-4 - 7. Let b(o) = -o**3 - 3*o**2 + 1. Let j be b(l). Solve -j - 1 = -g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(34)\/((sqrt(2) - (sqrt(2) - sqrt(16)\/sqrt(8)))*2).\nAnswer: -5 + sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1627.57184 from -49870.4.\nAnswer: -48242.82816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -5*w. Let b(y) be the second derivative of y**3\/2 - 46*y. Determine r(b(c)).\nAnswer: -15*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 491 = -5*b, 5*n + 8405*b - 317 = 8408*b for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 - 6*o**2 - 5*o - 4. Let v be r(7). What is the derivative of -46 + 9 + 13 + 7 - v*p wrt p?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 523972.1 milliseconds to microseconds.\nAnswer: 523972100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 248 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 33490 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 608, 629, 700, 827, 1016?\n\"Answer: p**3 + 19*p**2 - 43*p + 631","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a tonne in kilograms?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 + 19*p**2 - 21*p + 15. What is the units digit of j(-20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 623985 divided by -41599?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -3*j - 46. Suppose 59*n - 80 = 64*n. Let i be y(n). Sort 5, i, -5.\nAnswer: -5, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 9 = n. Suppose -2*l - 5 = -n*l. Suppose 0*r = r - l. Solve -r*k + 13 = -2 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*(z*z\/(z**(3\/5)\/z))\/z*z)\/((z\/z**(1\/4))\/z)*(z**(-1\/6)\/z)\/((z**(1\/7)\/z)\/z))\/((z**(-1))**(-1\/4)\/(z**(1\/6)*z*z**(-1\/2))) assuming z is positive.\nAnswer: z**(333\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 3:33 PM?\nAnswer: 7:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -50, -213, -486, -869, -1362, -1965, -2678?\n\"Answer: -55*x**2 + 2*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50451 is divided by 28?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in 5, -0.3, -1896.9?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -440*b**3 + 2*b**2 - b wrt b.\nAnswer: -2640","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1004 and -0.5.\nAnswer: -502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.24 - 16.24. Let z = -20 - j. Let i = 5.8 - 0.8. Sort i, z, -0.01 in descending order.\nAnswer: i, -0.01, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-340)\/(-8)*8\/10. Suppose 2*v = 4*n - 592, 5*v - 92 - k = -n. Let h = 1020\/7 - n. Is h at most -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = -2*f + 7*f - 2*o, -o + 27 = 3*f. Let p be ((-20)\/4)\/((-4 + 2)\/4). What is the highest common divisor of f and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8301064?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is 2.535624mm in centimeters?\nAnswer: 0.2535624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 273722?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 2*l - 11 = -6*l, 3*l + 8 = -n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2*x**2 - 44*x + 51. Let j be s(-23). Which is bigger: j or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/9 + 74222\/(-306). Let d = 364 + v. What is the remainder when d is divided by 27?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12793093 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1576 and 122032?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 6*q = 1. Sort 1\/2, 3, q in descending order.\nAnswer: 3, 1\/2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*g = 16*g + 3*g - 89 + 89 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23 + 16. Let z = -4 - f. Suppose -4*s + 112 = s + k, 2*s + z*k = 37. List the prime factors of s.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -315 - -285. What is the nearest to j in -5, 4\/7, -0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 377.81*-0.2.\nAnswer: -75.562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o**3 - 4*o**2 - o + 2. Let t be x(-2). Differentiate 21*b**3 - 2*b**3 - t + 12 - 2 wrt b.\nAnswer: 57*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 8:42 PM?\nAnswer: 6:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from {l: 4, c: 14}?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*d = -11*d - 72. Let j(f) = -f**2 + 10*f + 28. Let o be j(d). What is the greatest common divisor of 28 and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 3*g + 26 = 0, 4*z + 2*g = -2*g + 40. What is the remainder when z is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2 + 59572*v.\nAnswer: -2*v*(v - 29786)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 AM and 9:29 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 divided by 40457?\nAnswer: 20\/40457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 - 12*c - 1. Let b(k) = -2*k + 7. Let f be b(9). Let n be z(f). Calculate the common denominator of (-2)\/3*n\/(-60) and 26\/11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13.4 - 13.8. Let g = -0.2 + 0.3. Which is the nearest to -1? (a) g (b) -3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1102 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57257920.\nAnswer: 2, 5, 178931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.226, -22, -0.1, 1\/2, 4\/7?\nAnswer: -0.226","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 2*c + 9. Let y(x) = -6*x**2 - 5*x - x**3 + 0*x**2 + 1 - 5 + 3*x**2. Determine y(c).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -8*m**2 - 9*m - 8. Let c(b) = 9*b**2 + 8*b + 7. Let o(q) = 6*c(q) + 5*p(q). Let r be o(-2). Suppose 8*i = 4*i + r. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (36\/1008)\/((-9)\/324)\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*(d*d*d*d**(-1)*d)\/d))**(-2\/73)*(d\/(d*d**(-2\/11)))\/(d**(1\/4)\/d) assuming d is positive.\nAnswer: d**(3169\/3212)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 8) + (-1 - 0) + -55 + 53?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - 145*o - 178*o + 7 + 389*o to q + x*o and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k**3 - 13*k**2 + 98*k + 2. Let d(v) = -v**3 + 8*v**2 - 65*v - 1. Determine -8*d(s) - 5*f(s).\nAnswer: -2*s**3 + s**2 + 30*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11045?\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a micrometer in nanometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 5:48 AM?\nAnswer: 4:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 264, 1760, 5740, 13446, 26120, 45004, 71340, 106370?\n\"Answer: 207*z**3 + 47*z + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 5*m - 17 - 3 = 0, 4*h + 12 = 3*m. Suppose -4*c - 8 = h, 7*g = 2*g + c - 8. What is the common denominator of ((-194)\/(-4))\/(g - 3) and -67\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10011110101 - 100?\nAnswer: -10011111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 14\/6*(-240)\/1120*(-12)\/(-5)\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 - 10*j**2 + j + 16. Let g be f(-10). Suppose -c = 6 - 36. What is the highest common factor of c and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 + 869*t**2.\nAnswer: 869*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.86*0.3.\nAnswer: 0.558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1181 greater than -91002\/77?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + 2*m - 85, h - 82*m + 86*m - 17 = 0. Put -0.4, 1\/5, 2, 0.05, h in decreasing order.\nAnswer: h, 2, 1\/5, 0.05, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.9? (a) -2\/5 (b) -1 (c) 0 (d) 12 (e) 7521 (f) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -158 - -162. What is the third biggest value in q, 0.4, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ocot when four letters picked without replacement from {s: 1, c: 2, t: 12, o: 4}.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -28 + 12. Let o = -10 - m. Let z(v) = 2*v**2 - 32 - 6*v - 36 - v**2 - 28 + 94. Give z(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -5*h - 21, 0*g - 4*h - 13 = 3*g. Let m = g + 3. Solve m*b = -5*a + 1, 3*a - b - 6 = 2*b for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*p - 2*p**3 - 2*p**3 - 3*p.\nAnswer: -4*p**3 - 15*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 84 and 632292.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -12*m**2 + 11*m**2 + 14*m**2 + 13*m**2. Let q(b) = -14*b**2 + 6. Let z(r) = 12*r**2 - 5. Let s(i) = -5*q(i) - 6*z(i). What is s(p(w))?\nAnswer: -1352*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12*(-121)\/572)\/(3\/51) + (-16)\/(-104).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3*-0.075\nAnswer: -0.225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -17. Let x = 3 + 1. What is the least common multiple of p and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*q + 30*q + 2*q**2 - 6*q**2 + 21*q - 133*q.\nAnswer: -4*q**2 - 76*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 51.038 - 0.038. What is the third smallest value in 0.5, 1, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12.999892 + 13. Round t to five decimal places.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -4*h**3 - 4*h**2 - 1. Let v(f) = 9*f**2 + 2 - 4 - 2*f**3 + 3 + 11*f**3. Determine -5*n(l) - 2*v(l).\nAnswer: 2*l**3 + 2*l**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3, 14, 39, 84, 155?\n\"Answer: k**3 + k**2 + k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - 0. Is 2\/5 - (-10386)\/h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1633271*j - 1296 = 1633223*j for j.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -888, 1, -2, -126 in ascending order.\nAnswer: -888, -126, -2, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/251, 67, -1\/5, -4, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 32112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 20034\/131 less than or equal to 152?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 17030 (base 10) in base 12?\nAnswer: 9a32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 458622?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + -6. Let n be (4 - o\/1)*2. What is the greatest common factor of 56 and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*p = -9173 + 10277 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 34*t**2 + 2*t + 1. What is q(-1)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l**4 - 16*l**3 - 32*l**2 - 12*l - 2. Let n(a) = 2*a**4 + 15*a**3 + 33*a**2 + 11*a + 3. Let v(q) = 3*i(q) + 2*n(q). Factor v(h).\nAnswer: -2*h*(h + 1)**2*(h + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(189) - sqrt(189)*6) + sqrt(21))\/sqrt(7).\nAnswer: -14*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/(-3)*5\/20)\/1. Let o = 0.01 - -0.608. Let g = o + -0.018. Which is the second biggest value? (a) w (b) g (c) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kwbwehwbdehd. What is prob of picking 1 d and 1 k?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + r = 4*r + 11, 0 = 2*r + 10. Let y be b\/(-4) + (-374)\/572. What is the closest to -0.5 in 0.3, y, 1\/3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 572 and 17297852?\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of 2*h**5\/105 - 13*h**4\/42 + 46*h**3\/63 - 11*h**2\/21 - 58. Determine t so that d(t) = 0.\nAnswer: 0, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001161361 to five decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -53.58029 and -1666?\nAnswer: 1612.41971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3352010 (base 8) to base 10.\nAnswer: -906248","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 928?\nAnswer: 928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 2*a - 28, -4*i + 4*a + 32 = -20. Suppose i*h + 11*h = 18212. Is h a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*p - 848 = -35*p + 368. Calculate the remainder when 6649 is divided by p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 523\/(-6 - (-2616)\/432) a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-1743)\/(-7) + 15)*(-22)\/(-8) is divided by 81?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**2 + 2*s - 6. Suppose 2*x + m = 1, 3*m - 40 = -5*x + 8*m. Determine b(x).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/33 and -5*182\/(-315)*66\/(-40).\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 + 17*h**2 - 14*h - 16. Let o be q(16). Suppose -2*l - o = 2*a - 0*a, 0 = -2*l - 6. Let x(y) = 5*y**2 - 11*y - 37. Is x(a) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 9188 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -14346 - -86?\nAnswer: -14280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 160714627 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 PM and 4:59 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8049564 is divided by 1788?\nAnswer: 1776","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 7 - 2)*(0*v - 6*v + 3*v) + 11*v - 1 + 0 - 22*v.\nAnswer: -17*v - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -44, 18, 52, 46, -12, -134, -332, -618?\n\"Answer: -2*a**3 - 2*a**2 + 82*a - 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 5*a = -3*o + 18, 2*a - 11 = 5*o. Let m = o - -5. Suppose -2*l + 3*b = -m, -56 = -5*l + b - 5*b. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-22 - -6) + 15 - (-1 + 22)) + 3?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oeroooe. Give prob of sequence oe.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 5*w + 1 + w**2 + 5)*(w + 3*w - 3*w).\nAnswer: w**3 - 5*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 86400239?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.7 and -55.07.\nAnswer: 38.549","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(((-9)\/(-3))\/(-39)). Let k = 4 + i. Find the second derivative of -k - 5*w + w**4 + 17 wrt w.\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(325) + -2*(sqrt(325) + -1) + (sqrt(3744)*-1 - sqrt(3744))\/(-1*sqrt(2)*-1).\nAnswer: -29*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 44, -69, -256, -517, -852, -1261, -1744?\nAnswer: -2301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8*4\/(-16) - -1470?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 7, -1, -0.22, -2?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 8*p**3 + 7*p**2 + 6. Let w(k) = -16*k**3 - 14*k**2 - 11. Let l(g) = -11*d(g) - 6*w(g). Find the third derivative of l(v) wrt v.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - v + 973 + 1191, -5*c = 4*v - 2694. Calculate the highest common divisor of c and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/6? (a) -8 (b) -2\/35 (c) 1\/8 (d) 98\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 101 + 314114?\nAnswer: 314215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -1817*u**3 + 2*u**2 - 10*u. Is f(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 2*z**4\/15 - 148*z**3\/15 + 538*z**2\/15 + 1528*z\/15 + 56 = 0.\nAnswer: -1, 6, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a**2 + 38*a + 69 = 0. What is a?\nAnswer: -23\/5, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*y + 8*y - 4. Let l be ((-5)\/4)\/(y\/16). Suppose 2*g - 2 = -l*u + 3, -4*u - 5*g = 13. Solve -5*n = -u*b - b, b = 5*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - -1. Suppose -3*l + o = 5*a, -l - 1 = 4*a - 3. Let x be (-4)\/18 - (148\/(-18) + 4). Solve -4*z + l*z + x = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 883671?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2964 - -2\nAnswer: 2966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-36)\/(-441)*126\/(-12))\/(1\/7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25 + 28. Suppose 3*r + 2*d = -0*r + 15, -2*d + 5 = r. What is the biggest value in z, 1, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**6*g**4)\/(g\/(g\/(g\/(g\/g**(-2\/7)))))**(3\/4)*((g*g**(-2\/5))\/((g*g**(-2\/7)\/g*g)\/g))**50 assuming g is positive.\nAnswer: g**(87\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2153 (b) 0 (c) 0.3 (d) -0.4 (e) -1\/5 (f) 0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.921 + -0.922412. What is p rounded to 5 decimal places?\nAnswer: -0.00141","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7072\/3 - -2356. What is the smallest value in 0, -7, t, 0.225?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 2 = 5*r, 4*r + 4 = 2*w - 8. Suppose -w*m - m = 114. Let t = m + 57. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -1\/170, -2\/19 in decreasing order.\nAnswer: -1\/170, -2\/19, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, 2149.\nAnswer: -3, -1, 2149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -4*u**3 + 8*u**2 - 4*u + 6. Let w(r) = 7*r**3 - 16*r**2 + 9*r - 13. Let i(x) = -5*g(x) - 3*w(x). Let y = -1 + 8. List the prime factors of i(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29939?\nAnswer: 7, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2680667094?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/17 in 1\/2, -2\/9, -2.7, -3\/5, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(684) - ((0 + 0 + sqrt(684))**2 + sqrt(684))) + 3 + (sqrt(684) + (1 + sqrt(684))**2 + sqrt(684) - sqrt(684)))*-1.\nAnswer: -18*sqrt(19) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -5*u**3 + 13*u**2 + 246*u - 90. Determine j(-6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24 - 23. Let r be ((-7800)\/70)\/(o\/(-7)). Round r to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 31.1 + -10.9. Let g = 20 - h. Which is the second biggest value? (a) g (b) 3\/2 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(4\/2))\/((-1155)\/(-7560))?\nAnswer: -36\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fe when two letters picked without replacement from nbnsfee?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 9:02 AM?\nAnswer: 8:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9697539 to the nearest integer?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*v = 60*v - 837. Calculate the smallest common multiple of 324 and v.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3098 - 3097. What is the fourth smallest value in 26, 0.4, 0.06, n?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 4*k**2 - 3*k - 4. Let x(t) = 17*t**2 - 13*t - 17. Let c(y) = 9*j(y) - 2*x(y). List the prime factors of c(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 24 - (0 + 0)\/(-1 - 1). Suppose 0 = y*r - 20*r - 20. What are the prime factors of 12\/15 + 356\/r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7325.\nAnswer: 5, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 5) in base 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 117411 + 15?\nAnswer: 117426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mxmzxxmtxzxxlxatzl. Give prob of picking 1 a and 1 m.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 67966?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/70 and 124622\/10374 - (661 + -649).\nAnswer: 51870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, w: 3, s: 1, x: 6, o: 2}. What is prob of picking 1 s, 1 y, and 1 w?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3775998 and 296?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2763676715 to the nearest integer?\nAnswer: 1403","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 + p - 1. Let u(c) = 6*c**2 + 12*c - 12. Let j be 6\/(-27)*(12 + 60\/(-8)). Give j*u(z) + 12*q(z).\nAnswer: -18*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/19, -1\/8, 7, -3, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 260206899 to the power of 1\/2, to the nearest integer?\nAnswer: 16131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z**3 - 10*z**2 - 8*z - 20. Let c be o(6). Find the second derivative of -3395*n**4 + 6744*n**4 - 3529*n**c + 62*n wrt n.\nAnswer: -2160*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 - 30*q**2 + 2274*q - 10505. Give l(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a decade in months?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of -m**6\/360 - m**5\/30 + 7*m**4\/72 + 38*m**2. Factor r(v).\nAnswer: -v*(v - 1)*(v + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 11*f**2 - 2*f. Let o(r) = 23*r**2 + 21*r - 35. Let c(m) = 8*m**2 + 6*m - 10. Let w(z) = 7*c(z) - 2*o(z). Calculate y(w(g)).\nAnswer: 1100*g**4 - 20*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is d0a (base 14) in base 15?\nAnswer: b58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -12 - (31\/(-8) + -8). Which is the nearest to 0? (a) 0.2 (b) 0.1 (c) -1\/2 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -7*d - 27. Determine a(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 246183.\nAnswer: 3, 7, 19, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 21*z + 254 + 244 + 248 - 987 + 239. Let t(j) = -3*j - 2. Calculate t(l(h)).\nAnswer: -63*h + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -8*y**2 - 10*y - 15. Let j be h(-6). Let u = -166 - j. Suppose -3*w + 55 = -u. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5817057 is divided by 81?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1018547468 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*g - 3*u + 19, -7*g - 1 = -3*g - 3*u for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -183257*o**3 + 2 - 2 + 183146*o**3.\nAnswer: -111*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.700494853 - 0.7005. What is a rounded to 6 dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -13*o**2 - 3*o. Suppose w + 3 = 3*l + 1, l = w - 2. Let x(r) = 0*r - l*r - r + 5*r. Determine i(x(c)).\nAnswer: -52*c**2 - 6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 742249 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9.4 or 0.3?\nAnswer: -9.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5.4? (a) -3\/2 (b) 0.0026 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of 7\/6*y**4 + 0 - 12*y - 1\/2*y**2 + 1\/3*y**3. Give q(1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/24 in -94, -1\/9, 0.3?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1461974577 + 5.\nAnswer: -1461974572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 9585919.5 to the nearest one hundred thousand.\nAnswer: 9600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 2 = 2*i, 2*i - 15 - 1 = 4*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*g - 2*g - 3*g + (-4 + 2 + 0)*(-g + 3*g - 3*g) - 1 + 1 + g + (-5*g + 0*g + 3*g)*(3 - 1 - 1) - g + 2*g - 2*g.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -104\/1451 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1408 less than or equal to -1408?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 147217 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -5*c + 34, -24 = -3*c - 0*b - 3*b. Let n(g) = 2*g**3 - 3*g**2 - 4*g + 2. Let p be n(3). Let h = p - c. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 58565583 to the nearest integer?\nAnswer: 7653","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29865*k**3 + 68 - 132 + 86351*k**3 + 64.\nAnswer: 116216*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 288 - 141. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -132 by -1.\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 - -7.651.\nAnswer: 9.651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -113 and -0.14519?\nAnswer: 16.40647","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 e when two letters picked without replacement from tbtuagettttttb?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -20342*r**4 + 56*r + 15874992 wrt r.\nAnswer: -81368*r**3 + 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 770*l - 153*l + 2982 = 404*l for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 157401238.\nAnswer: -78700619","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/((-2 + 0)\/(-10)). Let j be -1 + -1 - 18\/(-8). What is the third smallest value in -0.3, j, l?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyyycycyyyycyy. Give prob of sequence cy.\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (36 + 62 + 61)*(0*o + 0*o - 2*o) to i*o + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -3*r**3 + 7*r**2 + 2*r - 2. Let c(k) = 0*k + 1495*k**3 + 386*k**2 - 3 + 3*k - 1499*k**3 - 378*k**2. What is 4*c(o) - 6*g(o)?\nAnswer: 2*o**3 - 10*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2857, -2856, -2855, -2854?\n\"Answer: h - 2858","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (34\/(-10) + (-2)\/(-5))*-1. Let r(z) be the first derivative of -u + z**4 - 16*z**2 + 2*z**2 - 11. What is the second derivative of r(d) wrt d?\nAnswer: 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11 by -850.\nAnswer: -11\/850","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1196 + 12*u - 12*u - 1660*u**2 + 1196 + 1654*u**2.\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -63 times -18.618?\nAnswer: 1172.934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -503422900 to the nearest one million.\nAnswer: -503000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 19497582 to the power of 1\/2, to the nearest integer?\nAnswer: 4416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 705 + -326. Suppose g = 3*y - 2*y. Let r = y + -160. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*u = 24*u + 45 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 194*h**2 - 9505. Let q(v) = -25*v**2 + 1188. Let m(l) = 4*g(l) + 31*q(l). Let c(r) = r**2. Calculate c(m(n)).\nAnswer: n**4 - 2384*n**2 + 1420864","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 5\/4 of a century?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 372 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 181078838 to the nearest integer?\nAnswer: 13457","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 57985 + -57985.00023899. What is a rounded to 5 dps?\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5263 to the power of 1\/2, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of -w**6\/40 - w**5\/15 - w**3\/2 + w**2 - 14. Let n(h) = -2 + 1 + h**2 - 2*h**2. Suppose k - 8*k + 7 = 0. Give k*d(c) - 4*n(c).\nAnswer: -3*c**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -29 + 49 + (-7 - 30)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of -2*n**5\/5 - 4*n**4 - 44*n**3\/3 - 24*n**2 - 18*n + 12. Solve f(x) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(130))\/sqrt(10) + -2)**2 + (-2 + sqrt(13) + -5 - (sqrt(1300) + sqrt(1300) + (sqrt(1300) - (sqrt(1300) + 2*sqrt(1300)))))**2.\nAnswer: -2*sqrt(13) + 183","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(1 + (sqrt(136) - (sqrt(136) + 2*-2*sqrt(136) - sqrt(136)))\/(sqrt(648)*-6))**2.\nAnswer: -3341\/729 + 20*sqrt(17)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 432\/162*3\/2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from awn. What is prob of sequence wa?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(1 + sqrt(2057)) - sqrt(2057))**2 - (sqrt(153) + (sqrt(153) - (sqrt(153) - sqrt(153)*3))*4).\nAnswer: 93*sqrt(17) + 18517","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 3. Is 2 < u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 67036126?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**1\/s)**(5\/3)\/(s\/((s\/(s*s**(-1\/2))*s)\/s)*s)**(4\/39)*s**(3\/7)*(s**(-2\/11)\/s)\/s*s*(s*s*s**(-2))\/s**(-1\/7) assuming s is positive.\nAnswer: s**(-765\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rcjrjjjrcj. What is prob of picking 2 j?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 190143 and 18759.\nAnswer: 32134167","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18974529 and 2108281?\nAnswer: 18974529","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 185650?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of -1699*c**6\/6 + 2027*c**2\/2 + 10904. Find the second derivative of s(k) wrt k.\nAnswer: -33980*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/(z*z\/(z*z**(-28)*z)))*z)\/(z*(z*z*z**18*z)\/z) assuming z is positive.\nAnswer: z**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -7*o - 71. Let q be d(-10). Let n = 0.39 + 19.61. Which is the nearest to n? (a) q (b) -2 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 723209.\nAnswer: 723209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 - 48 - 30)*(u + 0*u + 0*u)*(2 - 2*u - 2)*(u + 1 - 1).\nAnswer: 190*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 18 + 2. Suppose -4*k - 36 = -s*y, -k = 3*y + 4*k + 8. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of i**6\/6 + i**3 + 15*i. What is the second derivative of l(z) wrt z?\nAnswer: 60*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17 - -7) + 5 - 1\/(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t + 12. Let z be b(-3). Let w be (z\/5)\/(3\/8). Calculate the highest common divisor of w and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence brl when three letters picked without replacement from ljbzr?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 406 and 2204?\nAnswer: 15428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 5*j = 30, 33*j = -5*p + 36*j - 34 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 191*x**2 - 1533*x + 39. Calculate o(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11859162 and 270?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -29091*o - 1309109. What is g(-45)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, b: 2, p: 4}. What is prob of sequence ip?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -2*p + 35, 4*j + 48 = 2*p + 2*p. Let k = 1 + j. Calculate the remainder when 16 is divided by (-6)\/30 - 92\/k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*d)*(-659*d**2 + 659*d**2 - 4 - 8*d**3).\nAnswer: 16*d**4 + 8*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 185 and 74.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 799 + -798.2652. What is h rounded to one dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-8)\/28)\/(60\/(-28) - -2). Let y(b) be the first derivative of -3\/2*b**a - 4 - b. Differentiate y(x) wrt x.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xjxx when four letters picked without replacement from {p: 4, x: 8, f: 7, j: 1}?\nAnswer: 14\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + f + f)*(-6*f**2 + 12*f**2 + 0*f**2) - 2*f**2 + 2*f**3 + 2*f**2 + (0 - f**2 + 0)*(2*f - 2*f - f) + 0*f + 0*f + f**3.\nAnswer: 10*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 + 9*l**2 + 12*l - 8. Suppose -5*v + 5*d = -235, -d + 6 - 194 = -4*v. What is the remainder when v is divided by b(10)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w + 9*w + 3*x + 38 = 0, 4*w - x = 86. Calculate the lowest common multiple of 8 and w.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of 4*u + 7\/2*u**2 + 20 + 1\/3*u**3. Let i be -5*3\/((-15)\/(-4)). Give n(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-48)\/14)\/((-656)\/1148)*(-2)\/(-16)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 17 divided by 54381\nAnswer: 17\/54381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2 + (-3 - 7138))*(44\/33 + -3).\nAnswer: 5, 2381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 11, 16, 23, 32, 43, 56?\n\"Answer: l**2 + 2*l + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -44 (base 12) to base 7.\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 36 = 5*h, -51*h - 23 = -48*h + o for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1082199 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3026887886?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -76, -88, -102, -118, -136?\n\"Answer: -v**2 - 9*v - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 51147369857 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22781?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*r**3 + 76*r**3 - r**3 + 47*r**3.\nAnswer: 96*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -19631*c + 903021. Determine i(46).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -8*(-6)\/(-48)*-4\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1025 is divided by 54.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -6*f**3 + 21*f**2 - 3*f + 4. Give r(4).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*l**2 - 6*l**2 + 73*l**2 + (1 - l - 1 + (l + 2*l - 5*l)*(2 + 1 - 2))*(-l + 2*l + 0*l).\nAnswer: 55*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -8 (b) -0.5 (c) -2.2 (d) 7 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 2 h, and 1 o when four letters picked without replacement from {s: 5, o: 1, d: 1, h: 2}.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*p**2 - 2*p**2 + 3*p**2)*(3*p + 0*p - 5*p) + 6*p**3 - 8*p**3 + 12*p**3)*(4 - 1 + 5)*(161 - 161 - 154*p).\nAnswer: -17248*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 (base 16) in base 13?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 303591 = 3*t, -3*t - 151809 = 192*p - 193*p. What is p rounded to the nearest 1000?\nAnswer: 152000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 44200 - -135?\nAnswer: 44335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2235*j + 1 - 4492*j + 2293*j + 0 - 1.\nAnswer: 36*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 3*h**2 - 84*h - 427. Determine f(33).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -256160*g**5*p - 67727*g**2*p + 2*g**2 wrt g?\nAnswer: -15369600*g**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 80056238 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12116940?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/21 in -1, 0.3, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 - 11*p**2 + 9*p - 8. Let t(v) = 25*v + 104. Let l be t(-4). Let y be j(l). Put -1\/3, 3, y in increasing order.\nAnswer: y, -1\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-20)*(-64)\/16\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12989 is divided by 54?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -13bcc8 - -ca?\nAnswer: -13bbdc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 8*h + 4. Let j(t) = 23*t + 11. Let l be (2\/1 - 3) + 6. Let i be (-41)\/(-2) + (-45)\/10. Let n = l - i. Determine n*x(u) + 4*j(u).\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -188, -193, -202, -215, -232, -253?\nAnswer: -278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51346752?\nAnswer: 2, 3, 267431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 17*l. Let q(z) = 68*z. Let s(p) = -17*o(p) + 4*q(p). Let m(i) = -i - 1. Let y(w) = -w + 1. Let b(f) = m(f) + y(f). Determine s(b(v)).\nAnswer: 34*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9.432724l?\nAnswer: 9432.724","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.022 + -0.022. Which is the second biggest value? (a) 0.12 (b) h (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 + 33\/15)*3\/6?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 32*h**5\/3 - 16*h**4\/3 + 2*h**3\/3.\nAnswer: 2*h**3*(4*h - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -8 - 52. Suppose 0*s + 56 = 3*s - 2*a, -5*a = g. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 2*o**4 - 884*o**3 - 8064*o**2 - 24300*o - 24354 = 0?\nAnswer: -3, 451","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2844 + -1477. List the prime factors of n.\nAnswer: 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*q - 11*q - 444 = 0. Does 2 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {z: 3, g: 7, s: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 + 7*k**2 + 8*k + 8. Let c be u(-6). Let r be 2 + c\/(8\/(-10)). Solve -13 = 5*n + r for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3591 + -64619\/18. What is the common denominator of -59\/204 and y?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -71, -59, -25, 43, 157?\n\"Answer: 2*i**3 - i**2 + i - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-33)\/p*p*p)\/p*p*p\/(p\/((p\/((p*p*p\/(p\/(p**(-1\/4)\/p)))\/p*p*p))\/p)*p) assuming p is positive.\nAnswer: p**(-139\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26.83 - -21.83. What is the closest to 0 in -11, q, -2, 0.16?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(1\/4))**(-32))**(-11) assuming k is positive.\nAnswer: k**88","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 2)*(-g + g - g) - 510*g - 229*g - 402*g - 2*g + 1 - 1.\nAnswer: -1141*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 226833 (base 9) in base 7?\nAnswer: 1105203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-8)\/110)\/((-2)\/5). Let s = 5 + -3. Suppose 0 = 5*o + 10, -3*w = s*w + 3*o - 4. Which is the nearest to -1? (a) k (b) -0.5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -92*b**3 + 5*b**2 - 3*b - 9. Let x be y(-2). Let w = 1129 - x. What is the hundreds digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 95*v**4 + 65*v**3 - 375*v**2 - 565*v - 220 = 0. Calculate v.\nAnswer: -1, 44\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -882 - -108488\/123. Let b = h + 1142\/369. Find the common denominator of b and 10\/45*(-201)\/(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y**2 - 19*y + 39. Is j(15) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 362143470 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1560 - 1563. Let q(v) = v**3 - v**2. Let d be q(2). Which is the nearest to -1\/3? (a) g (b) d (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4212)\/3465 + (-2 - (-15)\/7). Let o = -14\/11 - u. Let z be (-7)\/7 - 6\/(-4). What is the third biggest value in 0.2, 3, z, o?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.7 - -0.3. Let l = 541\/2655 - 2\/531. What is the closest to f in 1, l, -2\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 62*p - 70*p + 8720. Is 12 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 2\/9, 27, 2\/11.\nAnswer: -12, 2\/11, 2\/9, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a microgram in nanograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 148707 and 10188.\nAnswer: 168336324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 786, 1556, 2320, 3078?\nAnswer: 3830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/5 of a meter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 2 = -2*x, -5*x + 8*x - 21 = -3*p. Suppose 3*g = -n + 1587 + 27, -x*n = 2*g - 8005. List the prime factors of n.\nAnswer: 3, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((8\/176)\/(11\/55))\/(1000\/80)\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -25, -41, -131, -331, -677, -1205, -1951?\n\"Answer: -6*s**3 - s**2 + 29*s - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 2:30 AM?\nAnswer: 6:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hrr when three letters picked without replacement from wcwrcchhwwawcwrcr?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2404230401 (base 5) to base 7.\nAnswer: -65041035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26515\/14 + -1892. What is the common denominator of b and -95\/14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/19, 0.0326541408, -1\/2 in ascending order.\nAnswer: -1\/2, 0.0326541408, 2\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-6)\/4)\/(-3) - 227\/(-2) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15845)\/(-19014) + (-59)\/42.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1004\/72*4 + (-8)\/(-36). Let y = -15 + r. Let t = y - 38. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 149.3728 meters to micrometers.\nAnswer: 149372800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -60 - -59. Let v = 2849 + -3049. Sort c, 0.4, v in ascending order.\nAnswer: v, c, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2974 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 996 is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1686430301 to the nearest integer?\nAnswer: 1190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 302*p**2 - 435*p*r + 3865377*r with respect to p.\nAnswer: 604*p - 435*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*z**2 - 46*z - 7*z + 25*z.\nAnswer: -15*z**2 - 28*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6047 or -6017?\nAnswer: -6047","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 + 2 = 5*t, 5*s + 2*t = 153. Let d = s - 14. Let a be -2 - 1368\/(-10) - 9\/(-45). What is the highest common divisor of d and a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + (-9 - -4) + -2. What is the second biggest value in g, 0, -27?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1142 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4800512 and 512.\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + -4. Let t = 2.8 - f. Suppose 2*x - 23 = -5*d, 2*x - 3*x = -d - 1. Which is the nearest to 0.1? (a) x (b) -0.5 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 65 - 195. Let x = 24 - s. Let h be ((-44)\/12 - -4)*(x + 0). What is the closest to 2 in 4, h, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -227236*w + 113546*w - 2*w**2 + 113690*w.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*y - 19 - 13 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 d, 1 c, and 1 z when four letters picked without replacement from {j: 12, z: 2, t: 2, c: 2, d: 1, g: 1}.\nAnswer: 8\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*i - i = -0*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -5*l. Let i(w) = -w + 1. Let n(f) = 5*f - 5. Let k(h) = -4*i(h) - n(h). Calculate g(k(d)).\nAnswer: 5*d - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -11*v + 15*v. Let s = v - 7. Let x be (-6 - 4)*s + -2. Solve -26 = j + 5*p, -x*p - 20 = -4*p for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4630698979?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 4*w**2 + 12804*w + 76680 = 0.\nAnswer: -3195, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of -f**6\/120 + f**5\/60 - 2*f**2 - 2*f. Let r(h) be the first derivative of j(h). Factor r(n).\nAnswer: -n**2*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.5627 - 0.1627. What is the biggest value in -2, -6, -67, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 3*y = 0, -3*h + 4 = -0*y - y. Let n(q) = 2*q**2 - q - 5. Let s(a) = a**2 - a - 1. Let r(o) = -n(o) + 5*s(o). Is r(h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-25*r**2 + 21*r**2 - 2*r - 4 - 3)*(-2*r - 8 + 8) to the form m*r**3 + f + z*r + w*r**2 and give m.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i - 4*i + 4*i)*(3 + 3 - 4)*(-12*i**2 + 11*i**2 - 6*i**2).\nAnswer: 14*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 88 - 154. Let c = 108 + o. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -261 - -260.9781. Round s to 3 decimal places.\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4471a (base 14) to base 4\nAnswer: 220202110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3190 or 3189?\nAnswer: 3190","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 2:55 AM?\nAnswer: 3:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -905*i**2 - 895*i**2 - 1128*i**3 - 2*i + 1427*i**2 wrt i.\nAnswer: -6768","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, 2\/21, 30, -42, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 1741?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12\/287 + -20413\/861. Let d = -122\/69 - 36\/23. Find the common denominator of d and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -185*q + 4. Let g be a(-2). Calculate the highest common divisor of g and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -52 - 24. What is the remainder when 67 is divided by 10\/15 + (o\/3)\/(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -32, 2, -3299, 4, -2?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*w - 207*z + 202*z + 3, 2*w + 3*z - 1 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 956877?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, 1\/2, 2\/1069 in descending order.\nAnswer: 1\/2, 2\/1069, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -7, 0, 2\/113, -2\/5, 1\/24901, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-70) - ((-390)\/117 + (-244)\/(-30)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17871827 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 447 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7a (base 12) to base 3.\nAnswer: 10111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**3 - 5*f**3 + 3*f**3)*(-13 - 8 + 7).\nAnswer: 14*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 5 + 3)*(0 - 2 + 4) - 1 + 0 - 1 - 4 + 4 - 2 - 78 + 10 - 25)*((-4*k + 2*k + 4*k)*(-1 + 1 - 1) + 1 - 2*k - 1).\nAnswer: 396*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -10*a**2 + 74*a + 49. Let t(s) = -5*s**2 + 36*s + 24. Let c(k) = 3*l(k) - 7*t(k). Is c(-28) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1166, 2334, 3494, 4640, 5766, 6866, 7934?\n\"Answer: -c**3 + 2*c**2 + 1169*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 89962 != 89969?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (191 - 191 + 7*y)*(-y + 3*y - 4*y + 0*y + 2*y - 4*y + (1 - 1 - 2)*(-3 + y + 3)).\nAnswer: -42*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -34 + 10 + 14.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 494 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2*20\/(-24))\/((-2)\/6). Let g(d) = z + 18*d**2 - 16 + 10 + 2*d. Calculate g(1).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 297, 4, 0 in decreasing order.\nAnswer: 297, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -163*c**3*i**3 + 5*c**3 + 57*c**2 + 49*c - 8*i**4 wrt i.\nAnswer: -489*c**3*i**2 - 32*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*k**3\/11 + 3427730*k**2\/11 + 1468723175024*k\/11 + 4405830186336 = 0. Calculate k.\nAnswer: -856916, -33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 2873089?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 0*a = a - 37, -a + 1 = 0. Let s(l) = 18*l - 6*l**2 - 7 - 5*l**3 - 12 + 4*l**3 - n*l**2. Let q be s(-19). Solve 2*k - 3*k = q for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -6*r**5 - 3*r**4 + 3*r + 3. Let i = -4 + 7. Let a(s) = s**5 + s**4 - 1. Let q(f) = i*a(f) + d(f). What is the second derivative of q(g) wrt g?\nAnswer: -60*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 16*i**2 + 4*i + 1. Let u be q(-5). Suppose -4*w + 3*k = -508, k + k + u = 3*w. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.7791499 millennia?\nAnswer: 9349.7988","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/12*220\/495*6\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2bc - 1?\nAnswer: -2bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + 1. Suppose 8 - 33 = m*y, -4*y - 32 = -4*n. Suppose -n*t + 28 = t. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -3*t**2 - 107*t + 56. Let j(q) = -q**3 - 36. Let n be j(0). Let m(p) = 5*p**2 - 2*p. What is the lowest common multiple of u(n) and m(2)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3014, -0.4, 0.3 in increasing order.\nAnswer: -0.4, 0.3, 3014","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 64 = -63 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5819\/3 - -1947. Factor 6*s - 4\/3 + x*s**2.\nAnswer: 2*(s + 1)*(11*s - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of -19*k**4\/24 + 2*k**3 + 15*k**2. List the prime factors of x(-2).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 + 11. Let c(m) = 96*m - 4. Determine n(c(y)).\nAnswer: 9216*y**2 - 768*y + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 223 + 9 + 2*y**3 - 4 - 880*y**2 + 29 with respect to y.\nAnswer: 6*y**2 - 1760*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*s**2 + 2*s**2 - 3*s**2 + (s**2 + 1 - 1)*(-3 - 3 + 4) + 75*s**2 + 35*s**2 - 9*s**2 + (-s**2 + 3 - 3)*(2 - 3 + 3).\nAnswer: 99*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -1514000 to the nearest ten thousand.\nAnswer: -1510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of -5*c**7\/14 + c**4 - 3*c. What is the third derivative of b(j) wrt j?\nAnswer: -900*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - -1 - (20 + 6 + (-9 - 10))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 558 (base 11) to base 16\nAnswer: 29c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*h**3 + 5*h - 86*h - 48*h - 4*h**3 to the form i + x*h**3 + a*h + t*h**2 and give a.\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1539 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 24 = -3*m. Let s be 5\/((12\/m)\/(-3)). List the prime factors of ((-198)\/(-15))\/((-4)\/s).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -133 + 132.879. Let n = -1.879 + g. Let y(c) = -c**2 + 11*c + 14. Let l be y(12). Put l, -1\/11, n, -0.4 in decreasing order.\nAnswer: l, -1\/11, -0.4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/(-4))\/(37092\/(-6744)).\nAnswer: -7\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3554 is divided by 2825?\nAnswer: 729","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 610 + -93. List the prime factors of t.\nAnswer: 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 16 + -267?\nAnswer: -251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 7051, 7048, 7045?\n\"Answer: -3*f + 7054","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 h when two letters picked without replacement from qxhvq.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 218*f = 215*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -141 + 291. Calculate the greatest common divisor of 30 and r.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11024185 divided by -4\nAnswer: 11024185\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-29)\/((-87)\/(-6)) - 8 - (-32 + 0)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 3 = 2. Suppose -5*i + 3 = -5*s - 2, -2*s - 11 = -j*i. Is i a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -643 + 644. Let a(h) = -1 + n + 18*h + 26*h - 46*h. Let c(b) = -2*b**2 + 4. Calculate c(a(d)).\nAnswer: -8*d**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, l: 4, j: 4, p: 2, x: 1, b: 3}. Give prob of picking 1 s, 2 j, and 1 l.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/57318 and -67\/28659?\nAnswer: 57318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 10248880847 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 862652188 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 224367186?\nAnswer: 2, 3, 37, 337, 2999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1480635.\nAnswer: 3, 5, 13, 2531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-1\/6)\/v**(-3\/22) assuming v is positive.\nAnswer: v**(-1\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1300) + -1)*5.\nAnswer: -5 + 50*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1282385?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 17 in -2, 0.3, 0.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -623642 - 2?\nAnswer: -623644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4353, 17098, 38231, 67752, 105661?\nAnswer: 151958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1044 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z - 4*z + 6*z)*(-2 - 13 + 1)*(17*z**4 - 30 + 30) - 8*z**5 - z**5 - 4*z**5.\nAnswer: -251*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5 - 95\/15)\/((-1)\/(-9)). Let x = 367 - a. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -25, -23, -3, 41, 115, 225?\nAnswer: 377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one eighths of a second in milliseconds?\nAnswer: 6375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/46 - (9378\/(-1656) + 5)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7a9 (base 15) to base 9.\nAnswer: -2336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/2 - 1) + 1. Suppose t = r*t. Let g = -238 + 2621\/11. Which is smaller: g or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1271?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 362 - 377. Let o(c) = c**3 + 15*c**2 - 6*c - 81. Let n be o(x). Calculate the greatest common divisor of 522 and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m**3 - m**2 + 0*m + 0*m)*(14 + 6 + 12).\nAnswer: -128*m**3 - 32*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + 3 + 9 + 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, f: 1, r: 2, p: 5, l: 3, b: 1}. What is prob of sequence tl?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 2 - (-6 + -11 + 13)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*r - 16 = -23*r. Which is the biggest value? (a) r (b) 2\/17 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 6:38 AM?\nAnswer: 9:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 395*m + 11165. Let x be k(-29). Is x at least -1165\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**2 + 3*v**2 + v**2)*(1 - 1 + v**2) + (5*v**2 + 2*v**2 + 6*v**2)*(45*v**2 + 24*v**2 - 7*v**2).\nAnswer: 808*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*4*sqrt(121)*1)\/(((sqrt(88)*2)\/sqrt(2) + sqrt(44))\/sqrt(4)))**2.\nAnswer: 176\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 29 - -43?\nAnswer: 6c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 2*g = -30. Suppose g*h + 22 = -14. What are the prime factors of (-36)\/(-6) + h + (-228)\/(-2)?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(605) + sqrt(605)*1 + -4 + -6*-1*sqrt(605))**2 + 0.\nAnswer: -704*sqrt(5) + 38736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/27)\/((-8)\/144*16)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 10 + 50 = 0. Suppose 0 = -2*g, f = 2*v + g - 84. What is the highest common divisor of 8 and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 66 + -66. Suppose i = -4*h + 6*h - 26. What is the lowest common multiple of 11 and h?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-7)*t)\/((t**(1\/3)*t*t)\/t)*(t*(t**(-2\/5)*t*t)\/t)**25 assuming t is positive.\nAnswer: t**(98\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 470503 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + 4*a - 20, 0*a - a + 3 = 0. Let q be 7\/4 + f\/8. Suppose j + 14 = 8*j. Is j bigger than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/3*18\/(-4). Suppose -364 = -m - d*m. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 73112.68 + -0.07049094.\nAnswer: 73112.60950906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = b + 7. Let j be (-4 - -5)*b\/(-2). Sort j, -1, 2 in ascending order.\nAnswer: j, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-1125)*(-240)\/(-32).\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -231*u**2 + 81*u**2 + 44*u**2 + 67*u**2 + 79*u**2.\nAnswer: 40*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 3 + 2)*(-6 - 9 + 4)*(8284 - 178*y - 8284) - 3*y - y + 0*y - 2 in the form x*y + o and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104 + 80 = -23*q for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 349.\nAnswer: -34.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 2 + 1)*(3*i - 5*i + 0*i) + i + 2*i - 2*i)*(2*i + 2 - 2)*(0*i + 3*i + 2*i).\nAnswer: -30*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 2 = -5*k + 12, -5*k = -4*z - 1. Let w be (3\/(-12))\/1 - (-26 + (-301)\/(-12)). Which is the nearest to w? (a) -4 (b) 1\/2 (c) z (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7632.79 and -0.18?\nAnswer: -1373.9022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cw when two letters picked without replacement from {q: 3, c: 5, b: 2, w: 3}?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 o when three letters picked without replacement from {o: 4, g: 4, m: 1, p: 2}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rh when two letters picked without replacement from heeeehrehehhhhhepeh?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 793?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, 3, 5, 4, -1, 0, 466 in descending order.\nAnswer: 466, 28, 5, 4, 3, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - 1) + 7\/1. Suppose -3*a - 15 = 0, -j*a = s + 2*s - 89. Calculate the remainder when s is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 PM and 2:59 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 199*r - 134. Is l(9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of 1\/60*b**5 + 2*b**2 - 15 + 0*b**3 + 0*b + 1\/6*b**4. Factor y(u).\nAnswer: u*(u + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -3*w - 59. Let r be u(-18). Put 6, -1, 0, r, 4 in increasing order.\nAnswer: r, -1, 0, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4.4019 (b) 0 (c) -0.1 (d) -1 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 632 is divided by 121?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1175 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*p - 6 - 24*p - 13*p + 53*p.\nAnswer: -7*p - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2. Let a(t) = -147*t**3 - 3*t**2 - t + 2. Let c be a(3). Let k = -2437 - c. Let g(u) = -1560 + k + 25*u**2. Calculate f(g(s)).\nAnswer: 625*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -2\/7, 11, -2, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12290775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/7 and -17\/870.\nAnswer: 6090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z - 2*z - z**2)*((0*z**2 - 4*z**2 + 5*z**2)*(-3 + 5 - 4) - z**2 + 0*z**2 + 0*z**2 - 7*z**2 + 2*z + 5*z**2 - 6*z**2).\nAnswer: 11*z**4 - 2*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) 4\/11 (c) 0 (d) 16\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2174 + 359 = -69*x - 1607 for x.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -4 + 9 + -4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 3*p - 3. Let a(w) = 194 - w - 196 + 3*w. Let l(h) = 4*a(h) - 3*o(h). Let c be l(-3). Solve -3*q + 1 - c = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + -5 + 1*(-6)\/2 - -60. What is the highest common factor of y and 9018?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166 is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wttnnet. Give prob of picking 1 e and 1 t.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 30147 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4\/(-132)*-10401 - 14\/77 and 225.\nAnswer: 1575","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-128)\/800)\/(4\/2)*10\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 76464 and 131157.\nAnswer: 531","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1005967834*a*k**2 + 1219*k**2 + 2133*k - 27 wrt a?\nAnswer: -1005967834*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 434788899?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 AM and 10:37 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oononnoxnnxoo. Give prob of picking 3 n.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6146 and 840.\nAnswer: 368760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 = -20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 140977 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6957, 12304, 17651, 22998, 28345?\nAnswer: 33692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 45 + -48. What is the second smallest value in r, -5\/4, 1?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1113, 934\/5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p + 2*p - 3*p)*(10*p + 4 - 9 + 1).\nAnswer: -10*p**2 + 4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -8, 24, -1856, -2 in descending order.\nAnswer: 24, 0, -2, -8, -1856","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(2) + 1 + 4)*6)**2.\nAnswer: 12960*sqrt(2) + 34992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k**2 + 4\/11*k**3 + 18\/11 + 24\/11*k = 0. What is k?\nAnswer: -1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38632465, 38632461, 38632457?\nAnswer: 38632453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 4*b - 30, 2*b = 3*o + 7 - 1. Let n = 7 - b. Solve 0 = r + 5 - n for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -574 + 16?\nAnswer: -558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 + 5*z**2 + 2*z - 2. Let s be y(-2). Let p be (5 - 2 - 4)*-191. Find the third derivative of -191 + 9*m**s + p + 6*m**2 wrt m.\nAnswer: 1080*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3914\/665*14)\/((-88)\/(-110))?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -55.232248 take away 3?\nAnswer: -58.232248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 202892 is divided by 9611?\nAnswer: 1061","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - n = -4*n. Solve n = w + 6*w - 21 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12394764?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 - 4*d - 9. Let m(t) = -t**2 - 1. Let i(a) = 3*m(a) - z(a). Let p = 55 - 49. Let o(c) = -c - 1. What is p*o(b) + i(b)?\nAnswer: -2*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*r - 2*r - 4*r)*(-6*r**2 - 6*r**2 - 2 + 2*r**2 + 3*r - r**3) to k*r**3 + z*r**2 + u*r**4 + v*r + p and give k.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -99.4 or 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v - 3*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.2565684 years?\nAnswer: 0.002565684","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/4*(-35)\/((-525)\/20).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + y - 17 = -4*g, g = 4*y + 23. Suppose -3*v + 2*c = -23, 2*v + 3*c = -0*c + 11. What is the least common multiple of g and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 + 8. Let r = l + -66.1. Let j = r - -47. Which is the second smallest value? (a) -1 (b) 3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-57 - (34 - 22)) + (1 - -24)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 501684595?\nAnswer: 5, 100336919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 + 26*p**2 + 26*p + 28. Calculate the lowest common multiple of 6 and v(27).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101520587*l**2 + 101520585*l**2 - 203041168*l**2.\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, r: 2, z: 1, o: 3}. What is prob of picking 1 j and 1 z?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -23, 0.5, 5\/31?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*v + 11 - 77 = 0. Solve 2*t - 3*t - a + 5 = 0, a - 9 = -v*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/10 of a kilogram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10\/19, 0, -0.174, -80, -1\/4.\nAnswer: -80, -1\/4, -0.174, 0, 10\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.32 (b) -2 (c) 1\/2 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -22 - 13 - 2*k - k**2 + 34.\nAnswer: -(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**2 + l - l + (3 - 1 + 0)*(l**2 + 2*l**2 - 2*l**2 + (-4 + 2 - 1)*(-l + l + l**2)).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 + 6*a**2 - 5*a - 5. Let u be h(5). Let y be 6*1*1\/3. Suppose 6 = 2*f + y. Sort f, u, -3 in ascending order.\nAnswer: u, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6366*a + 441940 = 551*a for a.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b**2 - 3*b**2 - 2*b**2)*(7 - 9387*b + 9387*b - 92*b**2).\nAnswer: 92*b**4 - 7*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -3 (b) -2\/5 (c) 5 (d) 28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 353442 and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 6564?\nAnswer: 6552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -69, -1, -489, 13, 3 in decreasing order.\nAnswer: 13, 3, 1, -1, -69, -489","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -260 + 2248 = 7*l. Calculate the remainder when l is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*x + 7, 1 = f - 3*x. Calculate the remainder when 30 is divided by 64\/f - 4 - 1.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + s = -9, -2*s = 3*h + h - 12 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -536.006111 - 20.\nAnswer: -556.006111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.4 + -0.4. Sort -7, 5, c in decreasing order.\nAnswer: 5, c, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 66*n**2 - 29. Is l(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 30156678?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 370*p - 223*p - 219*p)*(2 + 4*p - 2*p - 1) to a*p + x + u*p**2 and give a.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-4 + (1*sqrt(117)*-1 + (sqrt(117) + 1)*-6)**2) + -2.\nAnswer: -5767 - 252*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 111 = 4*t - 0*x, -4*x = -2*t + 88. Suppose -2*p = -2*s - 22, 6 = 4*p - 2*s - t. Calculate the smallest common multiple of 4 and p.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 111520*q + 892197. Give c(-8).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -3*q + 22. List the prime factors of b(-11).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1610)\/483*((-12)\/10 - 0). What is the nearest to -1\/3 in 2\/15, 1\/2, u, 36?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 176 = 5*c, -57 - 44 = -3*s + 4*c. What is the remainder when s is divided by 1\/(-1) + (2 - -13)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.5 - -0.5. Let t = -229 + 326. Let a = -100 + t. What is the second smallest value in a, -1, x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of d**5\/4 - 69*d**2 - 3. Let y(h) = 2*h**2 - 29. Determine y(k(c)).\nAnswer: 450*c**4 - 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27 - 25. What is the third biggest value in -3\/7, -0.5, r?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, d: 1, r: 1, p: 1, a: 1, l: 2}. Give prob of picking 1 s and 1 d.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -301429 + 301431. Let p = -150\/11 + 2272\/165. What is the nearest to 2 in -3, p, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b - 41 + 43 - 9. Determine t(5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/(-12))\/(6\/(-16)). Let r = -9403 - -9399. Which is the fourth smallest value? (a) 25 (b) l (c) r (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -10, -2 in ascending order.\nAnswer: -10, -2, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -9*12\/(-1134)*-42\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-129 - 67 - 172 - 580)*(-2*f**5 + 0*f**5 + f**5).\nAnswer: 948*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 31958 and 152?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*o + 80 = 23*o. Solve r + 15 = -o*z, -z + 3*r + 12 - 2 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2892 + 2869.03. Let k = 23 + l. Let i = 179 + -179.4. What is the nearest to 1\/4 in k, i, -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93322 is divided by 1458.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 + 0)*(-19*b**4 - b**4 - 2*b**4 + (4*b**3 - 7*b**3 + 4*b**3)*(-2*b - b - b) + b**4 + 0*b**4 - 2*b**4).\nAnswer: -54*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00007195645466 to five dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 + o + 19. What is the units digit of m(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 79*w - 1257. Let y(t) = 16*t - 5. What is o(k) - 5*y(k)?\nAnswer: -k - 1232","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = 2*s, 3*s + 5*j = 3*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/2 of a micrometer in nanometers?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 + 6*l**2 - 12. What is the remainder when 24 is divided by m(5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 0.96471394\nAnswer: 3.85885576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 845*c**3 - 2*c**2 - c + 6. Let n be h(3). Suppose 16*z + n = 11*z. What is z rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8.1 - -1.1. Let x = 10 + u. Let l = x - 3.4. Round l to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 153167?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2444, -2323, -2202, -2081, -1960, -1839?\nAnswer: -1718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 144 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2081 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -106*g**2*p + 2*g**2 + 3*g*p - 2*g - 3*p - 20559 wrt p.\nAnswer: -106*g**2 + 3*g - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 4:28 PM?\nAnswer: 12:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2 - 2*q**2 - 5*q - 3*q**2 + 1 - q**3. Let d be l(-5). Let b be 1 + (-2)\/1 + 0. Which is smaller: d or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (312\/(-130))\/(3\/(-10)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -2 (c) -130\/9 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -320 - -323. Let n(x) = 3 + 3*x + 0*x - x. Determine n(c).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -55265*w**4 - 595*w**2 - 28*w - 4?\nAnswer: -1326360*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/40)\/((-36)\/30).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 7*b = 12*b + 25, k - 13 = 2*b. Let u(v) = 0*v**3 - 4 + 5*v**3 + 3 + v**2. Calculate u(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1303, 1600, 1895, 2188, 2479?\nAnswer: 2768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -4. Let f = -3 + a. Let z be (8\/(-10))\/(f\/10). Let y(j) = 2*j - 5. Give y(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52 = -t + w - 48, 3*t = w + 10 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3*(-3)\/9)\/(2\/6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*i = 86*i + 162 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n + 12 = -4*n. Suppose -3*d + 122 = -4*l - n, -2*d + 165 = -5*l. Let q = l + 67. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1caabb25 + 3?\nAnswer: -1caabb22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3008*s + 6009*s + 1017 + 111*s**4 - 3001*s + 7*s**2 wrt s?\nAnswer: 444*s**3 + 14*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 459?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130321*p**3 - 257754*p**2 + 5760*p - 32 = 0.\nAnswer: -2, 4\/361","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3474?\nAnswer: 2, 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 b when three letters picked without replacement from {b: 2, z: 3, l: 1, v: 3, o: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -419057.059 - 0.2.\nAnswer: -419057.259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -17407 in 0.4, -4, 2, -36?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-14))\/(4\/8)*1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 3*l = -2 - 7, -l + 24 = -4*m. Let p be -4724 + -2 + ((-35)\/m)\/(-5). Is p\/(-4) + 9\/(-12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/192 and 69\/28?\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-33649)\/(-231) - (-7)\/3.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-596)\/(-12) + (-1)\/(-3))*(-3538)\/(-4).\nAnswer: 5, 29, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 6:54 PM?\nAnswer: 11:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -165 - -164. What is the biggest value in -3, -210, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -858*o**2 + 2*o + 117*o**2 + o**3 - 5*o**3.\nAnswer: -4*o**3 - 741*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 39 + -32. Let o(d) = -d**2 + 6*d**3 + 3*d - i*d**3 + 4 - 3*d. Calculate o(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 20, 42\/185 in decreasing order.\nAnswer: 20, 42\/185, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8390500127 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/1200 and -173\/1320.\nAnswer: 13200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -75, -98, -123, -150, -179?\n\"Answer: -v**2 - 20*v - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/1*1 - (-2 - -5). Let y be (5\/(-20))\/(w\/8). Let l be -8 + 5 - (-7 + 0). Solve 0 = y*f - 2*a - l, 6 + 1 = f - 2*a for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*w - 2*m + 4 = 3*w, 5*m + 36 = -4*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 762 + -762. Let g(p) = -p**3 + p + 12. Determine g(z).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 3*z + 6*z + 11 = 0, 28 = -4*t + 4*z. Let h = -998 + 995. Let m = 92 + -93. Which is the nearest to 1\/3? (a) h (b) m (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16 and 560?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001305452 rounded to six decimal places?\nAnswer: 0.000131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-1\/3))**25*q**(4\/9)\/q*q**(-8)*q assuming q is positive.\nAnswer: q**(82\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 5862, 5026, 4190, 3354, 2518, 1682?\n\"Answer: -836*c + 6698","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of -b**4\/36 + 2*b**3\/9 - 2*b**2\/3 + 5*b. Solve i(m) = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 8*v + 5. Suppose -7*m + 36 = -m. Let k(i) = -2 + 11*i + 6 - 17*i + 8*i + 5*i. Determine m*u(l) - 7*k(l).\nAnswer: -l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 250698587 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 4*z**5 + 650*z**4 - 99082*z**3 - 4438922*z**2 + 6830550*z - 2293200 = 0.\nAnswer: -245, -39, 1\/2, 1, 120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8 and -2.11.\nAnswer: 16.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11 and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 2:21 PM?\nAnswer: 4:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 15, 182 in decreasing order.\nAnswer: 182, 15, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 115\/13 + (12\/(-26))\/(-3). Let b be 9\/6 + u\/(-2). Is b less than or equal to -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of -6*((-7)\/(-21) - 20\/6) and (-16)\/(-10)*(-30)\/(-4)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**2\/9 - 88325416*x\/9 + 487586194473316\/9.\nAnswer: 4*(x - 11040677)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 133374?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of o**8\/2856 + 2*o**7\/1785 - o**6\/204 - o**5\/85 + o**2 + 206. Find q such that t(q) = 0.\nAnswer: -3, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (((-1)\/4)\/((-3)\/42))\/(8\/117232)?\nAnswer: 7, 17, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {k: 1, p: 14}?\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 91 + -44. What is the remainder when y is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 52, 89, 140, 205, 284?\n\"Answer: 7*i**2 + 16*i + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 325885 to the power of 1\/2, to the nearest integer?\nAnswer: 571","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-18))\/((22\/12)\/11)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 PM and 3:03 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -52328, -52339, -52366, -52415, -52492?\n\"Answer: -y**3 - 2*y**2 + 2*y - 52327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r**3 - 2*r + 2*r + 10*r**2 + 247 + 113.\nAnswer: r**3 + 10*r**2 + 360","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/2)\/((-16)\/(-192)) - 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -266 - 231. Suppose 5*a - 4*d + 697 + 473 = 0, a + 243 = -d. Let l = a - v. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0046972 to four dps.\nAnswer: 0.0047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-16)\/312*(-3 - 0). Put 0.2, n, 1\/4 in ascending order.\nAnswer: n, 0.2, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -46*v**3 - 7*v**2 + 5*v - 7. Let o(n) = 23*n**3 + 3*n**2 - 3*n + 3. Let a(s) = -7*o(s) - 3*w(s). What is the second derivative of a(z) wrt z?\nAnswer: -138*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16952 - 6*d - 8408 + d - 8447 to the form k + a*d and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from nnxynvynx?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 269.7 - 49.7. Let p = v + -220.000928. What is p rounded to 4 dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21.9 + -22. Let k = 0.678 - 3.678. What is the biggest value in 3, 4, k, z?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.5 (b) 38 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 9) to base 2.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 11 + 1161\/45 - 10\/(-50). Solve 0 = -d*o - 95 + 354 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*k + 37*n - 30*n + 48, -4*n = 5*k - 9 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, 9, 25?\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/1476 and 29\/304425.\nAnswer: 1217700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 - 6*t + 4. Let x be h(6). Let v be x\/20 + 27\/15. Let w(z) = z + 2*z - 6*z + v*z. Let k(r) = r. Determine k(w(m)).\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7640.243 millennia to months.\nAnswer: 91682916","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l - 11. Suppose -2*t + h - 28 = 0, 26 = -0*t - 2*t + 2*h. Let d be g(t). Solve -d*r + 3 = -1 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-14)\/8)\/(1\/(-24)). Does 30 divide y\/8*(-9 + 21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -39889\/209 or -191?\nAnswer: -39889\/209","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3250)\/(-100)*234\/195*(-15)\/9.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 53301\/94 - 567. Let y be ((-6)\/27)\/(-21*(-12)\/324). Which is bigger: p or y?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 1 + 3*f - 3*f + 0*f**2 - f**2 + f. Let r(s) = -s**3 + 4*s**2 - 5*s - 8. Let o be 6\/216*4 + 9\/((-162)\/(-88)). Give o*k(j) + r(j).\nAnswer: -j**3 - j**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 119 or -70\/2931?\nAnswer: 119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 15*h + 7*h + 111*h**2 - 112*h**2 - 39. Let r be i(19). What is the highest common factor of 72 and r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57684 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 196 = -13*y - 12*y for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 70 + 26. Suppose 0 = -2*w - 29 + 77. Calculate the highest common divisor of q and w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 452 - 128. Let j = -289 + w. Calculate the remainder when 34*(1\/(-1) - -3) is divided by j.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence me when two letters picked without replacement from eemem?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 21160700 * -4\nAnswer: -84642800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7.143 + 12.8. Let o = -4.77 - 0.93. Let k = g + o. Round k to 2 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31a28 (base 13) to base 16\nAnswer: -15e04","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1177222.2 days in weeks?\nAnswer: 168174.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*h + 12*h + 19*h + 18*h.\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1029468.\nAnswer: 2, 3, 11, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u + 20. Let l(i) = 19*i. Calculate k(l(x)).\nAnswer: 19*x + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 + 7*r**2 + 2. Let j be y(-7). Solve 5*f + 5 = -j*h, 0*h - 2*h - 4*f = 2 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004 + -6.32006893?\nAnswer: -6.32406893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1669 - -2.\nAnswer: 2.1669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - -5)\/(3 - 14\/8). Which is the closest to 1\/3? (a) 2\/37 (b) 3\/7 (c) g (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 358 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-14) - (-33)\/231?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 2 = 2, 44 = 856*u - 860*u + p for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.03 + -0.02. Let r = 0.15 - t. Let q = 4510 - 4537. What is the smallest value in r, -1\/3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5002)\/(-1353) - (-8)\/(-22))\/((-6)\/9).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -223021 - -112?\nAnswer: -222303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 274, 5, -3, -4, -1828, 1, 3 in descending order.\nAnswer: 274, 5, 3, 1, -3, -4, -1828","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-9) - 38\/(-9). Is f at least as big as 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3572 - -3587. What is the remainder when 26 is divided by c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1668 a factor of 4635372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -2 (b) -16\/13 (c) -1.49\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -96 divided by 4343.\nAnswer: -96\/4343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 30230 by -2.\nAnswer: -15115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(240)\/(sqrt(48)\/sqrt(4)))\/sqrt(4).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 49429 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 3. Suppose h = 3*a + 4*h - 9, 2*a = 5*h + 13. Suppose -a*y + 3*c + 25 = 0, -16 + 7 = -3*y - c. Solve -p - 6 = 2*m, y*m = -0*p + 2*p - n for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6 and -28.447.\nAnswer: -170.682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -38*9\/((-36)\/32). Suppose -c = -3*c, c + t = 4*b. Suppose -r + b = -j, -2*r + 3*j + 164 = 5*j. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.64 + 0.36. Which is the fourth smallest value? (a) 4\/7 (b) -0.2 (c) p (d) 6\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/2*(108\/(-33))\/(585718\/20009)?\nAnswer: -9\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of 13*h + 0*h**3 - 1\/10*h**5 - 2\/15*h**6 + 0 + 0*h**2 + 0*h**4 - 1\/21*h**7. Factor m(k).\nAnswer: -2*k**3*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 5*j**4 - 35*j**3 + 53*j**2 - 27*j + 2. Let d(o) = o**2 + o - 1. Let c(w) = -2*d(w) - y(w). Factor c(g).\nAnswer: -5*g*(g - 5)*(g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 1747*p - 101 = 1748*p, -p = 5*u + 245. Let a = -455 - -822. Let c = 5507\/15 - a. What is the second smallest value in 5, u, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 860588 to the power of 1\/2, to the nearest integer?\nAnswer: 928","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1886 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of 9*k**2 + 8. Let i(z) = 2*z. What is n(i(l))?\nAnswer: 36*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8140 is divided by 33?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205 is divided by 66.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p + p = 60. Suppose -253 = p*z - 913. List the prime factors of z.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-20))**(-11\/5)*x*x*x\/((x*x*x\/x**(-1\/11))\/x)*x*x\/(x\/(((x**25*x)\/x)\/x))*x)**(13\/4) assuming x is positive.\nAnswer: x**(2535\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 3*s**2 + 10*s + 7. Let t be p(-7). Suppose 266 + t = 5*i - 5*x, 0 = 5*i + 4*x - 314. Calculate the greatest common factor of i and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -3*p**2 - 23*p + 8. Let o be h(-7). Let v(u) = -8*u - 4*u + o*u + 11*u. Let n(y) = -3*y**2. Determine n(v(q)).\nAnswer: -1323*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 2*v = -v + 27, 0 = -5*a + 118*v + 290*v - 6943 + 2440 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 + 15*f**2 - 15*f + 72. Let w be t(-16). Suppose w*p = 32*p + 68856. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -3*i**4 + 99*i**3 - 1134*i**2 + 5280*i - 8064 = 0.\nAnswer: 3, 8, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396) - (sqrt(396) - (sqrt(396) + 1)**2) - sqrt(396) - sqrt(396)) + 3 + 4.\nAnswer: 404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113 is divided by 20.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 50 - 52 - (-1 - -1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 8066.193 hours?\nAnswer: 336.091375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 173 bigger than 172?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-five quarters of a hour?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14*o**2*q*r - 2*o**2*r**2 - 161*o*r**2 - 15*q*r**2 + 3*q wrt q.\nAnswer: -14*o**2*r - 15*r**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -5732 at least -5734?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86330.\nAnswer: 2, 5, 89, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 26270 rounded to the nearest 1000?\nAnswer: 26000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pqqp when four letters picked without replacement from {q: 9, p: 2}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 - 4*b**2 - 5*b - 6. Let r be w(-5). What is the greatest common divisor of 11 and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.25 in -0.09, 2\/5, -2\/55?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-8)\/(-32))\/(19\/152). Solve -19 + 27 = -g*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -209*s + 6 = -3547 for s.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m**3 - 3*m**2 - 4*m + 8. Let w(d) = d**3 + 1. Let r(t) = g(t) - w(t). Let f be r(3). Which is the smallest value? (a) -4 (b) f (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, v: 1, t: 3, s: 1, b: 1, p: 4}. Give prob of picking 2 p and 1 s.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -36\/7 - -142\/63. Let h = t + 148\/45. Let g = 0.13 - -0.17. Which is the closest to 0.1? (a) g (b) h (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132 = d + 3*d. Let s(w) = w**2 - 43*w + 129. Let z be s(41). Let x = z - d. Is x a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 2)*(-2*g**2 - 2*g**2 - 3 + g**2).\nAnswer: 3*g**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 88 + 104 = 0. Let g(d) = -14*d**2 - 14*d + 100. Let j be g(5). Let a = j + 330. What is the lowest common multiple of y and a?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/15)\/(398\/16915)*-2\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 3*o + 3, n - 56 = -2*n + 4*o. Suppose -120 = -h - 4*h. Calculate the highest common factor of h and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -14*t - 29. Suppose 0 = 5*l + 32 + 33. Let b be k(l). Suppose -2*y + 5*y - b = 0. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 448914 and 1122.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1c + -315399?\nAnswer: -31537b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do 16\/443 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 972.8318 rounded to the nearest ten?\nAnswer: 970","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - 3988c?\nAnswer: -39890","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rk when two letters picked without replacement from {m: 2, j: 5, k: 8, r: 4}?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -164 + 169. Solve -3*r - 3*o + 9 = 0, 4*r + g*o - 3 - 9 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 - 1. Let k(n) = -n**3 - 2*n**2 + 5*n + 13. Let r(y) = k(y) + 6*l(y). Let c = -45 + 50. Give r(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -60, -143, -220, -285, -332, -355, -348, -305?\n\"Answer: q**3 - 3*q**2 - 81*q + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -7*n + 10. Let r(s) = 6*s - 9. Let q(o) = 5*b(o) + 6*r(o). Let f be q(4). Solve 2*c + f - 2 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7\/15 + 13\/60. Let o = 29 + -259\/9. What is the nearest to 1 in -0.3, n, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/15)\/j)**(-7\/6)*j\/(j*j**(-1\/18))*j*j*j**(-7\/2) assuming j is positive.\nAnswer: j**(-13\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/(-1) - 3) + 54. Let v = t + -52. What is the highest common divisor of v and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -2*c**3\/25 - 56*c**2\/25 - 54*c\/25 = 0?\nAnswer: -27, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 7*o**5 - 9*o**4 - 9*o**3 - 7*o**2 - 2*o - 4. Let c = -398 - -402. Let t(h) = 2*h**5 - h**4 - 1. Let i(n) = c*t(n) - j(n). Factor i(r).\nAnswer: r*(r + 1)**3*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -326 divided by -466.\nAnswer: 163\/233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 113225703?\nAnswer: 3, 1597, 23633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -449 + 732. Suppose 10 = -7*s + v. Let g = s - 30. Solve 3*y = 2*b - b + g, 3*y - 4*b = 9 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*m**3 + 19*m**3 + 13*m**3 + 20*m**3.\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11799 - 11800. Sort -0.188, w, 4, -0.5 in ascending order.\nAnswer: w, -0.5, -0.188, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/108700 and -19\/32.\nAnswer: 869600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 5*c**4 + 3*c**2 - c. Let u(f) = 56*f**4 + 32*f**2 - 12*f. Let l(o) = -32*n(o) + 3*u(o). What is the second derivative of l(x) wrt x?\nAnswer: 96*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78776 (base 10) in base 2?\nAnswer: 10011001110111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**34*k\/k**(-1))\/(k\/((k*k**12*k*k)\/k))**(4\/35) assuming k is positive.\nAnswer: k**(1312\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28995302?\nAnswer: 2, 7, 17, 29, 4201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*m + 36 = -41*m. What is the tens digit of (-2 + 57)*m\/(-30)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*u - 8 = -15*u. Suppose 0*c - 4 = c, -u*n - 5*c = 12. Solve -3*i + 5 - 2 = 3*w, w = n*i + 4 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60530 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10070 - -10069.5. Which is the smallest value? (a) o (b) -2\/3 (c) 4\/5 (d) -6 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 + 0)*17\/34. Solve z = -2*u - 4*a - 12 - 14, 5*u - 10 = 5*a for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -15 and -11.5.\nAnswer: 172.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 0.18, 0.2, -10, -0.3 in ascending order.\nAnswer: -10, -0.3, 0, 0.18, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is o in o**4 - 67*o**3 - 3766*o**2 + 20152*o - 16320 = 0?\nAnswer: -40, 1, 4, 102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 10*q**3 + 26*q**2 - 15*q - 4. Let u(c) = 5*c**3 + 10*c**2 - 7*c - 2. Let v(j) = 2*s(j) - 5*u(j). Determine v(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 1576*j**2 - 846*j**3 + 121*j**3 - 207*j**3 - 119*j**3.\nAnswer: -1051*j**3 - 1576*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-1)\/(-3))\/(5\/(-51)) and -2 + (-1)\/11 - 0.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*o**2*s + 174*o**2*y**2 + 6*o**2 - 9*o*y**2 - 43*o*y - 3*o + 209*s*y**2 + 1138*s*y - y**2 wrt s?\nAnswer: 3*o**2 + 209*y**2 + 1138*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + l = 960. Let z = -248 - l. What is the remainder when 24 is divided by 2\/5 + (1 - z\/(-20))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y**2 - 5*y**2 - 2*y**2 - 5*y**2.\nAnswer: -10*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 52 + -376?\nAnswer: -324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*h - j = 85*h + 13916, -3*h + 13921 = -2*j. Calculate the remainder when h is divided by 145.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1))**(-44)*m**(-1\/2)\/m**(-1\/3))**(-44) assuming m is positive.\nAnswer: m**(-5786\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-29 + 22 + 151)*(t**4 + 2*t**3 - 2*t**3) as r*t**2 + k + c*t**3 + a*t**4 + n*t and give a.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/(-15))\/(17*46\/5865). Sort -3, z, 766.\nAnswer: -3, z, 766","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.54146022 to two decimal places.\nAnswer: -0.54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/480*3*16.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1649 + 96.7351. Let k = 92 - w. Let v = -4.899926 - k. What is v rounded to 5 decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*r**5 + 14090*r**4 - 21935*r**3 - 48340*r**2 + 88300*r - 32080 = 0. Calculate r.\nAnswer: -2, 4\/7, 1, 2, 401","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tin when three letters picked without replacement from ieleiltnlltn?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 9 = 2*b, 11 = b - l + 18. Let q(z) = 12*z + 3. Let j(h) = 4*h + 1. Calculate b*q(f) + 17*j(f).\nAnswer: -4*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 312740243 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 467451 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10.96 + 11. Let z be 3 + (-5)\/20*-8*2. Which is bigger: m or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39, 20, 79?\nAnswer: 138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 174*j**3 + 6*j**2 + 54*j - 282. What is the ten thousands digit of a(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.2694 - 1090.3294. Let h = z - -1101. Let c = h - 14. Is 0 smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 453880 and 3220.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*q**5 + 6*q**3 - 6*q**3 + (q**2 - 3*q**2 + 0*q**2)*(-q**3 + 5*q**3 + 0*q**3).\nAnswer: -12*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -8*y**3 - 6*y**2 + 4*y - 4. Calculate the least common multiple of 60 and c(-4).\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**4\/13 + 6*i**2\/13 - 4*i\/13.\nAnswer: -2*i*(i - 1)**2*(i + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17 + 20. Let l(p) = 3*p**2 + 13*p - 3. Let c(r) = -r**3 + r**2 + r - 1. Let x(b) = h*c(b) - l(b). What is the second derivative of x(t) wrt t?\nAnswer: -18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5*f + 3*f + f)*(-83 + 48 - 5)*(0 + 0 - 3).\nAnswer: -120*f + 240","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence giiy when four letters picked without replacement from {i: 7, g: 9, y: 2}?\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.12 * -0.1\nAnswer: 0.012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8289 + 8286.15. Which is greater: t or -11?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13110 - -13110. Let l be 12\/(-3165)*(-10)\/12. Which is smaller: l or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -3*n**4\/2 + 99*n**3\/2 - 519*n**2\/2 + 909*n\/2 - 243 = 0.\nAnswer: 1, 2, 3, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 0.1. Let f = -263 - -235.9. Let a = 25.1 + f. Put i, a, 13 in ascending order.\nAnswer: a, i, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a - 2*a + 2*a + (a + a - 3*a)*(1 + 3 - 2) + a - 5*a + 2*a + 2223*a + 983*a + 7720*a + 6690*a - 3052*a.\nAnswer: 14558*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 + 13 - (0 + -2)) + -2422 + 2499.\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p**2 + 5 - 3 - p**2)*((18*p - 80*p - 27*p)*(2 - 3 + 0) + 4*p + p - 4*p).\nAnswer: -450*p**3 + 180*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -8. Let o be (-1)\/u*(9 + -9). Let f = -3 - -5. Solve o*q + 20 = 5*q, -4*q = f*z - 10 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 0*p = -k - 3, 5*p - 27 = -k. Suppose k*f + 13*f - 60 = 0. Solve 4*r + f*b - 15 = 3*r, -5*r + 2*b = -9 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2595?\nAnswer: 3, 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-192)\/80)\/(59\/30 - 2). Suppose -4*k = -188 - c. List the prime factors of k.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 19 (b) 122407 (c) 5 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i**4\/2 + 840*i**3 + 7641*i**2 + 23004*i + 46089\/2 = 0. Calculate i.\nAnswer: -3, 569","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 - 22*o - 92. Let r be x(-16). What is the derivative of -5*y + 38*y**2 - 26 + r*y + 120 + 2*y wrt y?\nAnswer: 76*y + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 y when two letters picked without replacement from ytwwtwwwy?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 11537 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -839480 to the nearest 10000.\nAnswer: -840000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 - 13*k**2 - 17*k + 46. Let c be z(14). Solve -7 = -3*g + 4*g + 2*m, -25 = c*g + 5*m for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 3*l**2. What is c(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - (9 - 2) - -6) + (2 - 2) + 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -74 + (-33 - -174) + (1 - 0) + (1 - 17).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 10927000 to the nearest one hundred thousand.\nAnswer: 10900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-1\/2)\/(g\/g**(2\/7)*g))\/(g**1*g)**(1\/33))**(6\/13))**(-41) assuming g is positive.\nAnswer: g**(43091\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 AM and 6:58 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-57)\/(-6))\/1*-2*(-1)\/1?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24920 and 1288720?\nAnswer: 9021040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (250 + 503*a - 123 - 125 - 120*a)*(1 + 3 - 5)*(-3*a + 3*a + 2*a).\nAnswer: -766*a**2 - 4*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3519663?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llkllllklllk. What is prob of picking 1 l and 2 k?\nAnswer: 27\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7641*b - 1041*b - 627000 for b.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 3*z**2. Let k(q) = 1. Let l(u) = -4*u**2 + 1. Let o(r) = -k(r) + l(r). Determine o(g(t)).\nAnswer: -36*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 408014 to the nearest integer?\nAnswer: 639","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -354*a + 329*a = 250 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 50 and 8620?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 292108?\nAnswer: 2, 103, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (18\/3)\/((-6)\/(-8)). Let h be ((-82)\/r)\/((-3)\/12). Let m = 89 + h. Is 13 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -984224 take away 1168?\nAnswer: -985392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**2\/4 + 477*i\/4 + 1558029.\nAnswer: -3*(i - 1523)*(i + 1364)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 + 5*v**2 + 2*v + 1. Let i be r(-5). Let u be (-21)\/i + (-4)\/(-6). Let x = u + -2. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-18 + (5 - 3 - (-7 - -3))).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of r**2 + 1131*r + 1132*r - 116*r**3 + 213*r - 541*r + 10*r**4 wrt r.\nAnswer: 240*r - 696","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t**(-8)*t*t)\/t)\/(t\/(t\/t**(3\/11))))\/((t\/t**(2\/3))\/t*t**(-7)))\/((t**(-2\/3))**(1\/5))**42 assuming t is positive.\nAnswer: t**(989\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114) - (sqrt(114) + 2*sqrt(114)))*4)\/sqrt(6).\nAnswer: -8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -113 + 110. Let h(a) = -34*a**2 + 38*a + 3. Let b(k) = k**2 + k + 1. Let p(r) = l*b(r) + h(r). What is the second derivative of p(q) wrt q?\nAnswer: -74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2*x + 16. What are the prime factors of f(-12)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 15 = q - 5*f, -5*q = -4*f - 12. Solve w + 6*a + 8 = a, -w - a = q for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31306 (base 7) to base 10\nAnswer: -7699","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xjjjgxjgjjxnn. Give prob of picking 1 j and 2 x.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 34 + -32. Suppose k*r - 87 = -r. Calculate the remainder when 57 is divided by r.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1127010.402us to weeks.\nAnswer: 0.000001863443125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 26871343 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6098008 and 16116164?\nAnswer: 225626296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 316 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of -d**5\/4 - d**4\/24 + 3*d**3 + 29*d**2. Differentiate c(r) with respect to r.\nAnswer: -30*r - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 2141\/1154?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20210020221000 + -22?\nAnswer: 20210020220201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 - 8*z**2 + z - 9. Let f be w(-8). Let v = -13 - f. Let q be 39\/(-14) - v\/(-14). What is the nearest to 0 in 3\/2, q, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(3) + 1 + 5)**2*2*-3.\nAnswer: -231 - 72*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19526 > 4691?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.348 and -0.1.\nAnswer: 0.0348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of k**6\/120 - k**5\/60 + k**4\/3 + 1735*k**3\/6 + 40*k**2 + 3*k. Is b(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((8\/4)\/(-2))\/7. Let x = 574 + -577. Sort x, -3\/7, g in ascending order.\nAnswer: x, -3\/7, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 742205 and 35015165?\nAnswer: 9395","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, -1\/7, -5, 94?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**4 - 4049*d**3 + 1980044*d**2 - 3*d. Let f(g) = -4026*g**3 + 1980046*g**2 - 2*g. Let k(a) = -3*f(a) + 2*h(a). Suppose k(y) = 0. What is y?\nAnswer: 0, 995","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((1*2*sqrt(130))\/sqrt(10) + 5) + (2*sqrt(104)*3 + sqrt(104))\/(sqrt(56)\/(sqrt(252) - sqrt(7))))**2.\nAnswer: 1720*sqrt(13) + 24437","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -110 - 8*o**3 + 108 - 44 + 46.\nAnswer: -8*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76 = 16*m - 54*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -v - m, 8*v - 4*v + m - 10 = 0. Let k = -5.4 + 5. Which is the third biggest value? (a) k (b) -1\/6 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*13\/806*2?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 PM and 9:54 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*n = 21*n + 5*s - 25, 4*s = -4*n + 48 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1607703086885+25\nAnswer: -1607703086860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-1 + -6*((sqrt(119) - (sqrt(119)*3 + sqrt(119) - sqrt(119))) + sqrt(119))\/sqrt(7) - (-4 + 3 + sqrt(68) + 1))**2.\nAnswer: -8*sqrt(17) + 278","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00023108 to 5 dps.\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 255 + 473 = -3*o, -2*o - 147 = -r. What are the prime factors of r?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 0*r = r - 4, 0 = l + 3*r - 8. Let a(v) = 65*v + 10. Let n be a(l). What is the highest common factor of n and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + g**2 + 2 + 2 + 2*g**2 - 2 + (g - 2*g + 0*g)*(5*g - 2*g - 5*g) - 4*g**2 + 3*g**2 + 3*g**2 + (-1 - 2 + 4)*(0*g + 0*g + 2*g**2)*(-22 + 3 - 11).\nAnswer: -53*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 1)\/((-10)\/(-140)*21).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4 - 4)*(0*i + i + i).\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 2*i. Let g(r) = -r + 7. Let z be g(5). Solve -z*y = -i + 4 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2925517 is divided by 474.\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1026 is divided by 334?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-7)\/((-14)\/(-68)) - 3. Let r = 37 + z. Let a(d) = d**2 - 4. What is a(r)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in 0.2, -0.3, -24\/5, 2\/13?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 + 2247362933078.\nAnswer: 2247362933076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 j when two letters picked without replacement from {j: 3, x: 2, t: 5, q: 6, g: 2}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150*m - 2428 - 722 = 0 for m.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.6205938 to one dp.\nAnswer: -11.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -t**4 + 742*t**3 - 10213*t**2 + 15252*t + 26208 = 0.\nAnswer: -1, 3, 12, 728","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*x**2 - 6*x + 9 - 9 as c*x**2 + k + r*x and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, g: 1, u: 2, i: 1}. What is prob of picking 1 u and 1 g?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 201*g - 96 = 249*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**9\/((s**(2\/29)*s)\/s))\/(s**(-9)\/(s*s**(-2\/15)*s)) assuming s is positive.\nAnswer: s**(8612\/435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -46, -43, -40, -37?\n\"Answer: 3*y - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/((-100)\/1950*15)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*b**3 + 50099280*b**2 - 50099283*b + 12524821 = 0. Calculate b.\nAnswer: -12524821, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 80 - 67. Let t = 28 - j. What is the greatest common factor of 165 and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.8 + 6.8. Let r = 209\/224 + -39\/32. Put r, -2, 0.1, k in increasing order.\nAnswer: -2, r, 0.1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 AM and 10:04 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 17*g - 13. Let w be i(1). Suppose -4*p = 5*h + 17, -h = 2*p + 11 - w. Which is the nearest to 9? (a) p (b) -2 (c) 1\/3 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 8165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1682032 bigger than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -22.92808, 6 in descending order.\nAnswer: 6, -2, -22.92808","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of -g**7\/30 - g**5\/20 + 5*g**2\/2 + 6. Let h(z) be the second derivative of m(z). What is the third derivative of h(o) wrt o?\nAnswer: -168*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-4 + (sqrt(190)*-3)\/sqrt(10))**2 + 2.\nAnswer: -1120 - 144*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -360*c**2. Let f(n) = 57*n. Give z(f(r)).\nAnswer: -1169640*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 - 33*l - 169. Let c be j(37). What is the third biggest value in c, 0.01, -0.5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3569, -3569, -3571, -3575, -3581?\nAnswer: -3589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000027799 rounded to 5 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -844 + 850. Let j(y) = 6*y**3 + 15*y**2 + 7*y + 11. Let u(c) = -3*c**3 - 8*c**2 - 4*c - 6. What is r*j(f) + 11*u(f)?\nAnswer: 3*f**3 + 2*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a**3 - 2 + 3 + 4*a**3 + (-a - 2*a - a)*((24*a - 18*a - 22*a)*(-6*a - 3*a - 6*a) - 2 - 2*a**2 + 2).\nAnswer: -950*a**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 4 - 4 + 18429*c - 18428*c. Let d(l) = -21*l - 5. Let q(b) = 62*b + 16. Let y(p) = 16*d(p) + 5*q(p). Give f(y(o)).\nAnswer: -26*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40284?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -k**5\/4 + 663*k**4\/2 - 110223*k**3 + 219122*k**2 = 0.\nAnswer: 0, 2, 662","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-3)*(-12)\/8\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7 * -817.\nAnswer: -5719","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 3 = 4. Let j be (r\/(-9))\/((-6)\/9). Let h = 0 - -0.1. Which is the nearest to -1? (a) j (b) -5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-580)\/(-8))\/(-5)*(-13 + -1). Calculate the highest common factor of 29 and s.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 2.1. Let q = 1 + 0. Let l be ((-2)\/8)\/(q\/6). Which is smaller: l or d?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3026 + 18247\/6. Suppose 7*o - 4*h + 86 = 2*o, -2*h - 2 = 0. Find the common denominator of u and (-24)\/o - 869\/(-330).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 16*t - 46. Let f be o(3). What is the third derivative of -18*r**2 - 21*r**4 + 4*r**f - 32*r**4 wrt r?\nAnswer: -1272*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83*k**2 - 58 + 298 - 2*k**3 - 43*k**2 - 40*k**2.\nAnswer: -2*k**3 + 240","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(171) + -3 + (sqrt(171) + 1)**2)*2 - (-5*(sqrt(171) + -1 + sqrt(171) + sqrt(171)) + 2)**2).\nAnswer: -190930 + 3240*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**2\/4 + 918081*y\/4 + 11933025.\nAnswer: 3*(y + 52)*(y + 305975)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**4\/q**0)\/((q*q\/(q*q\/q**(-6))*q*q)\/((q\/q**0*q)\/q)))\/((q**(1\/4))**19)**(-3\/44) assuming q is positive.\nAnswer: q**(1641\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 4*y + 16 = -13, -4*y = -5*n + 21. Let m(x) = 6*x - 6 - n*x**2 + 9*x - 14*x + 2*x**2. Let w(s) = 1. Give -m(z) - 6*w(z).\nAnswer: 3*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 4*d**2 - d - 1. Let r be z(1). Let a(m) = -r - 13*m + 12*m + 0. Give a(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/((-15)\/2)*-10. Suppose 0 = -3*m + 15, 5*r = -0*r + 5*m + 25. Suppose 0 = -5*p - 2*f + 6, 4*f + r = 3*p - 2*p. Solve s*w = p*w - 4 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, n: 2, w: 1, j: 2, l: 2}. Give prob of picking 1 j, 1 w, and 2 n.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6338631, 6338626, 6338617, 6338604?\nAnswer: 6338587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1054600 by 12.\nAnswer: -263650\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - b948c4?\nAnswer: -b948c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((2*(sqrt(600) + 4*(sqrt(600) - 1*sqrt(600))))\/(3*sqrt(1152) + sqrt(1152) + -2*sqrt(288) + sqrt(288)))**2.\nAnswer: -25\/147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + 15. Solve -v + 4 = f, f - 1 = -4*v + g for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 f when two letters picked without replacement from vvnvfnfvvrrvr.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5513 and 222?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000102058409 rounded to 6 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -108, -119, -90, -3, 160, 417, 786?\n\"Answer: 3*b**3 + 2*b**2 - 38*b - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v + 21. Let n be z(-7). Let o = -15 + n. Sort 2, -4, o in decreasing order.\nAnswer: 2, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 96 and 1887?\nAnswer: 60384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 176 and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4535229?\nAnswer: 3, 1511743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 316827 to the power of 1\/2, to the nearest integer?\nAnswer: 563","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1140 - -816. Let x = 323.9997223 + u. What is x rounded to five dps?\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -3*y. Let s(i) = -i**2 - 5*i - 2. Let t be s(-5). Let v be w(t). Calculate the remainder when 4 is divided by (v\/(-8))\/(2\/(-8)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z = -7 + 29. Factor 1\/2 - n**3 + 3\/2*n - 3\/2*n**4 - 1\/2*n**5 + n**z.\nAnswer: -(n - 1)*(n + 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13032*x - 2 + 11*x**2 + 13027*x - 4*x**3 - x**4 + 0*x**3 to r*x**2 + i + c*x + w*x**4 + n*x**3 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 916981\/24 + -38213. Suppose 0 = 5*l + 5*u + 205, -8*u + 5*u = -12. Find the common denominator of 0 + 5\/l + (-646)\/72 and v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r + r**2 - 3*r)*(0 - r + 0) + (-5*r**2 + 5*r**2 + 4*r**2)*(2*r + r + 0 - 1).\nAnswer: 11*r**3 - 4*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 2:32 PM?\nAnswer: 1:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1*-1)\/(5\/(-20)). Let c be 184\/(-10)*(-10)\/r. What is the tens digit of c\/3 - 8\/24?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.03 - -4.97. Let n be 2 + (-7 - -3 - -7). Suppose -2*p = -n*p. Which is the second smallest value? (a) p (b) d (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 9380\/408501 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 326328 is divided by 326268?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9807 = 5*a - t - t, a + 5*t - 1956 = 0. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 10*l**3 - 17*l**2 - 17*l + 11. Let m(g) = 3*g**3 - 6*g**2 - 6*g + 4. Let q(p) = 6*a(p) - 17*m(p). Differentiate q(w) wrt w.\nAnswer: 27*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 4*o**3 - 4*o**2 - 4. Suppose -13 = 2*l - 21. Let m(j) = -j**3 + j**2 + 1. Let p = -46 + 64. What is l*t(v) + p*m(v)?\nAnswer: -2*v**3 + 2*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1429 - -1429.1. What is the nearest to -2\/5 in -2\/3, 1\/6, o, 5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3711523 (base 8) to base 12.\nAnswer: -41286b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -880\/157493 or 1?\nAnswer: -880\/157493","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (280\/(-120))\/(-2 - (-14)\/6).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 305063 is divided by 684.\nAnswer: 683","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 6 - 2*c**2 + (-3 + 5 - 4)*(-c**2 + 6*c**2 - 3*c**2) + 0*c**2 + c**2 + c**2 + c**2 - c**2 + c**2)*(-c - 4 + 4 + (-4 + 5 - 2)*(0*c - 3*c + c)).\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (16\/(-10))\/(36\/90). Let h = 15 - 3. What is the smallest common multiple of 2 - (-36)\/(-1 - j) and h?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**3\/7 - 32324*i**2 + 3199486060*i\/7 + 9600494700\/7.\nAnswer: 4*(i - 28285)**2*(i + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 + 28*m + 31. Let t be u(29). Let q = -2.077 - 0.023. Let d = 2 + q. Which is the closest to -1? (a) t (b) d (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/21? (a) -4\/7 (b) -1\/10 (c) 292 (d) 5 (e) -7.53\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -57021 bigger than 120.62?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, s: 1, o: 1}. What is prob of picking 1 s and 1 o?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - 2*o**2 - 4*o. Calculate s(5).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 173 - 166. Suppose 7*t = -g*t + 294. Calculate the remainder when 40 is divided by t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-10)\/(-30))\/(9\/5508) is divided by 41.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3371 is divided by 57?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 104893019?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does -37899 = -37899?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5423358 less than 5423358?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**3 - v - 2 + v)*(v - 6 + 6)*(-14 + 17 - 18).\nAnswer: -30*v**4 + 30*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 127775049 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -33 or -35?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2322 minus 0.4?\nAnswer: -2322.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -3. Let m(f) be the first derivative of 10 + 1\/2*f**2 - 10*f. Suppose 30*l - 226 + 16 = 0. Calculate l*u(r) - 2*m(r).\nAnswer: -2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2 - -1.8. Suppose -13*f - 120 = 11*f. What is the closest to h in f, 4, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -667.56 - -685. Let b = v + -18. Let p = 0.5658 + b. What is p rounded to three dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7354904?\nAnswer: 2, 277, 3319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 216\/7*d - 162\/7*d**2 + 3*d**3 + 3\/7*d**4 + 0.\nAnswer: 3*d*(d - 3)*(d - 2)*(d + 12)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q and 1 o when four letters picked without replacement from {o: 6, q: 12}?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 255 + -267 + (6 - -2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52137888 is divided by 11174.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 + -22. Let u(f) = f**2 - 5. Let q be u(0). Sort 3\/5, q, m in descending order.\nAnswer: 3\/5, m, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/134 and 31\/2124.\nAnswer: 142308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x - 169 = -13*x, -30*v = -26*v - 5*x + 53 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 101 - 96. Suppose -2*j - 3*k = -193, 167 + 347 = g*j - 3*k. Let u = j - -32. What is the greatest common divisor of 19 and u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/152 and -65\/32.\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 l when three letters picked without replacement from {n: 3, g: 1, c: 7, l: 2, j: 5, y: 2}?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3441 + 6756. Calculate the highest common divisor of 1547 and q.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*k + 49*k - 156 = 0. Let h be (-178)\/k + (-1)\/(104\/(-16)). Solve -3*q - 5 = h for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1024136, -1024142, -1024148?\n\"Answer: -6*u - 1024130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 5+-30.122\nAnswer: -25.122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3001342 (base 6) to base 8.\nAnswer: -422036","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Is 1274015647 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1793800 less than or equal to 38?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**4 + s**4 - 7*s**4)*(8 - 55 - 40).\nAnswer: 435*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 4*y = 324, -6*w = -w - y - 401. Calculate the greatest common divisor of 16 and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 3*m**2 + 69*m - 638. What is a(7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6131 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -969 + 3033 = 48*y. Calculate the remainder when y is divided by 19.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -9*m**2 + m - 1. Let j be (1\/1)\/((-3)\/(-723)). Let c = j + -238. Let s(w) = -8*w**2 - 1. Calculate c*s(p) - 2*k(p).\nAnswer: -6*p**2 - 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13729 + -13731. Let h = -0.9 - -1. Which is the nearest to h? (a) 0.4 (b) y (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*l**2 - 263392*l + 263392*l.\nAnswer: 26*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = 2*b - 17 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 233652 is divided by 817?\nAnswer: 807","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 + 7*y**2 - 2*y - 5. Give f(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -209, 4\/3 in ascending order.\nAnswer: -209, -10, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 38994.6 to the nearest one thousand.\nAnswer: 39000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 78958*t*y**3*z**3 + 3*t*y**3*z**2 - 3*t*y + 3*t*z**3 + 4*y**2*z + 8*y*z**3 + 25*y*z wrt y?\nAnswer: 473748*t*z**3 + 18*t*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5275*m + 192 = 5263*m for m.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + (-87)\/(-105))\/((-294)\/490).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 1\/7, -0.2, -1714.58, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 - 83*f + 1463. Determine s(38).\nAnswer: -247","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -108*f**2 + f. Let h be n(2). What is h rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12.104 + 0.896. What is the closest to 0.1 in -0.1, v, -1\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of 2163*j**5\/5 + 1588*j - 1844. What is the derivative of a(o) wrt o?\nAnswer: 8652*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6181\/3 - -2038. Calculate the common denominator of y and 6\/995.\nAnswer: 2985","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of -40*p**3 - p**2\/2 - 1664*p - 1033. Differentiate u(c) wrt c.\nAnswer: -240*c - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - 1. Suppose -2*f + g*f + 16 = 0. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -6562048209 and 818?\nAnswer: 6562049027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 6 = 5*g + 54, -4*p - 72 = 4*g. Let r be p\/10*8\/(-12). Which is greater: -6\/23 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.5246 - -0.4309. Round s to 2 dps.\nAnswer: 0.96","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-300)\/(-108) + (-2)\/(-9). Suppose -5*z + 0*j - 76 = j, j = -b*z - 46. Let t(c) = -c - 16. Let u be t(0). Is u <= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 735 is divided by 19.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(1\/9)*(m**9\/m)\/m*m**(-1\/15)*m**(-10) assuming m is positive.\nAnswer: m**(-133\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000415338191 to 7 dps.\nAnswer: 0.0000415","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -585170 + 585152 + 0*u + 2*u + (-2 + 4 - 1)*(-2*u - 2*u + 2*u) + 0*u + 0*u + u.\nAnswer: u - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 - h**2. Let c(i) = -2*i**2 - 6*i + 6. Let s(v) = -v**2 - 2*v + 2. Let n(f) = -c(f) + 3*s(f). Give -2*g(w) - 6*n(w).\nAnswer: -2*w**3 + 8*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 4*(sqrt(91)\/((sqrt(7) + 2*sqrt(7))*-1) - ((sqrt(117)\/sqrt(3))\/sqrt(3) + sqrt(13) + -3))**2*3.\nAnswer: -168*sqrt(13) + 2863\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2*m**2. Let w(u) = 21*u - 18271. Give w(g(y)).\nAnswer: -42*y**2 - 18271","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 4 - 10*q + 12*q - 5 + 3. Let d(r) = r**2 - 3*r - 3. Calculate -2*d(i) - 3*x(i).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = -5*l - 12, 3*l - 9 = -3*d - 0*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + 303403230?\nAnswer: 303403222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -82*w**2 + 5*w**3 - 3*w**3 + 3*w**3 + 9*w**3 wrt w?\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9161417?\nAnswer: 1999, 4583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of -v**6\/120 + v**5\/20 + v**4\/8 - v**3\/3 + v**2 - 3*v. Let w(y) be the first derivative of j(y). What is w(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 944 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 6. What is the remainder when -2 - (1 + -42 + i) is divided by (-1)\/(7 + -3 + -3) + 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1601 - 102?\nAnswer: -2003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 181 - 56. What are the prime factors of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000085 rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1343 (base 10) in base 16?\nAnswer: -53f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/7, 1\/8, 3, -10.19, 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 45633 and 848.\nAnswer: 730128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 20 = 3*k, 2*k + 0*k - 8 = 2*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {j: 3, b: 8, r: 5}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 385, 787, 1197, 1615, 2041, 2475, 2917?\n\"Answer: 4*l**2 + 390*l - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 - 151*k + 5453. Let h be c(52). Solve -h = -6*p - 341 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54841 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - b = 24, -5*b + 1830 = 5*w + 1830 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/8)*c*c\/(c*c**(1\/6)*c))**(-28)*c**(2\/7)*(c**(-1\/3)*c)\/c*c*c**(-46) assuming c is positive.\nAnswer: c**(-1843\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Total of -12.005 and -12.\nAnswer: -24.005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 451894 is divided by 57?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of -34402 and -1.\nAnswer: -34403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -3*o - o. Let j(b) be the second derivative of -b**3\/6 - b**2 - 7*b. Let r be j(-2). Put 4, o, r in descending order.\nAnswer: o, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 646 and 8512.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pyz when three letters picked without replacement from {z: 4, c: 1, y: 1, a: 1, p: 1}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -2*s**2 + 28*s - 3. Let h(o) = -5*o**2 + 84*o - 8. Let p(l) = 3*h(l) - 8*n(l). Find the second derivative of p(u) wrt u.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 122*g**3 - 2*g**2 - 2*g - 1. Let v(x) = -5*x + 7. Let c be v(1). Is d(c) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ououohuouuuoohouoh. Give prob of sequence huu.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p. Let k(c) = 8*c - 12. Let s(t) = -3*t + 5. Let i(z) = -5*k(z) - 12*s(z). Give i(o(l)).\nAnswer: 8*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0012787906619 rounded to 6 dps?\nAnswer: 0.001279","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -16\/13 and -103\/20.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**2 + 0*m**2 - m**3 + (-4 + 0 + 5)*(0*m**3 - 2*m**3 + 0*m**3) + 2*m**3 - 4*m**3 + 4*m**3)*(m + 0 + 0)*(-7 - 14 + 3).\nAnswer: 18*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 307 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-36\/5)\/d**(-2\/15)*((d\/d**(2\/51))\/d)**(12\/7))**(-20) assuming d is positive.\nAnswer: d**(50936\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29873761.\nAnswer: 29873761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/16)\/((-4)\/(-12))*114\/6327. Sort w, -0.4, -8 in decreasing order.\nAnswer: w, -0.4, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*w = -26*w + 3042. Suppose 3*u + w = 3*m, 2*u + 8 = -2*u. Calculate the greatest common factor of m and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 251808 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 349 - 326. Suppose g*a = 19*a + 24. Solve 7*f - a*f = 1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 51063 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69066 is divided by 3288?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.01 - 0.19. Put 7, a, 3\/2 in ascending order.\nAnswer: a, 3\/2, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - 3) + -7 + 6. Let q = 11\/2 + b. Find u such that q*u**2 + 0*u - 1\/2*u**4 + 0 + 0*u**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -l - 0*l - 119, -r + 5*l = 35. Let c be ((-12)\/r)\/(144\/7976590). Let i = c + -22160. What is the common denominator of i and -109\/18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91*r - 90*r - 2 = 0. Let g = 0 + 0. Suppose g = -0*x + r*x - 22. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 325\/4095*(-15)\/25*-8. What is the closest to o in 0.5, -0.4, 0?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 352\/192 - 10\/12. What is the closest to -3 in n, -0.5, 3, 2\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -678, -3, 1\/5, 26, 0.\nAnswer: -678, -3, 0, 1\/5, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from opjooopppjojoo. What is prob of sequence poj?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.2204076 (b) 0.8 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4783501 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of 2*g**5 + 25*g**4\/12 + 5*g**3\/2 + 49*g**2\/2 - 3272*g. What is the second derivative of q(u) wrt u?\nAnswer: 240*u + 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 60 - 60. Suppose p = -5*s - 0*s + 15. Let v(x) = x**2 - 4*x**s + 3*x**3 - 6*x + 5*x**2 + 1. Determine v(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 367901708 to the nearest integer?\nAnswer: 19181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 4 = 1. Suppose 2*g - 23 = -h. Let m(o) = -o**3 + 8*o**2 + 12*o - 7. Calculate the remainder when m(9) is divided by g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2901 is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 times -0.062419?\nAnswer: 0.686609","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 9733261 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*v = -14*v - 4*v. Which is the biggest value? (a) -2 (b) 3 (c) v (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.149 + 126.559. Let q = -128 + m. Let p = q - -0.81. What is p rounded to 1 dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110100101 - 110000010111011?\nAnswer: -101111100010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 64574?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 33146 (base 9) to base 10\nAnswer: 21993","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**4 - 320*o**3 + 4500*o**2 + 81000*o.\nAnswer: 4*o*(o - 45)**2*(o + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*10\/(-75) + (-816)\/(-1740).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (54\/630*42)\/(42\/(-945)).\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.16 rounded to the nearest integer?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, k: 5, z: 8, q: 2}. What is prob of picking 2 z?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1085, 2184, 3295, 4424, 5577, 6760, 7979?\n\"Answer: h**3 + 1092*h - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of -d**4\/4 - 26*d**3\/3 - 25*d**2\/2 + 3*d - 8. What is the units digit of n(-25)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -426, -4, 2, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 - 27*a. Determine f(-26).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j + 7. Is 3 a factor of s(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-20)*2*(-6)\/(-4).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 54, 78, 102, 126, 150?\nAnswer: 174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*w - 57693 - 142567 = 0. What is the thousands digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3228, -0.3, 16, -3, 4, 112 in increasing order.\nAnswer: -3, -0.3, 4, 16, 112, 3228","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 856 + -495. Suppose -2016 = -28*b + 28. What is the remainder when i is divided by b?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 10. Suppose 0 = i + 4, m - n = -m - i. Solve -h = -p + 3, 3*p - 1 + 6 = -m*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 69308 (base 10) to base 9\nAnswer: 115058","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 929960, 929446, 928590, 927392?\nAnswer: 925852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 14*x + 39 = 0. Solve 2*j = 3*j + x for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1464?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9092?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2437, 1027, -381, -1787, -3191, -4593?\nAnswer: -5993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 903?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 151 + -152. Let i = 5.9 + -5.92. Which is the nearest to g? (a) 5 (b) 1\/4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 3*f + 86 + 28 = 0, 4*f = -2*w + 30. Suppose 2*s + 5*s - w = 0. Put 0, -7, s in decreasing order.\nAnswer: s, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*t - 30*t - 17*t**3 - 202*t**2 + 196*t**2.\nAnswer: -17*t**3 - 6*t**2 - 48*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 48*n - 59*n. Suppose n = 275*g - 281*g. Put -4, 2, g, -1 in descending order.\nAnswer: 2, g, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) - (sqrt(216) + sqrt(216)*3 + sqrt(216) - sqrt(216) - sqrt(216))\/sqrt(12) - 3*sqrt(2)*-4*-5)**2.\nAnswer: 8712","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 12 = -3*i + 9 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19*k**2 + 12*k**2 - 8*k**6 - 7*k**3 + 1 + 8*k**3 wrt k?\nAnswer: -960*k**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/30*(-39)\/52\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 422 - 380.8. Let q = 41 - m. Which is the nearest to 1? (a) 0.2 (b) 2\/9 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1914364, -3828716, -5743042, -7657336, -9571592, -11485804, -13399966, -15314072?\nAnswer: -17228116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-30)\/(-4)*(-24)\/(-30). Let g(d) = -d + 7. Determine g(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 1280*b + 26. Is h(1) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 PM and 12:46 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.03 - 0.05. Let u = -0.08 - i. Let z = 0.515 - 0.815. What is the closest to -2 in -0.5, z, u?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 8 = t. Let d be (136\/32 - 5)\/((-1)\/4). Suppose t*h = d + 1. Solve 0 = 3*k + 3*b - 3, 4*b = 3 + h for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 2*r = 2*d - 8, -3*d = -3*r - 9. Suppose -d*g + 3*a + 2 = -0, 3*g - 18 = -3*a. Solve 0 = -y - g*y + 10 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.3 - -6.3. Let h = 1 - m. Let d = -12 + 12.3. Which is the second biggest value? (a) 1 (b) h (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 170 and 204?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.860822 years to decades.\nAnswer: 0.0860822","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, h: 9, p: 4, i: 1, u: 1}. What is prob of picking 1 i, 1 p, and 1 u?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -245*z**5 + 1085*z**4 + 3865*z**3 + 3635*z**2 + 1240*z + 140 = 0. Calculate z.\nAnswer: -1, -2\/7, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 15859324?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13300\/(-200) + 62\/4.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 4.743216us?\nAnswer: 0.0000000790536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1629 is divided by 232?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/13, 11, -3.\nAnswer: -3, 1\/13, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3131601 rounded to 3 dps?\nAnswer: -1.313","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4394 + -9397. What is the tens digit of o\/(-18) - 19\/114?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -85 (b) -2\/3 (c) -3 (d) 0.037 (e) 2 (f) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 668 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 82\/7 - 293\/28. Factor 0*d + 1\/4*d**3 + m*d**2 + 0.\nAnswer: d**2*(d + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cbbcbabbffgwabbbbbb. Give prob of sequence cfcg.\nAnswer: 1\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 254758 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*15.\nAnswer: -7.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 102*o**2 - 3*o + 6. Let r(w) = -4080*w**2 + 119*w - 238. Calculate -119*m(y) - 3*r(y).\nAnswer: 102*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 2:56 AM?\nAnswer: 2:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - 2)*-14 - 8. Let u be (d\/(-15))\/((-1)\/15). Solve -5*j = -31 + u for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 34\/5 of a litre?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4734315.\nAnswer: 3, 5, 35069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -182, -199, -218, -239, -262, -287, -314?\n\"Answer: -m**2 - 14*m - 167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 877?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/947314 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -736, 1\/2, 84?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36127*5.\nAnswer: 180635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1665 and 5365?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.23 - -7.23. Which is greater: -2 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-27)\/(-15))\/(177\/(-590)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 - 5*m**2 - 3*m - 8. Calculate f(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -24969, -24215, -22139, -18081, -11381, -1379, 12585?\n\"Answer: 110*v**3 + v**2 - 19*v - 25061","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 137 + -113. Calculate the smallest common multiple of 84 and q.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 183093439 to the nearest integer?\nAnswer: 568","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2 - 14*z - 6. What is the lowest common multiple of 270 and b(-11)?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s - 8. Let m(b) = -b**2 - 10*b. Let x be m(-7). What is the units digit of g(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 102 = 4*u - 4*y, -92 = -4*u - 2*y. Let z(w) = -w**2 - 27*w + 6. Let m be z(-18). Calculate the greatest common factor of u and m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -13\/32 at most as big as -90?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 112 divide 1163408?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 218272*w - 1. Let f(a) = 14*a**2 + 2. Determine n(f(p)).\nAnswer: 3055808*p**2 + 436543","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16311406?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*t**2 + 9690287343*t - 4 - 9690287343*t.\nAnswer: 8*t**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -2907.6 to the nearest ten.\nAnswer: -2910","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*t**2 - 3*t**2 + 40 - 16 - 16.\nAnswer: 3*t**2 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 22683, 48 in decreasing order.\nAnswer: 22683, 48, -5","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2937, 1526, -829, -4128, -8371, -13558, -19689?\nAnswer: -26764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**3 + 26678*n**2 - 373948*n - 854592 = 0. Calculate n.\nAnswer: -13353, -2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -5*l. Let k(f) = -f**2 - 60*f + 60*f. What is k(s(u))?\nAnswer: -25*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 92 + 128 = 0. Let n(d) = 3*d + 4*d + 15 + 9*d + 6*d**2. What is the hundreds digit of n(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*j - 3600 + 4412 = 0 for j.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 213159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 934370, 934657, 934944, 935231, 935518?\nAnswer: 935805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3495 to the power of 1\/2, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/4 + 27\/18. Suppose l = -4*f + 3*f. Let y be (-2)\/(-4)*1\/(-2). What is the biggest value in y, 2, f?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -304 or 61\/3374?\nAnswer: 61\/3374","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -30 < -33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 394139457?\nAnswer: 3, 229, 191237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1 + -0.5. Let u = 1.4341 + 1.0659. Put q, 2, u, -1 in increasing order.\nAnswer: -1, q, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -3*q**2. Let h be g(-1). Let m be h*((-2)\/6 + -1). What is the third derivative of -p**m + 0*p**4 - p**2 - p**4 wrt p?\nAnswer: -48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4 - 66\/(-6) - 1. Solve 0 = -4*r + 2*y - k*y + 20, 2*y - 6 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 171*j - 180*j = -27 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -297\/4 or -75?\nAnswer: -75","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 436 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 448392757?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 7, 30, 69, 130, 219, 342, 505?\n\"Answer: x**3 + 2*x**2 + 10*x - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/((2 - -1)\/(-3)). Suppose -4*s = 4*c - 8, -3*c + 3*s - 6 = -c. Suppose 2*p = c, j = -k + 3*p + 9 + 31. What is the greatest common divisor of 8 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 AM and 1:55 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 230.49729 milliseconds in minutes?\nAnswer: 0.0038416215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (25\/((-1250)\/(-280)))\/(-2)*5*3. What is the closest to -0.1 in 2, s, 14, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 12783, 25559, 38341, 51129, 63923, 76723, 89529?\n\"Answer: 3*d**2 + 12767*d + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d - 1. Let o be i(9). Let b(g) = g - 3 - o*g + 2 + 0*g. What is the tens digit of b(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*t**5*z - 78759028*t**3*y - 2*t**2*y + 2*t**2*z - 398*t*y*z + t*y - 4*t - y*z + z wrt t.\nAnswer: 180*t**2*z - 472554168*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*f**3\/9 - 993*f**2 + 2126*f\/3 + 2552\/9.\nAnswer: (f - 1276)*(f - 1)*(7*f + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200) + (sqrt(200) - (sqrt(200) + (sqrt(200) - (-1 + sqrt(200))))) + 5 + (sqrt(200) + 3*sqrt(200))*-5)**2.\nAnswer: -1520*sqrt(2) + 72216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 3 = 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 5*l + 3. Let a(z) = 2*z + 1. Give 17*a(g) - 6*n(g).\nAnswer: 4*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2047, -2014, -1959, -1882, -1783?\nAnswer: -1662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5 + -5 + 16 + -6. Suppose z = -12*r + 10*r + 1814. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is ba - -4?\nAnswer: c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4 + (3 - 6))*7. Let f(x) = -x**3 + 6*x**2 + 8*x + 10. What is the remainder when f(g) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2*q. Let s(x) be the second derivative of -35*x**4\/2 + 3160*x. What is s(p(n))?\nAnswer: -840*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6 (b) -2\/15 (c) -2 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xwwxppeewxwewwx. Give prob of sequence ew.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 13358395?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -972736*c + 248296.\nAnswer: -972736","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 419247067 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*h**3*t**2 - 145*h**3*t - 19*h**3 - 2*h**2*t**2 - 25*h**2 with respect to t.\nAnswer: 4*h**3*t - 145*h**3 - 4*h**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2426693 to the power of 1\/2, to the nearest integer?\nAnswer: 1558","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -2*c**3 - c**2 - 4*c + 4. Let s(p) = -p**2 - 7*p**3 + 0*p**3 - 7*p + 3*p**3 + 0*p**2 + 7. Give -7*h(x) + 4*s(x).\nAnswer: -2*x**3 + 3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 14761 - 7066 - 2*b**2 - 7695. Let x(g) be the third derivative of -g**4 - g**2. Calculate h(x(l)).\nAnswer: -1152*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*v**2 + v**2 - 4*v**2)*(370*v - 218*v - 200*v) + (3*v**2 - 3*v**2 + v**2)*(2*v - 4*v + v) - 8*v**3 + 0*v**3 - 2*v**3.\nAnswer: -107*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1335 less than 1676764\/1257?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + u - 0*u - 14, 2*u - 8 = 0. Let n be k + 6 - 1\/2. Let g(i) = -i**3 + 6*i**2. Let w be g(6). Which is smaller: n or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -60114 divided by -20038?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (40\/(-12) + -2)\/((-16)\/1416)?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 1943168?\nAnswer: 1943168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13 - -1?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 42*j + 1. Is r(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -59006431 - 1264616\nAnswer: -60271047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least 3\/614836954?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -36 + -11?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.09 times 2.3581\nAnswer: 0.212229","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -11*p**2 + 5*p + 27. Let a(b) = 8*b**2 - 4*b - 22. Let c(w) = 5*a(w) + 4*t(w). Let m(u) = 3*u**2 + u + 2. Give 4*c(l) + 6*m(l).\nAnswer: 2*l**2 + 6*l + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 49 = -11. Is m a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = 5*s, -2*l = -5*l - 5*s - 22 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (7 + -16) - 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4 - 14222\/(-12)) + (-16)\/96. Solve 1201 = 3*r + s for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of -15*k**4\/4 + 5*k**3\/3 + 5*k**2\/2 + 5*k + 71. Let t(z) = -8*z**3 + 3*z**2 + 3*z + 3. Calculate 3*q(r) - 5*t(r).\nAnswer: -5*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12212 (base 3) to base 5.\nAnswer: -1113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2615298?\nAnswer: 2, 3, 7, 73, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/p**(-47)*p\/p**(-11))**(-1\/5))**(-33\/5) assuming p is positive.\nAnswer: p**(2013\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of -c**3\/3 + 5*c**2\/2 + 3*c - 1. Suppose 3*o + o = 16*o. Let v be 2 - (o + 8\/(-2)). Give j(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 5:00 AM?\nAnswer: 7:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 26*-4*(-16)\/128?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -16\/7, 24, 5, -5709.6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5323 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20*c**5 + 115*c**5 - 29*c + 125*c - 14*c - 14*c**5 wrt c.\nAnswer: 2420*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -25*b**3 + 4770*b**2 + 15456*b + 12416 = 0. Calculate b.\nAnswer: -8\/5, 194","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(243) + -1 + (-3 + sqrt(243))**2*-1 + 3.\nAnswer: -253 + 63*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 718178 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 14 - 17 - (-7 - -1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 + 7*f**2 - 15. What is t(3)?\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25 + 15. Let g = -7.13387 - 2.87041. Let c = g - v. Round c to four decimal places.\nAnswer: -0.0043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 26*h**2 - 1. Let g = -1 - -2. Is 25 a factor of k(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 4*h - 62, 4*h = 2*x + 34 + 26. Suppose 4*w = 5*l - 7*l - h, 0 = -4*w + l - 10. What is the third smallest value in -1, w, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-46368)\/(-1472) + -2*60\/16.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 242*z**2 - 299*z**2 + 37*z**2.\nAnswer: -20*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 + -1)*(213\/923 + 556\/182).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 + 10*m**2 - 2*m - 10. Let r be i(10). Let j = -9 - r. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + -1124133410?\nAnswer: -1124133403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 497 is divided by -25 + 11 + 12 + 264.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence koko when four letters picked without replacement from kkokogookkoogmokg.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-234)\/15)\/((2144\/(-80))\/67).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 402 and 335?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12.9 + 12. Let w = s + 1. Which is the nearest to w? (a) 5 (b) 1\/4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1056 a multiple of 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 771062887?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3959, 25216, 60645, 110246, 174019, 251964, 344081?\n\"Answer: 7086*b**2 - b - 3126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 23*n**3 - 27*n**2 - 10. Let v be q(19). Round v to the nearest 10000.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -365 + 4324. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 - 33*o**2 - 57*o + 153. Let t be j(-31). Which is the closest to 0.2? (a) 5 (b) t (c) 0.17 (d) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uucggegmcuguggg. What is prob of picking 2 c and 2 u?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.7 + 0.3. Which is the second biggest value? (a) v (b) 1 (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -2488*y**3 - 35*y**2 - 63*y - 64. Let p be r(51). Round p to the nearest one million.\nAnswer: -330000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48 + (-87 - (-44 + -4)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 + 9. Suppose -6*j + 13*j + 5 = 8*j. Solve 0 = 5*z + j*r + 15, 3*z - 3*r + 1 = -w for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 10:37 AM?\nAnswer: 8:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -4*r. Suppose r = -5*v + 2*t + 27, -2*t = -v - 6*t + 1. Let c(n) = v + 0 + 3 - n. Determine c(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 + 6*j - 22. Give r(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-355656)\/(-16352))\/(7\/(-24) + 2\/3)?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18721076, 18721080, 18721084, 18721088, 18721092?\nAnswer: 18721096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rjrgggggrjgrjrgjr. Give prob of picking 3 r.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4936546?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 8*x + 1356 = -12*x, -3*x = f - 256. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -204 in 0.3, -7\/4, 53?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pdbc when four letters picked without replacement from {n: 2, b: 1, d: 2, c: 1, p: 1, t: 1}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -2*o**2 + 216*o + 619. Determine w(111).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14183988 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 4*t - 101. Let j be u(22). Let h(r) = -4*r**3 - 49*r**2 + r - 6. What is the tens digit of h(j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3060 + 3041. Let z(v) = -v**3 - 19*v**2 - v - 23. Give z(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6480700 rounded to the nearest 10000?\nAnswer: 6480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 AM and 5:05 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 5:32 PM?\nAnswer: 5:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.8 - 6. Let w = 3.1 - 3. Put 4, w, p in decreasing order.\nAnswer: 4, w, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2*r**3 - 56*r**2 + 390*r + 12. Let d be n(13). Solve i + 10 = -3*g, 5*g - d*i + 30 = -7*i for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 115.4 - 114.9. What is the biggest value in -1\/55, h, -2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 98 - 98.13. Let v = -0.87 + u. Let p = 5\/3 - 7\/3. What is the closest to v in p, 0.04, 3\/5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 - 11*u**2 - 7. Let y = 29 + -40. Let f be m(y). Let j = f - -15. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(72))\/sqrt(9) + -5.\nAnswer: -5 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -2259, 3\/8?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 200377\nAnswer: -400754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/316992 and 37\/49028096?\nAnswer: 147084288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 2:50 PM?\nAnswer: 4:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/7 (b) -0.46188 (c) 0.2 (d) 5 (e) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 185 and 2923?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -608150, -608315, -608478, -608639?\nAnswer: -608798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74141024.\nAnswer: 2, 647, 3581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -16. Let l be (-6986)\/(-70) + 2\/p. Round l to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 0*i + 5*i - 15*i**2 + 4*i. Let b(g) be the first derivative of 8*g**3\/3 - 5*g**2\/2 - 103. Give 11*b(s) + 6*w(s).\nAnswer: -2*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -55 + 56. Suppose -3*g + 4*g = b. Calculate the smallest common multiple of 8 and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(120)*3)\/((sqrt(72) - (sqrt(72) + sqrt(72)*-3 - sqrt(72)))\/sqrt(12)).\nAnswer: -9*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 0*h + 0*h - 14*h. Is p(-3) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -65952, -138350, -210748, -283146, -355544, -427942?\nAnswer: -500340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - h = -4*h + 68, 3*h + 44 = 4*u. Solve -4*r + r + a + u = 0, 4*a = -8 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 - 16. Let i = b - -5.4. Let k = 37\/11 - 35\/11. What is the nearest to 0 in i, k, 2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqq when three letters picked without replacement from zttqcuzzbbtc.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001899 to five dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zxxkkzxxxzkxkxxk. Give prob of picking 2 k.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 + 4*n + 1. Let j(y) = y. Give -6*j(f) + o(f).\nAnswer: -f**2 - 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 15*w**2 + 6 wrt w?\nAnswer: 30*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-6 - 1197\/(-15)) + (-1)\/(-5) is divided by 1*-2 + 0 - -27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + -4. Suppose 4*h - 6 = 2*m, -4*m + c = -2*h - 5. Suppose -g - 3*w + h = -0, 3*w = -3*g + 3. Solve g = -2*d - 0*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30, 30, 28, 24, 18, 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 806080.1l?\nAnswer: 806080100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1150 and 115?\nAnswer: 1150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in nine tenths of a kilogram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 3*i. Let g(x) = 6*x**2 - 12. Give g(j(n)).\nAnswer: 54*n**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48383, -96761, -145133, -193499?\nAnswer: -241859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a**2 - 2*a - 7. What is x(9)?\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -19817 and -3899.\nAnswer: 77266483","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 0*r = -3*r + 6, 4*r - 31 = -5*c. Suppose -k + c = -v, 4*k - 2*v = 8*k - 6. Suppose 2*m = -2*y + 4*y + 138, 0 = k*m + 4*y - 138. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dxbxbxxbxb. What is prob of sequence bx?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w**2 + 15*w - 5. Let s(q) = 2*q**2 - 14*q + 4. Give 4*g(p) + 5*s(p).\nAnswer: 2*p**2 - 10*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -121 (b) -534 (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 90885?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -66467091, 1\/6, 2\/5 in increasing order.\nAnswer: -66467091, 1\/6, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21315 and 3185.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 35175 + -19167. List the prime factors of g.\nAnswer: 2, 3, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence exe when three letters picked without replacement from exxeexxexexeexxxexe?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iu when two letters picked without replacement from {k: 1, i: 1, c: 9, u: 2}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/10 - (-9)\/(-15))*(-387)\/(-43)?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.05080436 or -2\/131?\nAnswer: -0.05080436","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 - -37\/2. Suppose 3*a - 3*p - 522 = 0, 14*a - 339 = 12*a - p. Let o = a + -168. Sort k, 0.12, o in decreasing order.\nAnswer: o, k, 0.12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 464340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6550 by -5.\nAnswer: -1310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b + 10. Let p be 18\/1*(-34)\/2. Let x = p + 310. Determine l(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 5, 2*o - 543 = -0*x - x. Is 69 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from wuwu.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (((sqrt(95) - sqrt(95)*2*1)\/sqrt(5))**2 - ((sqrt(133) - (-2*sqrt(133) - sqrt(133)))\/sqrt(7) + sqrt(190)\/(sqrt(10) - sqrt(40)))).\nAnswer: -3*sqrt(19) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 12344, 12335, 12326, 12317?\n\"Answer: -9*o + 12353","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11.9? (a) 0.1 (b) -2 (c) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/2)\/(38\/(-12) + 3). What is the greatest common divisor of 9 and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.5 and -0.09481.\nAnswer: 0.40519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -11 - 1. Let l be n\/(-3) - (-6)\/10. Let x be 10 - (6 - (22\/55)\/(4\/(-41))). Which is the second smallest value? (a) 3 (b) 0.3 (c) x (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3247.35 centimeters?\nAnswer: 32473500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 4:27 PM?\nAnswer: 1:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*u + 3*u + 0*u)*(2*u + u - 2*u) - 2*u**2 - 2*u + 2*u + 1414*u**2 - 217*u**2 - 768*u**2 to the form c + s*u**2 + n*u and give s.\nAnswer: 425","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.006658 to 2 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 225786600 and 225?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -116*l**3 + 2 + 107*l**3 - 1 + l**2 + l to q*l**3 + a*l**2 + o + r*l and give q.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -89 - -92. Let l(m) be the third derivative of 0*m + 1\/90*m**6 + 1\/9*m**g - 1\/18*m**4 + 0*m**5 - 1\/315*m**7 + 0 + m**2. Let l(c) = 0. What is c?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/63*7*1\/2*(-736)\/230?\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 202213 - 111033222?\nAnswer: -110231003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 15 = 2*u, -4*u - 4 + 16 = 0. Let w be a*(1 - 13\/(-3)). Solve w*p = 12*p - 16 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 x, and 1 s when three letters picked without replacement from {l: 6, a: 2, x: 3, s: 2}.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8034548943 to the power of 1\/3, to the nearest integer?\nAnswer: 2003","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 4*f + 59. Let l(n) = -8*n - 119. Let s(p) = 13*a(p) + 6*l(p). Let j be s(-12). Solve j*i - 20 = 3*t, -2 = -i + 4*t + 2 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x**3 - 59*x**2 + 101*x + 22. Let d be a(2). Suppose 1\/6*m**d + 7\/6*m**3 + 0 + 5\/6*m + 11\/6*m**2 = 0. What is m?\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-18)\/10)\/((-6)\/150).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -514*b + 514*b + 2*b**2. Let u(s) be the third derivative of -s**5\/30 + 2*s**2. What is u(k(a))?\nAnswer: -8*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + 5*z - 3*z)*(1 - 1 + 3*z)*((-z + z + z)*(-z - 1 + 1) + z**2 - 4*z**2 + z**2).\nAnswer: -9*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 134311?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3991551.\nAnswer: 3, 263, 5059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-4408)\/(-3857)*-2*2\/(-32)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, 10 in descending order.\nAnswer: 10, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 8*y**2 + 5*y + 2. Let i be a(4). Let z be (-1 - (i + -1))*3000. What is z rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 + 43*z**2 - 83*z + 48. Determine a(41).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15*o**5 + 1347*o**3 - 1347*o**3 + (2*o + o + 0*o)*(-2*o**4 + o**4 - 3*o**4).\nAnswer: 3*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -10*p**2 + 95*p + 159. Determine j(11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**7\/d)**(-8) assuming d is positive.\nAnswer: d**(-56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(675) + 0 - sqrt(675)) + -2 + (((sqrt(21) - (sqrt(21) - sqrt(84)\/sqrt(4))) + sqrt(21))*6)\/(sqrt(14)\/(sqrt(6)\/sqrt(3))))**2 + -1.\nAnswer: -48*sqrt(3) + 435","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 5*d - 2. Let n(c) = -36*c + 15. Give -6*n(a) - 45*v(a).\nAnswer: -9*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 301 and 86.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a gram in milligrams?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001744728311 to 4 decimal places.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1426791 rounded to the nearest ten thousand?\nAnswer: -1430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**2 + 28871*d - 202048 = 0. What is d?\nAnswer: 7, 28864","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -26 + 17 + 84 + -35\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 PM and 6:19 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00288636 rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 544 and 269992?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.009 + -1.35799?\nAnswer: -1.34899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**2 + v**5 + 0*v**2 - 3 + 4)*(-21 - 167 - 36).\nAnswer: -224*v**5 - 448*v**2 - 224","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i - i + 2*i + i. Let b(l) = 4*l + 7*l - l - 8*l. Give h(b(w)).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a litre in millilitres?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 5*k - 155. What is x(32)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(8\/(-6)) + (38 - 39)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of a**5\/50 - a**4\/30 - 2*a**3\/5 + 4*a. Determine i so that j(i) = 0.\nAnswer: -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lllc when four letters picked without replacement from clclclllll.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**2)**(-42))**(12\/7)*(q**(-2\/5)\/q)**(1\/10)\/(q**1)**(2\/31) assuming q is positive.\nAnswer: q**(-223517\/1550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 9:49 PM?\nAnswer: 9:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 748 and 343750.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*2*sqrt(1900) + sqrt(1900).\nAnswer: -30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 3*k - 2*k + 56 = 0, 5*k - 20 = 0. Let v = d - -13. Suppose v*q - 5*q = 4*a - 4, 12 = -3*q. Solve -a*t + 3 = t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 394b - 1?\nAnswer: 394a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -q - 12 + 24 for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - m. Let c(q) = -4*q + 2*q + m*q. Let s(j) = -j**2. Determine c(s(o)).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64399.3 millennia to decades.\nAnswer: 6439930","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 101111101000111 (base 2) in base 16?\nAnswer: 5f47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14756, 14757, 14758, 14759, 14760?\nAnswer: 14761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1734, 3794, 5852, 7908, 9962, 12014, 14064?\nAnswer: 16112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.03? (a) -1\/6 (b) 0.47 (c) -571\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 - 8. Suppose 3 = d*f - 12. Let m be ((-2)\/f)\/(2\/(-12)). Sort -4, -5, m in increasing order.\nAnswer: -5, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 35 in -0.1, -2\/9, 1\/4, -27, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4271 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 8 = -0*f - 2*i, -5*i - 38 = -4*f. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lm when two letters picked without replacement from {y: 2, c: 1, m: 1, o: 2, l: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + -241001?\nAnswer: -241001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -24 + 30. Let g(k) = 1 - k + 2 + 8*k**2 - k**2. Calculate the lowest common multiple of 30 and g(c).\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2010221 (base 3) to base 16\nAnswer: 61c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.020738 millennia in years?\nAnswer: 1020.738","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -20876, -41624, -62106, -82190, -101744, -120636?\n\"Answer: 22*t**3 + t**2 - 20905*t + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2532370, -2532387, -2532418, -2532469, -2532546, -2532655, -2532802, -2532993?\nAnswer: -2533234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -167*h + 21. Let z = 333 - 342. What are the prime factors of x(z)?\nAnswer: 2, 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 12*q - 42. Calculate s(-9).\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2268*i - 1600. What is v(1)?\nAnswer: 668","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5888 and 256?\nAnswer: 5888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -86*t**3 - 2*t**2 + 8*t. Is q(-3) a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16 * -0.4.\nAnswer: -6.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 648 greater than 657?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -10*r - 243. Let o be c(-75). Solve 2*w - o = -515 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1106)\/126 + 429\/52 + (45\/12 - 3).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 80\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*d + 9 + 472. Let g = 114 + d. Let l = 100 - g. Solve -5*q = -2*t + l, 3 = 3*q + 3*t - 0*t for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 475 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, y: 1, r: 2, k: 1, a: 1}. Give prob of sequence da.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 999358?\nAnswer: 2, 499679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/60)\/((0 + 2)\/(-8)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10382933 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -3679618.\nAnswer: 5\/3679618","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.09 - -0.01. Let h = -0.53 + 0.93. Which is the closest to g? (a) 1\/4 (b) 0.1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1684 + -1679. Which is the nearest to 1? (a) -0.2 (b) d (c) -168\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.3108 to 2 dps.\nAnswer: 12.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 94120838?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2*(363\/(-6) + 3). Suppose x = -4*x + z. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165*y - 177*y = -4212. Is 13 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-22) - (-64)\/132. Is c smaller than -1\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3270 is divided by 129.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 5 = -2*c. Let m = 3\/269 + -13785\/5918. What is the common denominator of 74\/20 + c\/5 and m?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (2 - (-6 + 13)) - 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -4*j + 18, -4*j = 5*r + 5 - 32. Suppose -m = -2*m - 5*l + 199, j*m = -2*l + 610. Suppose -2*o = -m + 16. What is the tens digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 - (-3 - (-19)\/(-5)). Let t = 4 - w. Let p be 0\/(1 + -3 + 3). Which is smaller: p or t?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1883?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, 0.5, -13, 0?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*k + 8*k - 4*h - 12, 5*k + 2*h = -27 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/140112 and 73\/2502?\nAnswer: 140112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 p when two letters picked without replacement from rypzilz?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 2*n + 2*n - 71 = 0, 4*n = -2*l + 38. Let c = 15 - l. Factor -6*a**3 + 5*a**2 - 14*a + 3*a**2 + 8*a**2 + c.\nAnswer: -2*(a - 1)**2*(3*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 2, -0.1, 0.1, 7720, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 + 9*l**2 - 141*l + 1789. Calculate r(11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 - 7. Let s be (-4)\/(-18) + l\/9*1. Let z(p) = 123*p**2 + p. Is z(s) a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 375750379.\nAnswer: 23, 83, 196831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*f + 4*g + 38512 - 2046, -5*f + 5*g = -30395. Is 81 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 q when two letters picked without replacement from {d: 1, q: 3, r: 1, k: 5}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 27161 a multiple of 97?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-1\/7))\/b**4*(b**0)**(2\/5) assuming b is positive.\nAnswer: b**(-20\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - 1030002?\nAnswer: -1030003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 14 (b) 17 (c) 5 (d) 0.2 (e) -15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 + 5*k**2 - 9*k - 1. Give d(5).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 325*o**3 + o**2 + 4. Let n(v) = -v**3 + 3*v**2 + 4*v + 4. Let c be n(4). Let w be k(c). Let m = -29920 + w. Round m to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 2. Let y be x - -2*6\/(-4). Let s(i) = 0*i + 2*i - 3 - 7*i**2 - 5. Let b(a) = -a**2 - 1. Give y*s(l) + 6*b(l).\nAnswer: l**2 - 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s + 7. Let f be d(0). Let q(b) = -b + 12. Let c be q(f). Suppose -175 = -c*p + 10. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 61*r**2 + 14*r - 155. Let g be a(5). What is the closest to g in 1, 3, -2\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -15. Let x(k) = -52. Let f(w) = 21*d(w) - 6*x(w). Let h(c) = c**3 - 2. Suppose 217*a - 219*a + 4 = 0. What is a*f(v) - 3*h(v)?\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(-21) + (-2)\/(-7). Let n be 22 + (-4 - (-3 - s)). Suppose 0*m + n = m - 3*g, 2*m + g - 49 = 0. Does 12 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - 4*p + 2 + 4, 2*p - 8 = -4*g. Suppose -g*i - 10 = -0*i. Let q(u) = 1 - 3*u - 8*u**3 - 3 - 4*u**2 + 9*u**3 + 9*u**2. Determine q(i).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135384 is divided by 624.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 28\/3 of a year?\nAnswer: 112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = -29381*a + 29377*a - 58, -4*a + i - 22 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*v - 2 + 2)*(-v + 0*v - v)*(7*v + 3*v + 8*v) to g*v**3 + a*v**2 + c + t*v and give g.\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4, 0.3, 0.16, 2?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -34*p**2 - 29*p**2 - 57*p**2 + 121*p**2. Let a(g) = -11*g - 28. Calculate f(a(q)).\nAnswer: 121*q**2 + 616*q + 784","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of -o**3\/3 + 491*o - 2164. Let t(s) = -3*s**2. Calculate t(g(n)).\nAnswer: -3*n**4 + 2946*n**2 - 723243","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 230074957 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(((-3)\/3)\/175). Round g to the nearest ten.\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22*c + 187 - 231 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/8 - (-1)\/(-4). Suppose -25 = -f*k - 5*k. Suppose 2*s - 13 - k = 4*i, 4*s + 5*i - 36 = 0. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6314 and 656?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*g**4*k**2 - 93222*g**4 + 2*g**2*k**2 + 5*g**2*k + 4385*g**2 - g*k**2 + k**2 wrt g?\nAnswer: -120*g*k**2 - 2237328*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 32*t**5 + 92*t**4 + 84*t**3 + 20*t**2 - 4*t = 0.\nAnswer: -1, 0, 1\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 405 divided by -81\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -225997 less than 738130?\nAnswer: 964127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, v: 4, o: 1}. Give prob of sequence ovvv.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.07924661547 to two decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 15*(12\/(-10))\/(-3). Suppose -2*o - v = -0. Let u = o - -9. What is the highest common divisor of u and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -0.07 (b) -41 (c) -7 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 813 is divided by 397?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a kilometer in meters?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 12*q**2. Let o(j) = 2*j - 3. Let u(s) = 3. Let a(b) = -3*o(b) - 3*u(b). Give x(a(z)).\nAnswer: 432*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 - 78*b + 197. Give l(76).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**22*u*u**(7\/3)\/u)**37)**(10\/9))**(-1\/11) assuming u is positive.\nAnswer: u**(-28120\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.076496 to 4 dps.\nAnswer: -0.0765","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 49.2955*-0.553\nAnswer: -27.2604115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(((-3)\/(-20))\/((-252)\/(-105))). Suppose -u = 2*t - 34. Calculate the highest common factor of 27 and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -61*f - 1006*f - 103*f - 23400 for f.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6852936?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 779308 is divided by 24353.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1*(0 + -3))\/(-1). Suppose a - u = -0*u - 6, -2 = v*a + u. Let x be (-7)\/6 - (6 + (-7)\/1). Sort -5, x, a.\nAnswer: -5, a, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/3)\/(2\/(-6)). Find the common denominator of 133\/(-6) - (2 - (2 - -1)) and x\/(-12)*(-296)\/(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12371.6*-0.01884\nAnswer: -233.080944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 476, 1221, 2346, 4043, 6504, 9921, 14486, 20391?\n\"Answer: 32*x**3 - 2*x**2 + 527*x - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 325\/(-650)*(-49 + 3)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 z when two letters picked without replacement from wwzzzzzwzzzzzzwwzwz.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**2 - 642760*p + 1285516 = 0. What is p?\nAnswer: 2, 642758","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 188*a**2 - 567*a**2 + 189*a**2 + 188*a**2.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5)\/(-2)*16\/20. Find z such that -3*z**2 + 4*z**x + 3*z**2 + 5*z**4 + 8*z**3 + 4*z**5 - 3*z**5 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen quarters of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((5\/5)\/1)\/(-3))\/((-72)\/6264).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 divided by -605.\nAnswer: 16\/605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-12)\/8)\/(2\/(-4)). Suppose -f*y = 2*y - 15. What is the units digit of (-1)\/(57\/(-18) + y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of 2*l**7\/7 + l**5 - 21*l**4\/4 + 40*l**3\/3 + l**2\/2 + 38*l - 12028. Find the third derivative of p(t) wrt t.\nAnswer: 240*t**3 + 120*t - 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.79 + -1.7753. Let t = 20 - 20.018. Let b = r + t. Round b to three dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9482623?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 923982?\nAnswer: 2, 3, 153997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 11. Let u(o) = o**2 - 8*o + 9. Let g be u(m). Solve -g*h = -3*h - 5 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -699441*o**4 + 183*o**2 + 111*o - 2 wrt o?\nAnswer: -16786584*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j**3 + 4*j**3 + 0*j**3 - j**3 - j**3.\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 276797?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 4*s + 3*s. Solve -z + 4*m + 20 = -0*z, s = 3*z - 3*m - 15 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o**4 + 5457*o**3 - 21876*o**2 = 0 for o.\nAnswer: -1823, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmzmzmzmzmz. What is prob of sequence mm?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -8 (b) -7 (c) -5\/4 (d) -1\/3 (e) 0.206446\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**15*b)\/b*b**3\/b assuming b is positive.\nAnswer: b**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14420.\nAnswer: 2, 5, 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of -o**4\/24 + 4*o**3\/3 + 81*o**2 + 3. What is v(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4219925 is divided by 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - p + 211 = 0, 68 = z + 2*p - 4*p. Let y(l) = 188*l + 4582. Let s be y(-24). Do z and s have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21.56 - 21.5600003254. Round x to seven decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13466 take away -4?\nAnswer: -13462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 104122704.59 rounded to the nearest one million?\nAnswer: 104000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 13) to base 3\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.74, -8, -3 in descending order.\nAnswer: -0.74, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3536496?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(16\/3))\/(24\/(-48))?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 258.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 - (-10)\/(280\/161). Let w be -2 - -11 - (-2 - -4). Is c not equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 103372 or 103373?\nAnswer: 103372","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -28\/11607 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19 * 1.4765.\nAnswer: -28.0535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24 - -49) + -31 - (2 - (-5 - (1 + -6))).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of -2*v + 0*v**3 + 0 + 1\/15*v**6 + 0*v**5 - 1\/2*v**2 + 0*v**4. What is the first derivative of p(r) wrt r?\nAnswer: 8*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*z**3 - 6*z**3 + 12*z**3 + 14*z**3 - 15*z**3 + 2*z**3 + 2*z**3.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 3, 1418095, -4.\nAnswer: -4, 0.3, 3, 1418095","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 88, -0.3, -0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.4051985nm?\nAnswer: 0.0000004051985","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21 and 27387?\nAnswer: 191709","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*n - 2*n + 0*n)*(-2120 - 277 + 319)*(1 - 6 + 2) as m + f*n and give f.\nAnswer: 6234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*z + r + r + 12 - 45, -48*z + 10*z + 5*r = 2*r - 193 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 96925709 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*c**3 + 1 + 4*c**3 - 11*c + 11*c - 80*c**4 - c**2 + 73*c**4 in the form u + b*c**4 + m*c**2 + w*c + r*c**3 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 19802\/(-40)*-1 - -1. Let o = m + -499. Let j = 10115\/678 + 28\/113. What is the common denominator of j and o?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -25 + 20. Which is the fourth biggest value? (a) -1 (b) -2\/3 (c) 1 (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {o: 6, x: 2, n: 7}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -7*r**2 - 7*r - 23. Suppose 0 = -8*b + 16 + 32. Let g(s) = -s**2 - s - 1. Let i(j) = b*g(j) - k(j). Is i(-11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 88 = 80 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -n + 46. Suppose n = 6*a - a + 3*s, -4*s = -5*a + 32. Let o = 6 - 4. Solve 2*q - a = -o*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 239 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((6 - 5 + 0)*(-j + 1 - 1) - j + j - j)*(-9565 - 9717 + 4324) to the form l*j + w and give l.\nAnswer: 29916","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1145674, -2291378, -3437118, -4582900, -5728730, -6874614, -8020558, -9166568?\nAnswer: -10312650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(144)*4 + sqrt(144)))\/(sqrt(12) + -6*-2*sqrt(12) + sqrt(48)\/(sqrt(8)\/sqrt(2))).\nAnswer: -5*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 t when three letters picked without replacement from tttntsttsntntttttt?\nAnswer: 13\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2065 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 6*z - 1. Suppose 0 = r + z - 308. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1528?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + -6225?\nAnswer: -6232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2*f**2. Let l(d) = 2*d. What is a(l(c))?\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 40 = -4*o, -4*o - 4 + 84 = 5*k for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.56232 to two dps.\nAnswer: -0.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-5 + 3 + (5 - 2))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -239052 bigger than -239052?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, d: 6, g: 4, o: 1}. Give prob of picking 1 g and 1 d.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1017 divided by -980?\nAnswer: -1017\/980","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 - 6*i + 10. Let b(r) = -2*r + 1. Let w be b(4). Calculate y(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3, -56, -131, -216, -299, -368, -411?\n\"Answer: 2*q**3 - 23*q**2 + 2*q + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 76 divided by 17532\nAnswer: 19\/4383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 5*c - 4 = 0. Let z(b) = -22*b + 5. Let f(x) = x - 1. Let r(j) = 3*f(j) + z(j). What are the prime factors of r(c)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 2 = 4*o - 0*r, -4*o + 2 = -5*r. Let f(u) be the first derivative of -u**4\/4 + u**3\/3 + u**2 + 2*u + 8. Calculate f(o).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -4*s. Let c(r) = -r**2 + 9*r - 8. Let v be c(7). Let m(t) = -23*t**2 - 17*t. Let f(k) = -8*k**2 - 6*k. Let a(b) = v*m(b) - 17*f(b). Give l(a(o)).\nAnswer: 8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/(-5))\/(63\/6).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*u*x - 1771355*u + 528861*x wrt x?\nAnswer: 4*u + 528861","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 - 6. Suppose 3*h = l + 4, 0*l = l + 3*h - 14. Is s(l) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 885*y - 3. Let z(n) = -1774*n + 5. What is 5*i(k) + 3*z(k)?\nAnswer: -897*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**4 - 4 + 4 + (2*x**2 - 2*x**2 + x**2)*(5*x**2 - 3*x**2 - 3*x**2))*(-4 + 4 - 2).\nAnswer: 4*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 66, 135, 206, 279, 354?\n\"Answer: d**2 + 66*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 543692 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -302.9 + 51.9. Let r = -251.1 - q. Let x be 98\/(-36) - 4\/(-18). Which is the nearest to r? (a) x (b) -2\/9 (c) 1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5958.2 or 2?\nAnswer: 5958.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-61)\/122 - 2\/4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - 1) + (-2 - -21150004). Suppose 11*d + s = -4*d. What is d rounded to the nearest one hundred thousand?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + -1 + (3 - -9) + -10.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 443200 (base 8) to base 11.\nAnswer: a2044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do -2\/350949 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6656577?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 260479.\nAnswer: 101, 2579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.3, 8, 6, 3.\nAnswer: 0, 0.3, 3, 6, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -509*t = -503*t + 24 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_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: Let v(a) = a**2 + 2*a + 1. Let k be v(0). Suppose -2 = 2*m + 5*f, -3*m + 6*m + 3 = -4*f. Put m, 11, k in increasing order.\nAnswer: m, k, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 3*j = -15. Let s(u) = -4*u + 4. Let m(r) = -3*r + 4. Let q(d) = j*m(d) + 2*s(d). Let t be q(4). Solve 4*z - 4 - 8 = t for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, m: 3, f: 5, o: 1}. What is prob of picking 1 o and 2 m?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-453)\/(5\/2*-3))\/(4320\/(-675)) - -10?\nAnswer: 9\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 52 + -27. What is the remainder when (-168)\/(-15) - 72\/(-40) is divided by 43\/5 + (-15)\/p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9318 is divided by 62.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qe when two letters picked without replacement from ejejqb?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 3*v**2 - 6*v**2 + 2 - v**2 + 5*v**2. What is the units digit of l(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = x - 9, 1 = -r - x + 4. Let d(c) = c**2 + 3*c + 4. Let w be d(r). Solve w - 8 = 3*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v**4 - 3*v**4 + 7*v**4 + (-5 + v**2 + 5)*(-43 - 10*v**2 + 43).\nAnswer: -6*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69856282 - 69835977 = -155*n for n.\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 3*k**3 - 2*k**2 - k + 1. Let j be v(2). Let i(x) = x**2 + 26*x + 50. Let s be i(-2). Let o be s\/(-15)*j\/155*1. Which is bigger: 1 or o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11 in -12, -2\/15, -4?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of y**4\/20 - 11*y**3\/15 - 13*y**2\/5 - 2048. Suppose f(q) = 0. Calculate q.\nAnswer: -2, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, -0.2, -1\/12, -8.\nAnswer: -8, -3\/4, -0.2, -1\/12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4c3 - 5c212?\nAnswer: -5ba1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -31.3 rounded to 0 dps?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from fnfnnnfffnnfffffnff.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 380*k = 381*k + 67. Put 2, k, -2 in decreasing order.\nAnswer: 2, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 215046 (base 7) to base 6\nAnswer: 450500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5 - -2) + 7\/((-231)\/(-341))*16566 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 614 a factor of 334630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4763 - 4767 + 2*f**2 + 18113 - 8583.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**3 + 4*i - 4*i)*(-2 - 1 + 2) + (-4 + 4 - 3*i**3)*(3 + 0 - 5).\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 6 = 4*k. Let t = k - 4. Suppose -u = -4*f + 3 + 2, -2*u = t*f - 20. Is 4 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, 1, -1\/4 in decreasing order.\nAnswer: 1, -1\/4, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 309137?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((6 + -21)\/(-3))\/(-5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 3*q + 9 = 0. Suppose 341 = 31*i - 0*i + 279. Put -3, i, q in descending order.\nAnswer: i, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-5)*(-160)\/224. What is the second smallest value in -1\/4, b, 7?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3532 divided by -581.\nAnswer: -3532\/581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/3 (b) 6 (c) 174.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -8165 divided by 115?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of 0 + 4*g + 19\/6*g**3 + 2*g**2. Is m(4) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/4 (b) 3\/5 (c) 20\/17 (d) 172 (e) 0.02 (f) 0.2 (g) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1987117.\nAnswer: 11, 180647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 3000518?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 11 = 3*b, 3*j - 2*b = 5*j - 2. Find the third derivative of -24*u**2 + 40*u**j - 17*u**2 - 76*u**6 - 1 wrt u.\nAnswer: -9120*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28675 divided by 1.\nAnswer: -28675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57621 divided by -3.\nAnswer: 19207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22403?\nAnswer: 43, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 249*o**2*r**2*w**2 + 301*o**2*r**2*w - 172*o**2*w + o*r*w**2 + 11*o*r*w + 2*o*w + r*w**2 wrt r?\nAnswer: 498*o**2*w**2 + 602*o**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 - 103*d**2 - 109*d - 682. Give a(-102).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 439832759 = 7*l - 256935828 + 37067587. What is l rounded to the nearest 1000000?\nAnswer: 94000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 790780?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9134426.0829 - 9133866. Let j = z + -560. Round j to 2 dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1478349?\nAnswer: 3, 277, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 14976691 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -9*r - 44. Determine l(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 18 + 17 = 5*b, 0 = 3*y + 8*b + 38 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) -3 (b) -2 (c) -5 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + 0)*-2 + 0. Let u be (-10)\/(-4)*(2 - o). Suppose 4*k - 31 = -5*j, 4*j - u = -k + 2*j. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 - 6*l**2 + 6*l - 8. Let m be n(5). Let s = 8 - m. What is the highest common divisor of 77 and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*b**2 - 8*b**2 - 17*b**2.\nAnswer: -18*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2466 and 297838?\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -886*y - 1 - 35*y**4 - 32*y**3 - 49*y**3 + 1 + 87*y**3 wrt y.\nAnswer: -420*y**2 + 36*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 52972*s + 89699 wrt s.\nAnswer: 52972","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3823705109 - -9.6.\nAnswer: 3823705118.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1070530 (base 8) to base 3.\nAnswer: 112210101201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4 - (-1 + 1))*(-3)\/(-234). Let i = -0.01 - 0.11. Let n = 0.42 + i. Which is the second biggest value? (a) n (b) k (c) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 28097 and 175?\nAnswer: 4916975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 3*f + 104, 17*g = -f + 21*g - 42. Let c be (-103)\/4 + (-1)\/4. Let w = c - f. Solve -n = -5*n + w for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -n**4 + 96*n**3\/5 - 99*n**2\/5 - 164*n\/5 + 36\/5 = 0.\nAnswer: -1, 1\/5, 2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 45863170?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t - 1. Let k(m) = 4*m - 5. Let r(d) = -k(d) + 5*y(d). Let j(x) = -x. Determine r(j(u)).\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -1430.9 to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -0*a + 60. Let x(r) = -6*r + 13*r - r**2 + a - 13. What is the units digit of x(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17*g**3*q**3 + 110674*g**3 + 3*g*q + 5*q**4 - 9*q**2 wrt q.\nAnswer: -102*g**3*q + 60*q**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 + 11*u**2 - 12*u + 19. Calculate g(11).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1048212, -1048210, -1048208, -1048206, -1048204?\nAnswer: -1048202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 1\/4, -2, 4\/105?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 + 12*y. Let i(s) = 4*s**2 - 369*s + 1044. Let b(c) = -i(c) - j(c). Factor b(q).\nAnswer: -3*(q - 116)*(q - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**4 - 3\/2*x + 0 - 9\/2*x**3 + 5*x**2.\nAnswer: x*(x - 3)*(x - 1)*(2*x - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2\/25 = 18411?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4016143 to the power of 1\/3, to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(1\/3)*q)\/q)**(2\/35)*q\/q**(-2\/15)*q**(-7)*q assuming q is positive.\nAnswer: q**(-169\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 506\/483 + (-2)\/(-7) + 850\/(-75).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3723892 and 11.92008.\nAnswer: 3723903.92008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r**2 - 2*r + 1. Let l be h(2). Let i = 13 + l. Solve -4*m - 21 = -1, p - i*m = 8 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 1907 + 1709 = -4*y, y - 1449 = 2*b. Let r = b - -1086. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1034280000 rounded to the nearest 1000000?\nAnswer: 1034000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -56.62 - -56. Let v = j - -0.03. What is v rounded to 1 decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -17 and -1457843?\nAnswer: 24783331","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-30)\/(-4) + 3\/6. Let j(r) be the first derivative of -r**3\/3 + 9*r**2\/2 - 8*r - 5. Let k be j(x). Is k smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1207876.\nAnswer: 2, 67, 4507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 5*h = -4 - 41, 5*o + 4*h = 45. Let s(z) = -z**2 - 3*z + 10. Let p(c) = -c**2 - 3*c + 9. Let y(a) = -5*p(a) + 4*s(a). Is y(o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrurruucucrrurruuc. What is prob of picking 1 r and 3 c?\nAnswer: 2\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 553 divide 903602?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of 245*g**3\/2 + 1443*g**2\/2 - 17*g + 11. What is the derivative of h(r) wrt r?\nAnswer: 735","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 113*h - 115*h. Suppose -5*z = 3*x + x - 2917, -3*z - h*x + 1758 = 0. What is the highest common factor of z and 83?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 5*f**2 - 6*f**2 - 4*f - 3*f**2 - f**3 - 9*f**2 + 5. Let a be u(-5). Let s = -48 - a. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 + t + 1. Let l = 2 - 0. Suppose -3*r + x - 5*x + 11 = 0, l = x. Let j(s) = -s - 1. Let v(c) = r*b(c) + j(c). Let o(g) = -2*g**2. Give v(o(p)).\nAnswer: 4*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 0)*(-7*y**4 + 2*y**4 + 3*y**4).\nAnswer: 4*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/9176 and -7\/183520?\nAnswer: 183520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 56 and 1400?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 447?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 8\/15 (b) 1 (c) -1\/31 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00019488224611 to five decimal places.\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/15 - 628*q\/15 + 49298\/15.\nAnswer: 2*(q - 157)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 112, 111, 98, 67, 12, -73, -194?\nAnswer: -357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/(-12)*6\/(-2). Suppose -5*j = 25, -200 = -2*t + 4*t + d*j. Let p be 2\/(-8) - t\/(-20). Put p, 2, 3 in increasing order.\nAnswer: p, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-40)\/(-6) + (-1)\/(-3). Let g(d) = -d**3 + d + 1. Let a be g(-1). Is 9 a factor of (a\/(-2))\/(x\/(-252))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2837764 and 74678?\nAnswer: 2837764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of 7*g**2 - 7. Let n(a) = 2*a. Give n(s(h)).\nAnswer: 28*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4\/9, -4\/41, -3\/8, 1514, 0.117?\nAnswer: 0.117","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 119 and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 177 + (-2 - (4 + -2)) + 7. Let p be 2 - ((-1)\/1)\/(-1 + 0). Let l be 75 - (p + -3 + 5). Calculate the greatest common divisor of n and l.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (23 + -19 + 24).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 102*(-6)\/480 + (-2 - (-1)\/2) and (-14)\/9*(-6)\/20.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 56.2338 milligrams?\nAnswer: 0.0562338","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22927 and 19749.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 18\/(-12)*(-156)\/9 + -6.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 516.9425 litres to millilitres.\nAnswer: 516942.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -5*n. Let i(d) = 8*d**2. Determine i(o(c)).\nAnswer: 200*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 128*i. Let v(l) = 516*l - 1058*l + 532*l. Calculate v(o(u)).\nAnswer: -1280*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -64827910887248\/11819448493 - 1\/176409679. Let u = j - -5485. Let s = u + 71\/871. Is s greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 14 = -h. What is the units digit of (-4)\/6 + h\/(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1925\/93 - 45306769\/2188848. Which is smaller: 1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(1*(-3 + 2)). Let k = 70 - 61. What is the tens digit of (k + 0)*(s - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in q**2\/9 - 14468*q\/9 = 0?\nAnswer: 0, 14468","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -32 - 3*p**2 + 4691*p - 4707*p + 2*p**2. Give x(-19).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/3)\/((-2)\/(-108)). Suppose n = 3*o + 3. Is o a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/4788 and 97\/91048.\nAnswer: 5736024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1008092118 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q - q + 67*q**3 - 69*q**3.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1399, -5573, -12521, -22237, -34715, -49949?\nAnswer: -67933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.43 + 0.38. What is the third smallest value in 3, g, -4, -3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.5 + 0.5. Let q = 1 + m. Let x = q + 2.9992. What is x rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f**(2\/13))*f\/(f\/f**(-2\/27)))\/(f\/(((f*f*f\/f**(-3\/2)*f)\/f)\/f))**(-3\/19) assuming f is positive.\nAnswer: f**(-8305\/13338)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 135\/(-18)*1*-22. Calculate the greatest common factor of r and 66.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12342141434 (base 5) to base 16.\nAnswer: -e7d519","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 + a. Let o(f) = 6*f**2 - f - 1. Let s(d) = n(d) + o(d). What is the first derivative of s(c) wrt c?\nAnswer: 10*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -495*d**3 + 9*d**2 - 34*d + 10. Let y be j(3). Round y to the nearest 100.\nAnswer: -13400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 + 10*l + 11. Let z(p) = p + 1. Let x(g) = 2*g**2 - 2*g - 2. Let f be x(4). Let m(c) = f*z(c) - 2*b(c). Factor m(s).\nAnswer: -2*s*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 PM and 2:47 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 - v**2 + 16*v - 21. Let o be u(-9). Suppose -2*x - 357 = -5*x + 4*d, -4*x + 3*d + o = 0. What is the remainder when x is divided by 32?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(102)\/sqrt(6) + sqrt(17) - sqrt(17)) + 2).\nAnswer: 8 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000613 to 7 decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of -7\/12*l**4 + 6 + 2\/9*l**3 + 7\/6*l**2 - 2\/3*l. Determine u, given that y(u) = 0.\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 237987 is divided by 29745.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 14\/(-7 + -49) + 37485\/4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16371 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 PM and 5:26 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11*l**3 + 6*l**3 + 5*l**3)*(-4 - 2 + 1) to the form k*l**3 + i*l**2 + o*l + w and give k.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 12456495 divided by 19\nAnswer: 655605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160 = 33*p - 40*p + 29 for p.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 2570.29 micrograms?\nAnswer: 2.57029","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.31 - -5.69. Let p = 5.999915 - l. Round p to five decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 683*r**2 + 3*r - 1. Let m(d) = 631*d. Give m(z(b)).\nAnswer: 430973*b**2 + 1893*b - 631","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.5495596 plus 0.2?\nAnswer: -23.3495596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12 by -558.\nAnswer: 2\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 + 35. Suppose 0*l - 94 = -2*i - 5*l, -i - 4*l + z = 0. Suppose 0 = -i*y + 44*y - 64. Calculate the remainder when 93 is divided by y.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -8*b - 5*b + 9*b + 38. Let p be d(8). Calculate the remainder when 17 is divided by (18\/(-54))\/(10\/p + -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 20613?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v + 1284863*v**2 - 1284868*v**2 + 3*v.\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -587 - -593. Solve -z = 2*z - s - 18, -3*z + q = 3*s for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaaiaisisaaaaa. Give prob of sequence aaaa.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 72077 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: In base 13, what is -98587 - -6c?\nAnswer: -98518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.8 + 4.2. Let o = l - 6. Suppose 2*d + 4 = d. Sort d, o, 4.\nAnswer: d, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 3*v + 34*v**4 - 35*v**4 + 7*v in the form p*v**3 + k*v**4 + f*v + j + q*v**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 692528?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of 0*s - 1\/24*s**4 - 4\/3*s**3 + 12*s**2 + 0. What is the first derivative of a(b) wrt b?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 AM and 1:20 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -3*j**2 + 5*j + 5. Let o(s) = -s**2 + 1. Let f(c) = -l(c) + 4*o(c). Give f(-7).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 49 and 294?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113*l - 1130 = -0*l. Let j(d) = 21*d - 221. What is j(l)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -192 - -189. Let t(r) = -14*r**3 - 5*r**2 - 14*r + 17. Let i(v) = -5*v**3 - 2*v**2 - 5*v + 6. Let o(w) = -17*i(w) + 6*t(w). Give o(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2*q**2 - 10*q. Let d be u(7). Let r be (3\/(-2))\/(d\/16 - -2). Which is the nearest to 0.2? (a) 2\/9 (b) 1 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 2962926?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 20 = -f, 3*f - f = -c + 13. Solve -c = -10*n - 53 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15594823 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52 = -518*n + 58*n - 642 - 226 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*p - p - p)*(6 - 10 + 2 + p) in the form i + h*p + d*p**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 + 7*r - 6. What is the units digit of i(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -470444043 divided by -3?\nAnswer: 156814681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.6 - 0.4. Let m = 0.7 - y. Which is the closest to -1? (a) -1\/4 (b) m (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 392426?\nAnswer: 2, 19, 23, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (46\/92)\/(70\/4)?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 51887 = 15*s - 14*s, -d - 3*s = -10369. What is the ten thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 199b1 (base 14) to base 11\nAnswer: 4494a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 151, 3337, 1, -1, 3 in increasing order.\nAnswer: -2, -1, 1, 3, 151, 3337","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 41 and 124\/3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 237 + -175. Let h = 66 - j. Solve -3*c + 3 = -4*c + 2*p, -5*c + h*p = 3 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -47 - -49. Let k(g) = g - 586*g**v + 591*g**2 - g. Let b(n) = -n**3 + 6*n**2. Let r(f) = -7*b(f) + 6*k(f). Find the third derivative of r(t) wrt t.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 g when two letters picked without replacement from gggggugggu?\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -2 + -5 + -1*(-1 + sqrt(19)).\nAnswer: -7 - sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -128, -252, -376, -500?\nAnswer: -624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9461 + -10727. Do 0.08 and z have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8020*a - 4422*a**5 + 1057*a**5 + 670*a wrt a.\nAnswer: -67300*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 110 = -5*x. Let i = 23 - 5. What is the lowest common multiple of i and x?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27))**2*6*-6 + 5 + (sqrt(3)*-2 + sqrt(3))**2 + -1.\nAnswer: -965","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y. Let g(h) = -6 - 9*h + 10 - 4. Determine g(b(z)).\nAnswer: 18*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 37939 and 55?\nAnswer: 189695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 5*j + 9 + 9, -2*j - 5 = -3*i. Let w be ((0\/8)\/(-3))\/1. Sort 5, i, w, -3.\nAnswer: -3, i, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 AM and 6:56 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2*g. Let a(p) = -214789*p**2. Give d(a(b)).\nAnswer: -429578*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-58)\/551)\/(105\/(-95)).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from gnliwgnoolwwgw?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 + 12*n + 13. Does 12 divide a(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 - 3*o - 2. Let g be z(-1). Suppose 4 = 4*l - 4*a - g, -a = -4*l + 13. Let v = l - -5. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 42 - 654 = 0. Is w a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000307814 to five decimal places.\nAnswer: -0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 2*z + 12, 0*z = 5*z + 5*w. Suppose z*f + 4 = 8*f. Differentiate b - 4*b + b + f with respect to b.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-6)*8\/(-48)*9. Let i(n) be the first derivative of -n**7\/140 + n**5\/60 - n**4\/24 + n**3\/3 - 2. Let h(q) be the third derivative of i(q). Give h(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -318100 by -6362.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 405 and 5805?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 261576?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xffffefwxwjffewffe. Give prob of sequence few.\nAnswer: 9\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6756.\nAnswer: 2, 3, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4581067 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(5\/6)*n)\/(n\/n**(2\/7)))\/(n\/(n*n*n**(-27))*(n*n**(-4\/13)*n)\/n*n*n*n) assuming n is positive.\nAnswer: n**(-15601\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 8, 0 = 2*y - 2*n - 25 - 181. Solve y = -31*g + 16*g for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-4)*6\/(-9). Suppose 3*r = 3*l - 5 - 4, 9 = -4*r + 5*l. Let z = t - r. Solve z*o - 9 = 6 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) -0.1 (c) -2\/7 (d) -1\/13 (e) 2\/179\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17281 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, f: 8, k: 5}. What is prob of sequence klf?\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 6) in base 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*f + 3*z + 11, 4*z + 3 = f. Suppose f*n + 41 = 53. Solve -n*u + x + 2 = -2*x, -u - 4*x = -10 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 - 6*t**2 - t + 6. Give r(7).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22 and 473?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-9) + 1166\/(-99). Calculate the remainder when 23 is divided by (-8 + 1)*j\/14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**5 - 3*h**5 + 2*h**5)*(-20 - 25 - 99 - 192).\nAnswer: 672*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 2 - 10. Suppose -3*r - 645 = -3*d, -75 = -5*d - g*r + 1024. Let b = d - 116. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3827?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**2\/2 - 7836*l - 547295\/2 = 0.\nAnswer: -15637, -35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - (-6)\/(-9))*24. Let h be (v\/(-3))\/((-14)\/21). Suppose -h*p + 57 = 7*b - 2*b, -25 = -5*p + 3*b. What is the highest common factor of p and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 442391?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.107 + -1.607. Let u = 0.4 - -2.6. Sort u, 1\/5, l in increasing order.\nAnswer: l, 1\/5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 190 + -953\/5. Let j = 0.2 + -0.3. What is the biggest value in j, 4, s?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 115 by 5.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 51.152 and 0.4.\nAnswer: 20.4608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(108)*-4.\nAnswer: -48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10668947 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 17345.\nAnswer: 8672.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 394a4 (base 13) to base 11\nAnswer: 72926","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 10:39 PM?\nAnswer: 10:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -2*v - 2*v + 124, 5*c = -v + 135. What is the remainder when (-766)\/(-10) - 14\/(-35) is divided by c?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -0.06, -95 in descending order.\nAnswer: 1\/2, -0.06, -95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -135 (base 12) in base 11?\nAnswer: -159","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2896472602?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2440? (a) -4 (b) 5 (c) 5\/3 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5 + (-17)\/3)\/(2\/(-12)). Let g be (-1)\/((-6)\/4*2). Factor 0 + g*c**y + 1\/3*c**5 - 1\/3*c**2 + 0*c - 1\/3*c**3.\nAnswer: c**2*(c - 1)*(c + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2090214.2000033 + 2090206. Let a = g - -8.2. Round a to 6 decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -6 - 520 - 9\/3. Let w = -186 - k. Suppose -6 = 2*y, -3*x + 5*x = -y + w. Does 18 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 g when two letters picked without replacement from {n: 3, f: 2, a: 4, g: 2, p: 1}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2046 a factor of 25587276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (4\/15)\/(2560\/16000)*-15\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -5 and 227.217.\nAnswer: 222.217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 4*x**2 - 16*x - 13*x**2 + 7*x. Let r(h) = 3*h**2 + 3*h. Let a(u) = -4*d(u) - 11*r(u). Factor a(v).\nAnswer: 3*v*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 183 = -3*n, n + n = 2*y + 132. Does 21 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(13) + -2 + (4*(sqrt(52)\/sqrt(4) + sqrt(13)))**2.\nAnswer: 2*sqrt(13) + 830","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41130406 (base 8) to base 12.\nAnswer: -2ab4546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 0*s - 10 = 0. Suppose -s*b - 525 - 435 = 0. Let j = b - -301. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + s)*(3*s**3 + 3*s**4 - 3*s**3 + (34*s + 987 - 987)*(s**3 - 4*s**3 - 2*s**3)).\nAnswer: -167*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hkbiklrbrhkh. Give prob of sequence lbb.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 107\/5 + 4\/(-10). Suppose 3*c + 3*i - 2*i - 23 = 0, -3*i - s = -c. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3439 - 3435. Solve -2 = -2*c + z*s + 16, s - 1 = -5*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 5*a**2 - 6*a + 6. Let k(f) be the second derivative of 0 - 1\/2*f**2 + 1\/6*f**3 + 35*f. Determine 6*k(p) + n(p).\nAnswer: 5*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (89\/5)\/(1 + (-28)\/20) and 79\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 21.\nAnswer: -8.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -3*h + 10. Let m = -3518\/35587 - 12\/1873. Which is smaller: m or h?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -378*l**3 - 2*l**2 + 29*l.\nAnswer: -2268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -91972371530 - -0.1.\nAnswer: -91972371529.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, b: 4, v: 2, o: 1}. Give prob of sequence vv.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - l + 0*l = 92, 251 = 3*r + 2*l. Suppose -m - 5*h = -r, 4*m - 6*h - 436 = -4*h. Does 9 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 212.2248 litres to millilitres.\nAnswer: 212224.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-6)*j)\/j**2)**(-35)*(j\/(j**1*j))\/(j**4\/j*j)*j**(-5\/4)\/j*j\/(j\/(j*j**(3\/7)\/j)) assuming j is positive.\nAnswer: j**(6669\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -540, -1081, -1622, -2163, -2704?\n\"Answer: -541*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 139, 1476, 5121, 12232, 23967?\nAnswer: 41484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**13*(v\/(v\/v**(-3)))\/v*(v\/(v**(-2\/17)*v*v)*v)**(-1\/5) assuming v is positive.\nAnswer: v**(763\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 16 = -29. Find the first derivative of -s*t**2 + 1658 - 1663 - t**2 wrt t.\nAnswer: -20*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*v**2 - 5*v**2 - 16*v**2.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -58*t. Let a(g) = -174*g. Calculate -3*a(r) + 10*h(r).\nAnswer: -58*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14161 - 14158. Factor -98\/5*x**4 + 0 + 88*x**2 - 64\/5*x - 728\/5*x**a.\nAnswer: -2*x*(x + 8)*(7*x - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 AM and 8:13 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 59489 to the power of 1\/2, to the nearest integer?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/3)\/(4\/12). List the prime factors of (-15)\/(-9) - a\/3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.8 - 1.8. Which is the biggest value? (a) -16 (b) 4\/7 (c) i (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -0*b. Suppose 35*a + 27*a = -15 + 635. Suppose b = -a*z - 23 + 683. Is z a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 5*s + 32. Let a be f(-6). Factor 1\/4*x + 1\/4*x**a + 0 - 1\/4*x**4 - 1\/4*x**3.\nAnswer: -x*(x - 1)*(x + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -93 + 137 + 6374*p - 133 + 4867*p wrt p?\nAnswer: 11241","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -4*v**2 - 4*v + 4. Let a(g) be the first derivative of -17\/3*g**3 + 15 + 17*g - 17\/2*g**2. Let y(f) = 6*a(f) - 26*p(f). Give y(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1129967 and -1129967 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 - 116633*m + 583190. What is x(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (64\/(-112))\/((-124)\/(-14)).\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 6)*(14*n**3 + 2 - 4*n**3 + 3*n**2 - 8*n**3).\nAnswer: 6*n**3 + 9*n**2 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.04 - -2.96. Suppose -3*v - 3*q = 24, q = v + 5*q + 20. Let c = 1 + -2. What is the closest to c in x, v, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -55*l**5 - 14902*l**4 + 10*l**3 + 434*l**2 + 11164*l - 9 wrt l.\nAnswer: -3300*l**2 - 357648*l + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -51222 - -3?\nAnswer: -51215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 52757, 64297, 75847, 87413, 99001, 110617, 122267?\nAnswer: 133957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -18*h**2 - 1. Let m(t) be the first derivative of -57*t**2\/2 - t + 3971. What is m(n(k))?\nAnswer: 1026*k**2 + 56","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1846, 1816, 1778, 1732?\nAnswer: 1678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*l = 4*c + 8, 4737*c - 4732*c + 4*l = 41 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 + 9*s**2 + 9*s + 12. Let j be n(10). Suppose j = -2*l + 4*l. Find t, given that -1\/4*t**2 + t - l = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1634\/(-8987))\/(35\/(-22))?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -66.48 + 1.48. Let v = c + 45. Let o = -19.8 - v. Sort o, 22, 1 in increasing order.\nAnswer: o, 1, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -108106.448 to the nearest one thousand.\nAnswer: -108000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Expand 2318*z**2 + 71*z**3 - 2318*z**2 + (-3*z - 3*z + 10*z)*(-z**2 - z**2 + z**2).\nAnswer: 67*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, o: 1, f: 3}. What is prob of picking 1 f and 1 b?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 168*c. Let m(d) = d. Give 392*m(q) - 4*v(q).\nAnswer: -280*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, y: 2, q: 1, h: 1}. Give prob of sequence hqi.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16 (base 7) to base 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 + 4*y**2 + 10. Let w be a(4). Let d be -6 + 8 + (4 - w). Put -28, d, -2 in ascending order.\nAnswer: -28, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = -4*w + 17, 75*w - 79*w - 4*r + 12 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -5389552\nAnswer: -5389551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 + 10*f**2 + 20*f - 6. Let i be j(11). Suppose -459 = -6*k - i. Is 5 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 606*j**2 - 2*j - 253*j**2 + 2*j.\nAnswer: 353*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + -64?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of -171371127 and 132.\nAnswer: -171370995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-104*q**2 + 104*q**2 + 2*q**4 - 2*q)*((4 - 3 + 2)*(q - 1 + 1) + 3*q - q + 0*q).\nAnswer: 10*q**5 - 10*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.8563 - 0.6563. Which is the fourth biggest value? (a) -6 (b) l (c) 1 (d) 0.14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 293, 0.12, 4\/3?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = 5*f + 15, 3*f = -59 + 47 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -5\/4 (b) -43.74 (c) 2\/307 (d) -5 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 24 in 3, -4, -0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 852*j + 6*j**2 + 2*j**2 - 1 + 0.\nAnswer: 8*j**2 + 852*j - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12482101 and 7299.\nAnswer: 811","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**3 + g**3 + 3*g**4)*((g - 2*g + 2*g)*(3 - 1 - 1) - 3*g - 2*g + 3*g).\nAnswer: -3*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((630\/1680)\/((-120)\/3808))\/(42\/(-10))?\nAnswer: 17\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 634317 is divided by 634297.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 7486*d**2. Let f(s) = -s. Give w(f(l)).\nAnswer: 7486*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -218*g**3 + 12*g - 39523 wrt g?\nAnswer: -654*g**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13987574?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -92190 (base 10) to base 7.\nAnswer: -532530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11111 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24339821 = 11*a - 24339557 for a.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10)\/(70\/(-63))*10\/3. Suppose 5*g = 10*g - n. Suppose -g*l = -9*l + 1623. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 9*r + 486. What is the remainder when 178 is divided by h(-45)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 150973325?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2*l + 23. Let r = -21 + 29. Let u be m(r). Suppose -5*p + u*p = 30. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -3*m**3 + 7*m + 2. Let l(o) = o**3 - 3*o - 1. Determine -9*l(c) - 4*y(c).\nAnswer: 3*c**3 - c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -440 + -11003?\nAnswer: -11443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -106\/9 - -1390\/63. Let p = x - 10. Let j = 9540 + -9536. Which is the nearest to 1? (a) p (b) j (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -64*s + 489. Determine a(-9).\nAnswer: 1065","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8635 by -5.\nAnswer: -1727","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8071824?\nAnswer: 2, 3, 337, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23.75 - -27. Let s = -3.417 + j. What is s rounded to 2 dps?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5\/394 or 0?\nAnswer: 5\/394","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 88088481 or 88088482?\nAnswer: 88088481","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -5*z**3\/4 - 95*z**2\/2 + 5*z\/4 + 95\/2 = 0.\nAnswer: -38, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1504331*b**2*f**4 - 9*b**2*f**2 + 15*f**5 - 49374*f + 33 wrt f.\nAnswer: -36103944*b**2*f + 900*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -0*i - 376. Let r = i - -587. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11309*a + 4*a**3 + 11309*a - 4*a**2.\nAnswer: 4*a**3 - 4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 + 19)\/(4 + -3). Let h be 4\/16 + 4 + 76\/c. Let m(s) = 2*s - 18. Let x be m(h). Solve x = -5*d + 2*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1232 and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -469785491\/3427365 - -4\/118185. Let p = 137 + d. Does 0 = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10764 + 10701 + (1 - -51).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2568)\/4708*528\/9?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of -8*w + 4\/3*w**4 + 0 - 1\/20*w**5 + 1\/3*w**3 + w**2. List the prime factors of u(16).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 3*a = 11, p + 3*a = 5*p - 19. Let k be (p\/(-3))\/(2 - (-20)\/(-9)). Factor 21\/4*q + 9\/4 + k*q**2.\nAnswer: 3*(q + 3)*(2*q + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -1, -353?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 2*w + 28 = 0, 192986*o - 192982*o - 59 = 5*w for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2*m**2 - 6*m - 1. Let h(f) = 2*f**2 - 5*f. Give -5*h(u) + 4*k(u).\nAnswer: -2*u**2 + u - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 44533072?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1590 a factor of 720646830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -143\/18 and 57\/308.\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22\/279 or 1?\nAnswer: 22\/279","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -0.11966.\nAnswer: -2.11966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -267*f + 144*f + 4160 = 293*f. Let x(s) = s**2 - 18*s - 19. Calculate x(f).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6204 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 1 = 4*t - 3*y, 0 = 2*t + 3*y - 11. Let z = 55 + -53. Differentiate t + r - 6*r + 2*r + z*r with respect to r.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -2*v - 10. Let z be c(-5). Suppose -2*y + 667 = 3*f - 6*y, z = -f - 3*y + 205. What are the prime factors of f?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 179870, 179902, 179934, 179966, 179998, 180030?\nAnswer: 180062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 372 divide 156024?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12810*j = -12771*j - 429 for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 6793*u + 251694. What is h(-37)?\nAnswer: 353","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 716, 727, 758, 821, 928, 1091?\n\"Answer: 2*b**3 - 2*b**2 + 3*b + 713","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-1*1*sqrt(72)*1 + -5).\nAnswer: -12*sqrt(2) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of 5*s**8\/14 + s**7\/21 - 959*s**4\/6 - 8*s - 12. What is the third derivative of t(v) wrt v?\nAnswer: 2400*v**3 + 120*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 51602773 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26.49 + 0.99. Let z = v + 26. Let g(q) = -q**2 + 5*q - 2. Let f be g(6). Put f, -0.5, z in ascending order.\nAnswer: f, -0.5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = u - 26. Suppose 4*c - c = u. Solve -20 = 4*h - c*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 239 = 4*i, 3*p + 0*p - 706 = i. Let s be 5\/(1\/(-6)*-5). Let u be (s\/(-12))\/(2\/(-188)). Calculate the highest common factor of p and u.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (3 - -7) + -9.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 3 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10938176 - 7708560 + 9099931 = 111*c. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 2 = -2*d, -2*t + 6*t - 19 = -d. Suppose 0 = 3*k + t*v - 19 - 41, 5*k - 100 = -4*v. Let c = k + -22. Is -4\/7 at least as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17 is divided by -2 - (3 + -10 + 4) - -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -93045, -186084, -279125, -372168, -465213, -558260?\nAnswer: -651309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 50, 100, 150, 200?\nAnswer: 250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -7 - -8 - (3 + (2 - 2))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((481\/91)\/37)\/(-1)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 1:29 AM?\nAnswer: 8:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*u + 6. Suppose 0 = 5*s + 5*x - 3*x - 78, -2*s = x - 31. Suppose -a + s = -0*a. What is the smallest common multiple of u and a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/40 - -2*(-4)\/32\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.9268 to 1 dp.\nAnswer: -4.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -4, -46, -4\/9, -1, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-102)\/18 + 5)*-9. Suppose -q*g = 4*g - 1560. What is the highest common divisor of 52 and g?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 - 2*l. What is k(5)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -27171 and -4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10.967433642893 + 0.54.\nAnswer: 11.507433642893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -2*y**3 + 31*y**2 - 51*y + 27. Let i(j) = j**3 - 3*j**2 - 2*j - 1. Let r(o) = i(o) + q(o). Factor r(w).\nAnswer: -(w - 26)*(w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bhhhhbhvbbbv. What is prob of sequence bh?\nAnswer: 25\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 128*i - 55*i**2 - 278*i + 146*i in the form g*i**2 + z + q*i and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*z = -30*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -164 and -5.\nAnswer: 820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 k, and 1 t when three letters picked without replacement from tkkyykyykkttttt.\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2901999 + -1\nAnswer: 2901998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 75 - 73. Let f(z) = z**2 + 2*z + 4. Let o be f(-2). Let m(j) = -j**3 + 3*j**2 + 7*j - 9. Let s be m(o). Solve -d = 5*w + s for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/2*(-730)\/(-1825)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 1740.\nAnswer: -1\/870","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (29\/29)\/((-2)\/(-4)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.18 less than -1081389?\nAnswer: -1081389.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-108)\/(-9)*1\/4. Let t(r) = -2*r**3 + 5*r**2 + r - 3. Let o be t(4). Let d = -27 - o. Solve -7*u - d = -b*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1107598?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3, 22, 55, 108, 187?\n\"Answer: z**3 + z**2 + 9*z - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 721 a factor of 20788593?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -122029873, -244059746, -366089619, -488119492, -610149365, -732179238?\nAnswer: -854209111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*w + 11 = -145 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 2*u = -1255. Let z = -57 - -66. Suppose -z*m - 17 = -u. What is the remainder when 101 is divided by m?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8064 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a + 7. Let w = -19 - -27. Suppose w = x + x. Suppose 0 = y + y + x*g + 18, 0 = -3*y - 2*g - 19. Calculate f(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 192\/108 + (-4)\/(-18). Suppose -d*o + 8*o - 1074 = 0. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 144*y**3 + 2*y**2 - y. Let t be j(1). Let v = t - 1594\/11. Let o = -6 - -5.6. Which is the third smallest value? (a) -5 (b) v (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 3:15 AM?\nAnswer: 12:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 - 7*b - 7. Let r be s(8). Let a be (r - 2 - 1) + 3. Find the common denominator of (-51)\/(-22) - (-2 + a) and -5\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -50, -5, -3, -1, 43, 341 in increasing order.\nAnswer: -50, -5, -3, -1, 43, 341","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3 - 248*i**2 + 7488*i - 64512.\nAnswer: 2*(i - 84)*(i - 24)*(i - 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2f - 5?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 13, 154 in increasing order.\nAnswer: 2, 13, 154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 368 + 323 = 104*j - 453 for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9813, 9854, 9909, 9978, 10061, 10158?\nAnswer: 10269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22 - -110000020001?\nAnswer: 110000012202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79384 is divided by 621?\nAnswer: 517","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-1\/3)\/n)\/n**5)\/((n**1\/n)\/n*n)**(-13\/4)*(n\/(n\/(n*n**(-4\/11))*n)*n\/(n*n\/n**(-7)*n))**2 assuming n is positive.\nAnswer: n**(-794\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 23686573 divided by 1029851\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 128 - 126. Solve -v = -r*p + 13, 0 = -2*p - 2*p + 5*v + 41 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 3*y**2 - 2*y**3 - y - 4*y**2 + 5*y - y**2 = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (100\/525*3)\/(2\/(-2)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/((-24)\/(-10)))\/((-39)\/(-156))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1512*v = 1515*v - 12. Solve -8*i + 6*i + 20 = -3*o, -o + v = 2*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 16335*d**4\/2 - 74151*d**3\/2 + 34665*d**2\/2 + 2307*d\/2 + 18 = 0.\nAnswer: -1\/33, 3\/5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*o - 6 = -27*o. List the prime factors of (1 - -58) + (12\/o - 2).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 823?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 - 6*h**2 + 51*h + 8. Calculate l(-10).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 4*y - 15, -25 = -7*d + 2*d - y. Suppose d*o = 3*t - 50533, 84201 = 5*t - 0*o + 2*o. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -873752 and -873752 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 70 - 31. Let c = 39.000041 - f. What is c rounded to 5 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4444144.\nAnswer: 2, 37, 7507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, -10, -2, 22, 68, 142?\nAnswer: 250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11063208, -22126358, -33189518, -44252694, -55315892, -66379118, -77442378, -88505678?\nAnswer: -99569024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -148 - -9?\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b**2 + 43*b - 2. Suppose 0*s - o = 5*s - 128, -2*o - 94 = -4*s. What is the remainder when s is divided by g(-22)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 2*m + 10 = -169, -5*m = 2*l + 60. Let i be 3*(l\/15)\/(-7) - 1. Solve i = -5*h + 3*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6716218 equal to 6716218?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -2 - (15 + -12)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 PM and 11:11 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -6\/319 and -46\/55.\nAnswer: 1595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -31*u + 229. Let h be c(7). Suppose -h*b = -42*b + 58080. What is the thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 1)*(-4*k**2 + 0*k**2 + 2*k**2) + k**2 - 4*k**2 - 4*k**2 + (-2*k + 5*k - k)*(2*k - 4 + 4).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 2:17 PM?\nAnswer: 12:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 29 + 31 = -r, -5*r - 25 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 plus 0.02?\nAnswer: 5.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-3)*(-24)\/(-16). Let i be 1\/(((-6)\/(-34))\/(-3)). Let s = t - i. Is 9 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2818861 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2070624?\nAnswer: 2, 3, 21569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1144?\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3 and -3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 4*b**2 + 3*b - 2. Suppose -43*k + 41*k = -t + 9, 2*k + 10 = 0. Let y(i) = i - 1. Give t*o(x) + 2*y(x).\nAnswer: -4*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30376418 to the nearest integer?\nAnswer: 5511","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 9:52 AM?\nAnswer: 2:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of j*n**2 - 668*j*n - 206*n**2 wrt n?\nAnswer: 2*j - 412","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -45377 + -12082. Round b to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255673382 to the power of 1\/2, to the nearest integer?\nAnswer: 15990","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-5*-2*sqrt(1100) + (sqrt(1100) - (sqrt(1100) + -1 + sqrt(1100) + sqrt(1100)))*4)*1 + (-1*sqrt(1100)*1 + 1)*-4)**2.\nAnswer: 237600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -25*t**2 + 1567*t - 152107. Let b(m) = -128*m**2 + 7836*m - 760536. Let z(n) = -7*b(n) + 36*y(n). What is d in z(d) = 0?\nAnswer: 195","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 394 - 397. Put -5, -2, a in decreasing order.\nAnswer: -2, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l - 4 + 4)*(l - 2*l + 0*l)*(1 + 2*l + 2 + 9) + (-l - 1 + 1)*(l**2 - 4*l**2 + l**2) + l**3 + 2*l**2 - 2*l**2 + 2*l**3 - 5*l**3 + l**3.\nAnswer: -3*l**3 - 24*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2702 and 28178.\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 30 + 70. Suppose 5*z + 40 - l = -4*q, 3*q - z = 26. Let d = q + -6. Solve 4*t - 11 = -d*f + 5, 5*f = -3*t + 10 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 787*n - 714*n = 0. Solve 0*d + 18*d + 28*d = n for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 934597 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z - 16 - 14 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2329 - p - 4648 + 2317. Calculate r(8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y + 9. Let r be v(6). Is 145 - (-7 - (-6 + r)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one quarter of a century?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -32*y**2 - 8*y + 2. Let x(s) = 92*s**2 + 21*s - 5. Let r(z) = 24*d(z) + 9*x(z). Let u(k) = -61*k**2 + 4*k - 4. Determine -4*r(i) - 3*u(i).\nAnswer: -57*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of -2*d**5\/5 - d**3 - d**2 + 40*d - 29. What is the second derivative of x(c) wrt c?\nAnswer: -24*c**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -35*k**2 + 13*k + 1. Give y(1).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 - (-5 + -2 + 0). Suppose 0 = -2*k + i*k - 135. Calculate the highest common divisor of k and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -9*l - 3. What is y(7)?\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1029*n - 4*n**3 + 2*n**3 + 432*n + 106*n to z*n**2 + s + g*n + c*n**3 and give g.\nAnswer: -491","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.08 - 1532620.6192.\nAnswer: -1532620.5392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 92656 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(5\/2*(-6)\/(-15)). Let r(c) = -3*c - 6. Let u be r(-4). Find the second derivative of -3*b - 17*b**2 + 3*b**2 - u*b**a + 14*b wrt b.\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.091 - 3.091. Let q = -17 + 20. What is the nearest to -2\/7 in q, s, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -90.24 + 90.74. What is the nearest to -0.2 in b, 2\/9, 5, -0.078?\nAnswer: -0.078","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**4\/r*r*r**(-5))**49 assuming r is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1351, 997, 663, 343, 31?\nAnswer: -279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1591?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*m**4 + 31 - 31)*(-5 + 1 + 5) + 2*m**4 + m**4 + 4*m**4 + (m**3 + 4*m**3 - 3*m**3)*(4 - 4 + m) - 3*m**4 + m**4 - 5*m**4.\nAnswer: -7*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.4 - 0.2. Let a = 179534 - 179538. What is the third biggest value in -0.21, a, g, 0?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.6 - -0.6. Let p = -3.3 + b. Let y = p + 1.1. Is y bigger than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -3, 0.3, 0.1, 9361 in descending order.\nAnswer: 9361, 0.3, 0.1, -0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 19545?\nAnswer: 1\/3909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 20062, 20067, 20074, 20083, 20094, 20107?\n\"Answer: c**2 + 2*c + 20059","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20236020 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3294*z**3 + 6587*z**3 - 3294*z**3 - 3929*z + 3929*z.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1382 and 6265297?\nAnswer: 691","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 353716 is divided by 176856?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 18845 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*m**2 + 1 - 1 + (-2*m - 1 + 1)*(-2*m + 0 + 0) + (0*m + 4*m - 3*m)*(-4*m + 2*m + 4*m).\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 8, r: 2}. What is prob of picking 2 t?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 19 - 1?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-27)\/18)\/(-1*(-15)\/(-40))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 169372680 to the nearest one hundred thousand.\nAnswer: 169400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73 - 5*l + 72 - 241 + 42 + 54.\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -292567\/14 - -20883. Let w be (-31245)\/(-2478) + -2 + 4. Let v = w + j. Is v not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20744720 is divided by 143?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r + 2*r + 7*r + 2*r - 12*r.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 3*v**2)*(-8*v + 3*v**2 + 8*v)*(-2 + 1 + 0)*(-2 + 2 - 3).\nAnswer: 27*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -2\/82245?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27 and 117?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9.071 + 0.071. What is the closest to y in -5, -1\/9, -1\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1037.251083 to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 - 7*h**2. Let a(q) = 5*q - 11. Let k be a(10). Let m = k - 46. Calculate d(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 a factor of 468?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(34) + 1*sqrt(1666))\/((-2*sqrt(4))\/sqrt(2)).\nAnswer: -4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 59.1946 millilitres in litres?\nAnswer: 0.0591946","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, h: 1, u: 1}. Give prob of picking 1 u and 1 j.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11406*m**3 + 22794*m**3 - 11394*m**3.\nAnswer: -6*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -173 + 315. Let g = -99 + o. Suppose -4*c + g = -329. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1702*z - 1702*z + 927*z**2 + z**5 - 725*z**4 wrt z.\nAnswer: 60*z**2 - 17400*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24800485 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w - 2*w. Suppose m + w*m - 2 = 0. Solve m = -0*a + 2*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*v - 49*v - 23*v)*(-4 + 2 - 1)*(v - 7*v + 2*v).\nAnswer: -720*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 f when three letters picked without replacement from mffkoomemfrrrffefmff?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1501315241 minus -10.49?\nAnswer: -1501315230.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/38*456\/(-2565)?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*r**3 + 2240181585*r - 2240181585*r.\nAnswer: -6*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 298764076?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 385*(7462\/(-455))\/82.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (29 - 71) + -37 + 32 + 4?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.216? (a) 0.5 (b) -1\/167 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*a - 69*a + 94 = 0. Solve -21 = -y + a*m - 7*m, 3*y + 2*m - 11 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 100 - 40. Let o = q + -60.00000365. Round o to seven dps.\nAnswer: -0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2283, -4898, -11991, -25800, -48563, -82518, -129903, -192956?\nAnswer: -273915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 250359741 to the nearest integer?\nAnswer: 15823","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + -2 + 3 - (-33 + (-7 - -10))?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 28251993?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*b**3 - 9*b + 9*b - b**2.\nAnswer: 4*b**3 - b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 847420?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -362*h. Let y(j) = j. Calculate y(s(g)).\nAnswer: -362*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 876 and 2774?\nAnswer: 16644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25 + -25. Let g be r*5\/((-10)\/1)*-2. Let v be ((-14)\/4)\/((-2)\/4). Solve -3*h - 5*l - 21 = g, -l = -5*h - 0*l - v for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -140333255 (base 6) to base 11.\nAnswer: -1661241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 30 = 3*x - 0*r, 3*x + 2*r - 27 = 0. What is the second derivative of -5*f**2 - 6*f**2 + f + x*f**2 wrt f?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(51286\/(-12822) - -4). Suppose -4*m - 4*n = -8516, -3*m + 0*m + w = -3*n. Let l = m - 12745\/6. What is the common denominator of l and 7\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 6*z**2 - 4*z + 203. Let b(s) = -s. Let o(d) = a(d) + b(d). Differentiate o(k) with respect to k.\nAnswer: 12*k - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-201*w + 201*w - 19*w**2)*((1 + 6 - 3)*(-5*w + 2*w + 5*w) - 38*w + 128*w + 41*w) to the form j*w**3 + y*w + d*w**2 + x and give j.\nAnswer: -2641","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3324900 and 80.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 4*v - 649, 21 = -w + 20. Let z be 7 + v\/(-24)*1. Let -1\/4*g - 1\/2 + z*g**2 = 0. What is g?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-7)\/(-14))\/((-3)\/102). Let l(k) = k**3 + 18*k**2 + 11*k - 10. List the prime factors of l(t).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 8:51 PM?\nAnswer: 6:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110210212 - -1221220220?\nAnswer: 1111010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 89 and 7031.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -16 + -135?\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-55)\/(-22)*144\/15. Solve 0 = -4*w + r - 36 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 1)*(4 - 3 - 2)*(-3*s**3 + 8*s**3 - 2*s**3).\nAnswer: -6*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -74\/15, 3\/11, -2\/13?\nAnswer: -74\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 400066 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7947?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-70))\/((-45)\/(-630))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -169, -22425, 9 in descending order.\nAnswer: 9, -169, -22425","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (19 + -39 - -22)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -31 + 36. Let a be (-4)\/6 + (-60)\/(-9). Let h be (-8)\/a + 10\/y. Are 2 and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hbjivhy. What is prob of picking 1 v and 1 j?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 505 by -1.\nAnswer: -505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4781 is divided by 1049?\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 182549 = 10163. Let n = k - 81278. Round n to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5735)\/775)\/((-2*(-4)\/14)\/(70\/49))?\nAnswer: -37\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.015046 or 0.0666?\nAnswer: 0.0666","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1280793 to the power of 1\/2, to the nearest integer?\nAnswer: 1132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 3*a = 4, -s - 26*a + 13 = -22*a. Let q = -83 + 85. Let x = 2369\/16 + -148. What is the nearest to x in s, q, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 627476959 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6637 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -37838318 > -37838312?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -97\/140 - 2\/35. Let q = 52 - 52. Does q = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -5\/2 (b) 0.2 (c) 9 (d) 2\/7 (e) 6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 629.\nAnswer: 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4\/3 (b) -22 (c) 4 (d) 0.21 (e) -7.455 (f) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 3*d**5\/4 - 2001*d**4\/4 - 80496*d**3 - 3922644*d**2 - 62180448*d = 0.\nAnswer: -53, -44, 0, 808","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.046 - 0.386. Let t = o - -0.04. What is the third smallest value in 4, t, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(140)\/sqrt(4)*6)\/sqrt(5)*2 + -3*(sqrt(175) + 3 + 1))**2.\nAnswer: 72*sqrt(7) + 207","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/((-360)\/(-16767)) - 2\/(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10)\/4*(-10)\/(-100). Put -0.37, -2\/9, j in descending order.\nAnswer: -2\/9, j, -0.37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 + 115*v - 109*v - 5*v**2 - 450 + 447. Let t = -8 + 5. Let c be t\/(-9) + 19\/(-3). Give n(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6734 at least as big as -252?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(18))**2 + sqrt(2) + sqrt(10)\/(sqrt(30)\/sqrt(6)))*-1.\nAnswer: -22 + 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 103161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*l + 2*l + 539. Let u = 182 - l. Suppose -3*n - h + u = -4*h, -5*n + 184 = 4*h. What is the least common multiple of n and 3?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -705 + 395. Let o = 309 + n. Does -11.8 = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 494497 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -w**2 + w**2 + w**2 + (-10*w + 15*w - 12*w)*(5*w - 6*w - 35*w) to d*w + x*w**2 + l and give x.\nAnswer: 253","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2232097, 4464936, 6697787, 8930656, 11163549, 13396472, 15629431?\n\"Answer: p**3 + 2232832*p - 736","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1678 (base 11) in base 4?\nAnswer: -201132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1777, -1783, -1793, -1807, -1825?\n\"Answer: -2*m**2 - 1775","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 5:44 PM?\nAnswer: 10:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*0*3\/(-6). Suppose -3*q + 2*o + z = -7, -5*q + 17 = 2*o. Find the second derivative of 2*h - 2*h - q*h + h**5 wrt h.\nAnswer: 20*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 6:23 PM?\nAnswer: 8:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*x - 2)*(178*x**2 + 3228*x**3 - 6473*x**3 + 3235*x**3).\nAnswer: 20*x**4 - 356*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -8958.\nAnswer: -35832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003331497 rounded to seven dps?\nAnswer: 0.0000333","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/((-32)\/(-6))*214\/5136.\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -3*g**2. Let c be f(2). Let q = -2156811\/277018 - -2\/19787. What is the common denominator of (-51)\/c + (-1)\/(-4) and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 468558360?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -4. Let q = -1 - 0. Let k = p - q. Solve -6*u + 2*u - 4*w - 8 = 0, k = 4*u + 5*w + 9 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 85*m**2 + 8*m + 104. Let q(p) = 29*p**2 + 3*p + 35. Determine -8*q(w) + 3*u(w).\nAnswer: 23*w**2 + 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.19 * 0.08\nAnswer: -0.0152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0034408866 to four dps.\nAnswer: -0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*q**3 + 3*q**3 - 2*q**3)*(65*q - 19 + 19) in the form h*q**3 + a + b*q**4 + z*q + r*q**2 and give b.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*z**2\/4 - 85*z\/4 + 289\/2 = 0. Calculate z.\nAnswer: 34\/3, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 2*z + 610 = j, 1530 = 5*z + 5*j. Suppose -m - 8*k = -3*k - 80, -5*m + z = k. Is m a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 980638 (base 10) to base 4.\nAnswer: 3233122132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of 4661*d**5\/5 - 3636*d + 7164. What is the first derivative of p(g) wrt g?\nAnswer: 18644*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-4)\/(-18) + 7864945\/495?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.5299893 and -4.\nAnswer: -3.4700107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -44*j**4 + 4058 wrt j?\nAnswer: -176*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 123 = -202. Let b = f + 60. Let h = b + -31. Does 25 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 3176 = -13*x + 17*x, 5*x + 2390 = 3*f. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(1764))\/(sqrt(12) + 4*5*sqrt(12) + sqrt(12)))**2.\nAnswer: 147\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v - 1. Suppose 3*h + d - 13 = 0, -2*h + 2*d = -0 + 2. Let k(l) = -l + 1. Let y(u) = h*k(u) + r(u). Differentiate y(w) wrt w.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5bed (base 15) to base 9.\nAnswer: -28757","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2000221 + -20?\nAnswer: 2000201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 6131, -3 in descending order.\nAnswer: 6131, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4.025, -137, 12 in descending order.\nAnswer: 12, -4.025, -137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -9, -0.4, 866 in decreasing order.\nAnswer: 866, 0.2, -0.4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 468 is divided by 446?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -47 + 62. Suppose -x*m = -4*m - 968. What is the remainder when m is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 620 - 8223396613.\nAnswer: -8223395993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -12, -7, -6, -15, -40, -87, -162?\n\"Answer: -h**3 + 4*h**2 - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 612 and 34?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -6*u + 17. Suppose -p = -3*p + 3*v + 19, u*p = -5*v - 15. Let w be p + (-16)\/12 - 80\/(-6). What is the highest common factor of w and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) - 4*sqrt(2448)) + sqrt(1700)*1 + (sqrt(51) - 6*sqrt(102)\/sqrt(2))\/((sqrt(6) - -2*sqrt(6))\/sqrt(2)))*6.\nAnswer: -232*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 521885111 and 14622.\nAnswer: 521899733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 c, and 1 u when three letters picked without replacement from caruucctucc?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*s + 385 = 41*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -13 + 19 + 1 + (-1 - -6)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10994 - 10994. Solve 25\/2*x**3 + k - 85\/2*x**2 + 15*x = 0.\nAnswer: 0, 2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 PM and 11:26 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 502.62 - 479. Let f = 0.38 + v. Let q = -23.9999948 + f. What is q rounded to six decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12.3 + 17.5. Let y = z + -4.7. Let p = -10 + 6. Is p < y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 76 and 247.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20020 a multiple of 140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -3\/8 (b) 1 (c) -10\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 PM and 11:31 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 13 + 10 = -3*u, 3*u = -4*s + 17 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.145017 - -0.642613. Let d = n - 2.367496. Let x = d + 1.58. Round x to 5 decimal places.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**2 + 9626*m + 4812.\nAnswer: 2*(m + 2406)*(2*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttxxqqxttaaxxqttxtt. What is prob of picking 1 a and 1 t?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 5*d**2 - 923315*d - 2769990 = 0.\nAnswer: -3, 184666","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2 and -55163.9?\nAnswer: 55161.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -3*n + 597. Let k = n + -112. What is the remainder when k is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*d + 4*d - 149 = 3*u - 46*u - 31, -2*u = 2*d - 20 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 1*sqrt(1331).\nAnswer: -1 + 11*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 11*o**3 + 25*o**2 - 3*o + 8. Let i(q) = 9*q**3 + 19*q**2 - 2*q + 9. Let h(f) = -4*b(f) + 5*i(f). Calculate h(5).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -217 * -0.4\nAnswer: 86.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 4 = -2*p. Suppose 9*m + 2*m + 330 = 0. Let d = m + 38. Calculate the highest common factor of d and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 3*g = -13, 3*j = 2*j + 2*g - 4. Suppose -2*l + 4*i = -6, 5*i + 0*i - 75 = -5*l. Suppose 4*f - l = 9. Sort j, f, 4.\nAnswer: j, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 + 22\/(-4))\/(35*32\/(-112))?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 4. Let z(u) = 9*u**3 - 4*u**2 + 3*u - 2. Let n be z(2). Calculate the smallest common multiple of 1\/((-3)\/n*-2) and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19092050.\nAnswer: 2, 5, 381841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 13474 (base 8) to base 14\nAnswer: 224c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -8*w + 457. Let u(f) = f. Calculate u(d(l)).\nAnswer: -8*l + 457","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.4 - 195.\nAnswer: -197.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (28 - 84)\/392 - 10*(-23)\/42. What is m in -2\/3*m**4 + 0 - 8\/3*m - 10\/3*m**3 - x*m**2 = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, 2, -35 in decreasing order.\nAnswer: 5, 2, 1, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -30*b - 7. Let h(v) = 29*v + 6. Determine 7*h(j) + 6*q(j).\nAnswer: 23*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = 3*i + 4*l - 125, -l = -4*i + 173. Let w = i - 39. Suppose -4*b + 4 + w = 0. Solve 0 = 4*u - 3*m - 6, m + b = -u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -93.2467 rounded to 0 decimal places?\nAnswer: -93","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -264*t + 225. Let u be -2 + -7 + 5\/1. Let h(f) = -33*f + 28. Let b(j) = u*c(j) + 33*h(j). What is the first derivative of b(g) wrt g?\nAnswer: -33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -104.25132128 - 0.022.\nAnswer: -104.27332128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -65 (base 12) in base 4?\nAnswer: -1031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -67 + 122. Suppose -g - s = -52. Let m(i) = 6*i**2 + 4*i. What is the remainder when m(g) is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5748 = -349*o + 534 for o.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 6) in base 12?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152*r + 173*r + 104 = -1 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7960.79 - 7883. Let a = -2.49 + o. Round a to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (-1 - -13) + 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 + 31. Let z be q(0). Suppose c + 3*m = -4*c + z, 4*c - 30 = -5*m. Factor b**3 + 8*b**3 - 4 + 4*b**2 - 4*b - c*b**3.\nAnswer: 4*(b - 1)*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6197 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -402 + 226. Let x = 558 - k. Does 27 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13184 and 5562.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 e when two letters picked without replacement from eeqaaeaeaageaaag?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*q - 3*q + 630*q**3 - 647*q**3.\nAnswer: -17*q**3 + q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -6*3*4\/(-48)*(-39 + 45). Solve -z*g - 4*f - 1 = 0, 7*g - 9*g = 2*f - 2 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (160\/(-10))\/192*(-16)\/6\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - q - 102, o - 46 = -o + 3*q. Let h(u) = 5*u - o*u + 2 + 7*u + 6*u. Let l(z) = 6*z - 2 + 3 - 7. Give 10*h(f) + 3*l(f).\nAnswer: -2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-26 + 22)*21\/(-4). Solve -9*d + 2*d = f for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 11, 8, -96, 0, -4 in decreasing order.\nAnswer: 11, 8, 4, 0, -4, -96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of -o**5\/60 + 11*o**4\/12 - 7*o**3\/2 - 6*o**2 + 49*o. Determine m, given that v(m) = 0.\nAnswer: 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 q when three letters picked without replacement from {q: 7, n: 6, y: 1, o: 3}?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 3990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -262, -527, -802, -1093, -1406, -1747?\n\"Answer: -b**3 + b**2 - 261*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.047 + 0.317. Let x = 0.11 - r. Let c = 5573 + -5573.2. Sort -1\/2, x, c, 5 in ascending order.\nAnswer: -1\/2, c, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddw when three letters picked without replacement from {d: 4, y: 4, w: 12}?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -57 - -102. Let q be 14\/(-5)*w\/(-18). Suppose q*o - 276 = 144. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12115?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 602 + (-6)\/(-8)*4. Suppose 3*o + 4*x = 1618, -o = 2*x - q + 67. What are the prime factors of o?\nAnswer: 2, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.1 (b) 0.3 (c) 70\/3 (d) 2 (e) 0.5 (f) 0.1624 (g) -1\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -33*j**3 - 5*j**2 - 7. Let h(p) = 50*p**3 + 7*p**2 + 10. Let q(w) = -5*h(w) - 7*y(w). Let c be q(1). Is 6 a factor of (-370)\/c + 1\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 h when four letters picked without replacement from hhhwhqww.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (15\/(-2))\/((-3)\/24) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.1729713*-0.5\nAnswer: -1.08648565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 6*h**2 + 3*h + 2. Suppose -4*x - 6*q - 23 = -q, x - q = 1. Let y be s(x). Let m = 0 + y. Solve m = -g - 3*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 27.34 and -2.74?\nAnswer: -74.9116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 AM and 2:29 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 7.15 and 0.02?\nAnswer: 7.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 + -12. Let x = -1 - 1. Let h(d) = d**3 - 7*d**2 + 5*d + 8. Let t be h(6). Sort x, t, f in descending order.\nAnswer: f, t, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3933 - -133. What are the prime factors of m?\nAnswer: 2, 19, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j**2 - j**2 - 5*j**2)*(12*j**3 - 6*j**2 - 13*j**3 + 25 - 26).\nAnswer: 2*j**5 + 12*j**4 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 822132?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4755 is divided by 1581?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = y - 4. Suppose -4*o + 3*f = 165, 4*o = 8*f - 6*f - 166. List the prime factors of -1*y\/(8\/o).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 508 divide 622776526?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -4*y**3 - 4*y**2 + y + 9. Let r(d) = 8*d**3 + 9*d**2 - d - 19. Let t(c) = 4*r(c) + 9*s(c). Let n(q) = q + 1. Determine 5*n(m) - t(m).\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of -b**2 + 24*b - 189. Let m(s) = 2*s**2. Determine m(w(p)).\nAnswer: 8*p**2 - 192*p + 1152","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*r**2 - 161216 + 80615 + 80601 - 4*r**2.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2*p. Let i(x) = -12*x + 12688. Give i(k(c)).\nAnswer: -24*c + 12688","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3199.9994839 + 3200. Round q to five decimal places.\nAnswer: 0.00052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, 30, 79, 148?\nAnswer: 237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7341089.\nAnswer: 7, 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -7)\/5 - 9\/6.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 43979700 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/b**(-17)))**(1\/2) assuming b is positive.\nAnswer: b**(-17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -249*i - 193*i + 13260 for i.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.27113 centuries in decades?\nAnswer: 272.7113","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*f - 6256234 + 6257258 = 0 for f.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 + 54*s**2 - 107*s - 92. Let t be q(-43). Calculate the greatest common divisor of 16 and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 9*z**3 - 3*z**2 - 7*z + 15. Let k be s(3). Let w be ((-36)\/2)\/(k\/(-12) + -2). Which is smaller: w or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 52815 and 1533.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -65 + 14 + 78 + 33.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 - 2*l**2 + l - 6. What is w(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 84 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 7*t**2 - 7*t + 15. Let j(u) = -3*u - 8*u + 12 + 10 + 11*u**2. Let r(z) = -5*j(z) + 8*v(z). Is r(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kklkklkkklk. What is prob of sequence lkk?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (0 - 2)\/(-2)*6 and 11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 230 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4324, -17502, -39472, -70234, -109788, -158134?\n\"Answer: -4396*u**2 + 10*u + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 - 4 - (0 - -2). Let s = h + 6. Suppose 3*x = 12, -5*f - 4*x + 7*x + 53 = s. What are the prime factors of f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 590, 595, 600?\nAnswer: 605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3261 is divided by 27 + (-24)\/(-8) + 2.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-966)\/(-28)*(-10)\/45*(-57)\/(-19)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -492207 - -492207. Solve h + 2\/5*a + 2\/5*a**2 = 0 for a.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 831 + 1?\nAnswer: 832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1270242349?\nAnswer: 1270242349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 124, 0, 2\/11, 2, -0.04, 4, 1.\nAnswer: -0.04, 0, 2\/11, 1, 2, 4, 124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from nuvujtjxtxvtvnxxtu.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from igiiggiiggggogggii.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 569\/68 + -138\/17. Find g, given that -3\/4*g**2 + 1\/2 + 1\/4*g**4 + 1\/4*g**3 - d*g = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, y: 2, w: 1, p: 1}. What is prob of picking 1 r, 1 w, and 1 p?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3140813?\nAnswer: 13, 241601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 180*d**2 - 379*d**2 + 204*d**2.\nAnswer: 5*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12680 and 2561820?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (73*g - 9*g**2 - 73*g)*(3 - 1 - 1)*(18 - 6 + 29).\nAnswer: -369*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 2*b - 3*i - 19, -3*i - 11 = b. Calculate the lowest common multiple of b and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 628860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 + 14 - 2)*((0*d - d**3 + 0*d)*(-d - d + 4*d) + 161*d**4 - 105*d**4 + 258*d**4) to x*d + l*d**3 + s + w*d**2 + b*d**4 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 8:29 PM?\nAnswer: 1:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(108).\nAnswer: -2 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*u**4 - 210*u**3 + 208*u**3 + 2*u**2 - 1 - 17*u**4 to the form j + r*u + m*u**3 + z*u**4 + k*u**2 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 865826 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 4092*w - 4093. Determine p(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -223.8 rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19567 - 39152 + 75*w + 135*w + 19587.\nAnswer: 210*w + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - 2*t + 3062, 3*j = -2*t + 1914 - 80. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 5\/((-75)\/(-36726)) + 30\/(-75)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 4*f**2 - 6*f - 1. Let z be y(0). Put 81.9, z, 0.2 in ascending order.\nAnswer: z, 0.2, 81.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 x when two letters picked without replacement from dxxtxfxfffgff.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of -1\/24*j**4 + 0*j**3 + 3\/2*j**2 - 1 + 0*j. Let r(f) be the second derivative of a(f). Let q(u) = 2*u**2. Calculate r(q(g)).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/6*8\/2. Let p be 4*(-1)\/(-4) - c. Suppose 3*z + p*d + 3 = 0, -4*d - 64 = -5*z - 24. Solve g = -n - 4, -g - 14 = g + z*n for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 687155707 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002379 to six dps.\nAnswer: -0.000238","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5172358.2 and -3933.\nAnswer: 5168425.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 - 2*i**2 + 4*i - 7. Let p be w(-5). Suppose 0 = j + 2*j + p. Which is smaller: j or -15?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 31 and 350?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are 70 and -47 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (36\/28)\/(-3) - 549\/(-7).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24 - (-5 - -3)) + 18?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(88)*5)\/(sqrt(8)*4*4))**2.\nAnswer: 275\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23390036 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(-4) - (-33938)\/55096. Is k less than 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2. Let q(f) = -f + 8*f - f + 4*f. Give q(y(m)).\nAnswer: 10*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.01 (b) -4\/21 (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*y + 2*y - 666*y**3 - 2*y - 26 + y + 24 in the form f + j*y**2 + k*y + v*y**3 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2200, 2222, 2270, 2356, 2492, 2690, 2962?\n\"Answer: 2*q**3 + q**2 + 5*q + 2192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8848 and 910.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-2*-5*(3 + sqrt(7)) + -4))**2.\nAnswer: 13000*sqrt(7) + 34400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 8 = k, -4*k - b = -0*b + 4. Let d = -4 + 1. What is the closest to k in -4\/3, d, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -7*v**3 + 55*v**2 + 62*v - 3. Calculate r(9).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 82764296?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1612537 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**2 + 0*h**2 + 0*h**2)*(-2 - 1 + 1) + 3*h**2 + h**2 - 6*h**2 - 3*h**2 + 3*h**2 + h**2 + (-2 + 2 - 1)*(2*h**2 - 1 + 1) - 4 + 3*h**2 + 4.\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 331656, 1326646, 2984970, 5306634, 8291644, 11940006, 16251726?\n\"Answer: k**3 + 331661*k**2 - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 24 or 2107?\nAnswer: 2107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 368547 is divided by 122826.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142 is divided by 102.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ezm when three letters picked without replacement from kzeszemshez.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 30\/(-25)*60\/(-9). What is the lowest common multiple of 6\/24 - (-110)\/i and 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-142)\/(-78) - 2) + 1\/3.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ckf when three letters picked without replacement from fkfkkkkkffckkfkkff?\nAnswer: 35\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.38979 - 0.08979. What is the nearest to 212 in -4, z, -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -50*k**3 - 2*k**2 + 1. What is the tens digit of c(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-94)\/(-8) - 6\/(-24). Suppose -s = -4*b, 3*s + p = 4*b - s. Let r = 4 + b. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of -3*m**5\/40 + 429*m**4\/8 + 445*m. Suppose h(j) = 0. Calculate j.\nAnswer: 0, 429","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2141 (base 6) to base 11\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8 - 297)*(24 + -5). Is -7 - t - -3*(0 - -1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -19*n**2 - 2*n - 4. Let j be t(3). Let q = j - -285. Calculate the highest common divisor of q and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8725863?\nAnswer: 3, 2908621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 9*d = -25. Suppose 2*q - 357 = -3*t + d*q, 16 = -4*q. Let s = t - 58. What are the prime factors of s?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, 5, -31 in increasing order.\nAnswer: -31, -4, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*g = 90*g - 325 for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - -28. Calculate the remainder when 86 is divided by s.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 6, y: 4}. What is prob of sequence yyyf?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -726 + 394. Let n = z + 380. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 509 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 243 and 18.\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -4*j. Let u(b) be the third derivative of -b**5\/4 + 24*b**2 + 2. What is v(u(l))?\nAnswer: 60*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + 3062?\nAnswer: 3060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*x - 46 + 46)*(x - x - x**2).\nAnswer: -15*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10033 = 2*g + 5*x, 0 = -4*g - 2*x + 5012 + 15046. Suppose 4082 = 8*u - g. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 10) to base 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of -2*g**3\/3 - 7*g. Let a(r) = r. Determine a(k(q)).\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 + 4*t**2 - 5*t + 6. Let k(g) = -g**3 + 5*g**2 - 12*g + 97. Let r be k(6). Let s(d) = -3*d**3 + 11*d**2 - 14*d + 17. What is r*n(y) + 4*s(y)?\nAnswer: -y**3 - y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - ((-10 - -2 - -25) + 13)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 32*v**2 + 13*v - 13. Let g(l) = -15*l**2 - 6*l + 6. Let p(q) = -6*d(q) - 13*g(q). Let w(u) = -12*u**2. What is p(w(o))?\nAnswer: 432*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2387, 2385, 2383, 2381, 2379, 2377?\nAnswer: 2375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, f: 1, c: 6, e: 1}. Give prob of sequence ew.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5733 - -6445?\nAnswer: 512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 357 and 17731?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -52\/9 or 16?\nAnswer: -52\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/12 - ((-7)\/(-4))\/(5 - 4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.11 + 5.89. Let o = y - 6.0064. What is o rounded to three decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 3*p = 10, -3*p + 0 - 6 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -161048\/885 or -181?\nAnswer: -161048\/885","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -11*v**2 + 14*v**2 + 3*v + 4 + 6*v. Let m(w) = 6*w**2 + 19*w + 9. Let n(d) = 9*g(d) - 4*m(d). Find the second derivative of n(k) wrt k.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 186 - 276. Let f = -86 - h. Suppose -4*k - 6 + 74 = 0. Solve o - 2*i = 3*i - k, -5*o - f*i + 2 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*n - 4*n + 3*n + n - n + n + (52 - 17 + 30)*(1 + 3 - 1)*(4*n - n - n).\nAnswer: 394*n","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let g = -19061 + 95306\/5. Which is the closest to 1\/2? (a) g (b) -1\/2 (c) 0.3 (d) -0.31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*y**5 + 0*y**5 + 21*y**5 + (-4*y**4 + 0*y**4 + 7*y**4)*(-25*y + y + 11*y) + 2*y**5 - y**5 - 2*y**5.\nAnswer: -27*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 20151424 (base 7) in base 3?\nAnswer: 10011011122221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 522849, 522885, 522921, 522957?\nAnswer: 522993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 284 divided by 17.\nAnswer: 284\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 15 + 5?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2*q**2 + 4*q - 4. Let f be b(3). What are the prime factors of (84\/30)\/((-2)\/f)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/5)\/(9\/5). Suppose 54*s - 8 = -4*l + 58*s, -2*l = -4*s - 10. Which is the smallest value? (a) i (b) 1 (c) l (d) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 917058 or 1834113\/2?\nAnswer: 917058","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, -1, -46, 5 in descending order.\nAnswer: 5, -1, -2, -3, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 280082476 is divided by 3541?\nAnswer: 3540","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-35))\/(-15 - (-1272)\/84).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32648860 is divided by 4182.\nAnswer: 4168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 21502*z**2 + 11*z - 4. Is k(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of 49*y**6\/2 - 51*y**3 + 56. What is the third derivative of t(q) wrt q?\nAnswer: 8820*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w + 2. Let a be p(6). Let f be 6\/a*-2 - 2. Let b(l) = -42 + l**3 + 3*l**2 - l**2 + 41. What is b(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1309344 is divided by 307?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 326228.8 years to millennia.\nAnswer: 326.2288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 28435 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/(-5))\/(((-4794)\/3995)\/(3\/1))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -4*w + 1. Calculate u(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 17*1*18\/(-6). Let j be t\/(-9) + (-1)\/(-3). Solve -r + 4*m = -17, 2*m - j*m - 15 = r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 4*t + 14 = 0, 0*q + 3 = 3*q - 3*t for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*u = 12*u + 100 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5 + (-4 - -1) + -5. Sort -4, 105, -5, c.\nAnswer: -5, -4, c, 105","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 AM and 10:16 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*d**2 + 0)*(-d**3 + 2*d - 2*d) - 8*d**5 + 75*d**5 - 7*d**5 + 4*d**5 + 3*d**5 - 5*d**5 + (4 + 0 - 2)*(2*d**5 + 4*d**5 - 4*d**5).\nAnswer: 64*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3455634 and 728?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 110908?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 4*((sqrt(1539)*2 + sqrt(1539))*3 - sqrt(1539))**2)*5*6.\nAnswer: 11819430","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5086280 is divided by 1695421.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 5*r = 36, -4*r - 60 = 4*d - 8*d. Suppose 4*s = d*s - 36. Let u(w) = w**3 - 5*w**2 - w - 2. Give u(s).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 760 plus -0.5?\nAnswer: 759.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2. Let i = -1206 - -1205. Let a(s) = 6*s**2 - s + 6. Calculate i*a(o) + 5*q(o).\nAnswer: -o**2 + o - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/2, 0.29, 2, 0.12, -26?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28.9 + 29. What is the biggest value in k, -4, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -3*l**2 - 11*l - 4. Let g = 8 + -11. Let m be x(g). Suppose -5*j - 160 = -m*r, 2*r - 2*j = 4*r - 188. List the prime factors of r.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -32.8 + 240.8. Let x = a + -208.00111. Round x to 4 decimal places.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 448241, 448231, 448221, 448211, 448201?\nAnswer: 448191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 47 + -4758 + 4700\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2222193444?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, 0.1, 4, 35\/2 in decreasing order.\nAnswer: 35\/2, 4, 3, 0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of -4*h**5\/5 + 155*h**4 - 9048*h**3 + 6728*h**2 + 1466*h. Solve a(m) = 0 for m.\nAnswer: 1\/4, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 9. Let d = 4.94 - b. Suppose 35*u - 3*u + 128 = 0. What is the biggest value in u, -5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(17\/(-9) + 2). Suppose -3*o + 6*o + c = 0, 3*o = 5*q - 279. Does 15 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 4*b + 3*b)*(3 - 4 - 6).\nAnswer: -35*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*h + 2*z - 1, -3*z = 3*h - 8*z - 2 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53102470?\nAnswer: 2, 5, 5310247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 51*h**2 - 3 - 15.\nAnswer: 51*h**2 - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2333743 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 41518 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -20321\/4 (b) 0 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 PM and 8:31 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1424 + 2018. What are the prime factors of y?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*g**2 - 46658*g + 11148232 wrt g.\nAnswer: -10*g - 46658","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 5*y - 1. Let i(a) = -291 + 0*a + 294 - 14*a. Calculate -3*i(n) - 8*o(n).\nAnswer: 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v - 2*v + 3*v)*(-2*v + 2*v - 3*v) + v**2 + v**2 - 4*v**2 - 30*v**2 + 16*v**2 + 15*v**2.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 5628, -1, 11, 1\/3, 2\/9, -0.5 in descending order.\nAnswer: 5628, 11, 1\/3, 2\/9, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1898.839 and -0.14.\nAnswer: 1898.699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ru when two letters picked without replacement from {u: 2, y: 1, r: 4, v: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 2 = -2*f, q - 3*f + 0*f - 1 = 0. Suppose -n + 5*l - 19 = 0, -3*n = -0*n - 4*l + 35. Does 25 divide (n + 1)*(-17)\/q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 - 21542463675?\nAnswer: -21542463675.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -1. Let r(v) = v + 4. Let j be ((-3)\/(-2))\/((-4)\/8). What is j*x(n) - r(n)?\nAnswer: -n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5043988*m**3 - 14158913 wrt m?\nAnswer: 15131964*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 + 2)*-1*1. Suppose 0 = -3*o - 12 - 3. Let v be ((-4)\/10)\/((-2)\/10). Sort v, o, s in descending order.\nAnswer: v, s, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 548056.\nAnswer: 2, 68507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 190 - 169. Let o(f) = f - 19. Let l be o(h). Solve 0 = -3*k - 7 - l for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h. Let c = 4 - 1. Let v(r) be the third derivative of -1\/24*r**4 - r**2 + 0 + 0*r + 0*r**c. Determine j(v(l)).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -52*q**3 + 40 - 2*q + 3*q**2 + 12*q**3 + 16*q**3 + 25*q**3 as c*q + u*q**2 + k*q**3 + d and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46584037.\nAnswer: 3413, 13649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 12:40 PM?\nAnswer: 3:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2263311807?\nAnswer: 3, 41, 18400909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6196.35 + -6345. Let n = a - -133. Let w = 0.15 - n. Round w to zero dps.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -330*x - 2610. Determine c(-8).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.0534 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*(-6)\/(3\/(-1)). Solve -3*h = 4*g + k, -h + 0*g = 2*g + 2 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 197 divide 842712?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 4*g + 114, -2*g = 4*l - 3*g - 396. Suppose 0 = 93*k - l*k. Factor -1\/6*w**2 - 1\/6*w**4 + k*w + 0 - 1\/3*w**3.\nAnswer: -w**2*(w + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 263007571 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a. Let g(y) be the third derivative of -y**4\/24 + y**3\/6 + 2*y**2. Let t = 6 + -5. Let f(s) = 6*s - 4. Let d(p) = t*f(p) + 4*g(p). Determine d(z(u)).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 315 + 101 = 4*i. Factor 3950*p - 564*p**4 + 560*p**4 - 960*p**2 - 4096 + i*p**3 - 366*p.\nAnswer: -4*(p - 8)**3*(p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -97 + 68 + 35 - ((2 - -1) + -15).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 846*t**3\/11 - 3386*t**2\/11 + 2546*t\/11 - 6\/11 = 0.\nAnswer: 1\/423, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (8\/(-6))\/(4\/(-18)). Let j(p) = -p + 1. Let l(b) = 7*b - 15. Let z(n) = -6*j(n) - l(n). What is z(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 259 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c**3 - c**3 - c**3)*(5*c**2 + 30*c**2 + 2*c**2) - 4*c**5 + 5*c**5 + c**5 - c**5 - 1 - 1 + 3.\nAnswer: 75*c**5 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 5*i = -10*a + 210, 0 = 2*a - i - 93. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + 0 - 0 - 3. Let w be (-351)\/21 - m\/(-7). Let c = -9 - w. Is c a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17487028*f**2*r**2 + f**2*r - 9585947*r wrt r?\nAnswer: 34974056*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*v - 155*v + 1755 = 0 for v.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -145 = -204*p + 59. Which is greater: 3.435 or p?\nAnswer: 3.435","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**3\/9 - 16136*v**2\/9 - 643040*v\/9 - 713600.\nAnswer: -2*(v + 20)**2*(v + 8028)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 + 10*m - 236. Determine c(28).\nAnswer: -740","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -12*l - 4. Suppose -46*v - 37 = -41*v - 2*w, -30 = 4*v - 2*w. Let a(z) = -24*z - 9. Calculate v*s(o) + 3*a(o).\nAnswer: 12*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -34 - -40. Suppose 7*f = 6*f + 6. Suppose -p*v + 4*v - v - 3*v**5 + f*v**3 - 1 - 2 - 3*v**4 + 6*v**2 = 0. Calculate v.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 276*v - 1813*v - 212*v.\nAnswer: -1749*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 77229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -17*a + 11*a + 5*a. Let t(m) be the third derivative of 0 + 0*m**3 - 3\/2*m**4 - 1\/60*m**5 - 8*m**2 + 0*m. What is s(t(r))?\nAnswer: r**2 + 36*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -574*n + 25 - 81*n + 9 - 50 + 16.\nAnswer: -655*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 27182\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w**3 - 4*w**2 - 11*w + 7. Let c(i) = -i**3 - 2*i**2 - 5*i + 3. Give -7*c(g) + 3*m(g).\nAnswer: g**3 + 2*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6944183 to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44237009, -44237010, -44237011, -44237012?\nAnswer: -44237013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 522031 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67368709 is divided by 5614058.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 54992 by -1879.\nAnswer: -54992\/1879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 0)*(0*v + 4*v - 3*v) + 3*v - 3*v + 4*v + (-3 + 3 + 2)*(v + 6*v - 11*v).\nAnswer: -7*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12354 is divided by 366.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) 0.3 (c) -2 (d) -123 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 113*n - 109*n + i - 4, 2*n + 4*i = -12 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2113 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: Let m(q) = q + 1. Suppose b + 0 + 1 = 0. Let a(j) = -1927*j + 1938*j + 189 - 186. Give b*a(s) + 3*m(s).\nAnswer: -8*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1))**(1\/14)\/(o\/(o*o*o**(-3\/7)\/o)*o*o*o**(5\/6)) assuming o is positive.\nAnswer: o**(-10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6 + 22 + 21 + 36 - 17 + 255*c**3 wrt c?\nAnswer: 765*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4266740 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -282465348 divided by -5501?\nAnswer: 51348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-19 - -26) + (-295)\/177*(-9)\/5\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -72) + (-447 - -448 - (4 - (-5 - 1))).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 949822 is divided by 316598?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 AM and 2:07 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4223958 (base 12) to base 6.\nAnswer: -1123410152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 590.1757t to micrograms.\nAnswer: 590175700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*c + 50*c**3 - 424 + 207 + 188 - 3*c**2 + c wrt c?\nAnswer: 300*c - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(1\/9)\/(x\/(x\/((x**12\/x)\/x)))*((x*x**(-6\/11))\/x*x)\/(x\/x**(-2\/41)*x) assuming x is positive.\nAnswer: x**(-46610\/4059)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 76410351?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1152, -2387, -3650, -4941, -6260, -7607?\n\"Answer: -14*r**2 - 1193*r + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*2*sqrt(12) - (sqrt(108) - sqrt(12))*-1)\/(3*(3*(1*sqrt(100) + sqrt(100)) - sqrt(100))).\nAnswer: -8*sqrt(3)\/75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 62533 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8699293 millimeters in micrometers?\nAnswer: 869.9293","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -115, -242, -371, -502, -635, -770?\n\"Answer: -x**2 - 124*x + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 21 + 13?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6a2c68 (base 14) to base 12.\nAnswer: 1266424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 1)*(-16268*n + 16410*n + 14*n**3 - 24*n**3).\nAnswer: -20*n**3 + 284*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -2 (b) 96 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 + 2*h**2 + 4*h - 3. Let s be r(2). Suppose 5*o = s*i + 22 + 13, 31 = 4*o - 3*i. Solve -d - 5*j = -14, 4*d + 0*j - 2*j + o = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + 0 - -5) + 214347\/(-21798).\nAnswer: -41\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*i**2 - 34*i**2 + 14*i**2 + 8*i**2.\nAnswer: 10*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2*c**2 - 3463*c + 13880. Give u(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -31*p + 30 - 0. What is the remainder when 3 is divided by p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 157 + 62. Let j = 7 - p. Calculate the common denominator of 31\/14 and (-16)\/(-96) + (-235)\/j.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {z: 1, l: 2, k: 1, p: 1, x: 1, i: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m**2 - 4*m**2 + 0*m**2)*(-3*m + 13*m + 5*m + (-4 + 4 - 3)*(4*m - 4*m - 3*m))*(67 - 61 - 49).\nAnswer: 1032*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 28469.6\nAnswer: 28467.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6396858 and -2.\nAnswer: 12793716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/(-9)*17\/(-34).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*s - 4*g - 15, 0 = s + 2*g - 4 + 1 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a*a*a**(-7)*a)\/(a\/(((a\/(a\/(a\/((a\/a**5)\/a)))*a)\/a)\/a)*a))**1)**(5\/11))**(9\/8) assuming a is positive.\nAnswer: a**(-45\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25122, 25124, 25126?\nAnswer: 25128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 - 16486366553.\nAnswer: -16486366552.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 69*o**2. Let k(z) be the second derivative of -z**3\/6 - 104*z. Determine k(x(b)).\nAnswer: -69*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is r in r**2\/5 + 4629*r\/5 - 5562 = 0?\nAnswer: -4635, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 - 4 - (148 - 174).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1975.105 + 2033.3. Let t = -58 + u. Let y = t + -0.15. What is y rounded to 2 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of 3*h**2 + 0 + 1\/8*h**4 - 1\/2*h**3 + 0*h. What is the first derivative of s(z) wrt z?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 36 = 4*o, 0 = -3*l + 3*o - 6*o + 33. Solve -l = 5*d + 2*i, i = -3*i for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3022396*0.3\nAnswer: 906718.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-96)\/(-832))\/((9\/4)\/(-3))\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 64, 295, 680, 1219?\nAnswer: 1912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*o**4 + 0*o**4 - o**4 + (3 - 3*o**3 - 3)*(-o - 1 + 1 + 0 + 0 + 2*o + (-2 + 5 - 1)*(o + 3*o - 2*o) + 2*o + o - 4*o + 3*o + 4*o - 6*o - 2*o - 3 + 3).\nAnswer: -7*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of -13\/3*w**3 + 0*w**2 - 27 + 27\/4*w**4 + 0*w. Find the third derivative of s(z) wrt z.\nAnswer: 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -2\/113667357?\nAnswer: -2\/113667357","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 960 - 963. Let q = 6 - 11. Which is the smallest value? (a) -2\/3 (b) d (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00007394233 to six decimal places.\nAnswer: 0.000074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 85890300 a multiple of 150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 AM and 6:40 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2*w. Let x(a) = -9 - 6 + 7*a**2 - 25 + 40 + a. Calculate x(f(r)).\nAnswer: 28*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 - 12. Determine h(0).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 5136\/(-5616) + 110\/4290\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -1. Let w = -57 + 67. Let c(s) = -s - 5. Calculate w*h(i) - 2*c(i).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 1741462?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 7:07 AM?\nAnswer: 9:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7162 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.5, 0.17, -0.351, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/44 and 79\/13672?\nAnswer: 150392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15141 by 5047.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*a + 39 + 4*a**2 + 44 - 25.\nAnswer: 4*a**2 - 17*a + 58","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -506 - -508. Solve -7*x - 3 = -5*f - 8*x, -4*f + 6 = z*x for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*w + 22 = 172 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -10, -5, -4 in ascending order.\nAnswer: -10, -5, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 13976, 27968, 41962, 55958, 69956, 83956, 97958?\n\"Answer: s**2 + 13989*s - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of 73*m**3\/6 + 71*m**2 - 14*m - 3. Let i(x) = 72*x + 142. Let d(h) = 3*i(h) - 4*l(h). Differentiate d(u) with respect to u.\nAnswer: -76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 + 10. Does 23 divide (8\/q)\/((-11)\/132)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 6, -4, -2\/35, -0.7?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 93 - 94. List the prime factors of s + 9\/18*278\/1.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2*(-5)\/((-20)\/(-122)). Let c = 91 - h. What are the prime factors of c?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -24649*m**2\/4 - 1413*m - 81 = 0.\nAnswer: -18\/157","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.75 - -3.75. Let g = -0.0553 + 0.051. Let l = w - g. What is l rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-99)\/18)\/((-2)\/4*-1). Let h(v) = -v**2 - 9*v + 23. Let a be h(u). What is the highest common divisor of a and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pr when two letters picked without replacement from lmprrl?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/15 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 194, 342, 482, 614, 738, 854, 962?\n\"Answer: -4*g**2 + 160*g + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 1356?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 39161*y**5 + 288*y + 1 + y**2 - 24*y**2 - 39160*y**5 wrt y?\nAnswer: 20*y**3 - 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0*14\/(-21)*9\/36\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 478883023?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1080013 to the power of 1\/2, to the nearest integer?\nAnswer: 1039","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 + -1)\/((-147)\/24 - -6). Suppose 5*c - 10 = 2*j - 7*j, 0 = -5*c + j + 22. What is the derivative of 0*q**c + n + 20 + 13*q**4 wrt q?\nAnswer: 52*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 3*h**3 - 141036*h**2 - 705255*h = 0?\nAnswer: -5, 0, 47017","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/6 - (-14)\/4. Suppose 2*v + 44 = 5*b - 2*v, 4*v - 20 = -x*b. Calculate the remainder when b is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/(-7 + (-2630)\/(-375)). Calculate the greatest common factor of y and 135.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1880*g + 23229 = -1654*g - 1027*g for g.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + 4. What is the units digit of 254\/2*3\/(3\/x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13322.5319 plus 189200?\nAnswer: 175877.4681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 5*t + 45 = 2*q, -5*q + 36 = -4*t. Suppose -x + 2 + 0 = 0. Calculate the remainder when q is divided by x.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -15069*a. Let t(f) = -163*f**2. Determine m(t(u)).\nAnswer: 2456247*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01652657 rounded to 3 decimal places?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42963615 and 57105.\nAnswer: 1215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 212320310 + -4?\nAnswer: 212320301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 - 2 = -5*g. Suppose -g*x + 62 = 12. What is the least common multiple of x and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 50 - 36.8. Let q = -13 + t. What is the biggest value in 35, 1, 0, q?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 718334.8 hours to microseconds.\nAnswer: 2586005280000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 170 = 45. Suppose m + 47 = 2*a + 2*a, -4*m + y = 5*a. Calculate the highest common factor of a and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + m - 4, -3*s - 5*m + 9*m = 16. Sort 4, -9, s in ascending order.\nAnswer: -9, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2, 27, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1291, -2, 470.\nAnswer: -1291, -2, 470","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -180 divided by 5.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 12) in base 7?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 500 and 3192625.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 99 + 311. Suppose -8*m = 187 + p. Is -49 less than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/(-6))\/((-4)\/(-24)). Suppose -f*k - 4 = -0. Let t be 1*(3 - (8 + k)). Which is the nearest to 0? (a) -1\/6 (b) 4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4498?\nAnswer: 2, 13, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of -323*x**3\/6 - 191*x - 2. Let s(c) = -2*c. Calculate s(h(z)).\nAnswer: 646*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 34 + -14. Suppose 49 = 6*g + 25. Solve -8*j + r = -g*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 18 = -2*t, -2*t - 19*s + 24*s = -2. Calculate the remainder when (-2 - -1) + 22 + -2 is divided by t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2790*m + 24 - 8*m**3 - 19 - 7*m**3 + 2790*m.\nAnswer: -15*m**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((1*(sqrt(110) - sqrt(110)*1))\/sqrt(10) + -5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rryy when four letters picked without replacement from {y: 10, s: 4, r: 5}?\nAnswer: 25\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13*w**3 - 186*w**2 + 485*w - 132.\nAnswer: (w - 11)*(w - 3)*(13*w - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-2)*(-20)\/(-2). Let y = m + 6. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((2 + sqrt(162))*3 + sqrt(162)))**2.\nAnswer: 6912*sqrt(2) + 42048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*y + 394 = -164 - 98 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 142, 141, 140, 139, 138?\n\"Answer: -b + 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 196326, 197415, 198504?\nAnswer: 199593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8166 + -4267. What is the thousands digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, -2, -123, -3 in decreasing order.\nAnswer: 4, -1, -2, -3, -123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of y**3\/33 + 10*y**2\/11 + 36*y\/11 - 676. Factor l(j).\nAnswer: (j + 2)*(j + 18)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.424 - 0.076. What is the closest to 2\/33 in 4, h, 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-765)\/(-30))\/(((-6)\/(-76))\/(-3)). What is o rounded to the nearest one hundred?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12\/54 + 20\/(-63). Which is the nearest to -2\/5? (a) 5 (b) -0.2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.14435245 to four decimal places.\nAnswer: 0.1444","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -q**2*t**2*w**2 + 2*q**2*t**2 - 6*q**2*w - 2*q*t**2 + 9*t**2*w**2 - 2*w wrt w?\nAnswer: -2*q**2*t**2 + 18*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12.5 - 11. Let n = 2 - z. Let w = -10 + 13. Sort w, 0, n in decreasing order.\nAnswer: w, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 - 42*x**2 - 317*x + 10. Give a(-32).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -3*p - 3. Determine l(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03270833985 rounded to three dps?\nAnswer: -0.033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 805.0944 microseconds in minutes?\nAnswer: 0.00001341824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 486893 to the power of 1\/4, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(891) - (-1 + 2*sqrt(891) - sqrt(891))**2) + sqrt(891) + sqrt(891))*-5*-4 + 4.\nAnswer: -17836 + 900*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.21 (b) -1 (c) -0.4 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 55337 - 41?\nAnswer: 55276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -5 + 3*t - 2 - 4*t. Let f = 2 + -11. Let a be k(f). Solve -g + 2 = -a*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*c - 0, x - 2*c = 0. Sort -5, x, 5 in descending order.\nAnswer: 5, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*v + z + 7, 3*v + 8*z - 13*z = -11 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 x when two letters picked without replacement from {a: 1, s: 1, q: 1, x: 1, o: 1, i: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20\/19, 4, -2\/7, -0.7678 in descending order.\nAnswer: 4, 20\/19, -2\/7, -0.7678","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 207765 is divided by 264.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 - 24*o + 12. Let i be p(24). Is 12 < i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -563462 (base 7) in base 8?\nAnswer: -302576","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10\/7 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 12*f + 5. Suppose q = -27*q - 28. Determine u(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 + -3 + 4 + -20)*-1. Suppose -164 = -z*f + 8013. What are the prime factors of f?\nAnswer: 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4847 - -25?\nAnswer: 26.4847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n**5\/2 + 7*n**4 + 5*n**3 - 10*n**2 - 13*n\/2 + 3 = 0. Calculate n.\nAnswer: -3, -2, -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - 7)\/(-3) + (-2 - -3). Let i(w) = 2 - 9*w + 10 + 98*w**3 - 89*w**3 + l*w**2. Is i(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5962869, 5962862, 5962845, 5962812, 5962757, 5962674?\nAnswer: 5962557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 684210 greater than 684210?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 10*x**2. Let y(w) = 772609*w. What is p(y(j))?\nAnswer: 5969246668810*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -506 = -7*v - 485. Solve 5*p - 5*h + 25 = -0*p, h + v = -p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-3)*((-378)\/(-12))\/(-7). Let n be (-36)\/20*10\/q. Factor 2*y**n - 42*y + 36*y - 3 - 1.\nAnswer: 2*(y - 2)*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0030621106 rounded to 5 dps?\nAnswer: -0.00306","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*j - 8 - 32. Calculate the remainder when 19 is divided by j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 52\/8 + (-2)\/(-5) and 1044\/252*3\/15.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -0.9, -0.18, 1\/4, -0.2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*m + 7*m - 5247260 = -66*m. What is the hundreds digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -80*z + 4. Give c(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 17 - 11 - (2 - (-2 + 2)). Find the second derivative of -33*a - 3*a**v - 17*a - 9*a + 3*a**5 wrt a.\nAnswer: 60*a**3 - 36*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5)*-1*-1 - (1 + sqrt(180))**2.\nAnswer: -181 - 11*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 100*g**2. Let i(p) = -47*p**2 + 71*p. Determine i(u(k)).\nAnswer: -470000*k**4 + 7100*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 326445.8 litres?\nAnswer: 326445800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5464?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + 4 - (-2)\/(-2). Suppose 0 = n*t - 10, r + 24 = -r + 5*t. What are the prime factors of ((-24)\/7)\/4*r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*j - 4*j - 91*j - 151*j - 35*j as u + h*j and give h.\nAnswer: -289","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*j**3 + 7 - 24 - j + 9 - j**4 in the form l*j**3 + h*j**2 + z + x*j + m*j**4 and give z.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 55*z**2 + 3*z + 3. Let k(s) = 166*s**2 + 8*s + 8. Give 8*h(i) - 3*k(i).\nAnswer: -58*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -395 - -420 - (-2 - -12).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 504 and 14940.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -511*i + 257 = -43*i + 7077 + 668 for i.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*q**4 + 17495*q**3 - 5145780*q**2 + 97727100*q - 480038000 = 0. Calculate q.\nAnswer: 10, 481, 1996\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15 - 15 - 8*i + (2 - 2 + i)*(1 + 1 - 4) + (2 - 2 - 1)*(4*i + 7 - 7) + 11*i + 10*i - 16*i.\nAnswer: -9*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59622.29 millennia to months.\nAnswer: 715467480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -63765\/67 or -951?\nAnswer: -951","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 76205746?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(9*3)*1)\/((21330\/(-6480))\/79)?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**(-5))\/i)**(-40))**(-1\/18) assuming i is positive.\nAnswer: i**(-100\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7.4? (a) 147\/29 (b) 1\/4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.5+-6453\nAnswer: -6452.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 109288704 divided by 20329?\nAnswer: 5376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (11\/(-1))\/(9\/(-12) - (-754)\/696)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from dtdtititgttdi?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 + 7*c**2 + c. Let t be s(-6). Suppose 3*v = v + t. List the prime factors of (-6)\/15 + 366\/v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p**3 + 929786*p - 929854*p - p**3.\nAnswer: p**3 - 68*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.9490676 millennia?\nAnswer: 949.0676","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -29330*q**4 - 2*q**2 - 255*q - 25 wrt q?\nAnswer: -703920*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -7*a. Let c(l) = -4*l - l + 3*l - 2*l. Give -5*c(i) + 3*y(i).\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 175\/4200 - (-1010)\/(-48).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 y when two letters picked without replacement from dwpydpwwpywydwwyyy.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 6764.578ug?\nAnswer: 0.000006764578","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, -2\/13, -4, -0.1, -0.2 in descending order.\nAnswer: -0.1, -2\/13, -0.2, -2\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeee when four letters picked without replacement from {s: 7, e: 4}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6 - 3\/5*r**2 + 21\/5*r.\nAnswer: -3*(r - 5)*(r - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -98*o - 655 + 332 + 326 as w + q*o and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 42*-3\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 3*b**2 + 0*b + 0*b + 3*b**4 - 4*b**2 to the form x*b**3 + n*b**2 + z*b + f + j*b**4 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 - -19. Let p be 45\/12*8\/12. Which is the nearest to y? (a) -2 (b) 3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 43 = -132. Suppose 6*r + 1 = d. Suppose 0 = r*g - 3*g - 7. Solve -2*f = 1 - g for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 7 = -1. Suppose -44 = 2*c - w*c. Suppose 5*r + 10*r = -4*r + 152. What is the smallest common multiple of r and c?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18765?\nAnswer: 3, 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k**2 + 0*k**2 + 0 + 5 in the form v*k**2 + m*k + b and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/7? (a) 123 (b) -3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-55)\/176*(-10)\/(-225)*9. What is the closest to -29 in -0.2, -2, k, -1\/10?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7540.8899007 + -7540.9. Let b = 0.0101 + w. Round b to 7 dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1128, -4492, -10098, -17946?\nAnswer: -28036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5400 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 20, -5, -2\/5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -z + 101. Suppose -3*o - s + z = 0, -3*o + 77 = -0*o + 5*s. Does 12 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1504*l + 75134 - 14251 + 5293 for l.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of -42 + 0*j**4 + 74\/5*j**5 + 0*j**3 + 0*j**2 + 21*j. Differentiate u(y) wrt y.\nAnswer: 296*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 - -153. What are the prime factors of q?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -52 divided by 44\nAnswer: -13\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/26670 and -131\/106082592.\nAnswer: 530412960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 + 17)\/((-2)\/(-4) + ((-1496)\/240)\/17).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(336) - (sqrt(336) + (sqrt(336) - (sqrt(336) - (-4*-1*sqrt(336) + sqrt(336) - sqrt(336) - sqrt(336))))))\/(sqrt(108)*4))**2.\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-266)\/((-749056)\/(-208128)) - 10\/(-11).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 4*m**3 - 592*m**2 + 4964*m + 5560 = 0.\nAnswer: -1, 10, 139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*u - 32*o + 500, 7*u + 3*o = 7*o + 34 - 19 - 103 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwzjjtjvizw. Give prob of picking 1 z and 1 j.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27 - 22 + 9)*(-7 - 3 + 1)*(-2*k + 0*k + 3*k).\nAnswer: 360*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 401105182?\nAnswer: 2, 499, 401909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 4*s**3 + 44*s**2 + 12*s - s**3 - 12*s to the form z*s**3 + h + y*s**2 + m*s and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11926?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -49454*k**2 + 230070 wrt k?\nAnswer: -98908*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.84 and 2450.\nAnswer: 2058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t*(t**(1\/3)*t)\/t*t)**(-7\/5)*t*t*t*t\/t**1*t**4)**(-1\/7))**(-40) assuming t is positive.\nAnswer: t**(40\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1061947336 to the power of 1\/2, to the nearest integer?\nAnswer: 32588","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*v**3 - 47*v - 3*v**3 - 52*v + 99*v.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 2*m + 0*m = -32, 4*m = 12. Suppose -z*g - 22433 = -76507. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 - 16. Let c be 4\/b - (-5)\/3. What is the smallest value in -0.5, 5\/2, c?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-1\/5)*j\/((j\/j**2)\/j)*(j\/j**(-4))**(-2) assuming j is positive.\nAnswer: j**(-36\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/9, 4, -1\/8, 4\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/4226358 and -139\/6?\nAnswer: 4226358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of j**4\/4 - 2*j + 150. Suppose 33*d - 29*d - 44 = 0. Let c(n) = 5*n**3 - 11. What is d*z(p) - 2*c(p)?\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 8 = q, -2*k - 3*k + 5 = 0. Let b be (5 - 6) + (q - 1). Suppose -5*a = 2*j - 85, 0 = 4*a + b*j - j - 68. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of h**6\/120 + h**5\/4 + 25*h**4\/8 + 61*h**3\/3 - 142*h - 2. Let m(s) be the second derivative of l(s). Factor m(v).\nAnswer: 3*(v + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 928342021 and 200?\nAnswer: 928341821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35, -131, -407, -793, -1289?\nAnswer: -1895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 + r + 3. Let p be w(-3). Let h be (p\/4)\/(3\/104). Suppose 0 = 2*q - 5*q + h. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 3:53 AM?\nAnswer: 6:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4313128, 4313123, 4313132, 4313161, 4313216, 4313303?\n\"Answer: y**3 + y**2 - 15*y + 4313141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a**2 + 0*a**2 - 2*a**2 + 0*a**2 - 4*a**2 + 2*a**2 + (-a + 0*a - a)*(4*a - 2*a + 0*a) - 3*a**2 - 35*a + 35*a - 1.\nAnswer: -13*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-24)\/132 + (-70)\/(-22). Suppose -2*w = -q*w - 16. Let i be w\/24*(-3)\/19. Which is the third biggest value? (a) -0.2 (b) -0.4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m = -24*m + 577136. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -21, -95, -225, -417, -677?\n\"Answer: -t**3 - 22*t**2 - t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 + -6. Let v = -2.1 + 2. Let m = 183 - 185. What is the closest to b in 1\/6, m, v?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -32064.67 - -33190. Round j to the nearest one hundred.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1877823.\nAnswer: 3, 97, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 - -85. Does 14 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 3 (c) 53 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*y, 7*r - 2*r - 2*y = 148. Let t be 2 + (3 + 2)*(-12)\/r. Which is the third smallest value? (a) 1 (b) -1\/4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/(22\/(638\/29)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -531840 divided by 177280\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -165 + -49?\nAnswer: -1b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -376 - -380. Suppose 129 = 4*p + 5*q, 4*p + m*q - 155 + 23 = 0. Calculate the smallest common multiple of 164 and p.\nAnswer: 1476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-28))**(-4\/5) assuming p is positive.\nAnswer: p**(-116\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x**2 + 45*x. Let h be p(23). Put -4, h, 3, -2 in ascending order.\nAnswer: h, -4, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 665 + -664. Which is greater: 1\/469 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (2 + (-70)\/38)*(31900\/30)\/(-29)?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -270895 and -0.03?\nAnswer: 270894.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 74721?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -2*i**5\/13 + 14*i**4\/13 - 18*i**3\/13 - 14*i**2\/13 + 20*i\/13 = 0.\nAnswer: -1, 0, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, x: 2, z: 2, t: 8}. Give prob of sequence ztdx.\nAnswer: 4\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 3*w + 1. Let f be i(2). Suppose 4*z + 0*l + 7 = -3*l, -z + l = -f. Suppose 0 = z*y - 6. Let d(n) = -2*n + 1. Calculate d(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, -42, -98, -176, -276?\nAnswer: -398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68932 = -179*l - 885*l + 1971*l for l.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -134 + 94. Let k = 84 + j. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 77 = -2*w, 23230*w + 2*g = 23227*w + 33 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 56.2944ml?\nAnswer: 0.0562944","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33 is divided by 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (5\/(-3))\/((-2)\/6). Let p be -3 - (-3 - (3 - 1)). What is the second derivative of -a - 3*a + a - p*a**b wrt a?\nAnswer: -40*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1*((-70777)\/(-77) + (-8)\/44) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -61538.633 to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 15 = a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-17*r**2 - 38*r**2 + 279*r**2 - r)*(2 - 3 + 3) to c*r**2 + a + o*r and give c.\nAnswer: 448","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28*p**3 - 57*p**3 + 47*p**3)*(-4*p**2 - p**2 - 6*p**2).\nAnswer: -198*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 5*d + 15 = 0. Let j = -0.4 - -0.9. Let x = j + -0.6. What is the third smallest value in x, -0.5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -251653 and -0.122.\nAnswer: 30701.666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 - 6*f + 1. Let q = -6 + 5. Let h be -4*q*(-20)\/(-16). What is r(h)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1339484285?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.3 + -1.1. Which is the closest to -1? (a) 2 (b) -0.3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of g**4\/4 + 4*g**3\/3 - 3*g**2\/2 + 7*g - 2. Let m(t) = t**3 - 7*t**2 - 2*t + 9. Let v be m(7). Determine l(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 240584 = 127*p + 28959 + 5377. Calculate the least common multiple of 1218 and p.\nAnswer: 4872","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - z + 19359, 480*i + z = 477*i + 14519. Calculate the remainder when i is divided by 103.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -7*f**3 + 22240*f - f**3 + f**2 + 7*f**3 + 1 - 22232*f. Calculate j(4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 39*l**6 + 2616*l**4 - 2*l**3 - 55025*l**2 + 1 wrt l?\nAnswer: 4680*l**3 + 62784*l - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -78 + 82. Let y be (-6)\/p*1*160\/(-120). Solve y*q = 4, 5*q - 2 - 20 = 3*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/2677 or 1?\nAnswer: -5\/2677","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of 4*q**3\/3 + 6*q**2 - 5. Factor p(v).\nAnswer: 4*v*(v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 6 = 0, m - 14*v - 25 = -21*v - 3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4243 + -4223. Solve 0 = -j - 4*d - q, 20*j + d + 10 = 21*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2612176?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 8:50 AM?\nAnswer: 3:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 1633 = 479. Suppose 7*a - 9*a = -c. What are the prime factors of a?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -46847290*k**3 + 282934271*k**2 wrt k.\nAnswer: -281083740","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 58340204485 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 89423 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 4*b**2 - 3*b + 6. Give l(3).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1208 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -26 in -2\/13, 24366, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qxq when three letters picked without replacement from iiqxqqiiiq?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that x**5\/4 - 7*x**4\/4 + 11*x**3\/4 - 5*x**2\/4 = 0.\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.225 - 0.598. Let n = -0.26 - a. What is n rounded to two dps?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 837315649 to the power of 1\/3, to the nearest integer?\nAnswer: 943","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 AM and 12:46 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1539*f*q**3*r - 2*f*q**2 - 83*f*r**3 + 3*q**3*r**3 - 4*q**3*r + 2*q**2*r**2 - 3*q*r - 454*r**3 wrt f.\nAnswer: 1539*q**3*r - 2*q**2 - 83*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 + 4*c - 2. Let n be j(-5). Suppose 4*y = n*y + 4. Calculate the remainder when 10 is divided by y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 331169558 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0207 and -0.2.\nAnswer: 0.00414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4732, 4780, 4838, 4918, 5032, 5192, 5410, 5698?\n\"Answer: 2*d**3 - 7*d**2 + 55*d + 4682","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10852155 to the nearest integer?\nAnswer: 3294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1932267 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -6*r**3 - 8*r**2. Let p(a) = 3*a**3 + 4*a**2. Let z(h) = 9*p(h) + 4*t(h). What is the third derivative of z(f) wrt f?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 16*h**2 + 406*h - 412. Let g(i) = -23*i**2 - 608*i + 617. Let v(y) = 7*c(y) + 5*g(y). Factor v(m).\nAnswer: -3*(m - 1)*(m + 67)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hdd when three letters picked without replacement from {h: 1, e: 3, w: 12, l: 1, z: 2, d: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add -3 and -494.9.\nAnswer: -497.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 v when two letters picked without replacement from xwvxxxzwwx?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4643407 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 5*m**5 + 35*m**4 - 2565*m**3 - 18455*m**2 - 42320*m - 31740 = 0.\nAnswer: -23, -3, -2, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 - 8. Find the second derivative of -12*t**h - 2*t + 5*t**5 + 12*t**3 wrt t.\nAnswer: 100*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 + 4*c + 4. Suppose 5*b - 19 - 71 = 0. Let p be 46\/10 - b\/30. Determine l(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.024 - 27.976. Let r(a) = -53*a**2 + 9*a - 8. Let g be r(2). Let x = g + 197. What is the smallest value in h, x, 1\/4, -2\/11?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 1 = -y, 2*g - 15 = -5*y - 3*g. Let j(f) = 2*f - 16. Let b be j(9). Suppose -36 = b*d - y*d. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + 0*t + 0*t)*(50 + 4 + 55 + 35).\nAnswer: -144*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 5, c - 8 = -v - 3. Suppose 0 = c*f - 87 - 33. Is f a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 525587 and 0.0520134.\nAnswer: 525587.0520134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 1 + 248 + -269\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000008846 rounded to 7 decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 1\/6*c**4 - 2*c - c**3 + 2\/3 + 13\/6*c**2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p**4 - 5070*p**3 - 1946840*p**2 + 5070*p + 1946835 = 0. Calculate p.\nAnswer: -297, -1, 1, 1311","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -22*k**3 + 66*k**3 - 10*k**3 - 2*k**2 + 2*k**3 + 2*k**2 + k**3 + 4*k**2 - 4*k**2 + 1 - 1 + 2*k**3 + (-3 + 2 - 1)*(2*k**3 - k**3 - 3*k**3).\nAnswer: 43*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -23439*f**3 + 10086*f**3 + 11197*f**3 - 1359 wrt f?\nAnswer: -6468*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*g, -3*r + g - 5*g = -12. Is (79 - 0)*(2 + -1 + r) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30246814?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 12, l: 6}. Give prob of picking 3 b and 1 l.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27108787 and 62.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5.448, -0.3, 309 in increasing order.\nAnswer: -5.448, -0.3, 309","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42400621?\nAnswer: 409, 103669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 279280 is divided by 4302.\nAnswer: 3952","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10260 is divided by 3403?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/2)*s*s*s)**33\/(s*s*s**1)**26 assuming s is positive.\nAnswer: s**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 11505?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3535313 (base 6) to base 10\nAnswer: 183933","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of -z**9\/1008 + z**6\/360 + z**3\/2 + z**2. Let q(d) be the first derivative of i(d). Find the third derivative of q(c) wrt c.\nAnswer: -180*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -7*t + 64. Suppose -15*r + 15*r = 4*r - 16. Determine f(r).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u**2 + 11962422*u - 23924836 = 0. What is u?\nAnswer: 2, 5981209","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**0*s*s)**39*(s\/(s\/s**0*s))**(-6\/19))\/((s**8\/s)\/(s\/(s*s**(-1\/3))))**(-27) assuming s is positive.\nAnswer: s**(4908\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/250 and 40\/1573.\nAnswer: 393250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -1 + 28\/(-16).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 3522?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5970064?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -148*j - 3842 = -586 for j.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 28 = -4*p, -12*a = -7*a + 5*p + 15 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -11164 (c) -9 (d) 3\/8 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2785885969 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45833958 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of 1\/120*r**6 + 1\/20*r**5 + 0*r**3 + 0*r + 0 + 0*r**4 - 2*r**2. Find the third derivative of q(o) wrt o.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003605 to four decimal places.\nAnswer: 0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(7)*-3 + 1 - sqrt(84)\/(sqrt(120)\/sqrt(10))).\nAnswer: -4*sqrt(7) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14.7? (a) -2\/7 (b) 4\/9 (c) -67\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 142*c - 48*c - 2 - 37*c - 34*c - 31*c. Calculate r(-3).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyygyyggy. What is prob of sequence yg?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 2*z**2 - 2 + 20*z - 20*z - 33*z**2 + (-7*z - 6 + 6)*(53 - 53 - 13*z) in the form l*z + a*z**2 + u and give a.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2*t**2 + 13*t + 4. Let z(d) = -d**2 + 3*d. Let j(y) = -x(y) + 3*z(y). Let k(r) = -5*r**2 - 16*r - 16. What is -9*j(w) + 2*k(w)?\nAnswer: -w**2 + 4*w + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*b**3 - 7*b**2 + 7*b**2 + (-14*b - 7*b + 5*b)*(3*b**2 - b**2 - 3*b**2) + b**2 - b**2 + b**3 + (0*b + 0*b + 2*b**2)*(5 + b - 5).\nAnswer: 22*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5198*k + 11191*k - 5993*k + 274*k**3.\nAnswer: 274*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a centimeter in micrometers?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 + 2*v**2 + 13651*v - 54621. Determine k(4).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6670 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14993 is divided by 6762?\nAnswer: 1469","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9 and -0.06.\nAnswer: -0.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 9*f**2 - 5. Let i(o) = 10*o**2 - 6. Give 6*a(u) - 5*i(u).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2101, 3145, 4189?\n\"Answer: 1044*h + 1057","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 48 and 35.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 0.2, 0, -1.1265?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8123 is divided by 125.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/160, -212, -3\/7, 0.08 in descending order.\nAnswer: 0.08, -1\/160, -3\/7, -212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 2\/11, 0.07, -1\/2, 0.9, 0.1?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (77 - 77 - 19*o)*((1 - 1 + o)*(0 - 4 + 2) - 2*o - 4 + 4 - 3*o + 4*o - 2*o) to the form y*o + h + w*o**2 and give w.\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, t: 4, g: 3}. What is prob of picking 1 t and 3 g?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xjq. Give prob of sequence xjj.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 959971280 a multiple of 5690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 904*z**3 - 4 + 4 + 5*z**2.\nAnswer: 904*z**3 + 5*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 - 9*z**2 - 12*z - 9. Let n be j(-8). What is the highest common divisor of n and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -179 or -182?\nAnswer: -182","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2783 is divided by 203?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.017 to two decimal places.\nAnswer: -1.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 2*a**3 - 2*a + 3. Let b(h) = -h**3 - 8*h**2 - 9*h - 16. Let k be b(-7). Let p(n) = -10*n**3 + n**2 + 11*n - 16. Determine k*p(u) - 11*q(u).\nAnswer: -2*u**3 - 2*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -10930, -22990, -35050, -47110?\n\"Answer: -12060*z + 1130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4266166*10\nAnswer: 42661660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -34*q. Let g(w) be the third derivative of -w**2 - 1\/12*w**4 + 0*w**3 + 0 - 5*w. What is g(i(n))?\nAnswer: 68*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-2)\/2)\/5)\/(414\/(-22770)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15051741 - 15051728.600193. Let f = -12.4 + y. Round f to five decimal places.\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1838 is divided by 168?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 109 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - 3. Let n(m) be the second derivative of m**4\/12 - m**3\/2 + 2*m**2 - m. Is 21 a factor of n(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 - 3)*1*3. Let g(r) = -r**3 + r. Let k(l) = -7*l**3 - 2*l**2 + 5*l - 3. Let n(o) = -6*g(o) + k(o). Let u be n(b). Solve -2*a - u = a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (39\/(-351))\/((-3)\/(-6))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s**5 + 4*s**5 - s**5 + (-s**3 + 0*s + 0*s)*(3*s**2 - 5*s**2 + 4*s**2 - 3*s**2 + 5*s**2 - 3*s**2 + (0*s + 2*s - 5*s)*(4*s - 2*s + 0*s)).\nAnswer: 6*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6518?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 8, z: 3}. Give prob of sequence xz.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.05 in -11200, -0.1, -15, -6?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 + 8*l - 11. Let n be j(4). Suppose -n*f - 27 = -52. Suppose -3*k = 2*k + d - 486, f*d + 510 = 5*k. Does 7 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in seven quarters of a kilometer?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/4)\/(2184\/(-4992)).\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.5 + -1.503. Let f = g - -4.803. Let n = -4.7967 + f. What is n rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*v + 6*v. Let x(n) = n + 9. Let s be x(v). Find the second derivative of s*l**2 - 9*l**2 + 3*l - 10*l**4 wrt l.\nAnswer: -120*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = -4*c + 7*c. What is the least common multiple of 22 and c?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 4*m**2 - 5. Let p(o) = 3*o**2 - 4. Suppose -159 = -298*y + 1033. Let i(c) = -3*c + 7. Let t be i(4). What is t*p(s) + y*f(s)?\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 27 = -6. Suppose -a*k + 495 = -16*k. What is the smallest common multiple of k and 27?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 404752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15365*u - 49*u**2 + 30 + 7683*u + 7682*u.\nAnswer: -49*u**2 + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -14*b - 8. What is p(3)?\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32 + 3 + 23 + n + 1 to k + o*n and give k.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 2*q = -20, o = -3*q + 22 - 2. Suppose o*w - 1 = 9. Suppose -k - w*r - 2*r = -85, 3*k = 5*r + 238. Is k a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -17310 to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20 - -28) + -16 - ((-4 - -3) + 1).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2114 + -3574. Let x(d) = -d**2 + 9*d - 10. Let m be x(8). Is (1\/m)\/(2\/o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2777 less than -7?\nAnswer: -2784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/6256 and -50\/2737.\nAnswer: 43792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 227\/85 - 42\/17. Let n = 0.22 - -0.08. Which is the smallest value? (a) n (b) m (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09063316481 rounded to 2 decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 239547253?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 2. Let c be -2 + (-13)\/((-455)\/63). What is the smallest value in c, -0.1, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 4*m**3 - 7*m**2 - 6. Let t = 18 + -11. Let l(b) = -5*b**3 + 8*b**2 + 7. Let a be ((-99)\/(-198))\/(3\/2*6\/108). What is a*l(g) + t*o(g)?\nAnswer: -2*g**3 - g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 + 25*c - 88. What is w(3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 15) to base 14.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 374257?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - -12 - 60\/9.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-93)\/6 - 2\/(-4). Let u = 17 + w. What is the greatest common divisor of u and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/1421 and -47\/1624?\nAnswer: 11368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(228)*-1 + 1*sqrt(228)*-1)\/(6*5*(sqrt(300) - -2*sqrt(300))))**2.\nAnswer: 76\/50625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -203 - -100?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20 - -20. Suppose 2*d - 5*d + 30 = b. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**3 - 1 + 1 + (12 + 4 + 6)*(-t - t + 4*t)*(280 + 12*t**2 - 280).\nAnswer: 530*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2971799765 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 440 or 441?\nAnswer: 440","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7045 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 6786\/429 - (-2)\/11\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -9, -229, -979, -2571, -5317, -9529, -15519, -23599?\n\"Answer: -52*z**3 + 47*z**2 + 3*z - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**3*k)\/((k**(-1\/15)\/k*k)\/k)*(k**(-1\/2))**21)\/((k\/(k\/(k*k**(-4\/5)*k)))**(-10\/9))**(2\/63) assuming k is positive.\nAnswer: k**(-10189\/1890)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 16596?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n - 1. Let g(j) = -8*j + 1. Let r(c) be the third derivative of -c**4\/4 + 3*c**2 + 5*c. Let v(m) = 2*g(m) - 3*r(m). Calculate -4*v(b) - 10*x(b).\nAnswer: 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000355446368 rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 14*m**2 + 16*m - 37. What is l(2)?\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*t - 3*t - b - 211, 5*t = -3*b + 361. Let g be 5 - 2 - (0 - -1). Suppose -t + 453 = g*u. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + 415444?\nAnswer: 415452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 26166 and 26166 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3323 + 5?\nAnswer: 3332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -147 + 308. Suppose -t = 2*d - 545. Calculate the greatest common factor of d and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -z**4 - 2*z**3 - 10347829*z**2 + 8445799*z - 15?\nAnswer: -12*z**2 - 12*z - 20695658","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from odoyyybyobdddb?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 175.3 - 175.8. Let v = 918 + -32132\/35. Which is the second smallest value? (a) -2\/5 (b) 0 (c) u (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39, 35, 29, 21, 11?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b + 12989 = -8142. Let z = b + -966. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -8, -0.3, -0.1458?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 2*d + 130 = -3*d, 129 = 5*c - 4*d. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -136*o**3 + 3*o**2 - 6*o + 5. Let u(s) = 273*s**3 - 5*s**2 + 10*s - 9. Determine -5*r(w) - 3*u(w).\nAnswer: -139*w**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 77779 - -0.29631?\nAnswer: 77779.29631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-96)\/(-32))\/((-1)\/(-1))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 2:47 AM?\nAnswer: 7:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -2*i + 2. Let a be (-3 - 1)*(-1 + i - 1). Find the third derivative of 21*h**2 + 75*h**a - 91*h**4 + 4*h**2 wrt h.\nAnswer: -384*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 638*g - 97. Is m(9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a gram in milligrams?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -205223, -205222, -205221, -205220, -205219?\nAnswer: -205218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 - x**2 + 26*x + 40. What is z(-2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*c + 4*c**3 + 5*c - 16*c**3.\nAnswer: -12*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.69501 + -296.69499. Let c = -237.2 - 58.8. Let i = y - c. Round i to 1 decimal place.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27088758?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 103, 10, -30.1 in descending order.\nAnswer: 103, 10, -5, -30.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 1\/4 (c) -5\/4 (d) 2\/5 (e) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 200282808 divided by 25035351.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 4 (b) 2\/23 (c) 1 (d) -0.204 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -102*j**3 - j**2 - 2*j - 2. Let k be c(-1). Suppose -340 = 99*t - k*t. Calculate the greatest common divisor of t and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 + 31*r**2 - 357*r - 94. Determine l(-40).\nAnswer: -214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -5*a**3 + 1750*a**2 + 84305*a + 935750 = 0?\nAnswer: -25, -19, 394","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 21\/8*r**2 + 87\/8*r**4 - 75\/8*r**3 + 0*r + 0 - 33\/8*r**5 = 0.\nAnswer: 0, 7\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 PM and 9:45 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 175*u**3 + 3*u**2. Let i be b(-1). Let a = i - -540. List the prime factors of a.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22 - -65. Let o = 8 - j. List the prime factors of (-535)\/o - 2\/7.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 - u + 3. Let v be j(-3). Let i be (-2)\/8 + v\/(-12). Let k be (-10)\/(-45) - 100\/288. Does k = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6571 + 6573. Let l(u) be the third derivative of 19\/60*u**5 + 0*u + 0 + 0*u**4 + s*u**2 + 2*u**3. Find the first derivative of l(n) wrt n.\nAnswer: 38*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/(-40) + 0)*(-42)\/12. Let f = 17\/20 + j. Is 23\/4 at most f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118*w - 1835 = -22*w - 15 for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -168 - 200. Let d = b - 162. Solve 3*r - d = 2*k, k + 31 = -2*k + 4*r for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1428*r**3 + 1430*r**3 - 3*r - 10 - 2860*r**3 as z*r**2 + v*r**3 + c + l*r and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 280\/420*(-12)\/(-14)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 106314 to the nearest integer?\nAnswer: 326","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -396608 - 3?\nAnswer: -396611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -487 take away 0.1?\nAnswer: -487.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -4*j - j. Suppose -l + 5*l - 20 = j. Let a(h) = h**2 - 4*h + 2. Give a(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 13 (b) 10 (c) -2\/5 (d) 2\/15 (e) 59 (f) -5 (g) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/(v\/(v*v*(v*((v**(1\/5)*v)\/v)\/v)\/v))*v**(-6\/5)\/v)**(25\/6)\/((((v\/(v\/(v**(2\/7)*v)))\/v)\/(v*v**(-1)\/v))\/(v**2)**47) assuming v is positive.\nAnswer: v**(649\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 573 is divided by 72?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 169260 to the nearest 10000.\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v - 4. What is the remainder when f(-9) is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, g: 1, h: 11}. What is prob of sequence gh?\nAnswer: 11\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -4*y**2 - 4*y - 3. Let i = 5 - 14. Let m be i + -3*4\/(-3). Let g(w) = -5*w**2 - 4*w - 2. Let l(x) = m*g(x) + 6*f(x). Calculate l(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - ((-10)\/(-820))\/(7\/(-5138))?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 + (-1)\/((-3)\/18). Let c(y) = -21 + 5*y**2 + 39 - 30 + 5*y. Let b be c(v). What is the highest common divisor of 12 and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = 6*o + 8*o - 132 for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 48571400?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.113 + 2.087. Let o = 2\/199 + 392\/597. Which is the closest to -0.1? (a) o (b) m (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*d + d - d)*(3 - 44 + 1) + (0 + 0 - 2*d)*(-2 + 2 - 1) + 2*d + 1 - 1.\nAnswer: 204*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + -5 + (-1107)\/216?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1111793 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 + 2*g**2. Let t(c) = 0*c**2 - 3*c**3 - 1 + 5*c**3 - c**3 - 5*c**2. Give 5*r(b) + 2*t(b).\nAnswer: -3*b**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 2 c when four letters picked without replacement from cvlrrrlrzccvcrlrvzcc?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -583*c + 22768. Give o(39).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 349198.4 millilitres to litres.\nAnswer: 349.1984","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**2 + 4*r**2 - 4*r**2)*(-1 - 2*r + 1) + r**3 + 0*r**3 - 2*r**3 - 4*r**3 - 4*r**3 + 5*r**3.\nAnswer: -8*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10101111 + -1010111101001000111?\nAnswer: -1010111100110011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 397623254?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6017378 + 6058152.036. Let t = k - 40849. Let h = t + 75. Which is the third smallest value? (a) -2 (b) -3 (c) h (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-605*o + 178*o - 155*o)*((4*o**2 - 5*o**2 + 3*o**2)*(4 + 0 - 2) - 3*o**2 - o**2 + 5*o**2).\nAnswer: -2910*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 - 11*j - 18. Give f(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1491 and 0.007.\nAnswer: 10.437","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 2\/15 of a millennium?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 2*z + 5*r, 6*z = 10*z + 4*r + 4 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -77\/108 or -2?\nAnswer: -77\/108","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 35 = 5*m, -4*a + 5*m - 2 = 3. Suppose 2*p - 7*p + 146 = 3*j, a*j - 198 = 3*p. Let v = 839 - j. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - 1. Let y = 69 - 64. Factor 0*s + 1\/2*s**y + r + 5\/4*s**4 + s**3 + 1\/4*s**2.\nAnswer: s**2*(s + 1)**2*(2*s + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 549 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 317 + 241. Let g = 25 + -23. Suppose -4*p = y - 43, p + 3*p = g*y - 50. What is the greatest common factor of u and y?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 b when two letters picked without replacement from {g: 4, l: 1, b: 9}?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 3*v - 84, -3*m + 210 = 2*m - 5*v. Calculate the remainder when 162 is divided by m.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of a**4\/24 - 7*a**3\/6 + 2*a**2. Let d be x(8). What is the derivative of -5*v**3 + 0*v + 4*v**3 - d + 0*v wrt v?\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4*(-104)\/(-32) + 13584 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(-3))\/(a\/((a**(13\/3)\/a)\/a)))**(-4\/17) assuming a is positive.\nAnswer: a**(-64\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 2*g - 2*c + 14 = 0, -4*g = 5*c - 23. Suppose -g*a = -o - a + 69998, 5*o + a = 350002. Round o to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/8 + (-20)\/(-16).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m + 5. Let v(j) = -j**2 - 6*j - 9. Let x be v(-5). Let l be g(x). Is 10\/(-2)*(-3 - l) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7 times -0.08559?\nAnswer: -0.059913","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n**2. Let k = -14 - 2. Let u be 3\/2*k\/(-12). Let l(d) = 0*d - d + u*d. Give s(l(r)).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 + 0.04518175.\nAnswer: 0.04518175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 - 155*t**2 - 11283*t - 627. Determine z(209).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 12:17 AM?\nAnswer: 9:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 16*f + 606 = 140 - 146, 4*f + 136 = -4*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 3*n**2 - 5*n + 1. Let m(f) = f**2 - 5*f - 10. Let b be m(10). Let g(x) = b*x - 81*x + 42*x. Determine 5*g(v) + w(v).\nAnswer: 3*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 s when two letters picked without replacement from osyoysssqysoys.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.711 rounded to one decimal place?\nAnswer: 13.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -251, -343, -435?\nAnswer: -527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 66*l**2 + 8*l + 3. Let b be f(-7). Let y = b - 2209. Suppose 6256 = 4*j + 3*r, -y - 2178 = -2*j + 4*r. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of -4*r**3\/3 - 3*r**2 - 4*r - 5376. Let f(t) = -5*t**2 - 5*t - 4. Calculate 5*b(j) - 6*f(j).\nAnswer: 10*j**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*x + x + m, -4*x = 4*m + 4. Let o(d) = -11*d - 1 - x - 3 + 14*d. List the prime factors of o(11).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -0.3, 2, 3, -142, -25\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -4*z**3 - 9*z**2 + 8*z - 23. Let a be f(-6). What is the greatest common factor of 67 and a?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 147026?\nAnswer: 2, 11, 41, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 6 + 2*6\/(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17895.0000006995 - 17895. What is z rounded to seven dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) -59 (b) 0.3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -0*z + 1407. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17111\/41040 + 37\/1520. Let b = r + -11\/27. Suppose 3*h = -5*i - 4, 3*h - 4*i = -12 - 1. What is the nearest to 1 in -4\/3, h, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 737629 is divided by 66929?\nAnswer: 1410","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-78)\/(-9) + 4\/(-6). What are the prime factors of 94\/t + (-1)\/(-4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*-0.83089.\nAnswer: -5.81623","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7 - 2\/7*x**2 - 2\/7*x + 2\/7*x**3.\nAnswer: 2*(x - 1)**2*(x + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/6*(-5 + 8). Suppose -5*v + 5 = -5*d, d = u*v + 3*v - 13. Solve -n + v*m = -15, -3*m + 6*m = -4*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -12 - 18492a5?\nAnswer: -18492b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u + 12, 0*u = 4*r - u + 45. Let s = -18 - r. Is s less than -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggmg when four letters picked without replacement from {g: 11, m: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.20909516 + 0.2091. Round x to 6 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 179*z**3 - 2*z + 62.\nAnswer: 1074*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 4*a - 74, -a + 2*o - 2 + 25 = 0. Let x = a + -15. Calculate the smallest common multiple of x and 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 6*b**3 - 4*b**2. Let v(w) = -5*w**3 + 5*w**2. Give 5*i(r) + 4*v(r).\nAnswer: 10*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*f*r**6 - 70486*f*r**5 + 297919*f*r**2 - 6*f wrt r.\nAnswer: 1560*f*r**3 - 4229160*f*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8724.1 + 8304. Let h = -412 - y. Put 3, h, 0.1 in descending order.\nAnswer: h, 3, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fjff when four letters picked without replacement from jfjjjfjfjjjjfjfjjj.\nAnswer: 13\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of -y**4\/4 + 8*y**3\/3 - 4*y**2 + 816. Suppose 3*x = 25 - 4. Determine j(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 2*s = -26, w + 3*w - 20 = -4*s. Let l(m) = -m**3 + 7*m**2 - 6*m + 7. Calculate l(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (p - p - p**2)*((-1 + p + 1)*(6 - 2 - 2) - p + 5*p - p) in the form s*p**3 + m*p**2 + q*p + f and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 242971 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 55037 = -2*m, 3*m + 36*w - 40*w = 82558. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22 + -17. Suppose -143 + 494 = 5*y + 3*t, -a*t + 148 = 2*y. Is 13 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/(-4))\/(13370\/347620)?\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -3*r**6 + 28*r**2 + 3*r + 3. Let v(j) = 8*j**6 - 84*j**2 - 10*j - 10. Let u(b) = 10*q(b) + 3*v(b). Find the third derivative of u(n) wrt n.\nAnswer: -720*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*c*s**4 - 4983*c*s + c + 31*s - 902564 wrt s.\nAnswer: 16*c*s**3 - 4983*c + 31","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15521*t**3*x**3 + 1224*t**3*x**2 - 1008271*t**2*x**2 - 44*x**3 wrt t.\nAnswer: -93126*x**3 + 7344*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - s - 3*s - 3*q - 28 = -11, 2*s - 1 = 5*q for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -12\/575311?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of -13*r**2 + 0 + 1\/12*r**4 - 3*r**3 + 0*r. Let p be u(11). Solve p*j + 3 = -4*n + 7, -3*n + 5*j = -27 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5495?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37\/6, -1.24, 1045.\nAnswer: -37\/6, -1.24, 1045","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3869.\nAnswer: 53, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*w**3 - 255*w + 255*w + w**2 + 4*w**3 + 12*w**4 to the form g*w**2 + u*w + i*w**3 + j*w**4 + m and give j.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 12420.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 44.47 + -43. Let h = 1.47 - m. Which is the closest to -3\/5? (a) 1 (b) h (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 3 - 0. Let m(t) = 499*t + 517. Let w be m(-1). Solve -s - n*k - 10 = 0, -5*s + 2*k - w = -2 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7500697*o**2 - 102386*o - 39?\nAnswer: 15001394","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, -1, 2 in descending order.\nAnswer: 20, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - -431?\nAnswer: 430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -67\/9 (b) 2\/3 (c) -2 (d) -3 (e) 33\/14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 579145?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2504.\nAnswer: 2, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-35)\/14*(1 + 3). Is (703 - (-1)\/(5\/s))*1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 43*h**2 - 9*h - 11*h**2 - 10*h**2 - 21*h**2 - 8. Let x(c) = 6*c - 2. Let b be x(2). Let m be l(b). Solve 3*o = -u - 2, -2*o + 4*u = 8 - m for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of 2*w**6\/21 - 6*w**5\/35 - w**4\/14 + 2*w**3\/7 - w**2\/7 + 7. Suppose p(b) = 0. What is b?\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -51646, -207432, -467360, -831430, -1299642, -1871996, -2548492?\nAnswer: -3329130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4345 - 83)\/(-82) - -61?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 6:56 AM?\nAnswer: 5:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of -9*d**8\/448 + 27*d**7\/280 - 3*d**6\/16 + 23*d**5\/120 - 11*d**4\/96 + d**3\/24 + 2*d**2. Factor h(t).\nAnswer: -(t - 1)**2*(3*t - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + 11 + 11 + -10.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -149 + 159. Let p(d) be the first derivative of -d**4 + 2*d**3\/3 + 3*d**2\/2 - 2. What is the remainder when p(-2) is divided by b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -184*d + 45*d + 41*d + 48*d + 46*d - 2. Let y(j) = -j - 1. Calculate 2*i(k) - 4*y(k).\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -21, 4\/7, -3, -7.18, 1 in descending order.\nAnswer: 3, 1, 4\/7, -3, -7.18, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v - 10*v + v)*(-2*v**2 + 2*v**2 - 2*v**2)*(-2290 + 2290 - 307*v).\nAnswer: -4298*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c. Let r(u) = u - 1. Let o(s) = -3*s + 3. Let d(f) = -2*o(f) - 5*r(f). Let j be d(3). Let w(p) = -2 + p**2 + j. Calculate a(w(l)).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -101211 (base 3) to base 15\nAnswer: -147","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 768 + -5368\/7. Let b(d) be the first derivative of -4\/7*d**2 - h*d - 2\/21*d**3 - 1. Factor b(y).\nAnswer: -2*(y + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28 and 11955146?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 7*d + 15. Let t(h) = h**3 + 5*h**2 - 2. Let a be t(d). What is the tens digit of a\/(-13) + (1415\/13 - 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 54 - 237. Let f be 8\/4*97\/2. Let z = d - f. Solve 0 = -3*x + g + 2, z*x - 3*x - 2*g = -5 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of -7 - (-5*6\/(-105) - (-3487)\/(-77)) and 2870.\nAnswer: 54530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21441 (base 6) to base 11\nAnswer: 2267","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-7)\/k)**(-16\/9) assuming k is positive.\nAnswer: k**(128\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, 0, 4\/13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -174 or -2250\/13?\nAnswer: -174","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 94090 divided by -970\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 l when three letters picked without replacement from {l: 2, g: 1, d: 1, k: 1, a: 1, x: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 12:18 AM?\nAnswer: 1:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*b**2 + 11*b**2 - 10*b**2 - 6*b**2 - 22*b**2.\nAnswer: -22*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6974.05 nanometers to kilometers.\nAnswer: 0.00000000697405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 - v**2 + 2*v + 24. Let c be i(0). What is the highest common factor of 16 and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7392 divided by 132\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/16 of a kilogram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 4440.\nAnswer: 13320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2708 by 7.\nAnswer: 2708\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1007 and 35701?\nAnswer: 1892153","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/1316 and -37\/4888.\nAnswer: 34216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -8168.49 rounded to the nearest 100?\nAnswer: -8200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((-1 + sqrt(1377))*2 - (0 + sqrt(1377) + -1)) + 4)**2 + 1)*3 + 4.\nAnswer: 162*sqrt(17) + 4165","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d - 4*d + 5 - 1. Let b(f) = -f**2 + 2*f. Let q be b(4). Let o be s(q). Solve 0 = -3*x + 3*v + 2*v - o, 12 = -3*x - 3*v for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = -32, 5*o + 48 = 439*p - 441*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -1330*m**2 + 209*m + 209. Let r(c) = -38*c**2 + 6*c + 6. What is 6*a(l) - 209*r(l)?\nAnswer: -38*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -5*a + 243. Let s be y(48). Let l(j) = j**2. Let z be l(0). Let i = 1 - z. Solve s = -f + i, 0 = q + 4*f + 5 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 2656045?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5419 + 5656 = 26*u + 416*u + u for u.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 51492 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 341 - 313 = -7*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -0.0466 (c) -1\/9 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6173568?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -232, 3, -16?\nAnswer: -232","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 654 - 584. What is the units digit of (10\/(-4) - 0) + 72905\/i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2095 + 3318. What is the remainder when g is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 137*o + 157. Let d(f) = 68*f + 78. Let j(r) = -5*d(r) + 2*k(r). Is 8 a factor of j(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*t**4 + 2*t**4 - 3*t**4 + (2*t**4 - 3*t**4 + 4*t**4)*(3 + 7 + 0) to r + u*t + p*t**4 + d*t**3 + l*t**2 and give p.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 247824?\nAnswer: 2, 3, 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 35*x - 547. What is z(8)?\nAnswer: -267","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/(-20)*(-60)\/(-18).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 102990 and 1036766?\nAnswer: 15551490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -80 - -146. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-48)\/132*(-10)\/(200\/154).\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19279942?\nAnswer: 2, 11, 461, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 997266435 a multiple of 12135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.04 and -0.1394475132?\nAnswer: 0.1794475132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -1034*g**2 + 156*g - 4. Let b(l) = 344*l**2 - 52*l + 2. Let y(z) = -8*b(z) - 3*u(z). Find the second derivative of y(o) wrt o.\nAnswer: 700","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -107, -212, -317?\n\"Answer: -105*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1711273 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 15 = -30*m + 34*m, 0 = 4*y + 12. Solve m = 4*s - 27 - 1 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.09 + -0.59. Let v be ((-2)\/(-4))\/((-4)\/(-32)). Suppose -a + 5 = v. Put -0.2, h, a in decreasing order.\nAnswer: a, -0.2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-14)\/3*(-18)\/21. What is the highest common divisor of 4 and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3\/9 + s**2\/3 - 20*s.\nAnswer: s*(s - 12)*(s + 15)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1803 + 2071.3. Which is bigger: 1\/3 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rfcm when four letters picked without replacement from zccfzzzfczzczzrmz.\nAnswer: 1\/7140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 47*o**2 - 34*o - 12. Let s(v) = 93*v**2 - 67*v - 22. Let z(k) = -6*s(k) + 11*w(k). What is the second derivative of z(y) wrt y?\nAnswer: -82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4568 + 8786 = -222*p for p.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -30 + (1 - -12) - (-4 - -2)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = -t + 4*r, -9*r = -4*r + 25. What are the prime factors of t?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -1. Let i = 0.3 + 0.2. Let q = 63.9 - 64. Which is the nearest to 2\/3? (a) i (b) w (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -46 - -1 - (3502 - 3606).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, -14, -28, -58, -110, -190?\nAnswer: -304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99847 is divided by 18512.\nAnswer: 7287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of -m**5\/20 - m**4\/3 - 5*m**3\/6 + 2*m**2 + m. Is 12 a factor of x(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 111 + (6 - 92) + 71?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -5*s + 3. Give j(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a microgram in nanograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -210798 divided by -407?\nAnswer: 210798\/407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 4575\/7661?\nAnswer: 4575\/7661","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 + 8*r**2 - r - 26. Let w be a(6). Suppose -w = -6*u - 40. Let s(f) = f. Let q be s(3). Solve -q*d = 5*m - 17, u = 2*d - 0 + 2 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 13*r - 25*r + 10*r. Let c(k) = 51*k**2. Determine c(a(f)).\nAnswer: 204*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(2\/3))**(-2\/9))**(-49)*(d*d**(-2\/5)\/d*d*d*(d\/(d\/(d*d**6)))\/d)\/(d\/d**(1\/6)*d\/d**(-3\/8)) assuming d is positive.\nAnswer: d**(13663\/1080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 - 2. Suppose 12*h = g*h + 20. Suppose h*u + n = -0*u + 206, 5*u = -2*n + 202. List the prime factors of u.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1743042 (base 8) to base 3.\nAnswer: -221212212102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**2 - 2*q**2 + 9*q**4 + (1 + 2 - 2)*(4*q**4 - q**4 - 5*q**4) - q**2 + q**2 - q**4)*(-4 + 2 + 3).\nAnswer: 6*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4929?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a day in hours?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-1 - (2 + 4 - 6))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 2 = 2*q + 6, -2*v + 2*q - 8 = 0. Let r be (-11)\/(-1) + 0\/v. Calculate the greatest common factor of r and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -22*r. Suppose -4*w + 18 = v + v, 0 = -w + 3*v - 13. Let f(b) = -b + b + b - w*b. Calculate k(f(h)).\nAnswer: 22*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.2 from -810.531.\nAnswer: -810.731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, -7, -28.9, 3\/11 in increasing order.\nAnswer: -28.9, -7, -4, 3\/11, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjjjjzjjzjjzjj. What is prob of sequence zjjj?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*n**3 + 0*n**3 - n**3 + 4*n - 7*n in the form k + p*n + r*n**2 + u*n**3 and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*r**3 + 25*r**3 + 7*r**2 - 19*r**3.\nAnswer: -5*r**3 + 7*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15 - -1) + -18 + 11 + (9 - 8).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 14) in base 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*d**4 - 3*d**4 + 7*d**4 + (d**2 + 11*d**2 - 3*d**2)*(2*d**2 + 0*d**2 - 6*d**2) in the form c*d**4 + a*d**3 + i + s*d**2 + g*d and give c.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 420, 1703, 3840, 6831, 10676?\nAnswer: 15375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - -371002?\nAnswer: 371000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -17*p - 123. Let o be q(-6). Let t(l) = -51*l - 6. What are the prime factors of t(o)?\nAnswer: 3, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1*1*1)\/(-1). Let z(y) = x - 3*y + 8*y + y**2 + 0*y**2. Suppose -45 = 5*c - 4*j, 2*c + 0*c + 25 = 3*j. What is z(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21967420259 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 280 + 12\/10*105\/63?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -c + 4. Suppose 2*i - 18 = c. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/2144 and -79\/128.\nAnswer: 8576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (11 + 1)*3\/(-6). Is -2 at least s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k + 3. Let x be o(-5). Let m be (x\/5)\/(6\/(-30)). Solve 0*i + m*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -269, -1693, -3117, -4541, -5965?\nAnswer: -7389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 687387894 to the nearest integer?\nAnswer: 26218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, 1467, -13?\nAnswer: 1467","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 4 = 3*t, 0*t + 7 = 3*b - 4*t. Suppose 0 = -o - 29 + 36. Let a(k) = -12 + o + b - k**2. Let p(i) = i. Determine a(p(q)).\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 2028?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1175976, -1176097, -1176218, -1176339, -1176460?\n\"Answer: -121*d - 1175855","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of -59*i**5\/20 - 97*i**4\/12 + 89*i + 66. Let c(o) be the first derivative of b(o). Find the third derivative of c(f) wrt f.\nAnswer: -354","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 11 = -4*o + 3*o - t, 4*o = -9*t - 33 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28)\/2*(-62)\/124?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 1709 = -5*v, 3*v = 4*v - 2. Suppose 6*n = 147 + b. List the prime factors of n.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 8 + 8*f**2 + 5*f + f**3 + 16 - 12. Let z be r(-8). Find the common denominator of (15\/(-8))\/((-21)\/z) and -73\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8 - (5 - 15)) + (-63)\/35. Which is the closest to 5\/11? (a) o (b) -0.01 (c) 2 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 872*x - 2759*x - 3130*x as g + y*x and give y.\nAnswer: -5017","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 14*1 - 7\/(7\/2). Suppose -5 = 4*t + i, 2*t + 3*i + 3 = -h. Suppose 0 = 3*j + 6 - 18. Solve j*w + w = t for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81094.78 litres in millilitres?\nAnswer: 81094780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/5 (b) 9461 (c) -1\/12 (d) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 996190*h - 205 = 996190*h - 5*u, -543 = -0*h + 5*h - 13*u for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/9)*q*(q*q\/((q**(2\/29)*q*q)\/q))\/q*(q**(2\/5))**(1\/20))**(1\/16) assuming q is positive.\nAnswer: q**(10961\/208800)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 81440 and 3563.\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + m**3 + 1 + (-2 + 2*m + 2)*(-2*m**2 + 3*m - 3*m))*(-208*m + 575*m - 1225*m).\nAnswer: 2574*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 293 and 131622632?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from {r: 2, l: 3, c: 12}?\nAnswer: 11\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*a + 120 = 3*f + 28*a, -a - 10 = -4*f + f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -331 (base 10) in base 7?\nAnswer: -652","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -h**2 + 2*h**2 - 10*h**6 + 0*h**2 wrt h.\nAnswer: -1200*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1404 is divided by 74.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(80) - (-5 + sqrt(80)))**2 + (sqrt(4050)\/sqrt(10))**2 + sqrt(5) + (sqrt(45)\/sqrt(9) + 2)**2.\nAnswer: 5*sqrt(5) + 439","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 11*l + 71. Let c be ((-5)\/30)\/((-20)\/(-840)). Calculate g(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -14193, -56762, -127711, -227040, -354749, -510838?\n\"Answer: -14190*l**2 + l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 91 = -5*m, 6*n - n = 4*m + 185. Calculate the lowest common multiple of 1 and n.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 37700, 37881, 38178, 38591, 39120, 39765?\n\"Answer: 58*j**2 + 7*j + 37635","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16414?\nAnswer: 2, 29, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 + 14*y + 9. What is k(-12)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/10*422\/1*1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 35.34925 litres?\nAnswer: 35349.25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3617 and 3582?\nAnswer: -12956094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of 0*i**3 - 1\/5*i**5 + 3\/2*i**2 + 0*i**4 + 0*i - 1. Find the second derivative of j(o) wrt o.\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 6 + 4 = -m, 0 = -2*m + 3*z + 8 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.138 * -0.2.\nAnswer: 0.0276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -3*p + 12. Let m(r) = 6*r - 32. Let l(y) = 2*m(y) + 5*z(y). Determine l(7).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.211 + -4.611. Suppose 2*n = -5*t + 27, 0*n = 5*n + 5*t - 30. Which is the closest to 0.2? (a) h (b) n (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 4*c - 105. Give j(24).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 72*v**2 - 36*v**2 - 33*v**2. Let w(g) = -5*g. Calculate d(w(l)).\nAnswer: 75*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 35.79469 nanometers in centimeters?\nAnswer: 0.000003579469","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 + 7*g**2 - 9*g - 3. Let p be a(-8). Suppose 2*i - x = 40, -p*i + 5*x + 56 = -3*i. Let k = i - 15. What is the nearest to 0.1 in k, -2\/3, 2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51784977 to the power of 1\/2, to the nearest integer?\nAnswer: 7196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3*r + 0)*(1 - 2*r**2 - 1) - 2*r**3 - 2*r**3 + 3*r**3 + 24*r**3 + 400*r - 400*r.\nAnswer: 29*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 384 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -12 + 12*u - 5*u + 4*u. Let o(y) = 4 + 304*y - 156*y + 0 - 153*y + 2. Determine -7*o(h) - 3*s(h).\nAnswer: 2*h - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + -1 + (7 - (15 - 14))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 133 + -64. Let m = g + -72.1. Let h = -3.23 - m. Is 1 < h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express d**4 - 10*d**2 - 3*d**4 + d**4 + 9*d**2 + 3*d + d**3 in the form u*d**2 + i*d**3 + z + l*d**4 + c*d and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2 - g - 1 - 3. Let r be j(-4). Suppose 5*b = 3*i - 43, 0 = 3*i - 3*b - 41 + r. What are the prime factors of i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 25 = -21. Solve -9 = -o*f - g + 2*g, f + g = -3 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 PM and 8:22 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -119102*c**2 + 142761?\nAnswer: -238204*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 33 divided by -11\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - -2 - 12 - (-2 + 8)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16863*a**2 + 16860*a**2 - 33723*a**2 + 4*a**3.\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a second in milliseconds?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.3 + -0.45. Let o = z - 0.17. Let m = 0.3200017 + o. Round m to six decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 72 = q, 0*q + 273 = 4*q + 5*x. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1876127 is divided by 166.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 214?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2496?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -4*v + 1928, 6*v + 2450 = 5*y + 3*v. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3139783 divided by -37.\nAnswer: -84859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**4 + y**2 + 2*y + 5. Let v(w) = -2809*w**4 + 3*w**2 - 6*w + 17. Let k(h) = -6*d(h) + 2*v(h). Find the second derivative of k(n) wrt n.\nAnswer: -67488*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/22365 and -52\/355?\nAnswer: 22365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/5 (b) 0 (c) 0.3 (d) 381\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*p = 5*n - 120*p + 59, 10*p - 32 = -4*n + 6*p for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 + 19*m - 82. Let r be y(17). What is the tens digit of (11 + -1)\/(r\/(-2376))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2745.31431 to the nearest ten.\nAnswer: -2750","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*a**4 - 3*a**3 + 611*a**2 - 2*a + 6086?\nAnswer: 36*a**2 - 18*a + 1222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3999696 = -75*l + 5046729. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence io when two letters picked without replacement from ooipiiioixioiixi.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4 - 54\/(-15) - 2\/(-5). Suppose -2*x + 2*h - 2 = 0, -2*h = -3*x - 5*h + 27. Suppose -x*f = -f - 30. Put 5, b, f in descending order.\nAnswer: f, 5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/692622 and -119\/98946.\nAnswer: 692622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 243 + -237 + -8 + 0 + 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/((s*s**(5\/6))\/s)*s*s**(10\/9))**(-42) assuming s is positive.\nAnswer: s**(-413\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -895 = 63*s - 76 for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -132570.54 times -0.061?\nAnswer: 8086.80294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -25621 or -230578\/9?\nAnswer: -230578\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 o when three letters picked without replacement from dozzooyodhhohyyyh.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1655, 12537, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -3*u - 2. Let i(b) be the third derivative of 0 + 2\/3*b**4 - b**2 + 5\/3*b**3 + 0*b. Calculate -2*i(g) - 11*q(g).\nAnswer: g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -1480*p**2. Let h(u) = u**2 - 2*u - 643. Give h(i(m)).\nAnswer: 2190400*m**4 + 2960*m**2 - 643","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 100 - -50.\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7911?\nAnswer: 3, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2 - 9702*x + 136024.\nAnswer: -(x - 14)*(x + 9716)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -1 - 5*y + 0 - 3. Let r = -990 - -994. Let h(k) = -k - 1. Let u(d) = r*h(d) - f(d). Let a(q) = q. What is a(u(p))?\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2\/3 + 269*o\/3 - 415532\/3.\nAnswer: (o - 524)*(o + 793)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -7*c + 3. Let y(b) = -22*b + 10. Let g(u) = -2 + 3*u**2 + u - 4*u**2 + 3*u - 7*u. Let t be g(-4). Let q be -6*1*(-16)\/t. Determine q*a(s) + 5*y(s).\nAnswer: 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffvv when four letters picked without replacement from {v: 3, f: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2385639 - -1.7\nAnswer: 2385640.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/10 and 11\/15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48572 and 52?\nAnswer: 631436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 9 = -5*l. Suppose 3 = l*q - 6. Suppose -3*c = -0*c - q. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of 0 + 16*v**2 + 0*v + 1\/24*v**6 + 0*v**5 + 0*v**4 - 5\/2*v**3. Differentiate m(x) with respect to x.\nAnswer: 15*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 + 0 + -1 + 54. Let c = o - 33. Let j = -9 + c. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7\/36, 5, -393, 0.3 in descending order.\nAnswer: 5, 0.3, -7\/36, -393","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 241866131 to the power of 1\/3, to the nearest integer?\nAnswer: 623","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-12)\/10)\/(4\/(-10)). What is the third derivative of 8*a**4 - f*a**4 + a**2 + 2*a**2 wrt a?\nAnswer: 120*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 10 = -2*v. What is the units digit of (-9)\/(-6)*1 - (-3375)\/v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -2*l + 6. Let z be x(11). Let r be 6\/4 + (-40)\/z. Solve -r*f + 20 = -4*m, 0*m - 4*m - 10 = f for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -68845, -275378, -619601, -1101514?\n\"Answer: -68845*p**2 + 2*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1100 + 1102. What is x in -32\/13 + 32\/13*x**g - 88\/13*x**3 + 18\/13*x**5 + 64\/13*x - 6\/13*x**4 = 0?\nAnswer: -2, -1, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + (42 - (1 - 1)). Let d = b + -36. Find the second derivative of -40*q**d - 2*q**2 + 16*q**5 + 2*q**2 - 30*q wrt q.\nAnswer: -480*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (468\/390)\/(2\/1)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*o**2 + 368*o - 368*o + 1.\nAnswer: -48*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 5*y + 360 = -50, 5*c - 3*y + 408 = 0. Is -81 <= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2530351 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(1\/23)\/j)\/j**(-8))\/(j**(-8)*j**(4\/23)) assuming j is positive.\nAnswer: j**(342\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 56 - 417232*m**2 + 0*m + 417236*m**2 - 4*m**4 - 3*m as l*m**3 + o*m**2 + b*m + r*m**4 + d and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.887564 centimeters to nanometers.\nAnswer: 98875640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 979 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*g - 264*g + 6336 = 0 for g.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 86 + -64. Solve -2 = -4*u - r for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3263 and 16409523?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12545 is divided by 2004?\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11907440 is divided by 1265.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = k - 28, -3*k - w = -20 - 36. Let y = 29 + -19. Let c = k - y. What is the remainder when c is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3833, 15831, 35811, 63755, 99645, 143463, 195191?\nAnswer: 254811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4.8 + -5. Let r = a - 0.8. What is the nearest to r in -0.4, -2\/7, -1\/9?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 AM and 9:57 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 89 = 79. Suppose -1 = f*b - 4*b. Is b bigger than 1\/45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -26.9. Let m = w + -25.9. Let x = 11 + -9. Which is the second biggest value? (a) -0.5 (b) m (c) -0.2 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6908, -25932, -57642, -102038, -159120, -228888, -311342?\nAnswer: -406482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -q + 192. Suppose 4*c - c - q = 0. Solve -v = 3*v + c for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 2*v = -165, v + 2*v = 0. Let u = 2490 + -9909\/4. Find the common denominator of u and (-112)\/h*(-6)\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = p + 108, -5*p - 6*m - 523 = -4*m. Let a = -98 - p. Put 5, 3, a, -5 in increasing order.\nAnswer: -5, 3, 5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6650, -13388, -20138, -26906, -33698?\nAnswer: -40520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2607 and 711?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w and 1 q when four letters picked without replacement from fuwfqqqwuqqlwuqw.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2281, 8814, 19657, 34774, 54129, 77686, 105409, 137262?\n\"Answer: -6*r**3 + 2191*r**2 + 2*r + 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 177 divide 46778555?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rwp when three letters picked without replacement from kwkrwp.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2*l + 4. Let s be j(4). Let o be -3*(-8)\/6 + -1. Suppose s = o*t + t. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 - 5 + 0 + 153*n**2 - 2 to k*n**2 + i*n + u and give k.\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 5*s - 6 = 0, -20*s = -4*b - 15*s - 26. Let o(c) = -14*c**2 + 4*c - 5. Let a(i) = -13*i**2 + 5*i - 6. Determine b*a(p) + 5*o(p).\nAnswer: -18*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1367 (base 8) in base 3?\nAnswer: -1001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 2*n - 5 - 1 = 0, 2*m + n = 8 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s*s**(-15)))\/s**(-15)*(s\/(s*s\/s**(2\/9)*s))**(-14) assuming s is positive.\nAnswer: s**(485\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8904?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27, 127, 295, 531, 835, 1207, 1647?\nAnswer: 2155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -15. Let f = -6 - j. Solve -5*n + 9 - f = 5*r, -n + 5 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = -3*l - 0*l + 3*r, 2*l + r = -39. Let m(q) = q**3 + 9*q**2 + 22*q - 16. Let d be m(l). What is the hundreds digit of (2\/(-4))\/(13\/d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + -1 + 0 - -2. Find r such that -2\/3*r**3 + 2\/3*r**l - 2\/3 + 2\/3*r = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*d**2 + d + 0*d - d.\nAnswer: -44*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-54)\/12*(-4)\/2. Let v be a\/6*(-584)\/(-12). Suppose 17 = 5*h - v. Solve r + 3*r = -3*b - h, 3*r + b = -11 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3617*x**3 + 1033*x?\nAnswer: 21702*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ohfh when four letters picked without replacement from {r: 4, f: 3, h: 6, o: 2}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine quarters of a minute in seconds?\nAnswer: 885","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -656 - -1976\/3. Which is the third smallest value? (a) -2 (b) g (c) -3\/2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2*t**3 + 5*t**2 + 3*t + 4. Suppose -5*r - 4 = w + 9, r = 3*w + 7. Calculate d(w).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 + 20*y**2 + 14*y + 7. Let b be m(-13). Let g be (-4)\/14 + 666\/b. Sort g, 1\/3, -4\/5.\nAnswer: -4\/5, 1\/3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -276*d - 389. Is 107 a factor of x(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - -1. Suppose -p*w + 24 + 56 = 0. What is the remainder when 45 is divided by w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -160 + 178. Suppose -2*b + 46 = -3*z, -d = -b + 3*z + 5. Factor -b*y**2 - 9\/2 - 1\/2*y**5 - 33\/2*y - 15*y**3 - 9\/2*y**4.\nAnswer: -(y + 1)**3*(y + 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -20, -105, -174, -221, -240?\n\"Answer: t**3 + 2*t**2 - 98*t + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -10*x + 126. Let q be z(12). List the prime factors of -5*(q - 908\/4).\nAnswer: 5, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from rorooororr?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*o - 567 + 996 + o + 0*o + o in the form d*o + s and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 15427 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of -l**4\/2 - l**3 + 34*l**2. What is the units digit of u(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 5588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - -1) + -2 + (-6 - 5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -18*2\/(-8)*-2. Let i = 39 - -16. Suppose -i*f = -54*f + 8. Is f smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5.379 - 0.271. Which is greater: -0.1 or t?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -m**3\/9 + 8*m**2\/9 + 23*m\/9 - 10\/3 = 0. Calculate m.\nAnswer: -3, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3012.6 + -3003.6. What is the closest to 0 in l, -2\/3, -1\/2, 146?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167361 to the power of 1\/2, to the nearest integer?\nAnswer: 409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1484.925353938 and -14.\nAnswer: -1498.925353938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/(-9))\/(4 - 98\/21). What is the smallest value in 7, 0.01, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 3*i - 3*r, -i - 5*r = -3*i - 28. Sort i, 3, -76 in descending order.\nAnswer: 3, i, -76","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = -4*c - 2*h, -h + 5*h = 5*c - 97. Let y(u) = 15*u - c + u + 18. What is the tens digit of y(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*x - 5*g - 25 = -56*x, 0 = -x + 4*g + 8 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6247 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -4*j**3 + 2*j**2 + 2*j - 2. Let d(h) = 9*h**3 - 4*h**2 - 3*h + 5. Let y(p) = 10*c(p) + 4*d(p). Factor y(b).\nAnswer: -4*b*(b - 2)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/((-4)\/16*6). Let o(l) = -l**2 + 3*l - 2. What is o(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 + -7. Suppose -4*m - m - 4 = d, -4*d + 20 = 2*m. Let c(q) = 1 + 4 - d*q + q + q**2. Calculate c(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 9. Suppose -p*g = -9, 2*c = -c - 3*g - 69. Let v = -17 - c. What is the least common multiple of 7 and v?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 8*s**5\/3 + 3686*s**4\/3 + 518630*s**3\/3 + 6752064*s**2 - 1698840*s = 0.\nAnswer: -198, -65, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 7*k = -p + 43, -18109 + 18111 = 3*p + k for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 37 (b) -1 (c) -35 (d) -3 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22 + 52. Suppose -3*s + 2*b = -128, 3*b = -s + 9 + a. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -980*n**2 - 16*n**3 + 1935*n**2 - 970*n**2.\nAnswer: -16*n**3 - 15*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1633.4*3602.\nAnswer: -5883506.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - -12.8. Let l = r + -11.8. Which is the nearest to 0.7? (a) l (b) 1\/3 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16473622?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 34496 and 2800.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 20\/(-15) + (-9)\/(-6). Which is the nearest to 2? (a) -0.2 (b) 3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -158 - 139 - 10*x**3 + 297.\nAnswer: -10*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o + 13. Let j(b) = 2*b - 25. Let l(u) = 6*j(u) + 11*t(u). Calculate l(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 219671.\nAnswer: 107, 2053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28840\/19 - (-4)\/(-114)*(-1 + -2) is divided by 95?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100 + -112101201?\nAnswer: -112101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 145417591 and 1738?\nAnswer: 869","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c**3 - 899*c**2 - 10*c**3 - 9*c**3 + 880*c**2.\nAnswer: -20*c**3 - 19*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.02 - 4.02. Let w = -2.7 + -0.3. Let m = 3.1 + w. Put p, m, -2 in descending order.\nAnswer: m, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90717.36 months in millennia?\nAnswer: 7.55978","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 - 7*w**2 - 3*w - 10. Let z be q(-7). Let k = z - 7. Suppose -g - 3 + k = 0. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 12:57 AM?\nAnswer: 2:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-18580)\/507234*52\/10\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3593 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 183 at least 183?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 65511139 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -5*x. Let z(a) be the first derivative of -3*a**4\/4 - 163*a**2\/2 - 175. Let h(w) be the second derivative of z(w). What is h(q(m))?\nAnswer: 90*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 714 divide 457220610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 94279079 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/8, 6\/43, 1\/4, -0.02 in decreasing order.\nAnswer: 1\/4, 6\/43, -0.02, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65 is divided by 27.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of -3*s**5\/20 - 7*s**3\/3 + 30*s. What is the second derivative of j(t) wrt t?\nAnswer: -18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4159.5524*-0.2.\nAnswer: 831.91048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27 - -30. Suppose 5*t - 413 = 4*x + 2*t, -4*x - 419 = m*t. Let w = x + 397. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 - 8*f**2 + 38*f + 7. Determine g(3).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1241 (base 5) to base 7\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = a + 11. Suppose 3*c = 5*p - 31, 3*p + 4*c = a - 1. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(156) - 1*sqrt(156)) + 4*(sqrt(156) + 1*sqrt(156) - sqrt(156)))\/(sqrt(300)*5*6).\nAnswer: 2*sqrt(13)\/75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, 0, -5, 1\/2 in descending order.\nAnswer: 4, 3, 1\/2, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 56 = -0. Calculate the remainder when 28 is divided by q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand g + 3*g + 0*g + 0*g - g + 3*g + (-1 + 0 - 1)*(-2*g - g + 0*g).\nAnswer: 12*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a decade in months?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of -11 - 7*c**2 + 3*c**2 - 1 + 5*c**2. Let i(y) = -y. Give i(n(z)).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -97, 851, 1 in descending order.\nAnswer: 851, 1, -97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 167507 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 2*j - 2*i + 8 = 0, 4*j - 4*i = 0. Suppose j*w - 50 = 86. List the prime factors of w.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 d when three letters picked without replacement from {d: 1, q: 2, x: 2, c: 1, g: 1, n: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q = -2*q - 184. Suppose 0 = -2*s + q + 116. Suppose 5*m - s = 2*m. Calculate the remainder when m is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (98*u - 98*u - 9*u**2)*(546 + 187 + 19)*(2 - 3 + 0)*(4 + 0 - 2).\nAnswer: 13536*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 855323304?\nAnswer: 2, 3, 11, 19, 41, 4159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -2 + ((2*sqrt(80) + sqrt(80))*-3 - (sqrt(80) + 1)*6)**2.\nAnswer: 720*sqrt(5) + 18030","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 280 - -19. Is 4 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 1261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -24*z**2 - 34*z + 30. Let t(b) = -5*b**2 - 7*b + 6. Let m(g) = 14*t(g) - 3*x(g). Factor m(a).\nAnswer: 2*(a - 1)*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 v when two letters picked without replacement from {v: 1, o: 1, z: 1, y: 1, w: 2, d: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 35 + 85 = 0. Let i(b) = b + 19. Let r be i(9). Let u = r - 16. What is the greatest common divisor of u and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -285 + 358. What is the remainder when m is divided by 30?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 times 0.1822322?\nAnswer: -1.0933932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -20337700 rounded to the nearest one million?\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mpneanmrmeermrneenna. What is prob of sequence rm?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 223341165 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -41313 + 41320. Suppose 4*j + j - t - 172 = 0, 5*j = -3*t + 184. Calculate the highest common divisor of j and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1.6 (b) -2\/9 (c) 4 (d) -0.2 (e) -4\/7 (f) -23 (g) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 6*s**2 + 5*s - 4. Let i be n(4). Let o = -296551 - -297223. What is the highest common divisor of o and i?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 + 69*h**2 - 692*h + 6001. Calculate v(59).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.3 - 0.4. Let k = 1.5 + l. Let s = k - 0.4. What is the nearest to s in 4\/5, 0, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7014*z**2 + 51*z + 21 wrt z?\nAnswer: 14028","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -10*m. Let c(z) = z. Let w(d) = b(d) + 12*c(d). Let a be w(1). Suppose j + 11 = a*j. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 + 1)*(i - 3*i - 3*i) - 278 - 1842*i + 1844*i - 70.\nAnswer: -8*i - 348","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -42379 * 1\nAnswer: -42379","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -357631 - -84750. Let w = 4643357\/17 + f. Let y = -258 + w. Sort 0, y, -3\/7 in descending order.\nAnswer: 0, y, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 861907761 to the power of 1\/5, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7049563?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 55.9 + -56. Which is the nearest to v? (a) -5 (b) 5 (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 4*b - 42 - 39, -m = 1. Solve -18*z = -38*z - b for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/1214520 and -93\/708470.\nAnswer: 8501640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(147\/(-147) + (-6)\/(-8))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + 33100301410?\nAnswer: 33100301412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 1 - 3. Let l = v - 2. Solve -l*o + 3 = o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121002201012 (base 3) in base 4?\nAnswer: 1031113220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + (-5)\/(5\/(-6)). Let t(i) = i**3 + 5*i**2 + i - 7. Let w be t(-4). Calculate the highest common factor of w and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 3*m + 44 + 44 = 0, -3*s + 3*m = 69. Let z = 23 + s. Let p(x) = x**2 + 4*x + 9. What is the units digit of p(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -5*j**2 + j - 27. Let x be ((-3)\/2)\/((-102)\/(-476)). Let w(m) = -6*m**2 + m - 30. Let q(y) = x*n(y) + 6*w(y). Determine q(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2493 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 + 2*o**2 - 5*o - 6. Let t = 214 - 218. Determine d(t).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21040 - 120?\nAnswer: 20420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 770406696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16795 + -16774. Solve 51*q - s*q = -30 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1728 and 7751376?\nAnswer: 31005504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 - 5*u**2 + 7*u - 8. Let h be f(5). Let p = 8 - 1. Suppose -4*m - p + h = 0. Which is the second biggest value? (a) m (b) 1\/5 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/8)\/(3\/(-14))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 9535474, -13 in decreasing order.\nAnswer: 9535474, 1, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45023030?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7375 = 197*c + 98*c for c.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42261 (base 8) to base 12.\nAnswer: a215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pjoidjjpjjpnn. What is prob of picking 2 j, 1 n, and 1 o?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -26 + (28 - (-15 + 13)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-48)\/(-11))\/2 + 108\/(-594). Is 29 a factor of (-3)\/y + (-15983)\/(-22)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6564049?\nAnswer: 1321, 4969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-2*sqrt(405) + 4))**2.\nAnswer: -144*sqrt(5) + 1636","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -291*w + 302*w - 11 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.44 + -0.04. Let q = 0.0002 - -0.0998. Which is the fourth biggest value? (a) -1\/3 (b) q (c) i (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-6)\/(-115))\/(17\/5 - 3). Let p(k) = -k**3 + 8*k**2 - 6*k - 3. Let s be p(7). Suppose 5*o - 1 = s*o. Which is greater: o or b?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1079, -1075, -1077, -1091, -1123, -1179, -1265, -1387?\n\"Answer: -b**3 + 3*b**2 + 2*b - 1083","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1593670 is divided by 1593648?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10769658 divided by -78041.\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -8840304 divided by -2946768?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 79156390886 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -80 + 116. Suppose -s = -2*c + 76. What is the remainder when c is divided by (-57)\/2*6\/(-9)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ax when two letters picked without replacement from {x: 1, s: 1, a: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 10254301 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 656.8351 micrograms in milligrams?\nAnswer: 0.6568351","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -12) + (-6 + 5 - -3) + -4?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -9 - 20\/(-4) - (328 - 5). Let h = 364 + s. What is the greatest common factor of h and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 + 3*k - 13. Let h(x) = -3*x**3 + 5*x - 26. Let j(t) = -3*h(t) + 5*s(t). Differentiate j(i) with respect to i.\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 PM and 3:11 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*k**2*q + 42558979*k**2 + 303*k*q + 1003*q wrt q.\nAnswer: 5*k**2 + 303*k + 1003","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -3\/7 (b) 2\/7 (c) 2\/3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 570024 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5065581 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 - 0) + 1 + 168. Let h = w + 26. Does 22 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of c**8\/336 - c**7\/84 + c**3 - 2*c. Let p(z) be the second derivative of f(z). Determine w, given that p(w) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 (base 11) in base 3?\nAnswer: 102102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 m when four letters picked without replacement from {m: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.6 (b) -2\/7 (c) -2\/15 (d) -17 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 - -3. Let b(a) = 14*a - 50*a + 21*a + 14*a. Let s be b(v). Solve 4*c = s - 27 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 422 - 214. What is the tens digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.9 - 0.1. Let a = n - -3.99999996. Let s = a - 0. Round s to 7 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10608 - 181*h - 10608 to b*h + y and give b.\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -318 - -317.9. Let w be (-1)\/(0 + (-18)\/(-4)). Which is the closest to g? (a) -1\/2 (b) w (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9fb4 (base 16) to base 5\nAnswer: -2302014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 - 14*v + 63. Suppose l + 4*m - 22 = 0, -4*m + 2*m = -l - 2. Let u be d(l). What is the greatest common divisor of 15 and u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6315525.46 rounded to the nearest one hundred thousand?\nAnswer: 6300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 655 is divided by 84?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 76*c**3*r**3 + c**3 - 43*c**2*r + c*r**3 + 2*c*r**2 + 172*c*r - 47*r wrt c?\nAnswer: 456*c*r**3 + 6*c - 86*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 3, 0.5, -0.1, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 425 a factor of 85349018?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71830*y = -4*c - 71834*y + 80, -c + y + 14 = 0 for c.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/w**7*w)**(-11\/8)*(w\/((w\/w**(-1\/9))\/w))\/(w**(1\/21)\/w) assuming w is positive.\nAnswer: w**(925\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-5)\/(-2))\/(1\/2). Suppose -112*k + 110*k + 188 = 0. Suppose -k = o*a - 589. Calculate the highest common factor of 9 and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Work out -24 * 2.205.\nAnswer: -52.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 + 18*z**2 + 93*z - 49. Let a be j(22). Let d = 299 - 76. Suppose 0 = 4*o + b - a - d, -5*b = 0. What are the prime factors of o?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14588\/(-5210))\/(812\/(-20)).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70687 is divided by 785.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1656710?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1)\/((r\/(r**(-9\/7)\/r))\/r*r))\/(r\/r**6*r)**47 assuming r is positive.\nAnswer: r**(1286\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 x when two letters picked without replacement from {c: 3, x: 9, b: 3, h: 2}.\nAnswer: 27\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - 2*y + 9 + 1, 4*q - 13 = -5*y. Suppose q*p - 3*w = w - 2, -p = -3*w + 4. Suppose -32 = -4*g + 5*h + 9, g - 14 = p*h. Is g a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -956*w**3 - 27*w + 17*w**2 - 21*w**2 - 1 - 127*w**3 - w - 33*w**2 wrt w?\nAnswer: -6498","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 645554 is divided by 5990.\nAnswer: 4624","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -21.49 * 2903.\nAnswer: -62385.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 + 5*l**2 + 5*l + 1. Let n be s(-4). Let f be 9\/n*4\/(-6). What is the second derivative of 5*t**5 - 3*t**5 - 2*t**2 + 2*t**f + 5*t wrt t?\nAnswer: 40*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of 3*d**6\/80 - d**5\/10 + d**4\/16 - 4*d**2. Factor y(s).\nAnswer: 3*s*(s - 1)*(3*s - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (7\/((-343)\/(-42)))\/(3\/336). Are o and 95 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 - 28*k + 50. Give p(21).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 238 = -2*u. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14927 = 8*s + 14903. Let y(p) be the second derivative of 1\/6*p**4 + 0*p**2 + 12*p + 0*p**s + 0. Let z(t) = 18*t. What is z(y(h))?\nAnswer: 36*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of -5 - -2 - (-22 + -7) and 8?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 746917, 746941, 746963, 746983, 747001?\n\"Answer: -b**2 + 27*b + 746891","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*w - 44 = -16 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 (base 6) in base 13?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11674 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 56*g = 23*g + 30*g - 150, -10*g = -2*d + 104 for d.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 17 + k**2 - 30 + 13. Let m(g) = -g**2 - 33*g. Determine m(d(c)).\nAnswer: -c**4 - 33*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (7 - (6 + -3 + 1))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*m**2 - 24*m**2 - 6 + 39*m**2 - 5*m**2 - m**2 + 3*m**2 + (-m - 3*m + m)*(3*m + 2*m - 3*m) to the form f + y*m + q*m**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, -1, 0, 5, 9 in ascending order.\nAnswer: -5, -1, 0, 2, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(132) - sqrt(132)*2)*-5 - (1*sqrt(132)*1 - sqrt(132)))\/(-1*-3*sqrt(75)))**2.\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -m + 270 + 594. Calculate the remainder when m is divided by 86.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16897647 divided by -3.\nAnswer: 5632549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.94044542455 and -0.3.\nAnswer: 1.64044542455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 15756509 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5133 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3376, 6755, 10134, 13513, 16892, 20271?\nAnswer: 23650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of -a**4\/4 + a**2\/2 - 234*a + 137. Find the first derivative of g(t) wrt t.\nAnswer: -3*t**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 937 - 4701\/5. Let m = v - -79\/20. Factor -3*a + m + 3*a**2.\nAnswer: 3*(2*a - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 2 = -2*m, -2*m + 8 = 5*g + 2. Let s = -30 - -34. Suppose 0*l + 6 = -2*l - 2*q, s*l + q + 21 = 0. Which is smaller: l or m?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4185 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 15 = -d + 3, 4*k + 2*d - 16 = 0. Let h(g) = 9*g + 3 - 2*g**2 - 4*g - k*g. Let r(q) = 4 - q**2 + 2*q**2 - 3*q**2. Determine -4*h(j) + 3*r(j).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 52 - 52. Suppose 5*g - 4*n + 7 = 0, 0 = n - 3 - z. Let q = 3.4 - 3. Put -1\/4, q, g in increasing order.\nAnswer: -1\/4, q, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1039\/1562 - 37\/284. Calculate the common denominator of x and -41\/12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 30\/14 + 2\/(-1). Let k = -0.04 + 0.07. Let i = k + 0.97. Which is the closest to i? (a) 1\/11 (b) -3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k - 3*k + 0*k + 2 - 2*k - 2 + 4*k - 4*k + 2*k + (3*k + 3*k - 7*k)*(3 - 4 - 1) - 1 + 1 + k - 56*k - 57*k + 243*k + 49 - 38*k.\nAnswer: 94*k + 49","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of 5*b**3\/3 + b**2 + 8*b - 7. Let c(h) = 3*h + 6. Let z be c(-5). Is o(z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91 - 55 = 4*t + 2*s, 2*s - 48 = -5*t. Solve a - 13*a + t = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 12*r**2 + 6*r - 5. Suppose -3*y + 8 = -2*y. Let p be (-40)\/(-15)*12\/y. Is z(p) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2*p**2 - 9*p + 1. Calculate k(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -10792\/21, 5, 85?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1085 = -11*l + 12*l + 12*l + 18*l for l.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 46 - ((44 - (75 - 30)) + -34).\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -108 - -109. List the prime factors of 394\/g - (-2 - -3 - -1).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.0291 - 26.0109. What is u rounded to 1 dp?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1520 and 16720?\nAnswer: 16720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5 - 8 - (1 - -181)) + 1. Let a = h - -393. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-6 + 4 + 1)*(2 - 2 + 1) + 1 - 6 + 3 + (3 + 4 - 6)*(-3 + 2 - 1))*(-38 + 27 - 35)*(-b**2 + 0 + 0).\nAnswer: -230*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -418 - -421. Let j = -0.1 - 0. Which is the closest to 0? (a) j (b) y (c) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 25438.\nAnswer: 5\/25438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of ((-2)\/(-6))\/(10\/5488890*11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 78, 69, 62, 57, 54, 53, 54?\n\"Answer: u**2 - 12*u + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -53 + 88. Let b be 6\/112 + (-15)\/p. Which is bigger: -1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 - 3*o + 469. Determine a(-16).\nAnswer: 261","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - j - x - 46, -4*j + 4*x + 96 = 0. Is 22 <= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o - 124146 + 124146.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3 at most as big as 65.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -937*b - 19682. Give p(-21).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -1337 (b) -26 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/205, -10, -3, -0.0154, -1 in ascending order.\nAnswer: -10, -3, -1, -0.0154, -2\/205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c**2 - 13*c + 16. Let r be k(-12). Let p be (-75)\/r - (-2)\/8. Which is greater: -0.1 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -1.4758, -0.4, -0.2, -1, -2\/17?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -64, -42, -20, 2, 24, 46?\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 5*b + 3*t = -15, -6 = -2*t. Solve 6*k - k = 5*i + 30, 0 = i - 3*k + b for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 98703*d**2*q**3 - 2*d*q**3 - 119*d - 3*q**3 + 30 wrt d.\nAnswer: 197406*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7 + -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 13223 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 36282 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xk when two letters picked without replacement from xxzzzxxxxzkxkqlz.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 99132 and 308?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 63\/(12\/(-8) + 3). Let o = 237 + -241. Put g, -2, o, 2 in increasing order.\nAnswer: o, -2, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -48 - -77. Let o = -5 + 4. Let m(n) = -7*n + 1. Calculate the remainder when k is divided by m(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 856977?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -t**4 - 66*t**2 + 349.\nAnswer: -4*t**3 - 132*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 427 and 14083.\nAnswer: 14510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k**3 - 24*k**2 + 16*k + 58. Let a be c(11). Sort -14, -4, 5, a, 4.\nAnswer: -14, a, -4, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -103.\nAnswer: 5\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 104 and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17062302 * 0.1.\nAnswer: -1706230.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-104)\/64 - -2 - (-70)\/(-16). Put w, 4.3, 2 in increasing order.\nAnswer: w, 2, 4.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 12 - 3*n + 3*n**2 - 3 - 8 - 4 + 8*n. Let l(o) = -2*o**2 - 4*o + 2. Let m(k) = 182 + 4*k - 190 - 2*k. Let z be m(6). What is z*l(i) + 3*a(i)?\nAnswer: i**2 - i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -29627562.35 to the nearest 1000000.\nAnswer: -30000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 36 + 6. Suppose 3*o = -j - 0*j + 5, 5*o - 4*j - i = 0. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66229914.\nAnswer: 2, 3, 11038319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 + 3*w**2 - 16*w + 15. Let p be t(-6). Which is the second biggest value? (a) 0.06 (b) p (c) 1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -44*542.1\nAnswer: -23852.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(99) + 2 + (4*(sqrt(110)*-2 + sqrt(110) - sqrt(110)))\/sqrt(10))**2.\nAnswer: -20*sqrt(11) + 279","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 429*r - 7500. Let c be w(17). Are c and -204 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 e when three letters picked without replacement from eymyyymeyyey.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14 + -11. Let c be (-6)\/a*(1 + 2). Is (820\/12)\/(-5)*c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2826 + -2819. Solve f*r = -5*r - 12 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10)\/(-22) + 5\/((-220)\/(-24)). Which is the third biggest value? (a) 4 (b) n (c) 5 (d) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1196*k - 1188*k - 56. Factor 2*d - 10*d**3 + 3 - 10*d + 56*d**2 + k*d**3 - 13*d**3 - 17*d.\nAnswer: -(d - 3)*(4*d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 792*w - 2*w**2 - 792*w + 4*w**2.\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 12:04 AM?\nAnswer: 7:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*o**2 + 6*o**2 - o**2)*(o**2 - 1 + 1 + (0 + 0 + 2)*(o**2 + 3*o**2 - 6*o**2) + 2*o**2 + 2*o**2 - 3*o**2 - 3 + 6*o**2 + 3).\nAnswer: 48*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 8*f + 21. Let p(h) = 3*h + 7. Let n(c) = 6*p(c) - 2*w(c). Let k(x) = -5079*x. What is k(n(o))?\nAnswer: -10158*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 74 + -73. Let s = b - 10\/7. Sort s, -1\/2, 1\/3 in ascending order.\nAnswer: -1\/2, s, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 41 and 5?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36 and 1965312?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 17 and -4070.\nAnswer: -4053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/8 in 1\/5, -2, 1\/3, -4, -2\/55, -996?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 4*c**2 + 52*c - 69. What is the thousands digit of t(-35)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 56 - 86. Is k\/4*(-28)\/6 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + -3c92?\nAnswer: -3c90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 4.748\nAnswer: -4.748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 75 or 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 - -12. Which is the nearest to 0.2? (a) 5\/6 (b) -0.4 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 3*l - 31*l**2 + 23*l**2 + 9*l**2 + 4. Give b(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.611 + -0.175. Let f = t - 0.5. What is f rounded to 2 decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of 2*f**6\/45 + 8*f**5\/15 + 17*f**4\/9 + 20*f**3\/9 - 2*f - 38. Factor s(o).\nAnswer: 4*o*(o + 1)*(o + 2)*(o + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138 is divided by 53?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*w + 41*w - 2*w**3 - 20*w.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 3*o + 23, -2*o - 11 = -2*f - 3. Suppose t - g = 64, -2*t = -t - f*g - 80. Is t a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f - 13. Let w be i(38). What is the third derivative of w*a**5 + 3*a**2 - 13978*a**4 + 13978*a**4 wrt a?\nAnswer: 1500*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sauskffk. Give prob of sequence sff.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 45*p**3 - 61320*p**2 + 163280*p - 108800.\nAnswer: 5*(p - 1360)*(3*p - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6483533 a multiple of 3017?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5070293 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -10638871, -42555503, -95749881, -170221999, -265971851, -382999431, -521304733?\n\"Answer: l**3 - 10638879*l**2 - 2*l + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -65.505 * -1.36\nAnswer: 89.0868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of 24*f**2 + 20*f + 88. Is u(6) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -71, 2433, 4, 2 in ascending order.\nAnswer: -71, 2, 4, 2433","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 400031 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 + 16*s**2 - s - 22. Calculate w(-16).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 88890 = -30235. Let k = -234703\/20 + q. Calculate the common denominator of -27\/46 and k.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 402.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2*v + 3. Let z be p(-5). Let l(c) = c**3 + 6*c**2 - 6*c + 10. Let w be l(z). Calculate the highest common divisor of 9 and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-370)\/60)\/(-37)*-12?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 - w + 4)*(2*w - 2*w - w) - 2*w**2 - 2*w + 2*w)*(-5*w**3 - 3*w**3 + 5*w**3)*(4 - 3 + 2) + (-2*w**4 + 3*w**4 + w**4)*(3*w + 2*w - 2*w).\nAnswer: 15*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000105127 to 5 decimal places.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 617062?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 12:16 PM?\nAnswer: 2:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, a: 2, o: 3, c: 7, h: 2}. What is prob of picking 1 o and 1 a?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7.31310128 + 7.2181. Let g = d + 0.095. What is g rounded to seven decimal places?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1967318 divided by 1967318\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2\/17 (b) 2\/3 (c) -6 (d) 14.3 (e) 25 (f) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 PM and 5:38 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(2057) + 2)**2*-1*-6.\nAnswer: 792*sqrt(17) + 12558","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1979 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3 - 4*c**3 - 2 - 4*c**3 - 3 wrt c?\nAnswer: -24*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 13 + 10 + 32 - 55 + 5*q. Let v(f) = -40*f**2. Calculate v(j(l)).\nAnswer: -1000*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2*z**2. Let m(x) = -394*x**2 - 26014*x. What is m(g(b))?\nAnswer: -1576*b**4 + 52028*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of 0 + 11\/15*g**3 - 3*g + 2\/5*g**2 + 13\/30*g**4 + 2\/25*g**5. Solve j(o) = 0 for o.\nAnswer: -2, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*x - 145 = 1607. Let t = 142 - x. Put 6, t, 18 in descending order.\nAnswer: 18, 6, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - 5. Suppose -15 = -c*z + 29. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 940.\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -1, -0.1, -0.014, 1.\nAnswer: -11, -1, -0.1, -0.014, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-35)\/(-7) + (0 - 1). Suppose 3*x = v*q + 35, -5*x - 7*q + 15 = -5*q. Which is greater: -1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6836905?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-50 + 2424*h - 2423*h - 92)*(0*h + 3*h + 2*h)*(2*h - h + h).\nAnswer: 10*h**3 - 1420*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v**4 - 10*v**3 + 15*v**2 + 20*v - 20 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-6)\/9)\/((-1)\/6). Let w = 2 - 1. Let v = -152 + 148. Sort c, w, v.\nAnswer: v, w, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*p + 71*p = -84. Let s be 132\/154*(-2)\/p. Let q = -1.2 - -0.2. Which is the closest to -0.1? (a) q (b) s (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-15)\/(-25) - 207\/(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8332.88 rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, -20, 9, -888, -3 in increasing order.\nAnswer: -888, -20, -5, -3, -1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 1838*m + 9*m**2 + 4 - 1839*m - 6*m**3 - 7 + m**4 to the form x + k*m + l*m**3 + u*m**2 + n*m**4 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11030796?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 3*y - 6*y + 520, 643 = 5*p + 2*y. Let g be (-6)\/16*(-1 - 341). Let s = p - g. Which is the third biggest value? (a) s (b) 3 (c) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -31, 0 in decreasing order.\nAnswer: 0, -6, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 3*u = -82, u - 124 - 65 = -2*q. Let l = q + -63. Suppose -v + l = -2*r, -5*r = v + 4*v - 95. Is v a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*o + 248 = -15*o + o for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 498682665?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (21\/49 + 138\/(-28)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 651 and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -272036.2 and 83.4.\nAnswer: -271952.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of m**8\/1848 + m**7\/1155 - m**6\/132 - m**5\/66 + m**4\/33 + 4*m**3\/33 - m**2 + 35. Suppose d(j) = 0. What is j?\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(87\/12 - 7). Sort j, 3, -15, 1.\nAnswer: -15, j, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4800548 or 4800549?\nAnswer: 4800548","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/((-20)\/(-3)) - (-5232)\/5995.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00089 to 4 decimal places.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28*i**3 + 28*i**3 - 61*i**3 - 392*i**2 + 1860*i**2 to the form a*i**3 + x + p*i**2 + l*i and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of -z**4\/12 - 2*z**3\/3 - 12*z. Let q(p) be the third derivative of -p**5\/15 - 165*p**2 - 7*p. Give d(q(k)).\nAnswer: -16*k**4 + 16*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -1)\/(11\/1452*-6).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1429380 + -5.\nAnswer: 1429375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -171915*p**4 - 133432*p**2 wrt p?\nAnswer: -4125960*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 + m**2 + 2. Let c be t(-2). Let l be -1 + (-54)\/2 + c. Is (l + 7)*(-1 - 0) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3421 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.3 - 0.1. Let d = a + -0.200007. What is d rounded to five decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*r**2 + 4*r**2 + 0*r**2 + (0 - 2*r + 0)*(-5*r + 12 - 12).\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 657?\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 94 and 1504.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 1 + 6 = -t, -4*t - 3*c + 24 = 0. Solve -2*w = 5*u - t, 2*u - 7 + 1 = -2*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*y**3 + 129*y + 1 - 129*y to the form u + o*y**3 + m*y**2 + w*y and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -527117 (base 9) in base 3?\nAnswer: -120221010121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*t**3 + 7*t**3 - 4*t**3 + (0 - t + 0)*(1 - t - 1)*(3*t - 3*t - 2*t) - 2*t**2 - t**3 + 2*t**2 + (3*t + t - 5*t)*(-3*t**2 - 4*t + 4*t).\nAnswer: 6*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -4*g - 4 - 2, 0 = 5*v - g - 87. Let l(x) = 24*x - 4. Let y be l(1). Suppose 0 = -5*f - b + 47, 5*f - v = -4*b + y. Does 5 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*r - 232 = -76*r for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 70\/159 and -97\/18020.\nAnswer: 54060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 5, 37760, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*b + 1813 - 20*b + 43*b + 70 + 2*b**2 in the form z*b**2 + n + c*b and give n.\nAnswer: 1883","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6945 is divided by 3445?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1433130*w + w**2 + 1433130*w.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2188015045 to the power of 1\/2, to the nearest integer?\nAnswer: 46776","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -460157, -920312, -1380467, -1840622, -2300777, -2760932?\nAnswer: -3221087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7 - (3 + 2 + 0). Suppose -4*b - 3*b + 7 = 0. Sort -1, b, -4, x in ascending order.\nAnswer: -4, -1, b, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*q - 102*q = -3301740. What is q rounded to the nearest 1000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4742 - 4747. Let q(g) = -g - 1. Let h be q(-4). Let m = 13 + -12.9. What is the third biggest value in n, h, m?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + -18 - (-4 - -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the third derivative of o**6\/120 - 7*o**5\/30 - 4*o**4\/3 + 1951*o**2. Factor p(m).\nAnswer: m*(m - 16)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -65*j - 23*j + 55*j. Let m(h) = 2*h - 2. Let d(a) = 1. Let o(c) = 2*d(c) + m(c). Determine u(o(q)).\nAnswer: -66*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, -5, 439, -3.\nAnswer: -5, -3, 0, 4, 439","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1294246 > 1294260?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11250 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of -v**2 + 3*v + 545. What is f(-13)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3524 + 0.04?\nAnswer: -0.3124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*b*g**3 - 675*b*g + 14219*g**3 - 23*g wrt g.\nAnswer: 12*b*g + 85314*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 511 is divided by 368?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -815973348 divided by -6?\nAnswer: 135995558","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 less than 74848?\nAnswer: 74847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 88\/14 + (-6)\/21. Let n = k + -6. Suppose -v + 1 - 6 = 3*w, -3*w - 15 = n. Calculate the smallest common multiple of 1 and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 - 15*n + 35. Let t be f(-17). Let w(g) = 4*g**3 - g**2 + 2*g - 1. Give w(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -5*d - 56. Suppose 3*u + 5*v + 53 = 0, 24*v + 41 = -3*u + 22*v. What is x(u)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12238 - 13118 = -55*b. Solve -4 = -3*u - 2*m, 2*u + 5*m = u - b for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 10 (b) -2\/7 (c) 184207 (d) -0.3 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -51 + 55. Calculate the lowest common multiple of n and 9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1505505083 rounded to two dps?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 15*g**3 + 19*g**2 + 13*g + 9. Let b(r) = 2 + 7*r**3 + 9*r**2 + 3*r - 1 + 3*r + 3. Let q(p) = -13*b(p) + 6*l(p). What is the tens digit of q(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -112 times 3\nAnswer: -336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-2)*(-630)\/(-7). Let q be 5\/2*834\/v*9. Suppose 0 = -5*k + 2*k + q. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 15\/9 - (-2 + 10\/6). Let n(v) = 2*v + 33804*v**2 - 33805*v**2 - i*v. Let a(m) = -85*m. What is a(n(u))?\nAnswer: 85*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum 301630 and 8.\nAnswer: 301638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.147 * -427503.\nAnswer: 62842.941","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 + 18. Calculate the least common multiple of 14 and j(0).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 135113 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 0.9. Let r = -863\/5 - -172. What is the nearest to 1 in r, k, -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*i = 70*i - 952. Suppose -16 = 10*s - i. What is the remainder when (1\/(-2))\/((-2)\/136) is divided by s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of f**5\/60 + 19*f**2. Let k(a) = 11*a**2 - 8*a. Let z(q) = -7*q**2 + 5*q. Let p(r) = 5*k(r) + 8*z(r). What is v(p(g))?\nAnswer: g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -5*v + v - 37, 3*v + 12 = 0. Is z equal to 39\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-118)\/(-714) + 6\/(-51) - (-50)\/1596?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 13 = -2*r + 3 + 6, 11*r - 55 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 AM and 12:11 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 6 + 2*z + z**2 + 13*z - 2 + 0*z - 2*z. Calculate m(-11).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -26*m**3 - 50*m**2 + 32*m + 56 = 0. Calculate m.\nAnswer: -2, -1, 14\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 602 and 287412?\nAnswer: 2011884","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -21*h + 29*h**2 - 30*h**2 + 4 + 2. Let v be z(-21). What is the greatest common factor of v and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.76 + -2.1. Let r = -0.04 - g. Let i = -1.3 + r. Which is the closest to 2\/3? (a) -3 (b) 4\/3 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*t - 9*t + 80 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 8 = 3*k, 0 = -4*k - 0*k + 16. Suppose -h*j = -2*m + 32, -m - 2*m - 2 = 4*j. Solve -u + 6 = 4*y, 2*u + y - m = -y for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 1 - 3 - -4) + -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.557 to 1 dp.\nAnswer: 12.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37471716?\nAnswer: 2, 3, 1040881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 + 4*g - 1. Let n be z(3). Let h = 407 - 290. Suppose -n*v + h = v. List the prime factors of v.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 78 = -22. Suppose z*x - 65 - 33 = 0. What is the common denominator of -8\/11 and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5093 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 - 2*c**2 - c + 9. Let q(a) = 2*a**3 - 3*a**2 - a + 18. Let h(z) = 7*p(z) - 3*q(z). What is the units digit of h(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6356842 is divided by 78.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 + 63*y**2 + 70*y + 3907. Give s(65).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.162 - -0.03082182.\nAnswer: 0.19282182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*h + 5*h + 0*h)*(3*h + 4*h - 6*h) - 4*h**2 + 5*h**2 - 4*h**2 + 4*h**2 - 2*h**2 - 4*h**2 to q + i*h**2 + w*h and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r + 4*r - 6*r)*(2*r + 3*r - 3*r) + 110*r**2 + 892*r - 892*r + 6*r**2 - r**2 - 4*r**2.\nAnswer: 107*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*a**4 + 160*a**3 - 295*a**2 - 160*a + 300 = 0. What is a?\nAnswer: -1, 1, 2, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 26448, 52485, 77684, 101625, 123888, 144053, 161700?\n\"Answer: -70*b**3 + b**2 + 26524*b - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, s: 2, c: 7}. What is prob of sequence zs?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 1 = 3. Let t(n) = -n + 9. Let z be t(7). Let u be (-4)\/(z*(-3)\/9). Solve -a*o = -u*b + b, -5*o = -4*b for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -72 + 71 + (1 - -4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/1223, 4\/3, -1.4, 1\/6?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(-2) + (-10)\/((-140)\/77). Find the second derivative of 868*a**5 - a**4 - 81*a - 849*a**5 + a**o wrt a.\nAnswer: 380*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > 397230?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/294 and 13\/490?\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p - 1. Let b(m) = 4*m + 13. Let f = -3983 - -3982. What is f*b(i) - 6*z(i)?\nAnswer: 2*i - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -207, -2, 70, -0.436?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/5*110\/(-44)*(-247)\/39.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 - -7. Let w be ((-8)\/10)\/((-4)\/(-30)). Let i be 45\/u*4\/w. Solve 23 = -7*c + 3*c - 3*p, -2*p = -i*c - 23 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3468718 and 388181078?\nAnswer: 4269991858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*m - 3 + 2 + 0*m + m + 2*m - m + (0 - 2*m + 0)*(-2 + 3 + 1) - m - m + 3*m + 2*m + 3*m - 4*m - 1 + 1 - m + 1 - 2*m - 1 + 0*m + 3*m - 4*m.\nAnswer: -m - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.042 in -8\/9, 2\/3, -0.1, -10?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 + -9.09. Let n = k - 0.11. What is the nearest to 1\/2 in -0.4, -3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 5*f = -18 + 87, -5*n - 93 = f for n.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*o + 23*o**2 + 28*o**5 + 3*o - 20*o**5 wrt o?\nAnswer: 480*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 185 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -47952 + 102253. What are the prime factors of u?\nAnswer: 13, 4177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 3*p - 15. Let q be v(8). Suppose 5*c + 4*i - 18 = 0, 3*c + 4*i - q = 5. Suppose -a - 3*w = 0, -5*w = -4*a - c*w. Are -1 and a nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11835 and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*s = -10*s - 20. Let n(a) be the first derivative of 1\/9*a**3 + 0*a + 1\/18*a**6 - 3 - 1\/12*a**4 + 0*a**2 - 1\/15*a**s. Factor n(m).\nAnswer: m**2*(m - 1)**2*(m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + -5.3. What is p rounded to zero decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -16*j**2*u**2 + 2*j**2*u - 31*j**2 - 3*j - 1054*u**2 - u - 2 wrt j.\nAnswer: -32*j*u**2 + 4*j*u - 62*j - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 911 is divided by 235.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uwlbllurwluroll. Give prob of picking 1 u and 2 r.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.036 and 43859092232.\nAnswer: 43859092232.036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(1\/7)\/(l**7*l)*(l**(-1\/3))**(-32)*(l**(-2\/3)*l**3*l)\/((l\/((l**(2\/3)\/l)\/l))\/l*l**(-1)) assuming l is positive.\nAnswer: l**(122\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i + 7*i - 4 = 2*r, -3*i + 3*r = -6. Solve -34*v + 32*v - 4 = i for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 25020 and 109671.\nAnswer: 6580260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-r + r - r)*(8*r + 24*r + 57*r + 6*r) as s + f*r**2 + y*r and give f.\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*m = -4*m + 41*m - 23*m + 52 for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of -s**2\/2 - 1. Let k(v) be the second derivative of -35*v**4\/12 - 100*v. What is k(x(o))?\nAnswer: -35*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from jjjjjjjjjjjfjjjjjj?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/((-13)\/((-1755)\/(-60))*1).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2 - 2*k + 2. Let q be s(-4). Let i(v) = v**3 - 6*v**2 + 7*v - 5. Let h(j) = 4*j**2 - 4 + 6 - 3 + j - 5*j**2. Determine q*h(b) + i(b).\nAnswer: b**3 + b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 54.\nAnswer: -5\/54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = h + 3*b + 8, 5*b + 25 = -3*h + 9 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1698118 bigger than -1698119?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1 + (3 - 34\/20) and 69\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -13*c + 52. Solve c*w - 16 - 4 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 159983 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**3 + 3*l**2 - 3*l**2)*(-2*l + 3*l + l) - l**4 - 2*l**4 + 5*l**4 + 9*l**4 - 1 + 1.\nAnswer: 7*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1685 rounded to three decimal places?\nAnswer: -0.169","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 35541.56 rounded to the nearest one thousand?\nAnswer: 36000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -11*l + 264. Let n be r(24). Suppose x = 3*m + 411, n*x - 2*x - m + 843 = 0. Does 21 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.016 times 3041\nAnswer: 48.656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100*j**2 - 209*j**2 + 288*j**2.\nAnswer: -21*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -24*k + 22. Let r(g) be the second derivative of -g**3 + 5*g**2\/2 + 136*g. Let z(c) = 9*r(c) - 2*u(c). What is z(3)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u**(-1\/2)*u)\/u*u*u\/(u**6\/u)*u assuming u is positive.\nAnswer: 1\/sqrt(u)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6948858 and 661796?\nAnswer: 13897716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*k - 3*x - 42, 2*x - 16181 = -2*k - 16177 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s**(1\/4))\/s)\/(s*s**(1\/2))*(s*s**(-2\/13)*s)\/(s\/(s*s**(-7)*s))*(s**(1\/3)\/s*s\/(s**(2\/17)\/s))**(-39) assuming s is positive.\nAnswer: s**(-45805\/884)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((-2*sqrt(420))\/sqrt(10))\/(2*sqrt(294)))*5.\nAnswer: -20 - 5*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in seventeen tenths of a millennium?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -3345, -4, -0.2, -10270?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4\/5, 0.5, -4.2, 2\/17?\nAnswer: -4.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 602 divide 24391234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 19965678 to the power of 1\/3, to the nearest integer?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -598*g + 596*g + 12 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-7)\/(-3))\/((-38)\/(-342)). Suppose c + 43 = 16*u. What is the greatest common factor of u and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3a3593 (base 11) to base 15.\nAnswer: c7de3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 + 22*m**2 + 21*m - 25. Let f be u(23). Let g = 67 + f. Let c be 1 - g*((-37172)\/16 + -2). Round c to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -3*o + 1. Let f be a(0). Suppose 5*c - 196 + f = 0. Suppose -7*u + c = -3. Is 2 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 371*c**3*d**2 - 3*c**3*d - 152*c**2*d**2 + c**2*d - 2*c**2 wrt c.\nAnswer: 2226*d**2 - 18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -4*v - 8, -5*u + 2*v + 6 = 2. Let z be 1\/3*(u + 6). What is the least common multiple of 18 and (z - -17) + (3 - 0)?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4668 - -4668. Let g = 10 + -4. Let c be (1\/(-6))\/(g\/8). What is the nearest to u in -3\/7, c, 1\/4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i. Let m(a) = a**2 + 3*a. Let k(d) = -m(d) + p(d). Let q be (-3 + 3)\/(-4) + 2. Let z(g) = g**2 - g + 1. Give q*z(f) - k(f).\nAnswer: 3*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 67393609 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 1\/3*w**4 - 2\/3*w + 1\/3*w**5 - w**3 - 5\/3*w**2.\nAnswer: w*(w - 2)*(w + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5786 and 114?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18713305?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 87792704 a multiple of 700?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -10 and -0.061?\nAnswer: 0.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 + 6*d**2 + 6. Let x be f(7). Let y = x - -61. Calculate the remainder when y is divided by (-30)\/4*44\/(-33).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 1 (b) 1\/3 (c) -46.1 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -344359728 divided by -5279.\nAnswer: 65232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 - 7*c + 2. Let o be f(7). Find the third derivative of -4*m**o - 13*m**2 - 8*m**6 + m**6 wrt m.\nAnswer: -840*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136*d = -57*d - 823 - 362 for d.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = -f + 5*h + 24, -3*h - 76 = -5*f. Suppose -5*m + 4*m = -f. Is 997\/5 + m\/(-35) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3830773, -3830772, -3830771, -3830770?\n\"Answer: p - 3830774","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 741932120?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2497515 and 81303.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4511 + -8941\/2. Calculate the common denominator of 1\/2762 and p.\nAnswer: 2762","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.044 - -0.0439884. Round a to 6 dps.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -28\/351790571 and 18\/223866727.\nAnswer: 2462533997","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from vrvovrorrr.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1227 and 5384894?\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ynayynncnnnnynnynnn. Give prob of picking 2 y.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3670095.7799911 + 3670098. Let s = y - 2.22. What is s rounded to 6 decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5922*t + 128 = 5906*t for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q - 63 + 9 + 36. Give s(-13).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of -2*y**3\/3 - 25*y**2\/2 - 4461. Calculate g(-12).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 10*c**2 - 10*c - 28. Let j(h) = -3*h**2 + 3*h + 9. Let u(n) = 7*j(n) + 2*p(n). Let g = -125 - -130. What is u(g)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -76360, -152908, -229456, -306004, -382552?\n\"Answer: -76548*o + 188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -657 + 2237 = 5*l. What is the hundreds digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -18*w**2. Let t(b) = 3*b**2 - 117. What is t(i(s))?\nAnswer: 972*s**4 - 117","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p - 79. Let h be s(28). Let n = 161 + h. Calculate the least common multiple of n and 21.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 + 3*p + 3. Let n be u(3). Let m(j) = -7*j**2 + 0*j**n + 0 + 9*j + j**3 - 6. What is the remainder when 35 is divided by m(6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 188 and 235893?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0767620961 to four dps.\nAnswer: 0.0768","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 59 + -58.983. Let i = -0.117 + q. Let c be (2\/6)\/(1\/(-3)). Put c, 0, 2, i in decreasing order.\nAnswer: 2, 0, i, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m**2 - 6*m**2 + 4*m**2)*(1 - 2*m - 1) + 2*m**3 - m**3 + 2*m**3 + 261950 + 1461*m**3 - 261950 + 916*m**3.\nAnswer: 2376*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 18\/626419 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -1896937*s + 18969363. Calculate x(10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 PM and 4:16 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -5*w + 440, -w + 6*c + 88 = c. Let v = w - 37. Suppose 0 = 4*f + 19 - v. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 20521606?\nAnswer: 10260803","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - d - 15, 3*d - 12 = 7*d. Calculate the common denominator of 46 and -6*((15 + 0)\/g - 3).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/(-8))\/(2\/32). Suppose -57 + 72 = 5*x - 5*w, -12 = x + 4*w. Solve 5*l + 4*g - u + 2 = x, -l = g - 2 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 4\/3 (c) -2\/24257 (d) -1.1 (e) -53 (f) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26135, -29232, -32325, -35414?\nAnswer: -38499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -81 - -80.4. Which is the third biggest value? (a) -0.5 (b) 2 (c) 0.5 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16346033.\nAnswer: 11, 1486003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4498025 is divided by 352.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/5, -1, -4.95, 2, 74?\nAnswer: 74","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 15) to base 11.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 93.71 from -4587627.\nAnswer: -4587720.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8124747053 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -z**2 + 2*z**2 + 0*z**2 + 4 in the form o + j*z**2 + d*z and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 0) + 145 + -144\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 69\/(-5)*(-3840)\/(-288)*(-1)\/8.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 3*s - 10 = 2*r, 2*r = s + 15. Let b be (-2)\/r - 35\/(-25). Suppose -4*p - 6 = m + 10, p = -4. Does m = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2577504 = 16187*o - 214202 for o.\nAnswer: -146","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 143 = -163 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 49686391627 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 14 = 3*k, 11*h + 2*k = 8*h - 2. Calculate the least common multiple of 6 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 75, -0.028, 0.03, -77 in ascending order.\nAnswer: -77, -0.2, -0.028, 0.03, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 5*c = 24, -4*c - 79 + 50 = 3*p for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/18*-5 + (-4)\/6. Let r = 64 - 698\/11. Is r equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 - 18 - 23*s**2.\nAnswer: -23*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*z + 99*z + 690 = -94*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11766647327 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.0471 + 88.2529. Let q = 86 - n. Let k = -3.3 - q. What is the nearest to 0 in -6\/13, k, 2?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/2, 154, 1, -2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00051484359 rounded to seven dps?\nAnswer: -0.0005148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28*c - 21*c - 18*c)*(-2 + 2 - c + 2).\nAnswer: 11*c**2 - 22*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21707*f**4*y + 469*f**3*y**2 - 102880*f*y + 180*y**2 wrt f?\nAnswer: -260484*f**2*y + 2814*f*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.9+473127\nAnswer: 473126.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 25 - 9. Let l = h - -11. Solve -3*n + l = 15 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -i - h, 0 = i + 5*h - 3. Sort 4, 5, i.\nAnswer: i, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150*r**5 - 17858*r**4 + 90998*r**3 - 124846*r**2 + 48880*r + 2976 = 0 for r.\nAnswer: -124, -4\/75, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2*d + 25. Let w be f(-12). Let c(l) be the first derivative of 480*l**2 + 9. Let g be c(w). What is g rounded to the nearest one hundred?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 + 3*i. Let s be c(-4). Let n be 270\/35 - s\/(-14). Suppose -9 - n = -m. List the prime factors of m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -103*y - 2. Suppose -4 = 7*s + 3. Let n be x(s). Let a = n - 64. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18 - -8 - (2 + -16 + 0)) + -36?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*s - 2*s + 4*s - 6*s + s - 1 + 6*s - 4*s + s + 4*s + (4 - 3 - 3)*(4*s - 5*s - s) as b + o*s and give o.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7011007 divided by -1?\nAnswer: -7011007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 2) to base 11\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2, -53, 3465, -4\/3, 17?\nAnswer: 3465","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 3 + -1 - ((117 - 106) + -61 + -20).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 - 15 = -5*v. Suppose -6 = 2*j + 4*q, v*j = 8*j - 4*q - 21. Sort j, 1, -36 in decreasing order.\nAnswer: 1, j, -36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1761539 divided by 4?\nAnswer: -1761539\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -4\/27?\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 255\/11 - (-24)\/(-132). Solve 5*b - d = 2 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-1 + sqrt(175))**2 + sqrt(343) + 0) + -4 - -3*(-4 + (sqrt(49)\/(sqrt(441)\/sqrt(7)))**2).\nAnswer: -569\/3 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1517 (base 8) in base 7?\nAnswer: -2320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/(5\/(210\/4)*518\/(-37))?\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -108945, -108939, -108929, -108915?\nAnswer: -108897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 13*q + 9. Let y(b) = 7*b + 5. Let k(r) = 6*x(r) - 11*y(r). Let i(j) = 3*j - 3. Let d(w) = 3*w - 13. Let m be d(3). Give m*k(s) + i(s).\nAnswer: -s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 76389, 152799, 229233, 305691?\n\"Answer: 12*p**2 + 76374*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28 - -18) + 0 - -2.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*t**2*w**4 + 32*t**2*w**2 + 926*t**2 with respect to w.\nAnswer: 24*t**2*w**3 + 64*t**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1427904.638 to the nearest 1000.\nAnswer: 1428000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 80 = -3*o, d - o = 4*o - 12. Let q be (-2)\/(-1)*1\/d. Put q, 3, 1 in decreasing order.\nAnswer: 3, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2544457 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of s**3 - 5. Let c(x) = -2*x**2 + x**2 + 0*x**2. Determine z(c(y)).\nAnswer: 3*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -67*b + 317. Give m(4).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.0789744372 and 0.6.\nAnswer: 0.5210255628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-8)*(0 + 0). Let m(h) = r*h - 5*h + 3*h - 7. Let l be m(-6). Solve 5*b = 4*j - 4 + l, 0 = -3*j - 5*b - 27 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-140)\/21)\/(710\/781*(-4)\/(-30))?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 84 + 100. What is the greatest common divisor of d and 92?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7137832 is divided by 1826?\nAnswer: 1824","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y = -2*i + 2*y - 17, -i - 7 = y. Which is smaller: i or 39?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/40*-16)\/((-2)\/(-5)). Let j be (8\/12)\/(f\/180). Suppose -60 - j = -10*m. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/868 and 8\/155.\nAnswer: 4340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 8 - ((-209 - -214) + (-1 - -9))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 4*a + a + 25, 5*f - 2*a + 4 = 0. Let u be -1 - f*(-22)\/16*12. Is 33 a factor of 5 - (u*2 - 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2957814 is divided by 178.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 51, 51, 63, 93, 147, 231?\n\"Answer: k**3 - 7*k + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3297\/2*(1 - (-6)\/(-18))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.427 + 1616642734.\nAnswer: 1616642732.573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d + 23. Let r be i(11). Suppose 5*f - r = f. Let q = -5 - -7. Solve -7 = -5*n + f*b - 2, n + q*b + 12 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (56\/(-84))\/(6\/(-81)). What are the prime factors of 5 + 510 + -2 + d?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22771 (base 9) to base 11.\nAnswer: 10479","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.12 times -66.52151\nAnswer: 7.9825812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7 - 270b5?\nAnswer: -270ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -4*y + 838, -3*y = -2*l + 294 - 923. Calculate the remainder when y is divided by 29.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76454 rounded to the nearest 1000?\nAnswer: 76000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*s - 5331913 = -5332153 for s.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/12 at least as big as 14079?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15953561?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 52 and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 115*k*l**3 - 3*k*l**2 - 67*k*l + 2*k + l**3 - 2*l**2 wrt l.\nAnswer: 690*k + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 k when two letters picked without replacement from {v: 7, k: 9}?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of -u**5\/60 + u**4\/6 + 8*u**3\/3 - 11*u**2. Let q be j(6). Solve -q*f = f - 5*d + 5, 0 = 2*d + 6 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 36513574 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -466165704.\nAnswer: 466165705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 times -5950?\nAnswer: 35700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 146775.\nAnswer: 3, 5, 19, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - 23. Let i = j + 0. Let f = 31 + i. Solve f*y - 2 + 11 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 7*g + 1. Let o = -9 + 9. Suppose f + 4*n - 11 = -n, o = -f + 5*n - 9. Is 5 a factor of z(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 850 - 2037. Let h be 2\/6 - (-35246)\/30. Let o = g + h. Find the common denominator of o and -73\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(2 + sqrt(2299) + -4 - (1*(2 + sqrt(2299)) + sqrt(2299)))*-1)**2.\nAnswer: 352*sqrt(19) + 9260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(2736) + 1)**2.\nAnswer: -48*sqrt(19) + 10945","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 17901, 68685, 152349, 268893, 418317, 600621, 815805?\n\"Answer: 16440*h**2 + 1464*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/99 not equal to 973?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2670\/18 - -2*(-1)\/(-3). Let c = -144 + s. Solve 0 = 3*q - 12, 2*q + 3*q = -5*z - c for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1384550272?\nAnswer: 2, 7, 31, 7121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2188*o**3 + 2243*o**3 + 2053*o**3 + 2218*o**3 - 11019*o**3 + 2206*o**3.\nAnswer: -111*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 92237651?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*p - 27*p + p.\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*g**2 - 42*g - 19*g**2 + 42*g + 48*g**2.\nAnswer: 13*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 - 21 - 8*s + 2*s.\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -11*k + 15. Let i be m(-9). Suppose 149 = t - q, 3*t - 4*q = i + 332. Suppose -146*r - 272 = -t*r. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 PM and 12:27 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a millimeter in nanometers?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 42156029?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 27496 = 2*k - 14766, 3*k = -3. What are the prime factors of b?\nAnswer: 2, 3, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i + 5*i - 3*i + (0 - 4 + 3)*(-i - 3 + 3))*(2*i**3 - 3*i**3 - i**3).\nAnswer: -12*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 62666 times 456?\nAnswer: 28575696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -143806 to the nearest one hundred.\nAnswer: -143800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 9*l + 62. Let g be p(-5). Suppose -5*i + 133 = -4*m, 4*i = 5*i + 4*m - g. Does 6 divide 624\/15 - (-10)\/i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -4*g**3 + g**2 - g - 1. Let n be i(-1). Suppose 554 + 2516 = n*a. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -950 = 7*b - 3652. Is 18 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -996 + 1001. Solve 5 = -z*q + 25 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -277\/4 less than or equal to -68?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 905*w**2 - 721*w + 16. Give x(1).\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q**2 - 40*q - 200. Give j(-13).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 13*l - 27*l**2 + 16*l**2 + 7 + 13*l**2. Let m be a(-6). Are m and 1 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/37 (b) 0.6 (c) -0.2 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c**3 - 2*c**2. Let k(z) = 2*z**3 - 3*z**2 + z. What is 3*g(i) - 2*k(i)?\nAnswer: 2*i**3 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9870*k + 272967 + 33003 = 0 for k.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_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: What is -0.06119329 rounded to 2 decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4355592?\nAnswer: 2, 3, 127, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*u**3\/7 - 958*u**2\/7 - 136*u + 1912\/7 = 0. Calculate u.\nAnswer: -478, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -48 - -52. Solve s + 15 = f*s - 3*o, 0 = 4*o for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - -4. Is 2 less than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.06 <= 93068?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = s - 20, -s - 8 = -2*s + 2*n. Solve 7*d = -s*d + 28 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*g**3 - 5*g - 5*g**3 - 3*g**2 + 26 - 31 + 2*g + g to v + x*g**2 + h*g**3 + u*g and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3*((-1)\/(-3) - 0). What is the remainder when 2*(150\/4)\/3 is divided by (i - 2\/4)*-6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 PM and 10:41 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -48.59 rounded to zero decimal places?\nAnswer: -49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-25)\/(f**(-5\/2)*f) assuming f is positive.\nAnswer: f**(-47\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -3 + 9*f**2 + 3*f + f**3 - 4*f**2 - 2*f**3. Is y(5) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41884, 41888, 41886, 41872, 41840?\nAnswer: 41784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 247 + 226. Let f = 8882610 + -8883082.9783. Let i = f + a. Round i to 3 decimal places.\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 393874272 divided by -98468568?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -175240 to the nearest 1000.\nAnswer: -175000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of -d**2 - 953. Let n(k) = -k - 86. Calculate n(m(j)).\nAnswer: 2*j - 86","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 3*t = 26, -3*y + 5*t + 0 = 5. Let x(u) = -u + 1. Let k(f) = -2*f - 3. Let p(s) = k(s) + 4*x(s). Is p(y) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, f: 1, v: 7}. What is prob of picking 2 v?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, 8, 0.05, -4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -79150129 <= -79150125?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 80*o**2 - 3.\nAnswer: 80*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (44\/(-99))\/(280\/(-1380)*-23).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 2*m - 140. Let f(q) = 2*q**2 - 41. Calculate f(v(c)).\nAnswer: 8*c**2 - 1120*c + 39159","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3a9ac (base 13) to base 14\nAnswer: -2bba4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 35 in 0.3, 1\/1673, 2, 0.17?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 182 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*b**2*v**4 + 2*b**2*v + 13175*b**2 + 27744*b*v**4 + 36*b*v**2 + 2*v**4 - v wrt v?\nAnswer: -72*b**2*v + 665856*b*v + 48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a milligram in micrograms?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggvggbvvvfgfmggmy. Give prob of sequence mbvf.\nAnswer: 1\/3570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 676*i**5 + 822*i wrt i?\nAnswer: 13520*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*m**3 - 106 + 4*m + 106 + m.\nAnswer: 16*m**3 + 5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/26756464 and 71\/20.\nAnswer: 133782320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12387\/8 + -3111\/2. Let u = 11\/8 - i. Let z = u + -9. Is 0.5 >= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-169)\/(-3) + (-1)\/(-3)*-1. Is 2\/(-7) - (-4440)\/d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2*y - 10. Let s be t(-9). Suppose -20 = -4*n + s. Is n a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32 - 54. Let m = g + 39. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 3*j - 19 = 0, 2*j - 2 + 4 = -5*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - 2041032?\nAnswer: -2041032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 448 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1995)\/532*(-13)\/((-5720)\/16).\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 337414 and 784.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 4912 = 5*q. Suppose -2*g + 486 = -q. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27 divided by 8226898\nAnswer: 27\/8226898","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -0.2 (c) -3343 (d) -3 (e) 7 (f) -82\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 204\/48 + 2\/(-8). Let f = k - -8. Does 2 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t - 5. Let n be a(4). Let b = 11 + n. Solve 3*r + 2 = -b for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of -o**6\/720 - o**5\/40 - o**4\/8 + 2*o**2. Let i(h) be the second derivative of c(h). Differentiate i(n) wrt n.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**4 + 12 + 9*v**2 + 0*v**4 + 0*v**4 - 6*v**3 + 24*v.\nAnswer: -3*(v - 2)*(v + 1)**2*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 9*v**3 - 16*v**2 + 12. Let n(u) = -11*u**3 + 20*u**2 - 12. Let w(o) = 5*j(o) + 4*n(o). Give w(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7601906 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddxdddxxddd. What is prob of sequence xxdd?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -14698 divided by -359\nAnswer: 14698\/359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k + h - 115, h = -5*k + 2*h + 125. Solve 0 = f - 1, 0*p + 4*f - k = 5*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 116 - 109.95. Let h = z - 0.05. Let n = h - 5. Which is the closest to n? (a) 0.1 (b) 0.2 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2019 and -0.1098.\nAnswer: -2019.1098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*c**2 + 8 + 14*c**2 + 6*c + 9*c**2)*(c**3 + 3*c**2 - 3*c**2).\nAnswer: 10*c**5 + 6*c**4 + 8*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ac4 (base 16) to base 11\nAnswer: 2086","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 5 = -2*x. Let j(c) = -1 + 8*c**3 - c**2 + 2*c + 15*c**3 - 3*c + 2*c. What is the remainder when j(x) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*c + 2997 = 14*c + 26*c. Solve 3*j - 3*v - 12 = 0, -32*v + c*v = -3*j + 16 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 + 22*v + 179. What is the hundreds digit of a(26)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11108930293 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than 7\/137113?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum 860492602509.6 and 3.7.\nAnswer: 860492602513.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21 + -12222?\nAnswer: -20020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (0 + -1 - 1)\/((-5)\/10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -61319102 times 0.5\nAnswer: -30659551","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = 0, 0 = -30*j + 26*j - 5*v - 12 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 1077429385?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-223)\/25 + 9 - 91773\/2475?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 AM and 3:27 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1409)\/(-9) - 106\/(-318). Let g = r - 152. Find the common denominator of 47\/8 and g.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 1458*c**2. Let w(g) = -3 + 3 + 5433*g - 5434*g. Determine w(p(b)).\nAnswer: -1458*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 7*c**3 + 7*c**2 - 5*c + 1. Let l(d) = -d**3 - d**2 + d - 1. Let i(m) = -6*l(m) - o(m). Let a be i(0). Suppose -25 = -5*h - a. Is h a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/5 of a millennium?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooy when three letters picked without replacement from {y: 3, o: 17}?\nAnswer: 34\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -1\/4 (b) -1 (c) -1\/6 (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -30*(-3)\/(-21)*(-14)\/3. Solve 3*w - 4 = -2*t, 4*t + s = 2*t + 3*w for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 4 = -4*g, -5*f + 239*g - 240*g = -21. Solve -f*c + 26 = 3*d, -3*d + 19 + 3 = 4*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j\/j**(1\/3))*j)\/j*j*j**0)\/(j\/j**(-2\/7)*j*j\/(j*j**(-6)*j*j)*j))**(-35\/6) assuming j is positive.\nAnswer: j**(625\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 + 1. Suppose 5 = 4*o + o. Let x be m(o). Suppose x*j + 3*j + 25 = 0, 5*i = -4*j - 690020. Round i to the nearest 10000.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + -4 - 3) + 276 + -288.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130*b = 4*w - 133*b + 4, -4 = -b for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1023 - -3?\nAnswer: 1032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, v: 2, m: 1, x: 2}. What is prob of sequence vm?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 61503 divided by -13\nAnswer: -4731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 638, 1268, 1894, 2516, 3134, 3748?\n\"Answer: -2*d**2 + 636*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llpp. What is prob of sequence pp?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -v**3*w + 196*v**3 + v**2*w + 78*v**2 - 79614*v*w + 4*v wrt v.\nAnswer: -6*v*w + 1176*v + 2*w + 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 563 + -547. Suppose -389*t = -397*t + k. Solve -t*b + 4 = 2*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-14) + (-750)\/(-105) - (14 - 940\/155).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 12 or -5127772?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of -v**3\/6 - 169*v**2\/4 - 249*v - 246. Factor r(o).\nAnswer: -(o + 3)*(o + 166)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3265250.20167 - -3265275. Let z = 24.8 - b. Round z to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 10:27 PM?\nAnswer: 2:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 482, 945, 1380, 1775, 2118?\n\"Answer: -2*c**3 - 2*c**2 + 483*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 5119291, 5119288, 5119285, 5119282?\n\"Answer: -3*b + 5119294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1750 - 1753. Let x(r) = r + 5. Let a be x(-3). Let s be (1*-2)\/(a + (j - 0)). Solve s*m = -3 - 1 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (47 + -25 - 8) + -23 + (102 - 0)?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16814.\nAnswer: 2, 7, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9380 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 2*s - 30. Suppose -s = -4*u - 2. Suppose 24 = 3*a - u*a. Calculate the greatest common divisor of a and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 573*h + 603*h + 609*h - 1786*h + 35.\nAnswer: -h + 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n**2 - 28*n + 36. What is g(-14)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 98, 2\/13, 7\/5, -4\/5, -6\/17, 0.4?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 26146962?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3\/5 - 157*y**2\/5 + 5662*y\/5 - 3120.\nAnswer: (y - 104)*(y - 50)*(y - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -6, 4, 8, 16365.\nAnswer: -6, -2, 4, 8, 16365","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(252) + (sqrt(252) - -1*sqrt(252)*-2) + -1 + (sqrt(252) + sqrt(252) + 0 + -5 - (1 + sqrt(252)*-1))))**2.\nAnswer: -252*sqrt(7) + 2317","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/((2 - 1)\/1). Let s be -3 - (-2 + (w - 0)). Let k = s - -5. Which is greater: k or 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*o = -5*o - 24. Suppose -56 = -3*s + o*s. What is the greatest common divisor of 40 and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108*p + 84*p + 353*p.\nAnswer: 545*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, i: 2, k: 1, j: 6, b: 2}. What is prob of sequence kbb?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - 15301015211?\nAnswer: -15301015211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(475)*-2)**2 - sqrt(38)\/(sqrt(8)\/sqrt(4))).\nAnswer: -sqrt(19) + 1897","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -91, -457, -1449, -3379, -6559, -11301, -17917, -26719?\n\"Answer: -52*l**3 - l**2 + l - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*r**3*s**2*x**2 + 23*r**3*s*x**3 + 8*r**2*s**2*x**3 - r**2*s*x**2 - 2*s*x**3 wrt s.\nAnswer: -6*r**3*x**2 + 16*r**2*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -4*f + 3. Let l be y(-1). Suppose 0 = 3*r - 9. Suppose r*p + 0 = 3. Calculate the greatest common divisor of l and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -3, -4, 12 in descending order.\nAnswer: 12, 11, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13504 - -27313. What is the thousands digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2446864*j*k*o**4 + 2*j*o**4 + j - 2*k*o**2 + 365200*k*o wrt o.\nAnswer: -58724736*j*k*o + 48*j*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(1 - 4\/3). What is the tens digit of (-10*3)\/(27\/n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 8:03 PM?\nAnswer: 1:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -109241982 divided by -37?\nAnswer: 2952486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-34)\/(-48) - 2\/(-8) and ((-22)\/24)\/(12\/66)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -0*i. Suppose -5*z + 4*j = -231, -3*z = j - i*j - 142. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -325 in -2\/9, -4, -1\/3, -2\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 132 divide 738144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2\/139 - -427\/695. Suppose 10 = -4*m - 3*q, -5*m + q + 1 = -2*q. What is the third smallest value in g, -0.1, m?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 414248 and 12084?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 0.5 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 224 + -483. Let p = s + 339. Which is bigger: p or 81?\nAnswer: 81","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 4 + 2*3*(3 + sqrt(19)) + 3.\nAnswer: 21 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 + 2 + 4)*(3*b + 2*b - 4*b) + b - 3*b + b as y + p*b and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0363888649 rounded to 3 dps?\nAnswer: 0.036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -5715*j + 17206. Give s(3).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 438867\/8151 - (-9)\/57?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 346.205226 to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3300) - -2*2*sqrt(3300))*-1)\/((sqrt(1458)*2)\/(sqrt(60)\/(2*sqrt(10)))).\nAnswer: -25*sqrt(11)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 - 3*g + 2. Suppose 15 = -4*i + 7. Let n be l(i). Suppose -3*b - 89 = -n*d, b + 0 = -3. Solve -t = -0*q - 2*q + 8, -5*q = -t - d for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 223221113 - 322?\nAnswer: 223220131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 66918896?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*k + 0*k + 1 - 28*k - 33*k in the form y*k + d and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/20*(-38)\/(-7 + -31)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 + -1 - (-24014)\/12320. Let y = o + -9\/770. Find the common denominator of -61\/2 and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 81 - 40. What are the prime factors of u?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6225*l + 4*l**2 + 18666*l - 6222*l - 6219*l.\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s**3 + 7*s**2 + 22*s - 73. Calculate i(6).\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2440 - -2465.62. Round z to the nearest integer.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-171)\/6)\/(12\/(-8)). Let q = -65 - u. Let p = 153 - q. Does 15 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -961010, -961002, -960994, -960986?\nAnswer: -960978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*x - 3*x**2 + 77*x**3 + 4 - 276*x**3 + 200*x**3 to v*x + p*x**2 + d*x**3 + o and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2395*c + 24239. Give z(-10).\nAnswer: 289","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 46\/45?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h**2 + 4*h + 17. Let t = 3 - -5. Let m(s) = 5*s**2 + 12*s + 52. Let v(y) = t*a(y) - 3*m(y). List the prime factors of v(14).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146 + 214 = -5*u. Let n = -500\/7 - u. Put -2\/9, -0.3, n in increasing order.\nAnswer: -0.3, -2\/9, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 z when two letters picked without replacement from wddzoozdzdxuozzwuzoz?\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53 - 129285.\nAnswer: -129232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -237, -209, -163, -99, -17, 83, 201?\nAnswer: 337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -192*h**3 - 97*h**2 + 7*h + 6. Let z(q) = -63*q**3 - 32*q**2 + 2*q + 2. Let o(x) = 2*t(x) - 7*z(x). Find the third derivative of o(y) wrt y.\nAnswer: 342","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a kilometer in meters?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + -11. Let k = 9 - 25\/3. What is the nearest to 1 in q, k, 4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 112 and 308.\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l**3 + 83*l - 28*l**2 + l**3 - 3*l**3 + 8*l + 7*l.\nAnswer: -2*l**3 - 28*l**2 + 98*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s**4\/4 + 7*s**3\/4 - 15*s**2\/4 + 13*s\/4 - 1 = 0. What is s?\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, 2\/15, 2, 9\/307 in ascending order.\nAnswer: -4, 0, 9\/307, 2\/15, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.06, -0.3, 3\/7, 2\/17, -3\/5, 25?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a kilogram in grams?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 + 17*n**2 + n - 11. Let c be l(-17). Let w = -15 - c. List the prime factors of w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 9*a - 9. Let y be q(-1). Suppose -31 = 5*v + 54. Is y at least as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12*(-3 + (-20)\/(-6)). What is the remainder when -61*-1*(p - 3) is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 + 6*g**2 + 4*g + 2. Let l be u(-5). Let x = 37 - 19. What is the remainder when x is divided by 1*l\/(21\/30)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 + 24*h + 26. Let v be t(-23). Let l(s) = -4 + 6 + s + 2 - 11. Give l(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (1 - (-5 - -9)) - -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-112 - (-26 + (-28 - -20))) + -10.\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q + 10. Let r be u(9). Let w = -29 - -29. Let g = w + 4. Is g bigger than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*r + 2 - 11*r - 2 to u*r + g and give u.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.1, -2\/231, 2656?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1862952 to the nearest integer?\nAnswer: 1365","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 - 6. Suppose -18 = -2*y + 2*b, 0 = -3*y + b + 11 + 10. Let i be 3*f*8\/y. Calculate the highest common divisor of i and 140.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -544211*k**2 + 4190339?\nAnswer: -1088422*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 3*s**2 - 8*s + 7. Let n be r(3). Suppose 5*d - 4*d + 4 = 3*x, n = 2*x + 3*d. Solve 5*m + 5*k = 0, -4 + 16 = -x*m + 2*k for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*y + 11*y = -40. Is 2\/(3*y\/1515) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 2 p, and 1 k when four letters picked without replacement from bzkbbkbkkkpkxpkb?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of -289*p**6\/160 + 493*p**5\/80 - 15*p**4\/2 + 9*p**3\/2 - 10*p**2 + 2*p. Factor j(l).\nAnswer: -3*(l - 1)*(17*l - 6)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2358.4 - -223.73.\nAnswer: -2134.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(1*-6)*(45060\/(-24032))\/(285\/(-72))\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2 + 23*u - 34. Let g be d(-25). Solve -7 = 4*o - 2*v + 1, 4*o + 4*v - g = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 963?\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 2615?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of 25*g**8\/1176 + 37*g**7\/49 - 38*g**6\/35 + 46*g**5\/105 + 34*g**2 - 148. Factor z(m).\nAnswer: 2*m**2*(m + 23)*(5*m - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**4\/13 + 164*u**3 - 89936*u**2\/13.\nAnswer: -2*u**2*(u - 1022)*(u - 44)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a microgram in nanograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(15\/(75\/10))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 422649095?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/56 and 49\/5471580.\nAnswer: 76602120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 23501905 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*p**4 - 5*p**4 - 3*p**4 + (p**3 - p**3 + 2*p**4)*(1 + 1 + 0) + 2*p**4 - 2*p**4 + 2*p**4 + p**4 + 3 - 3 - 2*p**4 + 0*p**4 - 4*p**4.\nAnswer: -4*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 128*x - 3. Let o(a) = 168*a - 4. Let z(m) = -4*g(m) + 3*o(m). Let h(f) = 515*f**2. What is h(z(q))?\nAnswer: 32960*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 6*r + 21 = 3*s, -2*s = 4*r + 10. Let i(o) = -157 + o**s + 157 - o**2 + o. Let f be i(2). Solve -3*z = 5*u - f, 2*u - z = -4*z + 6 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -u - 2*o + 288, 3*u - 2*o = 288. Suppose u + 63 = 3*b. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.768 + 0.232. Suppose p = -4*p - 10. Which is the smallest value? (a) -5 (b) p (c) y (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - c - 10, 4*c = -7 - 9. Let p(t) be the second derivative of 0 - t**u + 2*t + 0*t**2 - 1\/6*t**4. What is the second derivative of p(h) wrt h?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -351*r + 10 + 10 + 6.\nAnswer: -351*r + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20 + -21. Let q be (12\/(-5))\/c*(4 - -1). Solve 3*o - 18*o**2 + 0*o**2 + 9*o**3 + 3*o**2 + 15*o**3 - q*o**4 = 0 for o.\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3363230 less than 3363231?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 568 - -351. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 3)\/(1\/23)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-4) - (-6)\/8. Let f = b + -1. Suppose -2*h - 3*q - 9 = 0, 5*h - q - 20 = -f*h. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -111.488 - -112. Let y = x - 0.1. Round y to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 37\/(-1)*(-4 - -3). Suppose 5*h - 4*v = 50, -3 = -4*h + 2*v + t. Suppose -5 = -5*x + h. Solve z = 2*z - x for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -211*g + 1501 = -1664 for g.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1286 + 1289. Sort a, -3, 23, 2, -4 in decreasing order.\nAnswer: 23, a, 2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005773445398 rounded to 4 decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2584*u = 40463 + 117995 + 22422 for u.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 - z**2 - 5*z + 2. Let l be h(3). Solve s + 2*w = -2, -2 = -l*s - 7*w + 3*w for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8412 is divided by 51?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 (base 16) in base 10?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 PM and 6:05 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 11\/3 + 2\/(-3). What is the first derivative of -9 + o*x + 14 + 13 - 2 wrt x?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/27, -4, -3\/16, 10 in decreasing order.\nAnswer: 10, -2\/27, -3\/16, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 PM and 12:33 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -55b4 (base 16) in base 10?\nAnswer: -21940","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*x + 0*x + 1011*x**2 - 512*x**2 - 495*x**2.\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4688 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 3412?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 78 + -44. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -589 = -5*l - 20279. Let q = 12439 + l. Is q prime?\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) 0.2 (c) 0.0723 (d) 2 (e) -1.6 (f) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 7*n**2 + 246*n + 284. Determine t(-34).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-65)\/7 + (-16)\/(-56). Calculate the common denominator of 35\/9 and 78\/1071*i - (-6)\/(-21).\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3360)\/180 + 19)*(4 - 2)\/2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7081\/19305 - 1\/7722. Find the common denominator of -103\/10 and p.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + -3 + -8*9\/(-18). Solve -9*c = -y*c - 21 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 41 - 6*o - 41. Let w(i) = -i. Determine w(c(y)).\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68474.59 decades to months.\nAnswer: 8216950.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/14)\/((j\/j**(-10))\/j))\/(j**6\/j**11) assuming j is positive.\nAnswer: j**(-69\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 33 and 6577?\nAnswer: 6544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -9522, -9972, -10422, -10872, -11322?\n\"Answer: -450*u - 9072","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 PM and 2:52 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 - ((-2)\/6 + 8\/6). Let b(l) = -4*l**2 - 3*l + 3. What is b(s)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*m + 10. Suppose -2 = 3*l - 2*w - 65, -105 = -m*l - w. Find the first derivative of 1 + 5 - l*u + 7*u + 2 wrt u.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 686?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 8 = 4*o, 0*o + 25 = -5*j - 5*o. Let s be ((-3)\/5)\/(j\/10). Does 7 divide 2\/s + 192\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1735 less than 1735?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -26146?\nAnswer: -130730","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 - 8*c**2 + 8*c + 9. Calculate s(-8).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 129876901 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53216.\nAnswer: 2, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -146, -149, -150, -149, -146, -141, -134?\nAnswer: -125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 87722?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + 11. Solve -n = -c - 3*n - 4, t*n = -3*c - 10 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -185, -179, -169, -155, -137?\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -753830 + 0.587731355.\nAnswer: -753829.412268645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 258 - 472. Let z be 3 + j\/30 - -4. Let x = -1 + 0. Is z at least as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -23*i**3 - i**2 - 11*i - 10. Calculate the remainder when n(-2) is divided by 84.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(350)\/(sqrt(7)*2))\/(sqrt(40)*-1).\nAnswer: -sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 16*h**2 - 2*h - 1. Let c(a) = a**3 + 9*a**2 + a + 11. Let x be c(-9). Let j be (-2)\/(-4*x\/(-4)). Is 11 a factor of m(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1336\/440 - (4 - 1). Which is greater: s or -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jf when two letters picked without replacement from {j: 1, f: 1, a: 2, q: 2, g: 1, s: 2}.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 293.81 + 4.\nAnswer: 297.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 - 5 - 1317*(3 - 2). Let f be (u\/32)\/(9\/(-4) - -2). Suppose f = 17*q - 22*q. What is the third smallest value in -1\/6, q, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 777416?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/48080 and -109\/2816?\nAnswer: 8462080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 6*a - 9*a + 494, 4 = -h. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13222 and 2?\nAnswer: 13222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**3 + 3010*u**2 - 458965*u + 1788020.\nAnswer: -5*(u - 299)**2*(u - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -284 + 17 - -141 - 25?\nAnswer: -151","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1514552665043\/2172 + -697307871. Let h = -1\/2172 + y. Calculate the common denominator of h and 43\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*t + 24*t - 203 = 1 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1033 (base 4) to base 9\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 2433?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.24 + 1.54. What is the closest to 8 in k, 1\/4, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 + 3*h. Let y be (8 + -5)*4\/(-3). Let x be u(y). Let o(s) = s**2 - 3*s. Let i(j) = 2*j**2 - 6*j - 2. Let v(b) = 2*i(b) - 5*o(b). Determine v(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 671511?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 211984 = 6*i, 0 = i - g - 36549 + 1219. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 295 divide 1426896?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 537974 and 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 16*d + 340. Give j(-45).\nAnswer: -380","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 2 + 38*l - 2.\nAnswer: 38*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2 - b + 1 + 0*b. Let i(c) = -c**2 - 4. Let g be i(2). Let x be p(g). Calculate the greatest common divisor of x and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -209*m + 143*m + 37*m + 31*m.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 4398 = -4394. What is the nearest to 0 in 13, 7\/3, 0.4, n?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 50 - 50 + 20*m**2 + (5 - m - 5)*(2*m + 0*m - m) - 4*m**2 + 0*m**2 + 7*m**2 + (6*m - 8*m + m)*(-3*m + 6*m - 2*m) to i + c*m + u*m**2 and give u.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + 43 - -63 - 202?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 519.\nAnswer: 4152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = -l - 4*l - 20, 0 = 5*f - l - 27 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s + 2. Let n(x) = x**2 - 6. Calculate the smallest common multiple of n(-3) and h(5).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/1212 and -35\/36558.\nAnswer: 7384716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3041?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(112) - (sqrt(7) + (1 + sqrt(175) - sqrt(175))))**2*5 + -3 + -1.\nAnswer: -70*sqrt(7) + 1716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -53, -110, -169, -230, -293, -358, -425?\nAnswer: -494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 127 = -15. What is the highest common divisor of 80 and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-five quarters of a meter?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 + 7*g**2 + 10*g - 9. List the prime factors of o(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3073500 to the nearest 10000.\nAnswer: 3070000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of 1\/5*b**5 + 13\/3*b**4 - 28\/3*b**3 - b - 113 + 0*b**2. Let a(h) = 0. Calculate h.\nAnswer: -14, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 221496?\nAnswer: 221496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 58961 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-3)\/(-2))\/(3\/8). Solve 1 = c*m - 17*f + 18*f, -2*f + 5 = 5*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((360\/(-84))\/5)\/((-2)\/14).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cvccvcvcccc. Give prob of picking 2 c and 1 v.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1033179, -1033186, -1033195, -1033206, -1033219?\n\"Answer: -v**2 - 4*v - 1033174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 240132145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/(-3))\/((-11)\/(-726)). Suppose -54 = j + 2*j. Let r = j - q. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*d = -236*d - 10332 - 173 for d.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 3*m - 17. Let p(g) be the third derivative of -g**4\/12 + 3*g**3\/2 - 11*g**2 - 15*g. Calculate 5*p(r) + 3*w(r).\nAnswer: -r - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-7)*(-14)\/(-30).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 3 - 4)*(-4*h**2 + 5*h**2 + 2*h**2) + (9 + 12 - 23 - 4*h)*(-2*h + 3*h - 3*h) as q*h**2 + s*h + a and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of a**5\/20 + 5*a**2 - 3*a. Is t(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gl when two letters picked without replacement from kekekkkgekeglkgkl.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/17931 or -1?\nAnswer: 2\/17931","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) + ((sqrt(153) - -3*sqrt(153)) + sqrt(153))*4)\/(sqrt(90)\/(sqrt(100)\/sqrt(10))).\nAnswer: 21*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2323.301 rounded to the nearest 100?\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 + 8*v**2 + 21*v - 2. Let u be i(10). Let y(x) = x**2 + 3*x - 21. Calculate the remainder when 127 is divided by y(u).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -79 + 156. List the prime factors of f.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-32248)\/(-174) - 4\/(-6). Sort s, 13, -1 in descending order.\nAnswer: s, 13, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 4 = 0, 0 = 3*k - 5*k - 4*i + 6. Suppose 6 = 3*w - 6*w, 3*g = -k*w - 1. Suppose 12 = g*j - 0. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -15*x + 22. Let v(s) = 13*s - 19. Let m(c) = 6*q(c) + 7*v(c). Let w(p) = -p. Give 3*m(k) - w(k).\nAnswer: 4*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 281.85 - 276. Let l = 2.85 - f. Which is the nearest to -10? (a) l (b) 3 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -1093*j - 1. Let z(a) = -9*a. Determine z(p(r)).\nAnswer: 9837*r + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/24)\/(-82*(-129)\/112832)?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/2, 22, -1\/891?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46 divided by -72.\nAnswer: 23\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of -2*r**3 - r**2\/2 + r. Let q = 624 + -597. Suppose 29*o + q = 2*o. Calculate u(o).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 + 9*k**2 - 521*k + 5283. What is z(10)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 - 22*f**2 - 23*f + 5. Let g be z(23). Let n(w) = 61 - 59 + 5*w - g*w + 3*w. Let k be n(-3). Which is greater: k or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -49811300 rounded to the nearest 100000?\nAnswer: -49800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48478012.\nAnswer: 2, 11, 1101773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1695396 divided by 3?\nAnswer: -565132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1101891286?\nAnswer: 2, 550945643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 + 16*a**2 + 30*a + 4. Let r be j(-8). What is the greatest common factor of r and 1472?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6770.\nAnswer: 2, 5, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3187309 and 423.\nAnswer: -3186886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 99 and 132.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6230090.\nAnswer: 2, 5, 623009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 38357 and 121.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of 0*h**3 - 21*h**2 + 5*h + 0*h**5 + 0*h**4 - 4\/5*h**6 - 3. Differentiate f(a) with respect to a.\nAnswer: -96*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*i - 269*y + 265*y - 40, 5*y = 3*i - 20 for i.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 2 - 3 = 0. Let s = a - -7. Find the third derivative of -m**5 + s*m**2 - m**5 - 6*m**2 - 3*m**2 wrt m.\nAnswer: -120*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -c**6 + 7617325*c**5 + 3080274*c**2 + 5*c wrt c.\nAnswer: -120*c**3 + 457039500*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 558 bigger than 559?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 67773 to the power of 1\/3, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1227 or 418509\/341?\nAnswer: 418509\/341","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38998, -39425, -39852, -40279?\nAnswer: -40706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 786, 3128, 7032, 12498, 19526, 28116, 38268?\n\"Answer: 781*u**2 - u + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - z = -12. Suppose -z*q + 0*q - 20 = -4*x, x = 3*q + 9. Let i be ((-2)\/x)\/((-80)\/75). Which is greater: i or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 13) to base 8\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = 5*h - 48. Let w = h + -18. Calculate the remainder when 62 is divided by w\/((3\/(-3))\/16).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30369453?\nAnswer: 3, 23, 233, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -501*y**3 + 2*y**2 + 810*y wrt y.\nAnswer: -3006*y + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -310, -622, -934, -1246?\nAnswer: -1558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 5*m + 22 = -0*m, -4*h = 3*m - 6. What is the third derivative of j**3 - j**3 - 2*j**2 + j**h + j**2 wrt j?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -2*c**3 - 3*c**2 + 2. Let w be (-2 - -1) + 1 + -2. Suppose -5*k = 8*i - 4*i - 68, k = i - 17. What is the remainder when i is divided by o(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.5 - -4.5. Which is the fourth biggest value? (a) 1\/8 (b) -1\/2 (c) 2\/5 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24 - -31. Let h = t + 7. Calculate the lowest common multiple of 46 and h.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s. Let z(k) = -6*k**2. Determine o(z(f)).\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 131*p**3 - p + 2. Let f(x) = 2*x**3 - 11*x**2 - 10*x + 25. Let h be f(6). Let a(n) = -n + 2. Let k be a(h). List the prime factors of u(k).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(-7))\/((-24)\/42). Let c = 0.01 - 0.11. What is the nearest to c in z, -4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 1730, 1496, 0.2, 0.3?\nAnswer: 1496","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -243479*a**2*i*t + 3*a**2*t - 1805*a**2 + 4*a*t - 2*a wrt i?\nAnswer: -243479*a**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -45090 times 93.7?\nAnswer: -4224933","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = -4*w + 8, 2*w + 4 = -872*o + 867*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/n**(-6)))**(-5\/6)\/(n*n\/(n\/n**2)*(n*n\/(n*n**4)*n)\/n))**(-16\/7) assuming n is positive.\nAnswer: n**(-80\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 15) in base 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, g: 2, c: 1, l: 4}. What is prob of picking 2 l?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, 4\/9, 0.8 in decreasing order.\nAnswer: 0.8, 2\/3, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1333100321 (base 4) to base 3\nAnswer: -222111001102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of -d**4\/4 + 5*d**3\/3 + 2*d**2 + 4*d - 1. Let q be p(6). Let y = 13 - q. Is 21 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1055693 to the nearest one hundred thousand.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 9, -n - 3*n = -3*v + 21. Suppose -4*u + 460 = -3*d, -v*u + 4*d + 102 = -2*u. What are the prime factors of u?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 w when two letters picked without replacement from cccccfcwcccccc?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7 + 6)\/(3\/(-318)). Let f = -88 + g. What is the lowest common multiple of 54 and f?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*u + 2*k + 2*k + k + 80 = 0, 22 = -2*u - 7642*k + 7647*k for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -50905 + 50909. Let t = 2123\/8 - 265. Which is the second biggest value? (a) h (b) t (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3498)\/5247*39037*(-3)\/(-2). What is t rounded to the nearest one thousand?\nAnswer: -39000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -540*p + 1556*p + 82731 = -1234*p - 32019 for p.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -12, -35, -72, -123, -188?\n\"Answer: -7*q**2 - 2*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, u: 6, h: 3, m: 1, n: 1}. Give prob of sequence mhuv.\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 85 = 75. Let w(i) = 2*i**2 - 5*i**2 - 2 + 4*i**2 - 6*i + 4*i. What is w(t)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 AM and 7:35 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4232354678 - 683*g - 4232354678.\nAnswer: -683*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -774 + 1481. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*d - 3*d + 5*d)*(1 - 6 + 1) + (-114 + 51 - 18)*(-4 - 6*d + 4))*(3*d + d + 1 - 2*d).\nAnswer: 988*d**2 + 494*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*a + 13*a + 8*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000752062 to six dps.\nAnswer: -0.000752","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -107.32438+3657\nAnswer: 3549.67562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 5*f**3 - 75*f**2 + 11*f. Let h(s) = s**3 - 15*s**2 + 2*s. Give -11*h(p) + 2*n(p).\nAnswer: -p**3 + 15*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -7*x**3 - 4*x**3 + 9*x**3 + 684*x - 289*x + 510 - 3*x**3 + 60*x**2 = 0.\nAnswer: -3, -2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -2*j**2 - 10*j + j - 5*j**2 + 8*j**2 + 8. Give n(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 + 10*x**2 - 14*x - 25. Let b be z(-11). Sort -4, -5, b, 0 in increasing order.\nAnswer: -5, -4, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 60*g**3 + 14*g**2 + 14*g. Let c(t) = 12*t**3 + 3*t**2 + 3*t. Give -14*c(a) + 3*r(a).\nAnswer: 12*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -65 * 0.1\nAnswer: -6.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of -4 + 0*c**2 + c + 1\/4*c**4 - 1\/3*c**3. Suppose 7*k - 3*k = -4. What is b(k)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 41 - 163\/4. Let j = -6.05 + 366.45. Let r = -361 + j. Which is the smallest value? (a) -1 (b) -3 (c) l (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 less than 9.42?\nAnswer: 10.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 12830636.3 to the nearest ten thousand.\nAnswer: 12830000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 - j - 2. Let m(u) = 16*u**2 - 25*u - 17. Let q(t) = m(t) - 5*p(t). Is q(9) a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 315 = -4*m. Suppose 42 = -i + 3*i. What is the highest common factor of m and i?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 1077.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 60314189 by -149663.\nAnswer: -403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26608399 - 141542*m**2 - 26608399.\nAnswer: -141542*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2118245 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 35183441 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2976, -11930, -26852, -47742, -74600, -107426, -146220?\n\"Answer: -2984*c**2 - 2*c + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 96 = -2*t + y, -51 = -t + y. Is t 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 1257954302?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5592.513l?\nAnswer: 5592513","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17450*x - 17442*x + 80 = 0 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 24 + 244242?\nAnswer: 244266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1040002?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-2\/9))**47*b**(2\/7)*b**(1\/5)\/b)**(2\/11) assuming b is positive.\nAnswer: b**(-6904\/3465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -612132? (a) -0.2 (b) 3 (c) 4\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k**2 - 3 - 9*k**3 - k + 6*k**4 - k + 11*k = 0.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3401 - 3401. Solve 2*w + 28*k = 24*k - 10, p = -3*w + k - 1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 94*-0.24513.\nAnswer: -23.04222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -7 - (24 - (-28 + 57))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -988782\/13 at most -76060?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of 2*p**3\/9 - 368*p**2\/3 + 67712*p\/3 + 737. Factor d(b).\nAnswer: 2*(b - 184)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8452564 a multiple of 222?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22 + 23. Let v be (15997 - 0) + 3\/i. Suppose -9*x + 7*x = v. Round x to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 5*w = -0*w - 11, 5*w = 5*i + 15 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -167 + 167 + 9*l**3.\nAnswer: 9*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**3*i**(-4\/7)\/i*i*i**(-2\/17)*i*i\/(i\/(i*i**(-3\/2)*i)))\/((i\/i**(-3))\/((i*(i\/(i*i**9))\/i)\/i))**(-27) assuming i is positive.\nAnswer: i**(90871\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22 - -20) + -46 + (2 - (15 - -1))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 14 = 2*r, 5 = -4*c + r + 43. Suppose -2*q + 5*q + 3 = 0. Calculate the lowest common multiple of c and 2 + q - 19*-1.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 121948439?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 2*n**4 - 94*n**3 - 1126*n**2 - 834*n + 2052 = 0.\nAnswer: -9, -2, 1, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00953654 to five decimal places.\nAnswer: 0.00954","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 773*g + 12054. Is 49 a factor of l(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3375*m**4 + 4*m**2 + 17812*m.\nAnswer: -40500*m**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2142 and 816.\nAnswer: 17136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/53 in -32, 1\/9, 85, -2, 0.5?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15 - (-320)\/16) + (-20)\/1?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 3 + 1)*(-1 + 2 + 2)*(3 - 3 - 5*z - 2) in the form l + a*z and give a.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (32\/(-48))\/((2\/(-6))\/((-187)\/(-34)))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*n + 136 = 800 + 524. Solve 0 = 5*s - 3*x - 20, -2*s + 6*x = 2*x - n for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/152 and 61\/228.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -8*z - 12. Let h be c(-5). Let y = h + -22. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*i - 2*y + 16, -4965*y + 23 = 4*i - 4960*y for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 85, 89, 93, 97, 101, 105?\n\"Answer: 4*p + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(60)\/(sqrt(12) - sqrt(432)) + (sqrt(5) + ((sqrt(5)*-3)**2 - sqrt(5)))*2.\nAnswer: -sqrt(5)\/5 + 90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8330 and 239547770?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/20*(-20)\/(-16)*4. What is the second biggest value in -1\/6, 3, p?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000 (base 2) to base 13.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-2)*(-2)\/(-25)*-1*40?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that j**3\/4 + 3909*j**2\/4 + 23346*j + 139860 = 0.\nAnswer: -3885, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(65) + (-1*-1*sqrt(65) - sqrt(65) - sqrt(65)) - (-4*-1*sqrt(65) - sqrt(65)))\/(sqrt(10)\/(sqrt(18) - sqrt(2)) + sqrt(55)\/sqrt(99)))**2.\nAnswer: 4212\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 319097 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1471069 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9680987 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -67 - -62. Which is the closest to 1\/3? (a) t (b) -3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*f**2 + 0*f**2 - 3*f**2.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50 = 4*s - 3*g, -136*g = 8*s - 137*g - 30 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2769*z**3 - 20885*z**2 + 20885*z**2.\nAnswer: 2769*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21 - 17. What is the second derivative of -l*v - v + 6*v**3 + 0*v**3 wrt v?\nAnswer: 36*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-8) + 5\/20. Suppose 5*i = q, 5*f - 4*i - 10 = -6*i. Suppose -c + 0*a - 5*a + 3 = 0, -2*a - 15 = -5*c. Solve -c = -f*k - 5 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -223, -225, -227, -229, -231, -233?\nAnswer: -235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, 1\/5, -3, -22, 2, 0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**8\/t**(-5\/4))\/(t**(1\/12)\/(t**(1\/9)\/t)) assuming t is positive.\nAnswer: t**(149\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 31815.9um?\nAnswer: 0.0318159","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5848 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/p**28)\/(p\/p**(-2\/41)*p))**(-1\/4))**(3\/19) assuming p is positive.\nAnswer: p**(3573\/3116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 PM and 8:21 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 808?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 d when three letters picked without replacement from tmaud?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -450 - -75. Let n = -320.7 - u. Let w = -66 + n. What is w rounded to the nearest integer?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jcljmjcjj. What is prob of sequence lcmj?\nAnswer: 5\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 74\/5 of a meter?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7)\/28 - ((-33)\/(-12) - 3). Solve r = -2*k + 7*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-29)\/y)\/y**30*y**(6\/23)\/y**(1\/2) assuming y is positive.\nAnswer: y**(-2725\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -20643, -41311, -62007, -82743, -103531, -124383, -145311, -166327?\n\"Answer: -2*d**3 - 2*d**2 - 20648*d + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24 and 932.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -10, -2, -11, -5 in descending order.\nAnswer: 1, -2, -5, -10, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + -5 + 14 - (1 + 0 + -10).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 51440 + -2?\nAnswer: 51434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 56595*g**3*n*s**2 - g**2*n*s + 2*g**2*s**2 - 428*g*n*s**2 + 4*g*n*s + n*s**2 wrt g?\nAnswer: 339570*n*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 3*q + 7. Let a(x) = 10*x + 22. Let n(o) = 2*a(o) - 7*g(o). Let s be n(-8). What is the second derivative of 0*r - s*r + 2*r**2 + 0*r**2 wrt r?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3633)\/(-14)*6\/(-27)*-21 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.2723934 and -0.17.\nAnswer: -1.4423934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 318*y + 762*y = 4507 - 18547 for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -1 + -7 - -3 - 11?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2260 and 12656.\nAnswer: 63280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -119 - 17*l - 123 + 243 as i*l + c and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 505 = 2*y + 503. Let n be y\/(-2) - (-231)\/126. Suppose -n*m - 2\/3*m**2 + 0 = 0. What is m?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 632, 1346, 2136, 3002?\n\"Answer: 38*p**2 + 600*p - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of 269*u**5\/20 + u**4\/6 - 37*u**2\/2 - 16*u + 15. Find the third derivative of h(r) wrt r.\nAnswer: 1614","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 461 - 461 = 4*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a micrometer in nanometers?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-150)*6*16\/(-24)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -3*p - 97200009, 3*p + 17769059 = 2*z + 82569070. Let a be z\/(-6) + (-8)\/12. What is a rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 782710 and 725?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2576*x**2 + 15473*x + 1. Determine c(-6).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 9:31 PM?\nAnswer: 11:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - n = -0*b - 37, n + 2 = 0. Suppose 9*d = 34*d - 700. Suppose d*z - b*z = 1965. Is z a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 0.1, 0.5, 0.1393?\nAnswer: 0.1393","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 277 divide 37859252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2*g**3 + 22*g**2 + 118*g + 69. Let t be l(15). Solve -15 + 171 = t*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 - 2*n - 6. Let j(k) = -k + 1. Let s be j(-1). Suppose -5*i + 9 = -s*i - 3*f, 0 = -2*f. Is t(i) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3019125161 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = -t + 2 + 5, 2*t = -4*f + 4 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 1 = 5*d, -24*d = 4*i - 20*d + 20 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 8 = -5*p + 8*p + 2*k, -2*p + 51*k + 3 = 54*k for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00223682 rounded to 3 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 72 and 673184?\nAnswer: 6058656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 + 3*u**2 - u + 2. Let h(r) = -r**3 - 4*r**2 + r - 2. Let v(t) = -3*h(t) - 4*o(t). Let l be v(-2). Sort l, 1, 5 in ascending order.\nAnswer: 1, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1402235296?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 2*h = 301, -3*h + 911 = 3*p - 7*h. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 + 11*c - 9. Let l be r(13). Let j = -35 - l. Solve j = -8*w + 3*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 5 - 20921554*z + 20921551*z.\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -152.522725 plus 0.1?\nAnswer: -152.422725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19621.\nAnswer: 7, 2803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 28, 50, 58, 52, 32, -2?\n\"Answer: -7*k**2 + 43*k - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11010100 + 10000011010011000011?\nAnswer: 10000011001111101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13 and 351?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1604, -3186, -4768, -6350, -7932, -9514?\n\"Answer: -1582*v - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - (2 + sqrt(128)) - sqrt(6)\/(sqrt(6)\/sqrt(2)))**2 - (sqrt(24)\/(sqrt(6) + sqrt(24)\/sqrt(4)))\/((sqrt(32)\/sqrt(4))\/sqrt(4)).\nAnswer: 63*sqrt(2)\/2 + 132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 - 14*b + 28. Let h be z(12). Suppose -5*t = h*a - 195, 41 + 84 = 2*a - 3*t. List the prime factors of a.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 3 = -0. Let z(f) = 2*f + 3. Let p be z(b). Let n(h) = -h**2 - 3*h - 3. Calculate n(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.5 + 0.47. Let l = 116941 + -116941. Which is the second smallest value? (a) l (b) -0.8 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 8*h**3 - 2*h**2 + 2*h - 1. Let d be x(1). Let o = d + -1. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-5)\/(-2))\/(2*7\/28). Let m be 1\/((-1 - -2)*-1). Sort c, m, -2.\nAnswer: -2, m, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -7. Let y be (m + 88\/30)*-3. Is -2\/7 less than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 781369573 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -467 or -476?\nAnswer: -476","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.94011 millilitres to litres.\nAnswer: 0.00194011","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 618 + -544 + (-65 - 2).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69 + 13 = 14*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41288 - 64657 = -55*u + 413*u + 651*u for u.\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 12 + (4 + -4 - -5).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 - 45*i**2 - 248*i - 92. What is the remainder when 3679 is divided by g(50)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/sqrt(3)*3)\/(sqrt(48)\/sqrt(3)) - (sqrt(10)\/(-2*sqrt(5)) + -1)*-6.\nAnswer: -6 - 3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (287 - 113 - 84 - 20*m**2)*(0*m + 2*m + 0*m) to the form q*m**3 + a*m**2 + p + t*m and give t.\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-49)\/(-13 - 225\/(-18)). Let b(o) = o**3 + 5*o**2 - 2*o. Let i be b(-7). Let z = i + m. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 5*h - 5687, -89*f + 93*f = -h + 22843. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yl when two letters picked without replacement from llhllylll.\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -107266.7359 to 0 dps.\nAnswer: -107267","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 7*u + 7. Let k be z(-1). Suppose -7*a - 31 + 31 = k. Let v be 3\/(9\/2)*18. Solve 4*w = -a*w + v for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.0859 to zero decimal places.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -35 - -15. Suppose 1346 = -z - 2*z + v, 0 = -2*z - 5*v - 869. Is (z\/15)\/(4\/i) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 - 22*s + 61. Give a(-19).\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33480 is divided by 567.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-2)*224\/(-4200)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 16, i: 2}. Give prob of picking 2 r and 2 i.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -72b0 + 81?\nAnswer: -722c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -76289 - -0.1?\nAnswer: -76288.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 - 9 - (4 - 4). Let a = n + 14. Suppose -f = -0*f - a. Is f a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -4*t + 2, -4*k = 4*t - 1 + 13. Let i be -2 + (k - (3 - 28)). Let j = 22 - i. Calculate the highest common factor of j and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 + 29*z**2 + 89*z - 27. Give j(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 77955983395 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002873651 rounded to seven decimal places?\nAnswer: -0.0000287","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -181, -719, -1613, -2863?\n\"Answer: -178*c**2 - 4*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -953 + (16\/24)\/((-1)\/3). Let d = x - -966. Calculate the lowest common multiple of d and 60.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of 3\/10*j**5 + 0 - 1\/10*j**6 + 0*j**2 + 0*j**3 + 0*j**4 + 6*j. Find m such that n(m) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of -3*q**4\/4 - q**3 - 13*q. Find the second derivative of r(u) wrt u.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13)\/(11466\/(-84)) - -87*1\/(-252).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 49.007 - 49. Let l = 92.007 - x. Let p = -91.664 + l. What is p rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 547.561 nanometers?\nAnswer: 0.000000000547561","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and (5\/(-15))\/((-12)\/432)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-7)\/1 - (-59 - -16). Let w = 836 - n. Is w a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -31559.5117 to the nearest 10.\nAnswer: -31560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*a**3 - 5*a + 5*a - 10*a**3 - 29*a**2.\nAnswer: -a**3 - 29*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 555606 divided by 185202?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 1 = -l - 0*b, 7 = -3*l + 4*b. Suppose 0 = -l*q + 38 + 25. Calculate the greatest common divisor of q and 147.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7618383739215 + 7618383736138.999998761. Let b = 3076 + l. Round b to 7 dps.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3\/5 + 348*c**2\/5 - 349*c\/5.\nAnswer: c*(c - 1)*(c + 349)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*v - p, -5*v + 8 = 4*p - 17. Let c be (-10)\/(-90)*3\/v. Factor 0*o + 1\/3*o**3 + c*o**2 + 0.\nAnswer: o**2*(o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2720 divided by -34.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5, b: 11}. What is prob of sequence bp?\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 PM and 12:20 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.1 + -1.5. What is the closest to 0 in -5, 2\/11, k?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -r**4\/5 + 887*r**3\/5 - 56372*r**2\/5 - 11452*r = 0.\nAnswer: -1, 0, 70, 818","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 - 65*i**2 + 8*i + 42. Let a be z(67). What is a rounded to the nearest 100?\nAnswer: 9600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 3*d**2 - 7*d - 14. Let x be c(-4). Suppose a = -2*o + 92 - 17, 5*o + 300 = 5*a. Let h = x - a. Put 4, -21, h in increasing order.\nAnswer: -21, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 3*c - 34, 0 = -c - 1 - 1. Let x(u) = -12*u - 116. What is the remainder when x(-13) is divided by p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2001303 + 10?\nAnswer: 2001313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j - 1. Let a(i) = 21 - 2*i - 1 - 13 + 8*i. Give 4*a(w) + 28*y(w).\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 34\/(-17) - -1*8. Solve -5*t = 5*h + 15, -5*h - 3*t + 25 = -r*t for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -7.2. Let x = 23.1 - 0.3. Let h = x + -19.8. Sort h, -1, y in decreasing order.\nAnswer: h, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -186, -386, -586, -786?\n\"Answer: -200*u + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1701254052?\nAnswer: 2, 3, 3833, 12329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3 (b) 513 (c) -2.8 (d) -0.5 (e) 31\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -7*c**3 - c**2 - 30*c - 31. Let b be n(-1). Solve b*z = -4*s + 15, -8*s = -11*s + z + 16 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 + 2*c - 1. Let w(a) = -13*a**3 + 28*a + 5. Determine -10*l(m) + w(m).\nAnswer: -3*m**3 + 8*m + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15*g**2*v + 2*g**2 + 2*g*v + 2*v - 98 wrt g.\nAnswer: 30*g*v + 4*g + 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.04286997 and -42420.\nAnswer: -42420.04286997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 82626 - 49019. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 plus 18541911.1?\nAnswer: 18541915.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = p - 72, -14 = j - 4*p - 86. Suppose 5*y - j = 413. Suppose y = 5*z - 38. Does 7 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33096914 to the power of 1\/2, to the nearest integer?\nAnswer: 5753","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.4 + -3. Let z = -0.7 + f. Which is the nearest to -2\/7? (a) z (b) 3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(128) + 1 + 5 + sqrt(128)*-2)**2 - sqrt(10)\/(-3*sqrt(80))*6.\nAnswer: -767*sqrt(2)\/2 + 2084","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 18 or -268\/3?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*m**3 + 10*m**3 - 4 + 5 - 12*m**3.\nAnswer: -19*m**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from eueeeeeueeeee.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/2356128 and -113\/46656.\nAnswer: 4712256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (3\/75)\/(39330\/(-42750))\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -35*q**2. Let g(y) = -3587424*y**2. What is l(g(h))?\nAnswer: -450436383452160*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 529 = -115. Let h = -97 + s. What is the remainder when h is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/15, -10, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a4 (base 15) to base 14.\nAnswer: -b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/(d*d*d*d**(1\/9)))\/((d\/(d**(-4\/21)\/d)*d*d)\/d))\/(d\/(d*d\/(d\/d**(-6\/13))*d)*d*d\/d**39) assuming d is positive.\nAnswer: d**(27221\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 31092684?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*p**3 - 3 + 3)*(53 + 87 + 20)*(0*p - p + 3*p).\nAnswer: -1600*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -1. Let f(u) = 9*u + 9. Let t(n) = 2*f(n) + 18*j(n). Let y(i) = 2*i**2. Give t(y(b)).\nAnswer: 36*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 238\/(-459)*18\/21.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -45.52429 - -0.54329. Let i = c - -45. Let r = 7.181 + i. Round r to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 873 or 874?\nAnswer: 874","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 2*l + 7 + 5, s - 4*l - 9 = 0. Let v(b) = -4*b**2 - 4*b + 12. Let z(p) = -p**2 + p + 1. Let t(f) = -v(f) + 5*z(f). Determine t(s).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 4.55?\nAnswer: -1.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 12 = 0, 0 = 4*x + 14*g - 11*g - 1413. Calculate the greatest common factor of x and 81.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -2*i**5 + 32*i**4 - 186*i**3 + 476*i**2 - 512*i + 192 = 0.\nAnswer: 1, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 646\/10013*372\/(-912)?\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-two fifths of a century in months?\nAnswer: 12480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (229138\/(-10072))\/(49\/140)?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33119 to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2a (base 11) to base 15\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -343 + 347. Let t(f) be the first derivative of 1\/2*f**m - 4\/3*f**3 + 0*f - 6 + 0*f**2 + 2\/5*f**5. Solve t(z) = 0 for z.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h\/(h*h**(-2\/3)*h)))**(-41\/3))**(-16)*(h**(-1\/4))**(14\/11)*((h**(-1)\/h)\/h*h)**(-1\/61) assuming h is positive.\nAnswer: h**(876905\/12078)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + 0 + -2)\/((-1268)\/(-11412)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 + 20*i - 102. Let p be m(11). What is the smallest value in 0, p, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*d - 598 = 1481. Suppose -183 = 3*u - d. Which is greater: u or 21\/13?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30 and 2094.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160*v + 163*v = -5*o + 58, 3*v = -12. Solve 4*a + o = -m + 3*m, -21 = m + 5*a for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 11, -2\/59, 0.4, 2\/207?\nAnswer: 2\/207","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 5, v: 7, p: 2, r: 5}. Give prob of sequence pp.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 10*c. Let k(f) = -f + 1. Let o(g) = 1. Let l(j) = 2*k(j) - 2*o(j). What is -16*l(h) - 3*s(h)?\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 3*p + 79. Let u be x(0). Suppose -4 + u = 3*b. Factor b*h**3 - 23*h**3 + 9*h**2 + h**2 + 8*h.\nAnswer: 2*h*(h + 1)*(h + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17.044 - -12.66. Round y to one dp.\nAnswer: -4.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 99 and 319.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1\/7, -0.2, 2\/3 in descending order.\nAnswer: 2\/3, -1\/7, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a - 1220. Let b(v) = 6*v + 6710. Let i(c) = 6*b(c) + 33*w(c). Let p(t) be the third derivative of -t**5\/6 + t**2. Determine i(p(u)).\nAnswer: -30*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1196174 is divided by 615.\nAnswer: 614","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 k, and 1 b when three letters picked without replacement from lkkplpkbklppkjkkk.\nAnswer: 4\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -405558, -405744, -405946, -406170, -406422, -406708, -407034?\nAnswer: -407406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6.67 (b) 6 (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-735)\/525 + (-26)\/(-15). What is the fourth biggest value in -3, 3\/7, o, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-8)\/(-20))\/((-16)\/(-1600)) is divided by 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1965826?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*z - 6 + 15*z - 8*z + 5 - 5 - 11*z + (-1 + 0 + 2)*(-1 + 1 + z) + 3*z - z - z.\nAnswer: -10*z - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 37830.9 to the nearest one thousand.\nAnswer: 38000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1772*c**3*m**2 + m**2 + 1177*m wrt c.\nAnswer: -5316*c**2*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 9:52 AM?\nAnswer: 3:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*v + 12*v = 4. Let s be (-16)\/(((-2)\/(-4))\/v). Solve 7*l + 3 = -s for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x**4*x**0*x*x**(2\/7)*x**(2\/5) assuming x is positive.\nAnswer: x**(234\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2764, -2766, -2768?\nAnswer: -2770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6\/5 of a millimeter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 756 and 954900?\nAnswer: 20052900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 9:39 PM?\nAnswer: 1:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -9*x. Let i(n) be the first derivative of n**3 + 5. Let v(a) = 4*a**2. Let q(c) = -5*i(c) + 4*v(c). Determine q(d(b)).\nAnswer: 81*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 43, 1, 5, 0.4, -0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 867, 1825, 2819, 3849, 4915, 6017, 7155?\n\"Answer: 18*n**2 + 904*n - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -125\/4 in 2\/17, -0.6, 0, 0.4?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-16429)\/(-42) - (-3)\/(-18) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 5 = 0, 5*y = m + 3*m - 45. Suppose 2*d - 5*n = -m*n + 31, 5*d - 63 = 2*n. What is the remainder when 37 is divided by d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 3 + sqrt(12)\/sqrt(4) + 0)**2 + 5.\nAnswer: 4*sqrt(3) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(1872) + sqrt(1872) + 1)**2.\nAnswer: -48*sqrt(13) + 7489","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 + 3 - ((7 - 0) + -4). Suppose 4*y + 17 = 5*s, -2*s + 1 + 1 = 0. Which is smaller: a or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of a*d**2*i*n + a*d**2 + 330*a*i*n**2 - d**2*n - 3*d**2 - d*i*n + 2*d*n**2 wrt a?\nAnswer: d**2*i*n + d**2 + 330*i*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 3 = 3*m. Let h = m - -6. Let x(w) = 11*w - 3. What are the prime factors of x(h)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -41, -370, -1049, -2252, -4153?\n\"Answer: -29*h**3 - h**2 - 123*h + 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 v when two letters picked without replacement from {i: 10, v: 1, d: 1, m: 2, x: 4, q: 1}.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in one fifth of a millennium?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = n + 5*t - t, 0 = -5*n + t + 39. Let q(x) = x - 5. Let k be q(n). Suppose -k*z + 3*z = 0. Solve 4*g + 1 = c + 2*c, z = 4*c - 2*g + 12 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-4*4*sqrt(153) - sqrt(153))**2 - ((-3*sqrt(153))**2 + -1)) + 1.\nAnswer: -214204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 392*v = 157*v + 183*v + 1248 for v.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d - 5871*d**2 - 8 + 2940*d**2 + 2852*d**2)*(-4 + 4 + d**2).\nAnswer: -79*d**4 - 2*d**3 - 8*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - w + 0 + (-1 - 1 + 5)*(-456*w + 3152*w + 2511*w) + (0 + 0 + 4*w)*(1 + 4 - 3) - 2*w - 2 + 2 to k*w + j and give k.\nAnswer: 15626","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -25*x + 89. Let v(k) = 2*k. Determine d(v(f)).\nAnswer: -50*f + 89","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**3*w**(1\/2))\/((w\/(w**(1\/8)*w)*w)\/w)**(-2\/175) assuming w is positive.\nAnswer: w**(2449\/700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of a**7\/42 + a**6\/15 - 3*a**5\/20 - a**4\/3 + 2*a**3\/3 - 72*a - 1. Determine h so that l(h) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + k + 841 - 518 = 0, -4*k = 5*j - 527. Calculate the lowest common multiple of 2461 and j.\nAnswer: 2461","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x - 2. What is the common denominator of p(6) and (-249)\/6*(-53)\/(-265) - -12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*z**2 - 6*z**3 + 5*z**2 + 4*z**3 - 6 - 14*z = 0. What is z?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13343\/(1\/(3 - 2)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -19*k + 5. Calculate o(-4).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-365)\/(-219))\/(-5 - (167\/(-30) + (-12)\/(-20)))?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -610000*w**2 - w - 1. Let v be u(-1). What is v rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/7, -12466, 1, 7, 2\/5, 15 in descending order.\nAnswer: 15, 7, 1, 3\/7, 2\/5, -12466","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23 + 6 + 0)*(-2*l**2 - 1 + 1) - 2*l**2 - 2*l**2 + 3*l**2 - 1 + 1 - l**2 + l**2 - 2*l + 2*l - 2*l**2 + 4*l**2 - l**2 + (3*l + 2*l - 3*l)*(4 - 4 + 2*l).\nAnswer: 38*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -6487833 and -0.4?\nAnswer: 6487832.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of -m**9\/45360 + m**8\/6720 - m**6\/540 - 2*m**4\/3 + 6*m. Let v(r) be the third derivative of l(r). Factor v(o).\nAnswer: -o*(o - 2)**2*(o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, k: 1, t: 1, o: 1, i: 1, f: 2}. What is prob of picking 1 f and 1 k?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -159, -643, -1455, -2601, -4087?\nAnswer: -5919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -648 - -1297. What is the least common multiple of c and 33?\nAnswer: 1947","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 80000539 to the nearest integer?\nAnswer: 8944","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + 2\/2 - (5 - 4). Factor 1\/4*u**k - 1\/4*u**3 + 0*u + 0.\nAnswer: -u**2*(u - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13397.3 less than 0.3091?\nAnswer: -13396.9909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.048 - -0.048. Let q = -2.5 + 3. What is the nearest to p in q, -3, 5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a kilometer in centimeters?\nAnswer: 87500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 106861 - 72759 = 0. What is u rounded to the nearest one thousand?\nAnswer: 36000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 4*j - 3*q = 5, -j + 6*q = -886 + 875 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 + 3 + 7 + -56?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.051, 4.4, 0, 1.32, 2, -3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1529 greater than -19.9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(0 + sqrt(117) + -5*sqrt(117)) - (-5 + sqrt(117) + 1 + sqrt(117))*-3) + 4)**2*5.\nAnswer: 480*sqrt(13) + 2660","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1*2\/(-5))\/(2\/10). Solve 0 = 2*w - 5*l + 20, -5*w + c*l = 6 + 2 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9783987 and 1538?\nAnswer: 19567974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 - 2*o + 2. Let a(x) = 3*x + 352 - 113 + 2*x**2 - 122 - 120. Determine 4*a(p) + 6*k(p).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 45\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = -4*x + 1, 4*x = 2*o + 7 - 9 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (12\/(-16)*346)\/((-201)\/134) and 346?\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/26, 3, -15 in increasing order.\nAnswer: -15, -3\/26, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -740*c + 875. Is 5 a factor of d(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 m, and 1 c when three letters picked without replacement from oommmccpcimccoo?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27 - 23. Let a be 3\/(-4) + (-1)\/d. Sort 8, a, -4 in decreasing order.\nAnswer: 8, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 3 = -3*s, -5*s + 19 - 6 = b. Suppose 22 = 3*f + f - 2*x, 6 = -3*f - 3*x. What is the greatest common factor of f and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 3*k - 7. Let o be p(14). Let r = 119 + o. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -327975*x**2 + 162460*x**2 + 165511*x**2.\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5 + 156\/32)\/((-2)\/66). Let r = w - 91\/24. What is the third biggest value in 3, -2\/15, 0.3, r?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*u - 3*u - u)*((0 - 4 + 5)*(0 - 3 + 2) + 1 - 1 + 1 - 5 + 1 + 3).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 1:30 AM?\nAnswer: 3:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 - 8*s**2 + 10*s + 11. Let d be l(-9). Suppose 2088 = d*n + 3*i, 2*i + 0*i = n - 1058. What is n rounded to the nearest one hundred?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116687460 is divided by 4841.\nAnswer: 4837","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 9*m - 10 = 0. Suppose 46*b - 256 = 30*b. Calculate the lowest common multiple of b and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -67*d**6*i - 21*d**4*i + 110*d**2 + 11*d*i wrt d.\nAnswer: -8040*d**3*i - 504*d*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/3 (b) 0.6 (c) 0.38 (d) -5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of -f**4\/24 + 2*f**3\/3 + 9*f**2. Differentiate n(r) wrt r.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*q + 9 = 4*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 5, g: 4, m: 2, f: 4, d: 1}. Give prob of picking 1 y and 1 m.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 323 = -4*t, 5*t = -5*u + 4*t + 527. Calculate the least common multiple of (30 + 1848\/(-63))\/(2\/135) and u.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 26.818um?\nAnswer: 0.000000026818","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1556, 1436, 1236, 956, 596, 156?\n\"Answer: -40*m**2 + 1596","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 474.\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (190*i - 22*i**2 - 190*i + (3*i - 4*i + 2*i)*(3*i - 3*i + 2*i) + 3*i**2 - 2*i**2 + i**2 + 2 - 36*i + 16*i**2 - 1 + 35*i)*(-2*i**3 + 0*i**3 - i**3).\nAnswer: 6*i**5 + 3*i**4 - 3*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wav when three letters picked without replacement from wwwwwawyyvvtwate?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-3) + (-19)\/(-15). Let j = 54 + -52. Which is bigger: j or i?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -2*m**3\/5 + 116*m**2\/5 + 644574*m\/5 + 129090312\/5 = 0.\nAnswer: -309, 676","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 655209*a**3*o**3 - 65*a**3 + a*o**4 + 17279 with respect to o.\nAnswer: 1965627*a**3*o**2 + 4*a*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1369148*l**4*w - 12*l**3*w - 111*l**2*w - 5*l**2 + 5194*l*w + 2 wrt l.\nAnswer: 32859552*l*w - 72*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37 = 49*p + 159 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**7)**(4\/5) assuming y is positive.\nAnswer: y**(28\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 418 and 3573130.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 4 = 5*u - 2*y, -3*y - 5 = 2*u. Suppose 0 = u*v - 254 + 44. List the prime factors of v.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**32)**49\/(a**(-14\/3))**3 assuming a is positive.\nAnswer: a**1631","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 126731?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 124646190 and 337.\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 - 12*l + 8. Let m be g(-13). Suppose 5*d + 110 = -5*x, 3*x - 109 = 5*d + 7*x. Let c be ((-12)\/14)\/(d\/98). Put 1, c, 5, m in descending order.\nAnswer: 5, c, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 2*k**2 - 7*k + 53. Let s be -3 + 6\/(-15)*(8 + 2). What is the hundreds digit of t(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18905\/1773 - -43\/197. Which is smaller: c or 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of -2*s**5\/15 - s**4\/12 + 3*s**2 + 9. Find the second derivative of p(k) wrt k.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - l = -4*l + 72, 104 = 2*p - 4*l. Suppose -2*z = 3*z - p. Calculate the greatest common factor of z and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12\/7, 1857, -0.14, -4, 5\/2, 1 in ascending order.\nAnswer: -4, -12\/7, -0.14, 1, 5\/2, 1857","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 60.5 in 4, 0.07, 0, -24, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.235611 millilitres to litres.\nAnswer: 0.003235611","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2740 + -63?\nAnswer: 2677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.44 + -0.04. Let w be 4\/14*7\/3. What is the second biggest value in n, w, -1\/6?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_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: Is 347037 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*p + 47*p + 16*p - 285912 = 0. What is the remainder when p is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, 0.11, -5, 2\/5, 4, 0.12 in decreasing order.\nAnswer: 4, 1\/2, 2\/5, 0.12, 0.11, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (162\/504*-8)\/((-65)\/(-91)).\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - ((-51 - -62) + 1 + (-15 - -4)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 6 = -4*b, -3*m + 65 = -b + 59 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + -4. Let f = 16.14 - 756.14. Let u = -739 - f. What is the closest to u in 2, a, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6795825 to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -3*j + 4*j + 3*j + j. Let d(a) = -24*a. What is -6*d(g) - 28*s(g)?\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0041281 rounded to four dps?\nAnswer: 0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -37874 (base 9) in base 16?\nAnswer: -639d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 + 19*l**2 - 17*l - 1. Determine a(18).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-3 - -3) - 8.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 548.1127 nanometers to centimeters.\nAnswer: 0.00005481127","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*v + 16*v - 4*v - 7*v + 223*v**2.\nAnswer: 223*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2a7b4e (base 16) to base 6\nAnswer: -135401130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of 41*l**5\/5 + 7*l**3 - 40. Find the third derivative of q(x) wrt x.\nAnswer: 984*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43083 + 180066 = -4151*f for f.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence esss when four letters picked without replacement from {a: 1, e: 8, s: 4}?\nAnswer: 8\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 + -7. Suppose -3*f = -5*c - 49, -33 = -f + 3*c + 2*c. Suppose 2*o + 36 = -2*n + 6*n, t*o = f. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1688*l**2 + 3792*l**2 - 2844*l**2 + 3771*l**2.\nAnswer: 6407*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 125*r + 1491. Give x(-14).\nAnswer: -259","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152)*2*2)\/(sqrt(8)*2*4)*-4.\nAnswer: -2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6507?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - (-8 + 20)) + -2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -61 - -112. List the prime factors of x.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 5:44 PM?\nAnswer: 8:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w + 4. Let c(a) = -2*a - 2. Let n be c(-2). Let d be j(n). Let i = 18 - 10. Solve 0 = 2*l - d + i for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20611 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 9) in base 5?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 96 = -2*x. Let h(k) = 16*k + 41. Let g be h(-7). Let v = x - g. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32639828 to the power of 1\/3, to the nearest integer?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 + 64*f**2 + 87*f + 2971. What is m(66)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -257 - 2*j**2 - 118 - 55 + 120 - 2*j to the form c*j**2 + k + p*j and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3043 and 45645?\nAnswer: 45645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1231 + 1242. What is the lowest common multiple of 2 and h?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.04 and -7153 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*d + 10 = 24*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -912 - -917.53. Let i = l - 0.53. What is the second smallest value in -5, i, 0.42?\nAnswer: 0.42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/6 and 169\/25140.\nAnswer: 25140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27 - 31. Is 10 a factor of (-2 - t) + -4 + 119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 149 (b) 1\/5 (c) 2 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18084 - 13912. Is 149 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g**2 - 20*g + 24. Let s be m(7). Let o be 40*((-3 - -1) + (-45)\/s). Calculate the highest common divisor of 640 and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 PM and 9:20 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8958, 12358, 15758, 19158?\nAnswer: 22558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 + 13*l**2 + 18*l - 12. What is the smallest common multiple of 24 and k(14)?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**2 + 45*m + 110.\nAnswer: -5*(m - 11)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2347 is divided by 356.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 365015355403 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-9)\/14)\/(102\/119). What is the fourth smallest value in 1\/6, 0.5, b, -3\/5, 2\/15?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 52 = 7. Let j be (3 + (b - -2))\/((-1)\/4). Calculate the greatest common factor of 48 and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1536 and 72816?\nAnswer: 2330112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(1\/9)*f)**16)**(-4\/9) assuming f is positive.\nAnswer: f**(-1088\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 32, -569, -3, -5?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffxfxxxfxxxffffxxfx. What is prob of sequence ff?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21410 = 11*m - 34129. Does 27 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 7 + 3)*(15933*v + 264 + 1157*v - 525 - 2344*v + 261) as y*v + s and give y.\nAnswer: -117968","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 - 10*k**2 - 9*k - 35. Let n be t(-10). Let a be 7\/((-280)\/n) + 2. Sort -2, a, -3 in increasing order.\nAnswer: -3, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2630825.\nAnswer: 5, 47, 2239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 q when two letters picked without replacement from {p: 3, q: 10, n: 1, a: 2, g: 1}.\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -51*r**2 + 24987*r + 1284. Determine f(490).\nAnswer: -186","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 - f**2. Let r(l) = -96*l**3 + 134*l**2. Let y(x) = -r(x) - w(x). What is the third derivative of y(p) wrt p?\nAnswer: 582","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 0.7, -2\/43, -0.054, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -79*n + 577. Determine g(7).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-24)\/(-90)*(-11 - 71\/(-6)). Which is the closest to -136? (a) -1\/2 (b) 3\/2 (c) 5 (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (3 - (-1 - 7))) + 2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 19 = -2*r - x, -5*r - 31 = 4*x. Let k be ((-336)\/(-63))\/(1\/r). Let s = 24 + k. Calculate the least common multiple of 8 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**5 - 6052*u**4 - 12110*u**3 - 6056*u**2.\nAnswer: 2*u**2*(u - 3028)*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1631 (b) 2\/3 (c) -1\/4 (d) -9 (e) 3 (f) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 110246 equal to 110492?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -2. Solve f + 1 = -b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 2*c - 8 = 4*p, 0 = -p - 2*c - 10. Let w = 8 + p. Suppose -w*h = -0*h. Solve -2*s - s = h for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 - o. Suppose 6 = w + 2*q - q, -4*w + 9 = -q. Let a = 2 - w. Suppose 2*d - 3 + 1 = 0. Let n(p) = -2*p**3 - p + 2. Calculate a*z(k) + d*n(k).\nAnswer: -k**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 38 - 82 - 54*f + 40. Let o be y(-1). Let r be 2\/5*(o\/(-18))\/5. Is -2\/5 at least r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + -26 + 6 - (-1508 + 1474).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*z + 146. Let l = z - -111. Does 10 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1894621351 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - -1 - -2)*4. Let p = n + 0. Suppose 2*a = y + 6 + p, 10 = -5*y. Solve -6*j = 3*g - a*j - 13, -5*g + 5*j + 5 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5334*j**2*y**3 - j**2*y**2 + 11262*j**2 + 2*j*y**3 + 388*j*y**2 wrt y.\nAnswer: -32004*j**2 + 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3638 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -113768.518 rounded to the nearest 10000?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -2 - 22. Let v(a) = a + 8. Let o be v(c). Solve 4*j = -4*g - 4 - 20, g + o = j for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (304 + 19 - 296) + 1 + -61?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 1236 = -f + 1258, f = 5*v + 61 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 650 + -645. Solve 10*j = 9*j + i for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 4, 0, -2.\nAnswer: -6, -2, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1323 - -2748. Suppose 12*p + 7*p = k. What is the least common multiple of 55 and p?\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 + 0 - (7 - 20\/5). Let t(o) = -2*o**2 - 10*o - 3. Let s be t(y). Let m = 17 + s. Solve -m*x + 4*x = 6 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3571*l**4 + 509 + 1469 + 2211 wrt l.\nAnswer: -14284*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*w = -9*w - 300. Let n = w + -33. Solve 3*q - m - 5 = 1, -5*q + n = 4*m for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(6*((sqrt(1377) + 2 - sqrt(1377)) + sqrt(1377)))**2.\nAnswer: -149148 - 3888*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*g**3*m**4 + 14*g**3*m**3 - 12*g**3*m + 8*m wrt m.\nAnswer: -24*g**3*m**2 + 84*g**3*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 3*o**2 + 71*o - 252. Let t be b(4). Suppose 5*f = 2*f + 144. What is the greatest common factor of f and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c be -23 + 20 + (-13)\/(-4). What is the nearest to -1\/4 in 0, -3\/7, 3\/7, c?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 12:46 AM?\nAnswer: 2:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*u + 2*u. Suppose -p + 6*p - 20 = 0. Suppose -4*h - z - u = -41, 4*h - p*z = 36. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -203063\/17 - -11945. What is the nearest to 1 in 0.5, 3\/7, 1, r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is e67 - -1c4d?\nAnswer: 2ab4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 10\/3 of a hour?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2166 + 2456. Is m a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 802035 and 803205.\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/4 and -51\/14659648.\nAnswer: 14659648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 178\/(-10) + 17 + 42\/15. What is the fourth biggest value in -5, -14, s, 0, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*(-8)\/36)\/((-2)\/1).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 8*r - 15. Let a be l(3). What is the highest common divisor of 12 and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9.93 - 9.5. Let g = i - -0.07. Let y be ((-2)\/(-6))\/((-8)\/6). Which is the nearest to y? (a) -5 (b) g (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, 6, -4, -1294 in decreasing order.\nAnswer: 6, 3, 1, -4, -1294","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hwhwww. What is prob of sequence whwh?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from exoeooexoo?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 5*p + 2. Suppose -7*z - 975 = -359. Let k be (2 - (-2)\/3)\/(z\/132). Determine b(k).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 38\/69 + -5\/23. Let r(t) be the first derivative of -6*t + j*t**3 - t**2 + 1. Give r(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 102378449128 + 3023.\nAnswer: 102378452151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*(l\/l**(-4))\/l*l)\/l**6)**(-9) assuming l is positive.\nAnswer: l**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20655 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108234489.\nAnswer: 3, 11, 3279833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1695864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100111110011101111 + 100?\nAnswer: 10100111110011110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + f - 12, -5*o + 4*f - 22 = 11. Let r = 22 + -8. What is the remainder when r is divided by 6*o*(-2)\/15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f*f*f**(1\/6)*f))\/f)**49)**(6\/11) assuming f is positive.\nAnswer: f**(-931\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - 2*z + 6, 4*z + 2 = -2*b + 6. Let a(m) = -6*m + 5 - b - 2. What is the units digit of a(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 7*a - 8. Suppose 0*j = a*j - 260. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 121.958 + -5.958. Which is the biggest value? (a) 1 (b) o (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 525264510, 525264511, 525264512, 525264513, 525264514?\n\"Answer: i + 525264509","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.097 - -1.097. Let r(m) = m**2 + 2*m - 2. Let k be r(-2). Which is the closest to k? (a) 0.4 (b) 0.1 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 282190958?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19)\/(-1)*(-6798)\/11742?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**17\/(i*i*i\/(i*i*i**8*i)) assuming i is positive.\nAnswer: i**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuyyuuuyyuuuc. Give prob of sequence yyc.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9554244 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is (-1206)\/(-9) - 18216\/264?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 2. Find the third derivative of -3*l**2 + 6*l**j - 2*l**2 + l**2 - 2*l**5 wrt l.\nAnswer: -120*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 - 3 = -2*o. Let r(f) = f**3 - 11*f**2 - 12*f + 10. Let a = 58 + -29. What is the remainder when a is divided by r(o)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8486 + 8486.0000011111. Round w to seven decimal places.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -3*o + 2. Let w(s) = 8 + 9 - 16 - 3*s. Give 3*t(v) - 4*w(v).\nAnswer: 3*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -0.5, 3\/10, -0.02 in descending order.\nAnswer: 0.4, 3\/10, -0.02, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 249 = -s - 3*d, -s + d + 53 = 0. Suppose -15 = 6*l - s. Let t be (l\/26)\/((-18)\/12). Put t, 3\/4, 0, -1\/5 in descending order.\nAnswer: 3\/4, 0, t, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3109037 is divided by 63448?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 648 and 216?\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 14974.24833 to the nearest 1000.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/(-2))\/((-11)\/(-11)*3\/3).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10668)\/2540*(15\/54)\/(-1)?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (41 - -5) + 91 + -111 + -2 + 15\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 d when three letters picked without replacement from oooddoooodoooo.\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -21*a**3 + a**2 - 33*a + 18. What are the prime factors of r(-9)?\nAnswer: 3, 5, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 2*i - 4 = 2*m, -5*m - 19*i - 4 = -13*i for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -47125 by -9425.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26066?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -133*i**2*r**2 - 138*i**2*r - 36*i*r - 79*r**3 + 2*r wrt r?\nAnswer: -266*i**2 - 474*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 122*q**2 - 98*q**2 + 100*q**2 + 100*q**2.\nAnswer: 224*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -2*f**2. Let h(j) be the third derivative of 2*j**2 + 0 + 0*j + 0*j**3 + 13\/24*j**4. Determine h(b(w)).\nAnswer: -26*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/(-5))\/((-28)\/420). Let o(f) = -f**3 + 5*f**2 + 3*f + 8. What is o(q)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, k: 2, l: 1, e: 1}. What is prob of picking 2 e, 1 l, and 1 k?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 135 and 621?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/(-33))\/(9\/6 + -2). Let r(g) be the first derivative of u*g**3 + 1\/11*g**2 + 0*g + 1 + 1\/22*g**4. Let r(a) = 0. Calculate a.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3112 (base 8) to base 10\nAnswer: 1610","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*u - 14*u - 96 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.43? (a) -2\/9 (b) -0.1 (c) 1\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/3 of a week in hours?\nAnswer: 392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -c - 6. Suppose c = 2*s + 2*y, -8 = -4*s - 2*y + 2. Let d(x) = -x**2 - 10*x**s + 13*x**2. Let b(r) = -8*r. Determine b(d(i)).\nAnswer: -16*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 11111 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 - 4*n - 1. Let u be x(5). Let i = 58 + u. Solve 7*j - 4*j = -i for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*m - 55*m - m**5 - 49*m)*(7 + 1 + 8).\nAnswer: -16*m**5 - 1584*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 + 5*y. Let k be d(5). Let l = -2 - k. What is the units digit of l\/(-4)*26 + -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 52 + -50. Which is the smallest value? (a) 1\/5 (b) r (c) -3 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38113 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -51907, 0, -21 in ascending order.\nAnswer: -51907, -21, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -3840*u**2 + u + 13. Let g be p(5). Let l = -51371 - g. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*v**3 + 2*v**3 - 7*v**3 + (-3 - 2*v + 3)*(-440*v**2 - 42*v**2 - 727*v**2).\nAnswer: 2417*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.042055 - 1.291171. Let j = 13.967784 - s. Let b = -17.3 + j. Round b to four decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, l: 2, w: 4, m: 3, f: 2, h: 3}. What is prob of sequence wfw?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 5*s + 1504, 0 = 3*t + 3*s + 1610 + 646. Let u = -488 - t. Is u a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 545*p**2*z - 5*p**2 - 1317*z wrt p.\nAnswer: 1090*p*z - 10*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 at least 43\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2324 divided by 1\nAnswer: 2324","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0320521951 to 3 dps.\nAnswer: -0.032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21 + 21.64. Let a = g - 0.04. Let w = -1 + a. Sort 2, 1, w in descending order.\nAnswer: 2, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4097981 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.207 - 0.141. Let q = a - 1.1. Let s = -0.134 - q. What is the closest to 2 in s, -4, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3470+-742\nAnswer: -4212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 2 - 2)*(4*a**2 - 16*a**2 - 9*a**2) - 4*a**2 + a**2 + a**2 + a**2 - a**2 - a**2 + (0*a + 4*a - 2*a)*(-1 - a + 1) + a**2 + 2*a**2 - a**2.\nAnswer: -45*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 AM and 2:37 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(720) + 3) - sqrt(720)*4*-4)*6)**2.\nAnswer: -142560*sqrt(5) + 3144420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 11 + 14 + -7 + 2.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 - o + 6. Let i be y(5). Suppose -3*d + 12 = 3*s, 3*d + 0*d - i = 4*s. Is 3 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-8)\/42)\/(-3 + (-35)\/(-15)). Let z = 5\/9 - 37\/18. Let a = z + 7\/4. What is the nearest to d in 3\/5, a, 3\/4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -24143135 + 5?\nAnswer: -24143130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, -5, 2\/5, -3, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.53? (a) -5 (b) 0.3 (c) -12\/95\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13\/3382 greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17743, 17762, 17781, 17800, 17819?\nAnswer: 17838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8358113*z**3 - 2324423*z wrt z.\nAnswer: 50148678*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 >= -11\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 192\/(-32) + -2 + 4\/(-4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 - 6*w**2 + 12*w - 11. Let g be f(4). Let l = 291 - 249. Put l, -3, g in ascending order.\nAnswer: -3, g, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-42)\/7*4\/(-8). Suppose q - 1816 = -4*q - h*z, -3*z - 9 = 0. Is q a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-9))**39*(v\/(v**(-1\/9)*v*v))**(-34) assuming v is positive.\nAnswer: v**(-2887\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 6*t**5\/7 + 13505*t**4\/7 - 1280548*t**3\/7 + 29744612*t**2\/7 = 0.\nAnswer: -14057\/6, 0, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -87.09643 - 0.05157. Let d = -87 - o. What is d rounded to 2 decimal places?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4731 (base 8) to base 4\nAnswer: 213121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1462137 to the power of 1\/2, to the nearest integer?\nAnswer: 1209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 + 10*d**2 - 11*d - 6. Calculate w(-11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 5008, 4982, 4944, 4888, 4808?\n\"Answer: -m**3 - 19*m + 5028","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/(2\/(-4)*2). Suppose -4*o + j = -60. Does 5 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 1524704.5093257?\nAnswer: -1524704.5093257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-30*f + 23*f - 11*f - 1 + 2*f + 1 + (5 - 1 - 5)*(f + f - f))*(4 - 4 - 1)*(0 - f + 0) in the form w*f**2 + v*f + i and give w.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 + 9. Let s = -8 - -13. Suppose s*q = g + 149, t*g - 45 = -q + 4*g. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3, 11, 19, 27?\n\"Answer: 8*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a - 5. What is o(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -10 (b) 2 (c) -7\/388 (d) -2\/7 (e) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-543)\/(-6) + (-7)\/14. What is the greatest common factor of 20 and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 3\/8, 3, 12?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-29722.\nAnswer: 8916.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5732 divided by -4?\nAnswer: -1433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 890228.64 to the nearest 10000.\nAnswer: 890000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 45773 or -0.07?\nAnswer: 45773","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(1\/6)*(k\/k**(-7))\/k)\/(k**(-1\/6)\/k**(-1\/4)) assuming k is positive.\nAnswer: k**(97\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2014779*k**5 - 3413*k - 563 wrt k.\nAnswer: -40295580*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/547 and 41\/12.\nAnswer: 6564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -6*y - 4. Let k(x) = x + 1. Let j = -12 - -8. Let r(d) = j*k(d) - m(d). Let w(a) be the third derivative of -a**5\/60 + a**2. Give r(w(q)).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-1*sqrt(475) - sqrt(475))**2*-6 - 4*(sqrt(475)*-1 + 4)**2.\nAnswer: -27614 + 160*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*d*o**2*s**3 - d*o + o**3*s**2 - 22*o**3 - 33*o*s + 122*s**3 wrt s?\nAnswer: -12*d*o**2*s + 2*o**3 + 732*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -5 + 13 - (8 - 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 79 (base 11) to base 7\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(2 - (-11)\/(-5)). Suppose f - h*v - 1 - 4 = 0, -1 = 4*f + v. Solve f = o + 3 - 5 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-1) - 18\/(-2). Suppose 0 = -7*u + 52 + d. Solve 0 = u*v - 4*v - 15 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/92 and 14\/11?\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 834339079.\nAnswer: 7, 1721, 69257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 4*b = -124. Let h be (513\/(-18))\/((-57)\/30 - -2). Let w = b - h. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 247 and 65?\nAnswer: 1235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 7:00 PM?\nAnswer: 4:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -32313 (base 4) in base 15?\nAnswer: -436","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.2 + -0.1. Let z = -0.1 - v. Let f(t) = -t**2 + 4*t + 3. Let p be f(4). Which is the third biggest value? (a) p (b) z (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*y - 10*y = 4*p + 1221, -5*y + 6126 = p. Suppose -6*m = m - y. Calculate the remainder when m is divided by 44.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/(-9))\/((-17)\/153). Suppose 0 = 4*i + 5*b - 39, a*i + b - 10 = 5. What is the lowest common multiple of i and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 72.21175 nanograms?\nAnswer: 0.00007221175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 10 = 5. Let v be (-35)\/8 - ((-78)\/(-16))\/(-13). What is the closest to -1 in -3, v, j?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -163 + 190. Let c = -21 + 182. Let v = c + q. List the prime factors of v.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2 + 2 - 9 + 4*k. Let f be s(7). Suppose 3*m - 10 = f. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.11*6.7.\nAnswer: 0.737","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13023 and ((-32)\/10)\/((-884)\/(-85) - 10) - -41.\nAnswer: 143253","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 - 8*i - 7. Determine l(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -367682548 or 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o**2 - 1211380*o - 109056600 = 0. What is o?\nAnswer: -90, 302935","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7\/4 of a meter?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -9088872 divided by -4?\nAnswer: 2272218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 48 = -4*a, 8 = 4*q - 4. Let p be (-3)\/a + (-6)\/(-15). What is the biggest value in -4, p, 5, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -227*d = 25*d - 132*d + 4080 for d.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2*a + 4. Let l be (2 - (1 - -2))*3. Let f be m(l). Let d = 1244 - 1247. Put 4, d, f in ascending order.\nAnswer: d, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 38*d**3 + 8*d**2 + 36*d. Let h(g) = -25*g**3 - 5*g**2 - 24*g. Calculate -5*f(m) - 8*h(m).\nAnswer: 10*m**3 + 12*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 5:46 PM?\nAnswer: 12:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/3, 2.23, -19, 1790?\nAnswer: 1790","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h + 103 + 23 = 0. Suppose -2*r + 4*l = -r - h, -5*l - 70 = -3*r. What is the greatest common factor of r and 210?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 78312 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -45054*y**5 + 41358*y**2?\nAnswer: -2703240*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ldqkqqkldqlqlqlhhkqq. What is prob of sequence qdd?\nAnswer: 2\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l - 19. Determine g(12).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that z**4\/3 - 4*z**3\/3 - 29*z**2\/3 - 8*z = 0.\nAnswer: -3, -1, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m**2 - 30*m + 79. Calculate the remainder when d(15) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -99316, -198653, -298008, -397387, -496796, -596241, -695728, -795263?\n\"Answer: -t**3 - 3*t**2 - 99321*t + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12136\/(-1480) + 9*1. Which is the nearest to -15? (a) -2\/21 (b) 0.2 (c) m (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2802301 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*r + r**3 - 16*r - 36 + 11*r**2 + 21*r = 0. Calculate r.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121149 - 72174 = -33*q + 201885. Is 4 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 - 6*k**2 + 5*k + 6. Suppose -2*u = u - 15. Suppose u*p = 2*p. Suppose a - 19 = -3*v, p*a = -4*a + 16. Calculate f(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 0 - 6*n**2 + 8*n**2 + 3. What are the prime factors of d(4)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2 - 5*h + 5. Let u(v) = -2*v - 15. Let q be u(-10). What is the remainder when 7 is divided by w(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -74500 divided by -81?\nAnswer: 74500\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-2)\/(-4)*-2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 282 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*m + m**3 + 5*m - 8*m - 1 as l*m**2 + p*m**3 + n*m + a and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, i: 2, j: 4, d: 4, f: 6, r: 3}. Give prob of sequence jd.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 201 - 116. Let n = s - 23. Suppose 3*v - v = n. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3174?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 2*a - 3*n, -5*a - 2*n + 33 + 26 = 0. Let l = 86 - 49. What is the remainder when l is divided by a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-2))\/q**(-4))\/(q**(-1\/4)*(q\/(q**(2\/5)\/q))\/q)*(q**(1\/4))**(-3\/11)\/(((q\/((q**(6\/11)*q)\/q))\/q)\/q**(-2\/3)) assuming q is positive.\nAnswer: q**(1066\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -582 in -0.02, -5, -6\/11, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 - 51*q**2 + 52*q - 92. Give c(50).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2.12959647 and 0.0644431?\nAnswer: 2.06515337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 2*a + 14154, 4*n = 9*a - 10*a + 14153. Let c be n\/22 - -1 - 14\/(-77). Calculate the highest common divisor of 135 and c.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 266*z**2 + 1331*z + 2. Let s be g(-5). Let p(y) = 4*y**2 + 23*y + 1. Let l(q) = 11*q**2 + 69*q + 2. Give s*l(j) + 8*p(j).\nAnswer: -j**2 - 23*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4.034*-2.7\nAnswer: -10.8918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 14443?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25270.\nAnswer: 2, 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 4*x = 26 + 39, -52 = -3*k + 5*x. Let i = k - 7. Suppose -12 = 4*m - 0*m. Sort i, m, -1.\nAnswer: m, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*v + 2*u + 30517 - 30495, 5*v - u = -25 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 20 = -16. Let v = -31 - k. Solve r + 18 = -r + v*l, 5*r + 2*l = -16 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -84.3 (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 3*q = 6, -3*a + 2 = -179*q + 178*q. Solve 0 = a*f + w + 3, -3*f - 2 = 4*w + 5 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 949.5916 litres?\nAnswer: 949591.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (168\/(-18))\/2*(-18)\/(-21).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 4*x = 3*x. Suppose 0 = -k - 3*t + 4, 4*k - 16 = -3*t - x*t. What is the highest common divisor of k and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -68\/219 and -16\/1971.\nAnswer: 1971","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*w - 11*w - 23*w - 14*w.\nAnswer: -40*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4 - (2 + -5))*0. What is the derivative of 2 + 6*q**3 - 4 + 3 + z wrt q?\nAnswer: 18*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 308747949 to the nearest integer?\nAnswer: 676","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/((-24)\/(-21) - 1). Let w(v) = -3*v + 1 + 0*v - b. Let u = -11 - -7. Calculate w(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 184 is divided by ((-2430)\/(-21))\/2 - 35\/(-245)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11200021230 - -2?\nAnswer: 11200021232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000253333 to five dps.\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j = -15*j + 10. Let m(n) = -2*n**3 + 4*n**2 - 2*n. Let l be m(2). Sort -2, j, l in increasing order.\nAnswer: l, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-3\/22))**(-2\/25)\/(m**(-4\/25)\/m**(2\/13)) assuming m is positive.\nAnswer: m**(1161\/3575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -39 - 4*c + 3*c + 46 wrt c?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30792 is divided by 200.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.88 + -0.42. Let t = 1.3 + l. Let g = 4\/33 - -6\/11. What is the nearest to g in 0.2, -4, t?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-11))**(-1\/7) assuming q is positive.\nAnswer: q**(11\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1737\/(-4942) + (-1 - 0). Let c = w - 2\/353. Find the common denominator of -25\/92 and c.\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9365, 9301, 9237, 9173, 9109, 9045?\nAnswer: 8981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 - (2 + -2)\/1. What is the remainder when 29 is divided by 57\/3 + h + -2?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 483 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-9 + (3 - -5)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 + 49*v. Let s(u) = -4172*u**2. What is f(s(h))?\nAnswer: -17405584*h**4 - 204428*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 - 7*a**2 - 2*a + 13. Calculate the remainder when g(8) is divided by 36.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 23227 - 146*n**4 - 25226 + 43*n**2 - 12*n**3 - 43*n**2 wrt n.\nAnswer: -584*n**3 - 36*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94 + -85 + -1 + -16?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17513 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 5 - -1 - 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -692 - -273. Let d = -82 - v. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 53102880?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6923, 6920, 6915, 6908, 6899, 6888?\nAnswer: 6875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 311289, 312247, 313205, 314163, 315121, 316079?\nAnswer: 317037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2442)\/110)\/((-1)\/(-10)). Which is smaller: n or -221?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 305096572, 305096570, 305096568, 305096566, 305096564?\n\"Answer: -2*a + 305096574","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a - a + 0*a)*(241 - 3*a**2 - 238 - 382*a + 385*a).\nAnswer: -3*a**3 + 3*a**2 + 3*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -742, -712, -662, -592?\nAnswer: -502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 31941562 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of -w**7\/420 - w**6\/120 + w**4\/24 + w**3\/12 - 11*w**2 + 22. Let k(m) be the second derivative of z(m). Solve k(u) = 0 for u.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/(w\/(w\/(w\/(w*w**(3\/2)*w*w))))*w**(-2\/9)\/w)\/((w**(-1\/3)\/w)\/w*w**(-13)) assuming w is positive.\nAnswer: w**(353\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 618 and 18865686.\nAnswer: 618","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 7*j**3 + 4*j - 13. Let l(q) = 15*q**3 + q**2 + 9*q - 27. Let o(s) = 6*l(s) - 13*u(s). Is o(6) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -639 + a?\nAnswer: -62f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204) - -4*(sqrt(204) + -1*sqrt(204))) + -2*(-1*sqrt(204) + sqrt(204)))\/((-6*-1*sqrt(96))\/(sqrt(8) + sqrt(288) + sqrt(288)*2)).\nAnswer: 19*sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of -2*a**4 - 20*a**3\/3 - 2*a**2 + 8*a - 22. Factor f(r).\nAnswer: -4*(r + 1)*(r + 2)*(2*r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of -u**5\/2 + 2*u**4\/3 + u. Find the third derivative of r(h) wrt h.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3958899, 0 in ascending order.\nAnswer: -3958899, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 + -163. Let n = s + 178.087. What is n rounded to 2 dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*w + 1460*w**3 + 17*w + 1681*w**3 - 15*w - 2*w as p*w**2 + k + i*w**3 + d*w and give i.\nAnswer: 3141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of 2*u**3\/3 + 8*u**2 - 18*u + 1029. Factor t(b).\nAnswer: 2*(b - 1)*(b + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*((-5)\/(-1))\/(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = -c - 6, 5*c = b + 4*b - 20 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.7 - -0.76. Let w = -0.34 - f. What is the smallest value in w, 1\/3, 4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -2*h**2 + 54*h - 307. Determine c(8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61218590?\nAnswer: 2, 5, 757, 8087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 - 21*f**2 - 12*f + 256. Let r be l(21). Solve -49*v + 53*v - 17 = 5*x, -12 = -r*v + 4*x for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1777, -3557, -5347, -7147, -8957?\nAnswer: -10777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -7112, -14228, -21344, -28460, -35576, -42692?\n\"Answer: -7116*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-16))\/(-48*14\/(-1792))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2700 = -6*j + 150. What are the prime factors of j?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 0.06 (c) 0.3 (d) 0.111 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 223?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -243*o + 220*o - 138 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -24 - -24 - 1*30. What is the remainder when 56 is divided by f*(3 - (-12)\/(-3))?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, p: 13, m: 3}. What is prob of picking 1 r and 3 p?\nAnswer: 143\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of k**2\/2 - 9*k + 43. Let m(r) = r**3 + 2*r**2 - 1. Let o be m(-1). What is f(o)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1216) - (sqrt(1216) + 0) - 2*sqrt(171))**2.\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**2 - 60036*p - 1319340.\nAnswer: -3*(p + 22)*(p + 19990)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -29 (b) 2\/3 (c) -0.011 (d) -0.0021\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 7*b - 1. Suppose 4*q = -12, -2*z - 6*q = -q + 13. Let g be l(z). Is (20\/g)\/((-4)\/(-18)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -72*c**5*l**2 + 792*c**5*l - 31*c**2*l**2 - 12*c**2*l + 8*c*l**2 - 4*l**2 wrt c?\nAnswer: -4320*c**2*l**2 + 47520*c**2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 74401070 to the nearest integer?\nAnswer: 8626","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-3) + 1\/3. Let m = -1105.5 + 1105.5. Let t = -28.97 + 29. What is the nearest to y in m, 1, t?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 + 3*p**2 - 4*p + 2. Suppose 4*h = 7*h + 12. Let d be t(h). Solve -d*l - y = 13, 6 - 3 = -y for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42\/16*(510\/119)\/15.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2166 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 - 54*u**2 + 4*u - 930. What are the prime factors of b(-58)?\nAnswer: 2, 3, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10857 - 2*y**3 + 17*y**3 - 6*y**3 - 10855 + 21712.\nAnswer: 9*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 22431609 to the nearest integer?\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30454 - 1218279\/40. What is the common denominator of -5\/4 and h?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -566 + 52 + 405004*z**2 - 6*z - 202505*z**2 - 202501*z**2 to the form p + m*z**2 + j*z and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 886093?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 57 (b) 5\/4 (c) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -12*a**4 - a**3 - 11*a**2 - 8*a - 22. Let j(d) = -d**4 + d**3 - d**2 - 2. Let v(k) = 22*j(k) - 2*l(k). Find the second derivative of v(m) wrt m.\nAnswer: 24*m**2 + 144*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35286 (base 10) to base 14.\nAnswer: cc06","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -4*f**2 + 7. Let p(c) = -2*c**2. Calculate p(b(u)).\nAnswer: -32*u**4 + 112*u**2 - 98","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 97114 and 14750.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 + -11. Suppose -2 - 18 = -w*u. Suppose -a + 13 = -u. Is a a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-18)\/45 - (-5)\/((-350)\/(-528)) and -55\/18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 + 7 = -3*h. Let m(j) = j**2 - 2*j - 5. What are the prime factors of m(h)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 31281448 and 26828.\nAnswer: 31281448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 520*u + 24. Let q be l(-7). Let z be (-2)\/14 - (q\/56)\/4. Solve -34 = -5*g - 3*s, -g - z = -6*g + 3*s for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c - 20. Let u be n(20). Suppose -14*t + 5387 + 381 = u. Is 24 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 1 - 16. Suppose s = -4*s + 35. Let a = n + s. Does 10 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -3039*g**3 - g**2 - 4*g - 3. Let w be z(-1). What is the second derivative of 5*h**5 + 3039 - w + 14*h wrt h?\nAnswer: 100*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -101002, -99416, -97832, -96250, -94670?\nAnswer: -93092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000017648 rounded to seven dps?\nAnswer: 0.0000176","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 656?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 10, 8, -6, -38, -94, -180?\n\"Answer: -j**3 + 5*j + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 585087000 to the nearest one million.\nAnswer: 585000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 a when three letters picked without replacement from byybbobbobyybaoobooo.\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + 1110?\nAnswer: 1021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -575*c + 487*c + 21868264. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggn when three letters picked without replacement from nngngnnngggggngjqnn.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**17*r*r*r\/r**(-4)*r assuming r is positive.\nAnswer: r**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -10526.\nAnswer: -52630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 20*y**2 + 23*y - 128. Calculate k(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 124 + -121. Determine r, given that -5*r**4 - 26*r - 29*r + 15*r - 7*r**4 + 40*r**h + 12 = 0.\nAnswer: -1, 1\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 672\/864*(-12)\/(-28). Factor -2\/3*p**3 + 0*p - g*p**4 - 1\/3*p**2 + 0.\nAnswer: -p**2*(p + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21242 a multiple of 81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - (7 - 7)) + -1 + -4\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of 5 - 1\/2*x**2 - 1\/6*x**3 - 1\/2*x. Solve o(r) = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + -1. Let f = -26.8 + 27. Which is the closest to 0.1? (a) -7 (b) o (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.206191 to 2 dps.\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 + 48*q**2 - 7*q + 46. Give l(0).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 32*f - 114. Let v(o) = -128 - 16 + 67 - 155 + 63*o. Let j(a) = 5*i(a) - 3*v(a). What is the derivative of j(y) wrt y?\nAnswer: -29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-9)\/108)\/(14\/(-4) - 1). Let t(j) be the second derivative of -2\/9*j**2 + z*j**4 - 6*j + 0 - 1\/27*j**3. Factor t(a).\nAnswer: 2*(a - 2)*(a + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 482539*w**2 - 33*w - 37. Let x be g(24). Suppose -x = -10*s + 5058365. What is s rounded to the nearest 1000000?\nAnswer: 28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(12) + 0) - -6*((sqrt(12)*-2)**2 - sqrt(12)).\nAnswer: -8*sqrt(3) + 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3980 and 360.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 4*k = -9*k + 20, d = -k - 2. What is the tens digit of d\/12 - 3483\/(-12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**2\/3 - 80*q + 67156\/3.\nAnswer: -4*(q - 103)*(q + 163)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in thirteen fifths of a gram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, 123, 10, 4 in descending order.\nAnswer: 123, 10, 4, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1131131304 (base 5) to base 4\nAnswer: -21322200222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 - 0)\/((-5)\/(-20)). Let m be ((-142)\/4)\/((-3)\/h). Calculate the smallest common multiple of 12 and (-6)\/21 - m\/7.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -0.184?\nAnswer: 0.092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 2465.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 2\/9 (b) -0.3 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 452551489 to the nearest integer?\nAnswer: 21273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 4*u = 31084, -4*i + 29*u + 31094 = 27*u. What is the hundreds digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 5\/3, -103, -5\/3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -43162 - -73461. Suppose 25*t - v = 14951. List the prime factors of t.\nAnswer: 2, 5, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 12*q = 16*q + 5, -10 = -2*g - q for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dj when two letters picked without replacement from qqqqqdjjqdjqqjqddqq.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 55, -0.1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2 and 148.841?\nAnswer: 146.841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*k**2 - 1458790*k - 106403413205 = 0. What is k?\nAnswer: -145879","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 334?\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -171 - 170 + 8*h + 332 to the form k*h + w and give k.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7 and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2*x. Let l be u(1). Let p be 15\/(2 + -1) - l. Let t be p\/4 + 3\/(-12). Solve -2*v = -0*v - 4*c + 10, 0 = -4*c + t for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 10*b + 20. Let u be r(-5). Let w be (-1)\/((-3)\/u*-2). Let v(p) = -p - 1. Give v(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 4, 4*p + b - 72 = 3*b. Suppose 0 = -8*f - 0 + p. Suppose f*n + 0*n = -2, 463 = 4*g + n. Does 25 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + 101012?\nAnswer: 101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-8)\/(-6))\/(6\/9). Suppose -b*o + 5*m = -34, -30 - 4 = -2*o - m. What are the prime factors of o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/245*(-75)\/30.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of 0 - 3\/2*p**2 + 3\/5*p**3 - 39*p - 1\/20*p**4. Factor x(j).\nAnswer: -3*(j - 5)*(j - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 1\/3 (b) 11 (c) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/98 + 243048\/(-24206).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133 is divided by 47?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of n**2 + 19 + 1\/24*n**4 + 0*n - 26\/3*n**3. Differentiate u(d) with respect to d.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 + -9. Suppose 41 - 22 = -49*l + 19. Solve b*r + 4*r + 12 = l for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 3*r - 2. Let v be (r\/3)\/(8\/(-24)). Sort v, 3, 0.\nAnswer: v, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -0.2 (c) -469 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -12\/5, -0.2, 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20374529*x**2 - 20374528*x**2 - 138 + 111.\nAnswer: x**2 - 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1430 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 - 7*r - 1. Suppose -14 = 5*u - 3*t + 10, 0 = 2*t + 4. Determine q(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6260, 6248, 6222, 6176, 6104?\nAnswer: 6000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10333288.3 rounded to the nearest one million?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 251047?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11110 (base 2) to base 14.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24 + 8 + 8 + 6 - 10*u**2 to b*u**2 + p*u + j and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 PM and 6:05 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 117769 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -22, -34, -42, -46, -46, -42?\n\"Answer: 2*u**2 - 18*u - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -11*l**2 - 4. Let k(a) = -12*a**2 - 3. Let m(u) = 4*k(u) - 5*q(u). Differentiate m(j) with respect to j.\nAnswer: 14*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 514161 is divided by 7790?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -4*o. Let s(q) = 37*q + 3. Let f(r) = 3*r - 1. Let a(i) = 3*f(i) + s(i). Determine p(a(l)).\nAnswer: -184*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of -a**5\/5 + a**3\/6 + 3*a - 5. Let k(x) be the first derivative of q(x). Find the second derivative of k(d) wrt d.\nAnswer: -24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1936667?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1196.464 + -1188. Round a to 0 decimal places.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ypv when three letters picked without replacement from {q: 1, h: 1, y: 2, a: 2, p: 1, v: 2}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4.8274 - 1.3736. Round b to one decimal place.\nAnswer: -6.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -215951, 68, 5 in decreasing order.\nAnswer: 68, 5, -215951","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a - 140 = -74 - 72 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 19 + 2 = -3*v, 10 = -w - 2*v. Let c = 0.4615 + 0.0285. Let p = c + -3.49. Sort 3, 2\/3, w, p in increasing order.\nAnswer: w, p, 2\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, f: 1, w: 2, d: 2, c: 4, s: 1}. Give prob of picking 2 b, 1 s, and 1 w.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/(-6)*13*(-51)\/(-1105).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 8*u - 5. Let n be k(5). Let r be (n - -2)\/((-3)\/345*-5). Let v = -606 + r. Calculate the remainder when v is divided by 62.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 49641 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h + 3*h - h)*((6*h - 6 + 6)*(-18*h + 81*h + 44*h) + 0*h**2 - 3*h**2 + 2*h**2).\nAnswer: -1282*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 53423271 to the power of 1\/3, to the nearest integer?\nAnswer: 377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -26 - -50. Suppose 0 = -5*i + 244 - m. What are the prime factors of i?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 746 = 2*g, f = 2*g + 100 + 46. Is 5 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 12618418 and 0.4.\nAnswer: 5047367.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1532 take away -0.03?\nAnswer: -0.1232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1555 >= 1474?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -8448000 rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 4*b + 33 = 0, -18 = -5*n + 5*b + 72. List the prime factors of n.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -4*c**2 - 2*c + 10*c**2 - 1 - 3*c**2. Let b(d) = 4*d**2 - 17*d + 5. Let a be b(4). Let k be a\/(1 + (-3 - -5) + -4). Determine v(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 44.92396615 to 1 dp.\nAnswer: 44.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 2*t = 124 - 128, -3*h - 3 = 3*t for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, c: 3}. Give prob of sequence xxcx.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9642 or 129\/2?\nAnswer: 129\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -5*n**3 - 3*n**2 - 13*n - 17. Give p(-2).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 31\/2 of a century?\nAnswer: 18600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300)*-2)\/(2*sqrt(54)) - (0 + sqrt(2592) - 5*(sqrt(64)\/sqrt(2) + sqrt(32)))**2)*2.\nAnswer: -64 - 10*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.47 - 8.67. Let x = 3.2 + r. Let m = 1.8 + -1.7. Which is the closest to m? (a) -3\/4 (b) x (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5814 divided by 306\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-98)\/21)\/(((-550)\/(-375))\/22).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*w + 1291360 - 1292340 = -3*w for w.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 33 + 175. Let r be 6\/j - 4\/26. Does r = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1007, 2017, 3029, 4043, 5059, 6077, 7097?\n\"Answer: y**2 + 1007*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1b - 27442?\nAnswer: -2745d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 4 = -0*g. Let b(n) = -3*n. Suppose 14*d - 12*d = -2. Let z be b(d). Which is smaller: g or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*(-9)\/(252\/(-8)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*f**3 - 104*f + 198*f + 57*f**3 + 88*f + (f**3 + 4*f**3 - 3*f**3)*(3 - 7 + 3) to m + u*f + h*f**2 + s*f**3 and give u.\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 7. Suppose -2*f - 3*x + 13 = 0, 4*x + j - 11 = 2*f. Suppose -4*a + 0 = -4. What is the nearest to a in 5, 0.2, f?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -2*h**2 + 150010*h\/3 - 299996\/3 = 0?\nAnswer: 2, 74999\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 673372 is divided by 78?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i**2 - 9*i**2 + 4*i**2 - 120281 + 120282.\nAnswer: -5*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-4) - (-20)\/48*-3. Let o(s) = -4*s**2 + s + 1. Let t be o(-1). Let j = 3 + -3.3. Sort t, g, j in increasing order.\nAnswer: t, j, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of d**4\/4 + d**3\/3 - 3*d. Let b be z(3). Let t = b + -16. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 11457?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8959\/15 - 1979\/3. Let z = r - -62. Let o be (-8)\/30 + 130\/1950. What is the nearest to z in o, -4\/7, 5?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or -389?\nAnswer: -389","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (138\/(-7))\/((-2)\/5). Let j(o) = -o**3 + 5*o**2 + 6*o + 49. Let k be j(0). Let u = k - h. What is the second biggest value in -1\/4, u, -0.1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - j - 3233 = 71763, 4*l - 4*j = 99984. Let g be (-4 - 264)*l\/(-1). What is g rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -725 + 725.1. What is the third smallest value in h, 0.0357, -4, 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21584 and 284?\nAnswer: 21584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of -c**4\/2 + c**3\/3 + 274*c**2 + 4713*c + 2649. Differentiate m(v) wrt v.\nAnswer: -6*v**2 + 2*v + 548","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w + 3783 = 5*w. List the prime factors of w.\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(304) + -1 - ((sqrt(19) - sqrt(171))*-4 - sqrt(19))))**2.\nAnswer: 96*sqrt(19) + 2752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, 28, 2\/5, 5 in descending order.\nAnswer: 28, 5, 2\/5, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 233, 930, 2093, 3722, 5817?\n\"Answer: 233*s**2 - 2*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*n + 50 - 1 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -3*o**2 - o + 2. Let p(a) = 17*a**2 + 21*a + 6. Let c(r) = -4*f(r) - p(r). Suppose c(z) = 0. What is z?\nAnswer: -2, -7\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/17 in -0.5, -1\/3, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*q + 109 = -83 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 2123811?\nAnswer: -5\/2123811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 88423?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.04 (b) 46280 (c) -0.2 (d) -26\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -544*t + 972 = 748*t + 652*t - 1701*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 349, 853, 1341, 1807, 2245, 2649, 3013, 3331?\n\"Answer: -z**3 - 2*z**2 + 517*z - 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 8 - 71 = 0. Is 3 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 392.87 minus 27976084?\nAnswer: -27975691.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -956544 divided by 18048.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*t - 2*t + t)*(t + 2*t - t) + 0 + 0 + 4*t**2 + (0 - 2*t + 0)*(-1 + 1 - t))*(5 - 5 + 15*t).\nAnswer: 60*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2329016 is divided by 30?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8544\/(-5))\/(36\/(-120)). Calculate the greatest common divisor of 89 and k.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -4*b + 5. Let r(o) be the third derivative of -o**4\/12 + o**3\/2 - 7*o**2. Calculate 2*d(c) - 5*r(c).\nAnswer: 2*c - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ht when two letters picked without replacement from sitsstihhtt?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 229 + 191. Calculate the lowest common multiple of 6 and u.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3109 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -8 (b) 0.4 (c) 66\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (20\/(-100))\/(1 - (-52)\/(-50)). Solve 4*k + p = 24, -i*k = -10*k - 3*p + 37 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 3*b + 526 = 2*b, 3*o - 524 = 2*b. What is the greatest common divisor of o and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (-1 - (1 + 0) - 0)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, -2, -25, 4.\nAnswer: -25, -3, -2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -19359 at most -19357?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 + (-7)\/1)*1404\/(-26).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11101111011011010 (base 2) in base 10?\nAnswer: 122586","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25, 56, 115, 214, 365, 580?\nAnswer: 871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1375, 0, 1, 9\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -8*m + 357. Let g be n(44). Solve 0 = g*t + 2*i - 33, -3*i + 17 = 3*t - 2*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -194 + 199. Solve -6 = -r - 4*k, -5*r + p*k - 5 - 15 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8190 and 12726792?\nAnswer: 445437720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20 + -18. Suppose -4*a + 2*i = -30, -3*i + 33 = w*a + 2*i. Let m be (-316)\/(-36) + 2\/a. Solve 0 = -b - n + 4, -b - b - n = -m for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 - 17*s + 15. Let j = -89 - -152. Let q = -46 + j. What is the units digit of x(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-24)*-9*2\/915*-5\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/60)\/((-90)\/(-360)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 30143331 (base 7) to base 9\nAnswer: 4626840","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -32 + 29. What is the nearest to n in 0, 2\/5, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -843*g + 848*g = 2434500. Round g to the nearest 10000.\nAnswer: 490000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of -3*m**2 - 41*m - 31. Let b be u(-7). Are -1\/83 and b unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 2 + 6 - 34*k**3 + 3*k**3.\nAnswer: -31*k**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 909848\/26 - (-374)\/(-2431).\nAnswer: 2, 17497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 763797*-4\nAnswer: -3055188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from acclaalqrqacqamcql. What is prob of picking 1 r and 1 a?\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*j + 2 = -59 - 27 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -444 + -3?\nAnswer: -447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -64\/5*b**3 + 296\/5*b**2 + 4\/5*b**4 - 224\/5*b - 588\/5.\nAnswer: 4*(b - 7)**2*(b - 3)*(b + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -201344 + 214?\nAnswer: -201130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -2*m - 82, -11 = -4*m - 3*x - 155. Let b(w) = -w. Let n(d) = 3*d + 1. Let s(y) = 7*b(y) + 2*n(y). Let k(r) = 15*r - 33. Calculate m*s(t) - 2*k(t).\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + -6?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**1)**(-31)*l**(-1\/15)\/(l*l**(-4\/3)*l*l) assuming l is positive.\nAnswer: l**(-491\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert b04 (base 15) to base 3.\nAnswer: 10101211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 254*h + 367. Is a(56) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004597 to 3 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-10)\/(-4)*(-53)\/35 and 23\/11.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(637) + 0 + -4.\nAnswer: -6 + 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -13*f + 4. Let q(u) = -7*u + 5. Let m(x) = -d(x) + 2*q(x). Suppose 0 = 3*s - s - 22. Determine m(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 220, 233, 246?\nAnswer: 259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -222315 = -1390*r + 1375*r. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8377.8 - -8378. What is the fourth biggest value in 6, -0.07, -1\/2, i?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -910, -957, -1046, -1177?\n\"Answer: -21*s**2 + 16*s - 905","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -342*l**3*x - 9*l**3 - 2*l**2*x + 8*l**2 - l*x - 40*l + 193*x + 2 wrt l?\nAnswer: -2052*l*x - 54*l - 4*x + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 3*m**2 - 7*m + 4. Let d be q(2). Solve k - 2*r = r + 1, -d*k + 5*r = -3 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -11*n**3 + 287*n**2 - 296*n - 8. Let h(o) = -24*o**3 + 573*o**2 - 594*o - 18. Let x(v) = 9*d(v) - 4*h(v). Suppose x(i) = 0. What is i?\nAnswer: 0, 1, 96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 12*m**2 + 9. Let p be l(4). Let q be p\/8 + 1\/(-8). Solve -2*s + x - 5*x - 10 = 0, 5*s - 4*x + q = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ve when two letters picked without replacement from {h: 3, n: 1, e: 2, z: 4, v: 3, p: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (1*68\/(-30))\/(((-680)\/(-255))\/((-36)\/(-3)))\nAnswer: -51\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110 is divided by 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 17\/4 (b) -5 (c) -975317\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -142, -291, -442, -595, -750?\nAnswer: -907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of w**4\/12 - w**3\/6 - 5*w**2\/2 - w. Suppose -2*x = -y - 7, 0 = -2*x + 4*x + 5*y - 13. Determine t(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 - 37*g**2 - 70*g + 1213. Calculate p(38).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*j + g = 30*j + 1923, 8 = -4*g. Is j a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7025, 12830, 17427, 20816?\nAnswer: 22997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -315*j**3*r**2 - 4*j**3 + 512*r**2 wrt j.\nAnswer: -945*j**2*r**2 - 12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/13))**(-3\/23)*t*t**(2\/73)\/t*t**(-17) assuming t is positive.\nAnswer: t**(-370899\/21827)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 - 12*n**2 + 17*n + 42. Determine b(-13).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gmgx when four letters picked without replacement from xgxgmlggmmmxlx.\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2)\/(h\/(h**(5\/9)\/h*h))*h**(-3\/19)*(h**(-16)*h*h)\/h)**(-46) assuming h is positive.\nAnswer: h**(138460\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 139649505 a multiple of 745?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 3*n + 12879994, -2*d + 0*d - 12880004 = -2*n. Round d to the nearest 100000.\nAnswer: -6400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -246 - -898. Suppose 2*v + p = -2428. Let j = v - -33919\/22. Find the common denominator of 101\/20 and j.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37957 to the power of 1\/2, to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**1*t*t\/t**(-1\/10)*t*t\/(t*t**(-6))*t*t**(1\/9) assuming t is positive.\nAnswer: t**(1009\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/24 and 71\/76?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -49034, -98070, -147106, -196142, -245178, -294214?\nAnswer: -343250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 226 - 130 - 124 + 614*s + 31.\nAnswer: 614*s + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-41)\/(-2) + (-13)\/26. Solve 5*l + 3 - 1 = 4*p, 5*l = -5*p - y for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + -1. Let c(m) = 1 + 14*m**2 - 9*m**2 + 5*m**3 - 6*m**2. Let r be c(a). Sort -3, r, -4 in increasing order.\nAnswer: -4, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -18327*b + 3. Let c(h) = h**2. Calculate q(c(l)).\nAnswer: -18327*l**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 477220 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3354 = -271*d + 2946 - 3928 for d.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1\/3))**(-32)\/(v**(-1)\/v)**(-12\/11))\/(((v\/v**(-5))\/(v**(2\/19)\/v))\/(v**1)**(5\/11)) assuming v is positive.\nAnswer: v**(1282\/627)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -359 + 358.9. Let m = -0.1 - 0. What is the nearest to k in m, -3, 2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 371*b - 2262. Give u(7).\nAnswer: 335","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.5639394 - -1.5639. Round p to 5 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*v - 3*v - v)*(4*v - v - v) + (-2 + 4 + 4)*(4*v**2 - v**2 - 5*v**2) as o + r*v**2 + q*v and give r.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -329.92 - -206.92. Let c = -0.44 - -0.04. Sort 0.3, c, y.\nAnswer: y, c, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 + 7*f**2 + 8*f + 4. Let l be s(-5). Let n = 763 - 693. What is the highest common factor of n and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 813159.8l?\nAnswer: 813159800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.044 - 0.156. Sort -19, q, 0.5 in descending order.\nAnswer: 0.5, q, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 219 and 31317?\nAnswer: 31317","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 153709, 614811, 1383307, 2459191, 3842457, 5533099, 7531111?\nAnswer: 9836487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 1368\/13, 1, -1\/3, 4, 5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 68*z**4 + 7241*z**3 + 29494716*z**2?\nAnswer: 1632*z + 43446","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -37 + 8. Let k = 39 + p. Suppose -4*m = 4*l - 2*l + k, 2*m = 4*l + 20. Let d(n) = n - 9. What is d(m)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 131105?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 4*a. Suppose 0 = -a*z - z + 52. Does 19 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 381 and 20262?\nAnswer: 2573274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/2)\/(4*(-6)\/16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47794.3578us in weeks?\nAnswer: 0.0000000790250625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17180424, -17180442, -17180462, -17180484, -17180508, -17180534, -17180562?\nAnswer: -17180592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 70.\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 560749421 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 80\/14 - ((-20)\/10 + 8). Which is the closest to 2\/7? (a) -1\/7 (b) k (c) 95\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17244 - 5773 + 2*f - 5771 - 5700.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 847 = -855 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 3*t - 33. Let f(s) = 5*s + 2. Let j be f(2). Let y be l(j). Solve -g + 10 = y*i - 0*g, -g - 5 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 157695630*b*v + 33731640*v wrt b.\nAnswer: 157695630*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 2*m + 3*m, 2*m = 5*r. Let h be 8\/44 - 48\/22. Is (2 - -49) + h + r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, h: 3, f: 4, v: 1, k: 2, w: 1}. What is prob of sequence ak?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u - 2*u + 2*u)*(-12*u**2 + 1 - 32*u**2 - 29*u**2 - u).\nAnswer: -73*u**3 - u**2 + u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, -17, -108, -287, -584?\nAnswer: -1029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 20*q - 404 = 0, 6*r + 3 + 36 = 5*r - 2*q for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/3, 0.5, 0.08, -4\/7 in descending order.\nAnswer: 0.5, 0.08, -4\/7, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -29 * -0.729.\nAnswer: 21.141","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.646 + 0.846. Which is the closest to -16? (a) l (b) -3\/8 (c) 1\/3 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (46 + -6 + -8) - (-34 + 30)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x**3 + 613*x**2 - 32422*x - 943. Calculate p(68).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 825?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-22)\/55)\/(42\/63).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1304*s**2 - 6741*s?\nAnswer: -2608","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y**3 + 4*y**2 - 4*y - 11. Suppose -5970*w + 5950*w + 80 = 0. Let v(k) = -k**3 - 3*k**2 + 3*k + 11. Give w*v(l) + 3*n(l).\nAnswer: 2*l**3 + 11","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - 0. Let x(r) = 9*r**2 - 4*r - 5. Let o(n) = 12*n**2 - 5*n - 6. Let i be ((-10)\/(-20))\/(1\/10). Let d(p) = i*o(p) - 6*x(p). Give d(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*l - 3*y, -5*l - 4*y - 1 = -2 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -333 - 162. Let t = -495.000594 - o. What is t rounded to 4 decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*d + 9*d = -39896. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7990 divided by 5.\nAnswer: 1598","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-353 + 340 - (-102)\/4)*((-64)\/20)\/4\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -e68 (base 15) to base 16\nAnswer: -cb0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*0.72389.\nAnswer: -1.44778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1706532.9 - -3401.5?\nAnswer: -1703131.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in twenty-seven fifths of a century?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x**2. Let i(k) = 1. Let j(a) = -15*a**2 + 15. Let o(d) = 15*i(d) - j(d). Determine v(o(t)).\nAnswer: 450*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 85679520 divided by -21419880.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.26 - 3.26. What is the closest to 0.1 in h, 1, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2915231?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 AM and 10:49 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 5*q = 13 + 7, h + 8 = -3*q. Let i be (1 - h)\/(-4 - -2). Suppose -221 = -5*v + k, -v - v - 4*k + 84 = i. Is v a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 not equal to -156010?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 50125339\/14 bigger than 3580382?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ys when two letters picked without replacement from bybbnbbbbsysb?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.089 (b) 0 (c) 17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of 49*d**6\/60 - 7*d**5 + 75*d**4\/4 - 28*d**2 + 3*d. Factor u(z).\nAnswer: 2*z*(7*z - 15)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -460, -1541, -2986, -4507, -5816, -6625?\n\"Answer: 48*i**3 - 470*i**2 - 7*i - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 4*z**3 - 5*z**2 + 11*z - 8. Let w be a(7). Suppose -4*h = o - 280, 5*o - h - 246 = w. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 33964, 33963, 33962, 33961, 33960, 33959?\n\"Answer: -h + 33965","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2809 is divided by 233.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2.4 (b) 4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 300.6 + -301. Let n = 0 - -7. Sort -5, n, m in increasing order.\nAnswer: -5, m, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2*w + 25. Let i be q(5). Let k be 2 - (-1665)\/25 - (-6)\/i. What is the highest common factor of k and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 547270490 minus -1871?\nAnswer: 547272361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2452 < 2452?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 194*t + 50*t + 1881 = -4951 for t.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -162*d**2 + 322*d**2 - 158*d**2 - 9 to w + c*d**2 + m*d and give w.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 52 - 417\/8. Is -1 less than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 39*j**3 + 2*j**2 + 2*j. Let a(u) be the second derivative of 19*u**5\/10 + u**4\/4 + u**3\/2 - 3964*u. Calculate 2*a(w) - 3*o(w).\nAnswer: -41*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 4. Suppose -n = -m - 1. Let g = m - -2. Solve -2*t + g*b = 6, 0 = -3*t - 2*b - 5 - 4 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2 and 236186?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + -6. Let i = y - 0. Let v = 6 + -1. Sort i, -2, v.\nAnswer: -2, i, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 660.22222 + -660.78. Round z to 1 dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-8))\/(q*q**6*q*q*q*q))**(1\/19) assuming q is positive.\nAnswer: q**(-18\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 116831281 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 8*v + 5 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -682767, -1365546, -2048325, -2731104, -3413883, -4096662?\n\"Answer: -682779*u + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7704?\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -7*x - 13. Let k(m) = 8*m + 14. Let n(s) = -6*h(s) - 5*k(s). Let p be n(-9). Let d = p + 8. Is -4\/5 at least as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-1\/5)*p*p\/(p**(-1\/7)\/p)*(p*(p**0\/p)\/p)**(3\/2) assuming p is positive.\nAnswer: p**(101\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 - -9*7\/21. Let o(w) be the first derivative of 5\/4*w**4 + 2 + 0*w + l*w**2 - 7\/3*w**3. Find the third derivative of o(u) wrt u.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c**2 + 10*c - 6. Let m be g(6). Let y(j) = -j**2 - 30*j - 78. Let w be y(-26). Let k = m + w. Does 8 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -116*b**2 - b - 117*b**2 + 330*b**2 - 112*b**2 to the form c*b + s*b**2 + r and give s.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 681*r - 214*r**2 - 344*r - 1 - 338*r to f*r + q*r**2 + v and give q.\nAnswer: -214","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12341 (base 6) to base 4.\nAnswer: 131011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 249*z + 61. Is j(9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1428*t**2 - 1421*t**2 + 4268*t**2 - 1418*t**2.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6755 + 2?\nAnswer: 6757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 - 4*z**2 - 5*z + 8. Let v be c(5). Suppose -921 = v*d - 11*d. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 741?\nAnswer: 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, i: 1, f: 1, w: 2, o: 2, h: 1}. Give prob of picking 1 o and 1 f.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the third derivative of t**6\/120 + t**5\/12 + t**4\/24 - t**3\/2 - t**2. List the prime factors of y(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/48 and 71\/18640?\nAnswer: 55920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.2 - -3.2. Let q = 7.1 - -0.9. Let n = q - 8.5. What is the second biggest value in x, 4\/7, n?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -263, -446, -765, -1226, -1835, -2598, -3521, -4610?\nAnswer: -5871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 1151, 0, 0.2602.\nAnswer: 0, 0.1, 0.2602, 1151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -c**3\/4 + 29*c**2 - 1477*c\/4 + 2499\/2 = 0.\nAnswer: 7, 102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1952 is divided by 93.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**3 - 5*y**3 + 4*y**3)*(y - y - y) + (-51 - 184 - 71)*(3*y - 3*y - 5*y**4).\nAnswer: 1532*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -129 - -67. Let b = -59.96 - l. Let f = 0.04 - b. Do -0.06 and f have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 15229133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 1 + 6 + 7 - 12 - 6*g. Let d(i) = 17*i - 5. Determine 4*d(l) + 11*n(l).\nAnswer: 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -4*u + 128, 128 = 4*u - 28*j + 29*j. Solve -29 = -u*c + 99 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 4:44 PM?\nAnswer: 5:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 441 and 367160283.\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 23142653 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 3. Suppose 3*c - 282 - 54 = k. Let y = 41997 + -41981. What is the highest common factor of c and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 1224*n - 6142. Let g be w(5). What is the fourth smallest value in -4\/3, g, 1\/2, 1\/7, 3\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(648) + sqrt(648) + sqrt(648)*1 + sqrt(648) + sqrt(648))*3 - sqrt(648))\/(sqrt(144)*1*1).\nAnswer: 21*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 39491725?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2*z**2 - 2*z - 23203. Let w(r) = 2*r + 48. Calculate w(i(p)).\nAnswer: -4*p**2 - 4*p - 46358","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h. Let t(a) = 10286*a. Calculate g(t(k)).\nAnswer: 20572*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**2)**(-47)*n\/(n*n\/(n**(-8)\/n))*n**2\/n*n)\/(n*(n*n*n**(-4)\/n*n)\/n*n**(-4\/7)*n**(-2)\/(n*(n\/(n**(3\/8)*n)*n)\/n*n)) assuming n is positive.\nAnswer: n**(-5365\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 - 17*j**2 + 19*j + 14. Let u be z(-18). Let y(t) = t**2 + 3*t + 3. Calculate y(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 t when two letters picked without replacement from {c: 2, g: 1, t: 1, b: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.150487 to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**0)**39*(o**(-1)*o*o*o)**(-33))\/(((o*o**(2\/17))\/(o\/o**(-5)))\/((o*o**(-1\/7)*o*o)\/o**(-5\/2))) assuming o is positive.\nAnswer: o**(-13271\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1143808 is divided by 76222.\nAnswer: 478","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-22)\/(-40) - (12 + 3)\/(-75)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 72 and 8406.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 + 8*m**2 - 8*m + 5. Determine o(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 214 - -11?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7551.\nAnswer: 3, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 3)*(-9*r + 23*r - 12*r) + 6*r - 4*r - 3*r + r + 0*r - 4*r.\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -2*y**2 - 323*y - 13638. Determine k(-90).\nAnswer: -768","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1298452*l**5 + 2634*l + 172?\nAnswer: 25969040*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(-27) - (-13)\/((-585)\/(-350)). Let l be (-32)\/(-3) - (-4)\/(-6). Which is smaller: l or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 118058373?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41013?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + 17 - (3 + 1 + -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 6.1. Let x = n - 0. Is x at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p**4\/p*p*p*p**(-4\/7))\/(p*p\/p**(1\/3)*p**(-1\/6))*(p*(p*(p\/((p\/((p**(-5\/3)\/p)\/p))\/p)*p*p)\/p)\/p)\/(p*p**(-4)*p)*p**5\/p**(-1\/2) assuming p is positive.\nAnswer: p**(247\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 26*b**3 + 6*b**2 - 6*b + 2. Let d be v(2). Suppose -y - 3*h = -242, y - h - d = h. Does 22 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 169?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -371 (base 11) to base 4\nAnswer: -12321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 22049623 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -7570*o + 12 - 7593*o + o**3 - 17*o**2 + 15178*o. Determine t(16).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*g**5 - 4*g**3 - 21916*g**2 - 3092236*g wrt g.\nAnswer: 40*g**3 - 24*g - 43832","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.03, -0.2, 3, -16, -6.6 in increasing order.\nAnswer: -16, -6.6, -0.2, -0.03, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1 (b) 3 (c) -6 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 PM and 12:16 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 AM and 2:10 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 37*x**3 - 11*x**2 - 13*x + 11. Let l(b) = -19*b**3 + 6*b**2 + 6*b - 6. Let h(c) = -6*g(c) - 11*l(c). What is the second derivative of h(d) wrt d?\nAnswer: -78*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -105 - -109. Let d(q) = q**2 - q - 2. Let l be d(3). Let y = a + l. What is the least common multiple of 4 and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18391*b + 47376*b + 91702*b.\nAnswer: 157469*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.06155572 + 8722.\nAnswer: 8721.93844428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/a**(1\/2))*a*a*a*a)**(-2\/91)*(a*a**(1\/10)*a*a)\/(a**(3\/8)*a))\/((a**2\/a)**1*(a**(1\/3)*a*a)\/a*a*a**(-1\/4)*a) assuming a is positive.\nAnswer: a**(-26833\/10920)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of -35\/6*d**3 - 1 - d - 15*d**2 - 5\/12*d**4. Suppose n(q) = 0. What is q?\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, m: 1}. What is prob of sequence oo?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2819 - -2830. Solve q - 1 = -0, -3*q + h = 2*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*c**3 - 8*c**3 + 2*c**3.\nAnswer: -37*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(198)\/(sqrt(12)\/sqrt(2)))\/(-2*sqrt(147)))**2 + (6*(sqrt(99) - sqrt(99)*-2))\/((sqrt(72)\/sqrt(4))\/sqrt(2)).\nAnswer: -11\/49 + 18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 336377 - 170140. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 5) to base 2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1)*x)**(3\/7)*(x**(3\/8)\/x)\/x**(1\/9))\/(x**2*x**3*x*x*x\/(x*x**5*x)*x*x*x**(-1\/7)) assuming x is positive.\nAnswer: x**(-1811\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 12:45 AM?\nAnswer: 10:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -168*j**2 - 19728*j - 3489052. Let n(w) = 25*w**2 + 2818*w + 498436. Let k(h) = 20*n(h) + 3*z(h). Factor k(b).\nAnswer: -4*(b + 353)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 8*n + 778 = 5*v, -6 = -3*n. Suppose 160 = 5*y + 2*h, 3*h = 5*y - 31 - v. List the prime factors of y.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 929981911?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 369.142049 to the nearest integer.\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 361459 - -0.788.\nAnswer: 361459.788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -3*y. Calculate the lowest common multiple of l(-2) and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*z = -146 + 167 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j - 8 + 8 - 6 + 6 - 21*j + (-7*j + 3*j + 3*j)*(3 - 3 - 2) + 2 - 2 - j + (-3 + 3 - 2)*(-4 - j + 4) to w + f*j and give f.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/4? (a) 9\/28 (b) -2.4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 - -2) + (-1)\/(1\/2). Suppose 1 - 15 = -b*v. Suppose v*k = -2*k + 10539. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 3*t = -21, 0 = -2*x - t - t - 26. Let j = -5 - x. Suppose 2*k - j*k = -90. Does 18 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -1.4. Let x = -753\/8 - -94. Sort i, 1\/2, x in ascending order.\nAnswer: x, i, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -642 + 645.93. Let w = -0.07 - f. Let s = 563 + -6195\/11. Which is the third biggest value? (a) 2 (b) s (c) -0.2 (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3675\/544 + -3\/544. Factor 225\/4*s + 125\/4 + q*s**3 + 135\/4*s**2.\nAnswer: (3*s + 5)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1)\/d*d*d**4*d)**(5\/3))**(3\/5) assuming d is positive.\nAnswer: d**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-20)\/(-14) - (-1 + 2). Let k be (-12)\/(-8) - 1\/2. Let m be 7\/(-2) - k\/(-2). What is the closest to 1 in 2\/9, d, m?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -292*a**3*k**2*p - 157*a**3*k*p - 3*a**3*p - a**2*k**2 + a**2 - a*k**2*p - 2*a*k**2 - 26*a*p + 72*k*p wrt a?\nAnswer: -1752*k**2*p - 942*k*p - 18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 87, 190, 361, 600, 907, 1282, 1725?\n\"Answer: 34*t**2 + t + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1110011010111111001001 (base 2) to base 6.\nAnswer: 213010321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, a: 1, j: 5, h: 2, n: 11}. What is prob of sequence fh?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/219*-10*((-4347)\/230)\/(-63)?\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93 is divided by 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.04051 + 7.95949. Let n = -1 + 1.4. Which is the biggest value? (a) n (b) -2\/7 (c) -1 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24773*b**3 + 20320 + 51823*b**3 - 20320.\nAnswer: 76596*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -392665386508 less than 2?\nAnswer: 392665386510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 18510979 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 52975 divided by -3?\nAnswer: -52975\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = x - 4*x - 23, -3*x + 5*u - 74 = -x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of -13*f**5\/60 - 77*f**4\/24 + 13*f**3\/6 - 3*f**2 + 380. Determine q(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-one fifths of a litre?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 + 6*c**2 - 5*c - 6. Let k be g(-7). Let n = k + 23. Suppose 0 = 3*i + 5*b - 10, -n*i - 2*i + 4*b = 45. Sort -6, i, 2.\nAnswer: -6, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -289*t - 13. What is v(0)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of a**5\/12 + 5*a**4\/36 - 12*a. Factor j(t).\nAnswer: 5*t**2*(t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 16.271 to one dp.\nAnswer: 16.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 30131 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 847*v**2 - 493*v**2 - 3*v + 3*v + 222*v**2.\nAnswer: 576*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + -26. Is q >= -23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -37 - 137?\nAnswer: -174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1899\/4 + 479. Is z greater than or equal to 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 980937852.\nAnswer: 2, 3, 19, 4302359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - (4 + 10)) + (406 - 364).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3\/9 - 489103*q**2\/3 + 10271212*q\/9.\nAnswer: -q*(q - 7)*(q + 1467316)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y**3 - 23428*y**2 - 117056*y - 93632 = 0.\nAnswer: -5852, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -12 * -145797\nAnswer: 1749564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 7 + 3)*(-5*j - 1 + 1).\nAnswer: -20*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 3 + 6. Suppose -2*l = u*l - 70. Is 7 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p. Let d(s) = 4*s. Let z(l) = -2*d(l) - 4*o(l). Let u(f) be the first derivative of f**2 + 0*f**2 - 15 + 35. Give z(u(n)).\nAnswer: -8*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/(sqrt(1050)\/sqrt(6) + sqrt(7)).\nAnswer: sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**17\/n)\/n*n**5 assuming n is positive.\nAnswer: n**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -11*w - 12. Let u(c) be the third derivative of 0 - c**3 + 0*c - 5\/24*c**4 + 108*c**2. What is -4*t(l) + 9*u(l)?\nAnswer: -l - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a day in minutes?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 AM and 6:02 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 25223 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 106707 to the power of 1\/2, to the nearest integer?\nAnswer: 327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 + 30*h**2 - 720*h - 8194. Determine m(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 377840 + 435271 = 39*p. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*t**2 + 7*t**2 + 28*t**5 - 20*t**5 wrt t.\nAnswer: 480*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1*2)\/(22\/(-11)))\/(-1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 12*k + 4. Let p = -18 - -25. Suppose -p*l + 4*x + 4 = -3*l, 0 = 2*l + x + 10. Determine h(l).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 44 and 88?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.16 + 1.84. Which is the second smallest value? (a) r (b) 2\/5 (c) 14 (d) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g**3 + 15*g**2 + 7*g**3 - 15*g**2 - 21*g**3.\nAnswer: -13*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 0.18667743754.\nAnswer: -2.18667743754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 - -8. Suppose -a = -q - 11. Let g(x) = -81*x**2 + 24*x + 7. Let z(v) = 40*v**2 - 12*v - 3. Let k(m) = q*z(m) - 4*g(m). Factor k(b).\nAnswer: -(6*b - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 16530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 43 + 22*q - 37*q - 19 - 3*q**3 + 9*q + 18*q - 6*q**2.\nAnswer: -3*(q - 2)*(q + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*u = 115 - 356 - 1412 for u.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - -30 - (-2 + 7) - (-62544)\/(-4464).\nAnswer: -1\/93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 AM and 7:25 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + 3. Let s = 17 - p. What is the remainder when 13 is divided by s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 99 and -43.59.\nAnswer: -4315.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2100)\/21*(-2 + -13908). Round a to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3526351 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3a0 (base 13) in base 2?\nAnswer: 1001111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 7*p**3 + p**2 + 5*p - 15. Let v(m) = -3*m**3 - m**2 - 2*m + 7. Determine 2*n(d) + 5*v(d).\nAnswer: -d**3 - 3*d**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8643?\nAnswer: 3, 43, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, k: 4, x: 6}. Give prob of picking 2 x.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8118 and 23862?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 1 = -39. Suppose q = 2 - n. What is the units digit of 2\/12 + (-53)\/q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -7) + (-2 - (10 - (-13 + 25))).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12 - g + 2*g + 25 + (-g + 0*g - 3*g)*(-2 + 2 + 6).\nAnswer: -23*g + 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -1249*g + 7027. Calculate p(6).\nAnswer: -467","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -71059, -70776, -70493, -70210, -69927?\n\"Answer: 283*a - 71342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10383744 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: List the prime factors of 1738879.\nAnswer: 17, 233, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + 0*o + o)*(-4*o**2 + 5*o**2 + o**2) + 11*o**3 - o**3 - o**3.\nAnswer: 7*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 38, 4137, -0.3.\nAnswer: -0.3, 38, 4137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -4*b. Let f(u) be the first derivative of -u**2 - 43\/3*u**3 + 0*u - 39. Calculate f(g(v)).\nAnswer: -688*v**2 + 8*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 8*p + 1. Suppose 24 = x + 3*x + 5*q, -15 = -3*x - 3*q. Let y be x\/2 - (-3)\/2. What is the lowest common multiple of 9 and c(y)?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 50350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -7.5707 and -0.4?\nAnswer: 7.1707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -326662, -326674, -326720, -326800, -326914?\nAnswer: -327062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 234*g*s*u*x - 106*g*s*x + 6*g - 398*s*u*x + 6*s + 5*u*x with respect to g.\nAnswer: 234*s*u*x - 106*s*x + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 45 or 232\/5?\nAnswer: 232\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -514*y**4 - 89*y**3 - 3*y**2 + 2584*y + 52 wrt y?\nAnswer: -6168*y**2 - 534*y - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t - 1. Let d be v(3). Suppose 5*g + 26 = 5*r - 9, -1 = -4*r - 5*g. Suppose d = j + r. Which is the smallest value? (a) -2\/5 (b) j (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 55*i**3 + 2*i**2 + 2*i - 1. Let h be j(2). Let d be (-26058)\/(-645) + ((-105)\/25)\/(-7). Calculate the highest common factor of d and h.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 421 + 253. What are the prime factors of a?\nAnswer: 2, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*l + 444 - 489 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/((-8)\/(-16)*-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1700 divided by -277667?\nAnswer: -1700\/277667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3147 + -151?\nAnswer: 2aa6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 + 9*r**2 - 17*r - 3. Let d be u(6). Let l be (-36)\/54*(-102)\/4. Suppose -3*f - 5*s - 18 = 0, -4*f - 7 = s + l. Sort -3, f, d.\nAnswer: f, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4799 + -4398. Calculate the remainder when s is divided by 204.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/30 + (-19)\/42. Which is the third biggest value? (a) 1 (b) 3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 - 3*h**2 - 2*h. Suppose -3*m = -0*m. Suppose m*d = -4*d - 8. Determine o(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-16) - (-119)\/(-28). Suppose -4 = -2*w - 0*w + 3*l, 0 = 5*w - 4*l - 10. Is 134\/(-4)*(r - w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -291724 at most -291725?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 68 + -63. Suppose 2*q + 4 = -2*l, 5*l - 2 = a*q - 32. Suppose 0 = -q*y - y + 381. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4822460.99967 + -4822406. Let g = 55 - f. Round g to 4 dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 853607.\nAnswer: 911, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/578 and 89\/430.\nAnswer: 124270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.06 - -135570579096607.\nAnswer: 135570579096607.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 4*j**2 - 3*j. Suppose -1 = -f - 3*c + 2*c, 4*f + c = 13. Let l(z) = -21*z + 7*z**2 + 12*z + f*z**2. Determine -3*l(d) + 8*m(d).\nAnswer: -d**2 + 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 67\/4 of a millennium?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of r**8\/5040 - 49*r**5\/60 + r**2 + 14*r. Let t(v) be the third derivative of z(v). Let m(f) = -22*f**2. What is m(t(k))?\nAnswer: -352*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**1*q)**(-1\/2)*(q\/q**2)\/q**(1\/3) assuming q is positive.\nAnswer: q**(-7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - i + 175. Suppose -2*p - 3*p - i = -r, 4*p = 20. Factor -149*q**2 + 18*q**2 + 5*q**2 + r*q + 49*q**3 - 8.\nAnswer: (q - 2)*(7*q - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 8, y: 3}. What is prob of sequence ydd?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w**2 + 121806*w - 1236391803 = 0.\nAnswer: 20301","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29582.\nAnswer: 2, 7, 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of -5*t**4\/3 + 254*t**3\/3 - 100*t**2 + 346*t. Factor z(y).\nAnswer: -4*(y - 25)*(5*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, r: 3, k: 1, q: 1, m: 4, c: 5}. What is prob of sequence fr?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20320322022 + 10?\nAnswer: 20320322032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 113, 103, 83, 47, -11, -97, -217, -377?\n\"Answer: -i**3 + i**2 - 6*i + 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -21. What is the remainder when j is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 338 divide 1340440?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 13.4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 + 14*i - 18. Determine d(13).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x**4\/3 - 230*x**3 + 25375*x**2\/3 = 0 for x.\nAnswer: -725, 0, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(20\/(-64)*-8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.155, 106, -5, -373 in descending order.\nAnswer: 106, 0.155, -5, -373","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 156055567 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 129 + 49. Let f be -18 + 136\/8 - -16. What is the greatest common divisor of j and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 4*i = 3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a century in years?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o + 1 - 4*o - 2*o. Let u be b(1). Let g(k) = 2*k + 5. Determine g(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 3*m - 13 = -4*p, 4*m = -p + 6 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 12 and 1715 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -215 * -0.03\nAnswer: 6.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**9*z*z)**(2\/9) assuming z is positive.\nAnswer: z**(22\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/1591 (b) 1\/5 (c) -646\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 186114 and 52.\nAnswer: 4838964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -4*k + 31, 4*k - 13 = 3. Put n, 4, -1 in descending order.\nAnswer: n, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -175 + 176. Let x(i) = -i**2 + 6*i - 1. Let o be x(5). Let u be ((-3)\/o)\/(-3)*-1. Which is the closest to -2\/5? (a) 3\/11 (b) k (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 - 7*d**2 + d - 5. Let x be c(7). Let l(h) = -h**3 + 5*h**2 + 8*h - 6. Let s be l(6). Solve x*a = 5*a - s for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2444 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, q: 1, c: 2, r: 2, d: 4, g: 1}. Give prob of picking 1 k, 1 d, and 1 g.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in three tenths of a gram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*p**3 + p**3 - 12*p**2 + 9*p**2 + (-1 + 1 + 2*p)*(2*p**2 - p**2 - 3*p**2) + (p**2 - p**2 + p**2)*(p + p - p).\nAnswer: 5*p**3 - 3*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lmmmmlmmmmmm. What is prob of picking 2 m?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1935107 and 7?\nAnswer: 13545749","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 31 = 2*a - 0*a, 5*a = -10. Calculate the lowest common multiple of 9 and f.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqddllklgqllkolkdklq. Give prob of picking 1 o and 1 k.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {d: 5, o: 1, q: 4, a: 2, s: 1, y: 2}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20071825*f**3 + 45703715*f wrt f?\nAnswer: 120430950*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14789 to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/23)*i**(1\/4))\/((i\/i**(-1\/3))\/i**4) assuming i is positive.\nAnswer: i**(829\/276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*x**5 + 3*x**5 + 8*x**2 + x**5 - x**2 - 5*x**5 - 18*x wrt x.\nAnswer: -100*x**3 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624\/156*(-1)\/((-2)\/(-4))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of c**3*f - 52*c**3 - 2*c**2*f - 181*c**2 + 13*c*f - 220*c - 2*f wrt c?\nAnswer: 6*c*f - 312*c - 4*f - 362","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -486*i**5\/11 + 74574*i**4\/11 - 106944*i**3\/11 + 36504*i**2\/11 - 3648*i\/11 = 0.\nAnswer: 0, 2\/9, 1, 152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2713*o + 60065 = 2508*o. Which is smaller: 4.3 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -64 divided by 7178\nAnswer: -32\/3589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -715*d - 716. What is x(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -512273, -1024544, -1536815, -2049086, -2561357, -3073628?\nAnswer: -3585899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-80)\/(-15)*(0 + -30). Let t be 1857\/((-12)\/y*4). What is t rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*q + 13703 - 16253 = 0. Calculate the remainder when 178 is divided by q.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - 3*2\/(-3))\/1. Suppose 0 = -3*w - 4*y + 27, y - 27 = -3*w + j*y. Calculate the remainder when 49 is divided by w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-84)\/9*120\/200*10\/(-4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2187) + (sqrt(2187) - (4*(sqrt(2187) + sqrt(2187) + sqrt(2187)*-3) - sqrt(2187))))\/((sqrt(18) + 5*sqrt(288) + sqrt(18))\/sqrt(2)).\nAnswer: 63*sqrt(3)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (2 + ((sqrt(320) - 1*sqrt(320))*5)**2 + -2 + sqrt(320) + 3 + sqrt(320) + (sqrt(320)*-1)**2)*1.\nAnswer: 16*sqrt(5) + 319","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 z when two letters picked without replacement from {c: 1, z: 5, a: 10, q: 1}?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 - 9 = -5*u. Let w(l) = l - 20. Let o be w(u). What is the tens digit of o\/6 + 222\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 8) to base 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 80 + 85 + 783*o - 38 - 447*o + 32 wrt o.\nAnswer: 336","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 669 is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 5*n - 5*g + 97, 4*g - 56 = -2*n. What is the highest common divisor of 126 and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 171*r + 7878. Determine v(-46).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**40*(f*f\/f**26)\/f*(f\/(f*f**(-1\/18)))**(-21\/4) assuming f is positive.\nAnswer: f**(353\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 3 = -8. Which is the nearest to -1? (a) -4 (b) 2\/7 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 24625215?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 711897.455 rounded to the nearest one thousand?\nAnswer: 712000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -7*m - 3. Let u = -581 - -587. Let v(p) = 4*p + 2. Let z = 299 + -289. Determine u*i(o) + z*v(o).\nAnswer: -2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18.810811 - -18.81. Let t = o - 0. Round t to four dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 715535 is divided by 238503?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -3*c**3 + 4*c**2 + 4*c. Let j be ((-3)\/1)\/(30\/(-40)). Let l(k) = -6*k**2 - k + 2*k**2 + 5*k + 9*k**2 - 4*k**3. Give j*l(z) - 5*q(z).\nAnswer: -z**3 - 4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 - 12*k**2 - 24*k - 19. What is h(-10)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5437, 11094, 16905, 22870?\nAnswer: 28989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 9 - 5. Suppose -2*f - 2*p = -p - 8, a*p = f + 14. Suppose 0 = -f*r - 2, -2*x + 5*r + 221 = x. Calculate the highest common factor of 8 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from vvvvvvrvrvvvvrvjv?\nAnswer: 39\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171)\/(2*sqrt(9)) + -4 - sqrt(133)\/(1*sqrt(1008) - sqrt(7)))*-6)**2.\nAnswer: -1296*sqrt(19)\/11 + 83547\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60 is divided by 30\/4*(-24)\/(-20)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-two ninths of a day in minutes?\nAnswer: 9920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1021022222 + 10?\nAnswer: -1021022212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 3 + 3)*(-2*t - 4*t + 2*t)*(-130*t**2 + 57*t**2 + 6*t**2) to s + p*t**2 + g*t**3 + v*t and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 6)*(-14 + 1 - 29)*(-b + 7*b - 3*b).\nAnswer: 378*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2286 a factor of 52751736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7*(-11980)\/980 - (5 - (-403)\/(-91))?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 91606 + -424?\nAnswer: 91192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 18*w**3 + 2*w**2 + 2*w - 2. Let u(h) = -234*h**3 - 27*h**2 - 27*h + 27. What is 2*u(f) + 27*y(f)?\nAnswer: 18*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 a factor of 863661?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 211, 808, 1803, 3202, 5011, 7236, 9883, 12958?\nAnswer: 16467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*q + 10 = -11*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -215 + 1206. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1861375331, 3722750663, 5584125995, 7445501327?\n\"Answer: 1861375332*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15654?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -2*(sqrt(396))**2.\nAnswer: -787","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-12)*0)\/(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152*j - 113*j + 8749284 = -11*j. List the prime factors of j.\nAnswer: 2, 3, 5741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/72 and -5\/54?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 267 and 3311535?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1398 - -4385. Is 29 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 733871137 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 + 3*f**2 + 5*f. Let y be r(4). Let x = y + 0. Solve x*h + 2*b - 16 = -0*b, h - 5*b = -18 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + 5412\/(-209) + 12?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*i**3*p**6 - 3*i**3*p**2 + 53*i**3 - 5*p**6 wrt p.\nAnswer: -1320*i**3*p**3 - 600*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -5*f - 3. Let q = -2 + 6. Let o(l) = l. Let w(a) = 10*a + 4. Let s(i) = 4*o(i) - w(i). What is q*s(k) - 5*j(k)?\nAnswer: k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2021 + -121021102?\nAnswer: -121100200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3522 in 1, -9.73, -2\/11, -4?\nAnswer: -9.73","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 8*z + 232. What is h(-31)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4 (b) 0.1 (c) -719\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 0*i = 58. Let l = -19 + i. Calculate the remainder when l is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 PM and 9:14 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 PM and 10:38 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 52\/197 or -1?\nAnswer: 52\/197","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -3*x**2 - x. Let a(v) = 118 + 170*v**2 + 51*v - 118. Let n(u) = a(u) + 51*c(u). Let f(l) = 11*l**2. What is n(f(b))?\nAnswer: 2057*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -109\/3 + 551\/15. Let x = -6 + 11. Let f = 2.2 + 0.8. What is the closest to u in -1, f, x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 49*c**3 + 11*c**2 - 175*c - 17. Let l(s) = -26*s**3 - 6*s**2 + 88*s + 9. Calculate -11*l(b) - 6*u(b).\nAnswer: -8*b**3 + 82*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o**(-22\/7)\/o))\/o*(o\/o**5)\/o*o\/((((o**(-27)\/o)\/o)\/o)\/o)*o*((o\/o**(-2\/7))\/o*o)\/o assuming o is positive.\nAnswer: o**(227\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 184904279?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 280407141 divided by 22029?\nAnswer: 12729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -8, -5, -2, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*n + 6*n + 22*n + 12*n.\nAnswer: 30*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/2 + (-14 - -18). Solve -2*l - k + 3 = 0, -3*l + k - 2*k + y = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3421420 - -11?\nAnswer: 3421431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 2*c + 6*h - 2*h, 2*h + 17 = 3*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2820\/451 equal to 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}